%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.14", %%% date = "23 March 2013", %%% time = "18:01:21 MST", %%% filename = "mandelbrot-benoit.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "17722 25194 98790 1050866", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "Benoit Mandelbrot; bibliography; BibTeX; %%% chaos; Fatou set; fractal; Hausdorff %%% dimension; iterative sequences; Julia set; %%% Koch snowflake; Mandelbrot set; Peano curve; %%% Sierpinski curve; Sierpinski gasket", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of the works of the %%% engineer, geometer, interdisciplinary (some %%% say maverick) scientist, linguist, and %%% mathematician, Beno{\^\i}t Mandelbrot (20 %%% November 1924--14 October 2010). %%% %%% At version 1.14, the year coverage looked %%% like this: %%% %%% 1917 ( 2) 1950 ( 0) 1983 ( 14) %%% 1918 ( 1) 1951 ( 2) 1984 ( 32) %%% 1919 ( 0) 1952 ( 3) 1985 ( 25) %%% 1920 ( 0) 1953 ( 3) 1986 ( 30) %%% 1921 ( 0) 1954 ( 3) 1987 ( 17) %%% 1922 ( 0) 1955 ( 3) 1988 ( 26) %%% 1923 ( 0) 1956 ( 4) 1989 ( 46) %%% 1924 ( 0) 1957 ( 7) 1990 ( 32) %%% 1925 ( 0) 1958 ( 1) 1991 ( 35) %%% 1926 ( 0) 1959 ( 8) 1992 ( 34) %%% 1927 ( 0) 1960 ( 9) 1993 ( 37) %%% 1928 ( 0) 1961 ( 16) 1994 ( 32) %%% 1929 ( 0) 1962 ( 5) 1995 ( 39) %%% 1930 ( 0) 1963 ( 10) 1996 ( 50) %%% 1931 ( 0) 1964 ( 6) 1997 ( 25) %%% 1932 ( 0) 1965 ( 5) 1998 ( 24) %%% 1933 ( 0) 1966 ( 4) 1999 ( 28) %%% 1934 ( 0) 1967 ( 9) 2000 ( 15) %%% 1935 ( 0) 1968 ( 3) 2001 ( 17) %%% 1936 ( 0) 1969 ( 5) 2002 ( 22) %%% 1937 ( 0) 1970 ( 5) 2003 ( 27) %%% 1938 ( 0) 1971 ( 4) 2004 ( 24) %%% 1939 ( 0) 1972 ( 7) 2005 ( 26) %%% 1940 ( 0) 1973 ( 7) 2006 ( 29) %%% 1941 ( 0) 1974 ( 9) 2007 ( 17) %%% 1942 ( 0) 1975 ( 13) 2008 ( 13) %%% 1943 ( 0) 1976 ( 8) 2009 ( 20) %%% 1944 ( 0) 1977 ( 6) 2010 ( 43) %%% 1945 ( 0) 1978 ( 14) 2011 ( 22) %%% 1946 ( 0) 1979 ( 12) 2012 ( 12) %%% 1947 ( 0) 1980 ( 4) 2013 ( 1) %%% 1948 ( 0) 1981 ( 7) %%% 1949 ( 1) 1982 ( 7) %%% %%% Article: 811 %%% Book: 76 %%% InCollection: 71 %%% InProceedings: 34 %%% MastersThesis: 1 %%% Misc: 2 %%% PhdThesis: 1 %%% Proceedings: 26 %%% TechReport: 3 %%% Unpublished: 2 %%% %%% Total entries: 1027 %%% %%% At version 1.00, this bibliography recorded %%% 331 publications by Benoit Mandelbrot, in 125 %%% of which he is the sole author, and 39 of %%% which are books or conference proceedings. %%% His papers appear in 90 different journals, %%% which gives some idea of the breadth of his %%% interests and work. About 240 journals are %%% represented by all of the 1004 recorded %%% entries, from disciplines as diverse as %%% acoustics, cell biology, chemistry, %%% cardiology, chaos theory, computer science, %%% dentistry, economics, engineering, finance, %%% fluid mechanics, geophysics, haemotology, %%% hydrology, image processing, linguistics, %%% logic, mathematics, music, mycology, %%% neuroscience, operations research, %%% ophthalmology, pediatrics, physics, political %%% science, polymer science, probability, %%% psychology, psychiatry, signal processing, %%% social science, statistics, %%% telecommunications, and turbulence. It would %%% be difficult to find another scientist, %%% except perhaps Isaac Newton, whose work has %%% influenced so many fields of study. %%% %%% Beno{\^\i}t Mandelbrot was born on 20 %%% November 1924 in Warsaw, Poland to a Jewish %%% family of Lithuanian origin. Because of the %%% rise of Nazism in Germany and growing %%% antisemitism in Poland, his family fled to %%% France in 1936, living first in Paris, and %%% then in Lyon. Mandelbrot attended the %%% prestigious {\'E}cole Polytechnique in Paris %%% from 1944 to 1947, where he earned the degree %%% of Ing{\'e}nieur dipl{\^o}m{\'e}. He then %%% moved to the California Institute of %%% Technology where he received the degree of %%% Master of Science in Aeronautics in 1948, and %%% Professional Engineer in 1949. He returned %%% to France for further studies, where in 1952, %%% he received a Docteur d'{\'E}tat {\`e}s %%% Sciences Math{\'e}matiques from %%% l'Universit{\'e} de Paris. He was a citizen %%% of both France and the USA. %%% %%% After getting his doctorate, he spent a %%% postdoctoral year (1953--1954) working under %%% John von Neumann at the Institute for %%% Advanced Study in Princeton, NJ, and then %%% returned to France where he married Aliette %%% Kagan, and took up a faculty position in 1957 %%% at Universit{\'e} de Lille. He also worked %%% at the Centre National de la Recherche %%% Scientifique (CNRS) in Paris from 1949 to %%% 1958, under successive titles of Attach{\'e} %%% de Recherches, Charg{\'e} de Recherches, and %%% Ma{\^\i}tre de Recherches. %%% %%% In 1958, Mandelbrot joined the IBM Thomas %%% J. Watson Research Center in Yorktown %%% Heights, NY, and remained there for 35 years, %%% becoming an IBM Fellow in 1974, and after his %%% retirement from IBM in 1993, an IBM Fellow %%% Emeritus. During that time, he added a %%% middle initial, B, for no particular name. %%% One important aspect of his work at IBM was %%% the study of noise in electrical circuits. %%% %%% In 1987, Mandelbrot joined the Department of %%% Mathematics at Yale University in New Haven, %%% CT, as the Abraham Robinson Adjunct Professor %%% of Mathematical Sciences. He obtained tenure %%% (his first) in 1999, at the age of 75, and %%% became the Sterling Professor of Mathematical %%% Sciences. He was also a Fellow of Saybrook %%% College in New Haven from 1988. He retired %%% from Yale in 2005, and became Professor %%% Emeritus. He then became a Battelle Fellow %%% at the Pacific Northwest National Laboratory %%% (Cambridge, MA, branch) where he remained %%% until his death on 14 October 2010, of %%% pancreatic cancer. He is survived by his %%% wife, Aliette, and their two sons, Laurent %%% and Didier, both of whom are scientists. %%% %%% During his long career, Mandelbrot took %%% leaves to work at Groupe Phillips (Paris %%% 1950--1953), Universit{\'e} de Gen{\'e}ve %%% (1955--1957), Harvard University (1962--1964 %%% and 1984--1986), Universit{\'e} de Paris %%% (1966--1967), {\'E}cole Polytechnique (Paris %%% 1995), and Cambridge University (1999). He %%% made numerous shorter visits at universities, %%% in government, and in industry, in Canada, %%% France, Germany, Italy, Norway, Poland, %%% Spain, Sweden, UK, and the USA. %%% %%% Mandelbrot received several honors, including %%% the 1993 Wolf Prize in Physics, the Lewis Fry %%% Richardson Prize of the European Geophysical %%% Society in 2000, the 2003 Japan Prize, the %%% Einstein Lectureship of the American %%% Mathematical Society in 2006, and the French %%% Legion of Honor in 1989 (Chevalier) and 2006 %%% (Officier). Planet Mandelbrot (number 27500, %%% discovered 12 April 2000) is named after him, %%% as is the Benoit Mandelbrot Laboratory for %%% Mathematical and Computational Biology, at %%% Sichuan University in Chengdu, China. %%% %%% There is as yet no definitive ``Collected %%% Works of Benoit Mandelbrot'', but there is an %%% autobiographical memoir: entry %%% Mandelbrot:2009:FMG. Springer-Verlag has %%% published several volumes of a book series %%% entitled ``Selected works of Benoit %%% B. Mandelbrot'' that collect some of his %%% publications. Mandelbrot's collected papers %%% are held jointly by IBM and Yale University %%% (entry Mandelbrot:2012:BMP), but are closed %%% until they have been processed. %%% %%% Web sites about Mandelbrot and his works include: %%% %%% http://en.wikipedia.org/wiki/Beno%C3%AEt_Mandelbrot %%% http://en.wikipedia.org/wiki/How_Long_Is_the_Coast_of_Britain%3F_Statistical_Self-Similarity_and_Fractional_Dimension %%% http://en.wikipedia.org/wiki/Julia_set %%% http://en.wikipedia.org/wiki/Mandelbrot_set %%% http://www.britannica.com/EBchecked/topic/361663/Benoit-Mandelbrot %%% http://www.britannica.com/EBchecked/topic/958557/Mandelbrot-set %%% %%% Benoit Mandelbrot is most famous to the %%% public for fractals, a word that he coined in %%% 1975 to describe peculiar self-similar images %%% of mathematical sets that were first %%% discovered at the beginning of the 20th %%% Century by Pierre Fatou (1917) and Gaston %%% Julia (1918), and even earlier in the late %%% 1800s by Karl Weierstrass, Helge von Koch, %%% Waclaw Sierpinski, and Guiseppe Peano. %%% However, it was Mandelbrot who, together with %%% his colleague Richard Voss at IBM Research, %%% and later with Heinz-Otto Peitgen, Hartmut %%% J{\"u}rgens, Dietmar Saupe, and Peter Richter %%% at the University of Utah, Universitaet Bonn %%% (Germany), and Universitaet Bremen (Germany), %%% discovered the fantastic complexity and %%% detail in visualizations of fractals, from %%% about 1975 to 1980. News of fractal images %%% spread rapidly, and soon people in many %%% different fields were experimenting with %%% them, and writing papers and books about %%% them. %%% %%% The Fatou and Julia sets, and the later %%% Mandelbrot set, are based on the study of %%% simple iterations. The Mandelbrot set is %%% obtained by starting with a small complex %%% number z = x + y i, and a constant complex %%% number c = u + v i, where i is the imaginary %%% unit, sqrt(-1), and then repeating the %%% simple computation %%% %%% z <- z * z + c %%% %%% One of two things happens if the iterations %%% are run long enough: either the number z %%% stays small (of magnitude less than 2, say), %%% or z becomes arbitrarily large (i.e., %%% diverges). To make a visualization of the %%% iterations, create a table of colors, usually %%% of slowly-varying hues across the visible %%% rainbow, and set a limit on the number of %%% iterations (say, 500, or the number of %%% entries in the color table). Starting from a %%% given point (x,y) on the complex plane, count %%% the number of iterations needed to reach %%% either of the limiting cases (stopping if the %%% number of color entries is reached). Paint %%% the pixel at (x,y) the color at the table %%% index where the iteration diverged, but if z %%% did not diverge, paint the pixel black. Then %%% repeat that computation for every pixel on %%% the screen. %%% %%% Before such visualizations were first done, %%% many people would have assumed that the %%% result would be one or more black regions, %%% and one or more colored regions with the %%% boundaries between them of no particular %%% interest. Instead, what was found is that %%% the boundary has astonishing complexity, and %%% that if one zooms in on a region near the %%% boundary between black and color, and repeats %%% the calculation, the boundary complexity %%% remains, and even more surprisingly, the %%% general features of the previous view are %%% still present in the zoomed view: the images %%% are `self-similar', and remain so under %%% repeated magnification as long as sufficient %%% numerical precision is available for the %%% computations. Numerous computer programs %%% have been written to produce such displays, %%% and some desktop computer screensavers can be %%% configured to produce fractal pictures. One %%% popular program in the Unix workstation world %%% is xfractint. Some GNU/Linux distributions %%% offer a half-dozen programs that can generate %%% fractal images. %%% %%% Many fractal computations are what is called %%% `embarrassingly parallel': each pixel is %%% independent of all other pixels, and the %%% iterative computations require few, or no, %%% memory accesses, so if sufficient numbers of %%% processors are available, most of the work %%% can be done in parallel, and entirely inside %%% the CPU, with maximal `megaflop' performance. %%% Hardware can be designed to assist in such %%% jobs: see entry Chu:2011:MSF. Graphics %%% processing units (GPUs) introduced about 2005 %%% may contain several hundred cores, and are %%% well-suited to fractal computations if they %%% support sufficiently high precision for %%% arithmetic (e.g., the IEEE 754 64-bit binary %%% format, with roughly 16 decimal digits). %%% %%% The implications of fractal behavior are %%% many. One important result is that some %%% kinds of numerical computations may be found %%% to behave that way: small changes in initial %%% conditions can produce huge changes in final %%% results, making it questionable whether the %%% computation has any meaning whatever. %%% Weather forecasting is one area where that is %%% particularly true, and it is now evident from %%% our growing understanding of fractals that %%% reliable long-range weather prediction is %%% almost certainly impossible. That is in %%% sharp contrast to the old Newtonian view that %%% predicted deterministic behavior according to %%% Newton's Laws, and fractal behavior still %%% does not require introduction of the concept %%% of quanta and quantum probabilities. %%% %%% While many famous scientists achieve their %%% fame from either a large volume of work in a %%% small field, or else from a significant %%% discovery, Mandelbrot was quite different: he %%% worked in several different fields, and thus, %%% much of his work was usually unfamiliar to %%% those whose areas of interest were much more %%% restricted. As a result, he probably did not %%% receive as much credit as he deserves. %%% Nevertheless, few scientists get to see their %%% work widely displayed on television, the Web, %%% in museum exhibitions, in popular books and %%% magazines, in a musical symphony, and even %%% printed on posters and T-shirts. The %%% Mandelbrot set is now probably recognized by %%% tens of millions of people, most of whom have %%% little understanding of what it means, how it %%% is computed, and why it, and fractals in %%% general, are so significant in the study of %%% random and chaotic phenomena; such people %%% just enjoy the pictures for their visual %%% interest, and their frequent beauty. %%% %%% This bibliographer offers this small personal %%% recollection: %%% %%% One summer day a few years ago, perhaps %%% in June 2004 (see entry %%% Devaney:2006:CDT), I stepped out of my %%% office in one of our Mathematics %%% Department buildings, and was surprised %%% to find Benoit and Aliette Mandelbrot %%% standing near my door, examining the %%% lovely mathematical art work in our %%% building hallways, done by artist Anna %%% Campbell Bliss after completion of my %%% building's renovation in 2000. Although %%% I had never met the Mandelbrots %%% personally before, I recognized Benoit %%% from photographs in several books on my %%% shelves on the subject of fractals. We %%% struck up a conversation, and soon agreed %%% to go to lunch, accompanied by a friend %%% and colleague. My friend and I gave the %%% Mandelbrots a walking tour of part of our %%% campus, and took them to lunch in the %%% small cafe of our Fine Arts Museum. I %%% don't recall the details of our lunchtime %%% chat, but we found the Mandelbrots %%% pleasant companions, and I'm glad that I %%% got to meet a man who, as he described %%% himself, followed a rather jagged %%% fractal-like career path. %%% %%% In the late 1970s and early 1980s, I had %%% some limited interactions with the %%% above-named German visitors to our %%% department, and had connected them with %%% colleagues in the Department of Computer %%% Science (now renamed the School of %%% Computing) with whom they made some of %%% the early visualizations of fractal sets. %%% I had also programmed the computation of %%% several of those sets on my IBM PC XT, %%% initially in the C language, and then %%% rewritten in x86 assembly code to achieve %%% a dramatic speedup that made visual %%% experimentation somewhat practical %%% (minutes, versus hours of computation, %%% usually overnight). I also bought and %%% read several of the early books on %%% fractals and chaos, and developed an %%% awareness of the dangers of unstable %%% fractal behavior in numeric computations. %%% %%% Data for this bibliography have been %%% collected, and merged into BibTeX entries, %%% from numerous sources, including at least %%% these: %%% %%% * the University of Utah Mathematics %%% Department bibliography archives %%% %%% * the TeX User Group bibliography %%% archives %%% %%% * the Karlsruhe Computer Science %%% bibliography archives %%% %%% * the Karlsruhe virtual catalog at %%% http://www.ubka.uni-karlsruhe.de/kvk_en.html %%% %%% * the US Library of Congress catalog at %%% http://catalog.loc.gov/ %%% %%% * the author's cattobib utility, which %%% provides Z39.50 interfaces to many %%% large libraries around the world, at %%% http://www.math.utah.edu/pub/cattobib/ %%% %%% * the European Mathematical Society %%% Zentralblatt fuer Mathematik database %%% at http://zb.msri.org/ZMATH/zmath/en/ %%% %%% * the American Mathematical Society %%% MathSciNet database at %%% http://ams.rice.edu/mathscinet/search.html %%% %%% * the American Institute of Physics %%% Scitation database at %%% http://scitation.aip.org/search_scitation %%% %%% * the American Physical Society PROLA %%% database at %%% http://publish.aps.org/search %%% %%% * the ALSOS Digital Library for Nuclear %%% Issues at Washington and Lee University %%% http://alsos.wlu.edu/ %%% %%% * the Canadian Journal of Physics %%% database at %%% http://www.nrcresearchpress.com/search/advanced %%% %%% * the Europhysics journal archive at %%% http://www.europhysicsnews.org %%% %%% * the Nature journal archive at %%% http://www.nature.com/search/ %%% %%% * the Russian Physics-Uspekhi (Advances %%% in Physical Sciences) journal archive %%% at %%% http://ufn.ru/ru/authors/ %%% %%% * the SAO/NASA Astrophysics Data System at %%% http://adsabs.harvard.edu/ %%% %%% * the Science journal archive at %%% http://www.sciencemag.org/search %%% %%% * the SPIRES high-energy physics %%% literature database at the Stanford %%% Linear Accelerator at Stanford %%% University at %%% http://www.slac.stanford.edu/spires/hep/search/ %%% %%% * the Springer journal database at %%% http://www.springer.com/?SGWID=0-102-13-0-0 %%% %%% * the Wiley journal database at %%% http://onlinelibrary.wiley.com/ %%% %%% * the JSTOR database at %%% http://www.jstor.org/, and %%% %%% * many online library catalogs, including %%% those of the British Library, the %%% Karlsruhe Virtual Library catalog, the %%% Cambridge University Library, the %%% Oxford University Library, the %%% University of California library %%% system, and the US Library of Congress. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\let \k = \relax" # "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" # "\ifx \undefined \cdprime \def \cdprime{$''$} \fi" # "\ifx \undefined \cprime \def \cprime{$'$} \fi" # "\ifx \undefined \cyr \let \cyr = \rm \fi" # "\ifx \undefined \k \let \k = \c \fi" # "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}}\fi" # "\ifx \undefined \mathfrak \let \mathfrak = \mathcal \fi" # "\ifx \undefined \url \input{path.sty} \fi" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} %%% ==================================================================== %%% Journal abbreviations: @String{j-ADV-APPL-MATH = "Advances in Applied Mathematics"} @String{j-ADV-MATH = "Advances in Mathematics"} @String{j-AM-J-PHYSIOL = "American Journal of Physiology"} @String{j-AM-SCI = "American Scientist"} @String{j-AMER-J-PHYSICS = "American Journal of Physics"} @String{j-AMER-J-PSYCHOLOGY = "American Journal of Psychology"} @String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"} @String{j-ANN-APPL-PROBAB = "Annals of applied probability"} @String{j-ANN-MATH = "Annals of Mathematics"} @String{j-ANN-MATH-STAT = "Annals of Mathematical Statistics"} @String{j-ANN-NY-ACAD-SCI = "Annals of the New York Academy of Sciences"} @String{j-ANN-TELECOMMUN = "Annales des T{\'e}l{\'e}communications"} @String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"} @String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions of IMACS"} @String{j-ASTRO-NACHR = "Astronomische Nachrichten"} @String{j-BELL-LABS-TECH-J = "Bell Labs Technical Journal"} @String{j-BERNOULLI = "Bernoulli: official journal of the Bernoulli Society for Mathematical Statistics and Probability"} @String{j-BIOMETRIKA = "Biometrika"} @String{j-BIOPHYS-J = "Biophysical Journal"} @String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"} @String{j-BRITISH-J-HIST-SCI = "British Journal for the History of Science"} @String{j-BULL-AMS = "Bulletin of the American Mathematical Society"} @String{j-BULL-INST-MATH-APPL = "Bulletin of the Institute of Mathematics and its Applications"} @String{j-BYTE = "BYTE Magazine"} @String{j-C-R-ACAD-SCI-PARIS = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris"} @String{j-C-R-ACAD-SCI-PARIS-SER-AB = "Comptes Rendus Hebdomadaires des S{\'e}ances de l'Acad{\'e}mie des Sciences. 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H. {Freeman and Company}"} @String{pub-W-H-FREEMAN:adr = "New York, NY, USA"} @String{pub-WILEY = "Wiley"} @String{pub-WILEY:adr = "New York, NY, USA"} @String{pub-WORLD-SCI = "World Scientific Publishing"} @String{pub-WORLD-SCI:adr = "Singapore; Philadelphia, PA, USA; River Edge, NJ, USA"} %%% ==================================================================== %%% Series abbreviations: @String{ser-LNCS = "Lecture Notes in Computer Science"} @String{ser-LNM = "Lecture Notes in Mathematics"} @String{ser-LNP = "Lecture Notes in Physics"} @String{ser-LNPAM = "Lecture Notes in Pure and Applied Mathematics"} @String{ser-NATO-ASI-C = "NATO ASI series C: Mathematical and physical sciences"} %%% ==================================================================== %%% Part 1 (of 2) --- Publications by Beno{\^\i}t Mandelbrot %%% %%% Entries are sorted by year, and then by citation label: @MastersThesis{Mandelbrot:1949:SPP, author = "Beno{\^\i}t Mandelbrot", title = "Some potential problems arising in the theory of axial turbomachines", type = "{Masters of Science in Aeronautics}", school = "California Institute of Technology", address = "Pasadena, CA, USA", pages = "42", year = "1949", bibdate = "Mon Sep 10 14:42:45 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, advisor = "Frank E. Marble", remark = "Degree awarded in 1948.", } @Article{Mandelbrot:1951:ADMa, author = "Beno{\^\i}t Mandelbrot", title = "Adaptation du message {\`a} la ligne de transmission. {I}. {Quanta} d'information. ({French}) [{Adaptation} of the message to the transmission line. {I}. {Quanta} of information]", journal = j-C-R-ACAD-SCI-PARIS, volume = "232", number = "??", pages = "1638--1640", month = "????", year = "1951", CODEN = "????", ISSN = "????", MRclass = "62.0X", MRnumber = "0040640 (12,727b)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @Article{Mandelbrot:1951:ADMb, author = "Beno{\^\i}t Mandelbrot", title = "Adaptation du message {\`a} la ligne de transmission. {II}. {Interpr{\'e}}tations physiques. ({French}) [{Adaptation} of the message to the transmission line. {II}. {Physical} interpretation]", journal = j-C-R-ACAD-SCI-PARIS, volume = "232", number = "??", pages = "2003--2005", month = "????", year = "1951", CODEN = "????", ISSN = "????", MRclass = "60.0X", MRnumber = "0041383 (12,840e)", MRreviewer = "J. L. Doob", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @PhdThesis{Mandelbrot:1952:CTM, author = "Beno{\^\i}t Mandelbrot", title = "Contribution {\`a} la th{\'e}orie math{\'e}matique des communications. ({French}) [{Contribution} to the mathematical theory of communications]", type = "{Docteur d'{\'E}tat {\`e}s Sciences Math{\'e}matiques}", school = "Facult{\'e} des Sciences de l'Universit{\'e} de Paris", address = "Paris, France", year = "1952", bibdate = "Sat Sep 08 18:55:08 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://genealogy.math.ndsu.nodak.edu/id.php?id=60791", acknowledgement = ack-nhfb, advisor = "Paul Pierre L{\'e}vy", language = "French", } @Article{Mandelbrot:1952:DMF, author = "Beno{\^\i}t Mandelbrot", title = "Les d{\'e}mons de {Maxwell}. ({French}) [{Maxwell}'s demons]", journal = j-C-R-ACAD-SCI-PARIS, volume = "234", number = "??", pages = "1842--1844", month = "????", year = "1952", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 11:39:20 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0046.20009", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", keywords = "{classical thermodynamics, heat transfer}", language = "French", } @Article{Mandelbrot:1952:NGI, author = "Beno{\^\i}t Mandelbrot", title = "Sur la notion g{\'e}n{\'e}rale d'information et la dur{\'e}e intrins{\`e}que d'une strat{\'e}gie. ({French}) [{On} the general notion of information and the intrinsic duration of a strategy]", journal = j-C-R-ACAD-SCI-PARIS, volume = "234", number = "??", pages = "1345--1347", month = "????", year = "1952", CODEN = "????", ISSN = "????", MRclass = "60.0X", MRnumber = "0046608 (13,761e)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @Article{Mandelbrot:1953:CTM, author = "Beno{\^\i}t Mandelbrot", title = "Contribution {\`a} la th{\'e}orie math{\'e}matique des jeux de communication. ({French}) [{Contribution} to the mathematical theory of communication games]", journal = "Publications de {l'Institut de statistique de l'Universit{\'e} de Paris}", volume = "2", number = "1--2", pages = "124", month = "????", year = "1953", CODEN = "????", ISSN = "????", MRclass = "60.0X", MRnumber = "0057495 (15,238i)", MRreviewer = "S. Sherman", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, language = "French", xxpages = "300", } @InProceedings{Mandelbrot:1953:ITS, author = "Beno{\^\i}t B. Mandelbrot", editor = "Willis Jackson", booktitle = "{Communication theory: papers read at a Symposium on ``Applications of Communication Theory'' held at the Institution of Electrical Engineers, London, September 22nd--26th 1952}", title = "An Informational Theory of the Statistical Structure of Languages", publisher = pub-BUTTERWORTHS, address = pub-BUTTERWORTHS:adr, pages = "486--502", year = "1953", LCCN = "Q350 .S92 1952", bibdate = "Wed Nov 16 09:37:30 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://lccn.loc.gov/53004215; http://www.nytimes.com/2010/10/17/us/17mandelbrot.html", acknowledgement = ack-nhfb, bookpages = "xii + 532", remark = "The paper is incorrectly referenced as a book in \cite{Baek:2011:ZLU}. Mandelbrot got his Master of Science in Aeronautics at CalTech in 1948, and his Docteur d'{\'E}tat {\`e}s Sciences Math{\'e}matiques in 1952 in Paris, so perhaps this is a translation of his thesis work.", } @Article{Mandelbrot:1954:CSF, author = "Beno{\^\i}t Mandelbrot", title = "Corrections: Structure formelle des textes et communications [deux {\'e}tudes]. ({French}) [{Corrections}: {Formal} structure of text and communications [two studies]]", journal = "Word", volume = "11", number = "??", pages = "424--??", month = "????", year = "1954", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 17:15:49 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "See \cite{Mandelbrot:1954:SFT}.", acknowledgement = ack-nhfb, language = "French", } @Article{Mandelbrot:1954:SFT, author = "Beno{\^\i}t Mandelbrot", title = "Structure formelle des textes et communications [deux {\'e}tudes]. ({French}) [{Formal} structure of text and communications [two studies]]", journal = "Word", volume = "10", number = "??", pages = "1--27", month = "????", year = "1954", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 17:15:49 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "See corrections \cite{Mandelbrot:1954:CSF}.", acknowledgement = ack-nhfb, language = "French", remark = "Translated into English, Czech, and Italian.", } @Article{Mandelbrot:1954:SGS, author = "Beno{\^\i}t Mandelbrot", title = "Simple games of strategy occurring in communication through natural languages", journal = j-TRANS-IRE-PROF-GROUP-INF-THEORY, volume = "3", number = "3", pages = "124--137", month = "????", year = "1954", CODEN = "????", DOI = "http://dx.doi.org/10.1109/IREPGIT.1954.6373405", ISSN = "2168-2690", bibdate = "Sat Sep 8 11:42:23 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0059.13802", acknowledgement = ack-nhfb, fjournal = "Transaction of the {IRE} Professional Group on Information Theory {PGIT}", keywords = "Biomathematik; Finanzmathematik; Versicherungsmathematik", } @InProceedings{Mandelbrot:1955:RNL, author = "Beno{\^\i}t Mandelbrot", booktitle = "Proceedings of the symposium on information networks. {New York, April, 1954}", title = "On recurrent noise limiting coding", publisher = "Polytechnic Institute of Brooklyn", address = "Brooklyn, NY, USA", pages = "205--221", year = "1955", MRclass = "62.0X", MRnumber = "0071698 (17,170h)", MRreviewer = "E. Reich", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1955:TPC, author = "Beno{\^\i}t Mandelbrot", title = "Th{\'e}orie de la pr{\'e}-correction des erreurs de transmission (th{\'e}or{\`e}me de {A. Feinstein}). ({French}) [{Theory} of the precorrection of transmission errors (theorem of {A. Feinstein})]", journal = j-ANN-TELECOMMUN, volume = "10", number = "??", pages = "122--134", month = "????", year = "1955", CODEN = "ANTEAU", ISSN = "0003-4347 (print), 1958-9395 (electronic)", ISSN-L = "0003-4347", MRclass = "78.0X", MRnumber = "0072033 (17,218d)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/x45p11282n5j9327/fulltext.pdf", acknowledgement = ack-nhfb, fjournal = "Annales des T{\'e}l{\'e}communications", language = "French", } @Article{Mandelbrot:1956:DWY, author = "Beno{\^\i}t Mandelbrot", title = "La distribution de {Willis--Yule}, relative aux nombres d'esp{\`e}ces dans les genres biologiques. ({French}) [{The} {Willis--Yule} distribution, relative to the number of species of biological types]", journal = j-C-R-ACAD-SCI-PARIS, volume = "242", number = "??", pages = "2223--2226", month = "????", year = "1956", CODEN = "????", ISSN = "????", MRclass = "92.0X", MRnumber = "0077863 (17,1106i)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @Article{Mandelbrot:1956:EET, author = "Beno{\^\i}t Mandelbrot", title = "Exhaustivit{\'e} de l'{\'e}nergie totale d'un syst{\`e}me en {\'e}quilibre, pour l'estimation de sa temperature. ({French}) [Exhaustivity of the total energy of a system in equilibrium for the estimation of its temperature]", journal = j-C-R-ACAD-SCI-PARIS, volume = "243", number = "??", pages = "1835--1838", month = "????", year = "1956", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 11:50:12 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0072.21001", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", keywords = "heat transfer; thermodynamics", language = "French", reviewer = "H. K{\"u}mmel", } @InProceedings{Mandelbrot:1956:LTO, author = "Beno{\^\i}t Mandelbrot", editor = "C. Cherry", booktitle = "Information Theory: the Third {London} Symposium", title = "On the language of taxonomy: an outline of a thermo-statistical theory of systems of categories, with {Willis} (natural) structure", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "135--145", year = "1956", LCCN = "????", bibdate = "Mon Sep 10 17:19:09 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1956:PPT, author = "Beno{\^\i}t Mandelbrot", title = "A purely phenomenological theory of statistical thermodynamics: {I}. {Canonical} ensembles", journal = j-IRE-TRANS-INF-THEORY, volume = "2", number = "3", pages = "190--203", month = "????", year = "1956", CODEN = "IRITAY", DOI = "http://dx.doi.org/10.1109/TIT.1956.1056804", ISSN = "0096-1000", bibdate = "Mon Sep 10 17:21:48 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "IRE transactions on information theory", } @Book{Apostel:1957:LLT, author = "Leo Apostel and Beno{\^\i}t B. Mandelbrot and Albert Morf", title = "Logique, langage et th{\'e}orie de l'information", publisher = "Presses Universitaires de France", address = "Paris, France", pages = "207", year = "1957", LCCN = "BC199.E7 A6", bibdate = "Mon Sep 10 13:48:13 MDT 2012", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, xxpages = "173", } @Article{Mandelbrot:1957:ISV, author = "Beno{\^\i}t Mandelbrot", title = "{Der Ingenieur als Stratege: Verhaltenstheorien. (Eine Definition der Kybernetik und ihre Anwendung in der Linguistik)}. ({German}) [{The} engineer as a strategist: behavioral theories. ({A} definition of cybernetics and its application in linguistics)]", journal = "Nachrichtentechnische Fachberichte", volume = "3", number = "??", pages = "32--39", month = "????", year = "1957", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 11:48:00 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0081.14701", acknowledgement = ack-nhfb, keywords = "mathematical biology; operations research", language = "German", } @Book{Mandelbrot:1957:LSM, author = "Beno{\^\i}t B. Mandelbrot", title = "Linguistique statistique macroscopique. Th{\'e}orie math{\'e}matique de la loi de Zipf (bas{\'e}e sur les m{\'e}thodes de la th{\'e}orie de l'information et de la thermodynamique). ({French}) [{Statistical} macroscopic linguistics. {Mathematical} theory of {Zipf's Law} (based on methods from the theory of information and from thermodynamics)]", publisher = "Institut Henri Poincar{\'e}, S{\'e}minaire de calcul des probabilit{\'e}s", address = "Paris, France", pages = "58", year = "1957", LCCN = "????", bibdate = "Sat Sep 8 15:40:34 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; jenson.stanford.edu:2210/unicorn", acknowledgement = ack-nhfb, language = "French", remark = "Summary in English.", subject = "Information theory", } @Article{Mandelbrot:1957:NLB, author = "Beno{\^\i}t Mandelbrot", title = "A note on a law of {Berry} and on insistence stress", journal = j-INF-CONTROL, volume = "1", number = "1", pages = "76--81", month = sep, year = "1957", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(57)90094-3", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995857900943", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1959:EGC, author = "Beno{\^\i}t Mandelbrot", title = "Les ensembles grand-canoniques de {Gibbs}; justification de leur unicit{\'e}, bas{\'e}e sur la divisibilit{\'e} infinie de leur {\'e}nergie al{\'e}atoire. ({French}) [{Gibbs} grand canonical ensembles, based on the infinite divisibility of their random energy]", journal = j-C-R-ACAD-SCI-PARIS, volume = "249", number = "??", pages = "1464--1466", month = "????", year = "1959", CODEN = "????", ISSN = "????", MRclass = "82.00", MRnumber = "0111221 (22 \#2085)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0096.23103", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @Article{Mandelbrot:1959:ISI, author = "Beno{\^\i}t Mandelbrot", title = "Information sans Interpretation dans la Description des Langues {R}{\'e}elles. ({French}) [{Information} without interpretation in the description of real languages]", journal = j-SYNTHESE, volume = "11", number = "2", pages = "160--166", month = jun, year = "1959", CODEN = "????", ISSN = "0039-7857 (print), 1573-0964 (electronic)", ISSN-L = "0039-7857", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/20114289; http://www.springerlink.com/content/r10332532461x0r7/", acknowledgement = ack-nhfb, fjournal = "Synthese", language = "French", } @Article{Mandelbrot:1959:NCS, author = "Beno{\^\i}t Mandelbrot", title = "A note on a class of skew distribution functions: Analysis and critique of a paper by {H. A. Simon}", journal = j-INF-CONTROL, volume = "2", number = "1", pages = "90--99", month = apr, year = "1959", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(59)90098-1", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", MRclass = "94.00", MRnumber = "0120082 (22 \#10839)", MRreviewer = "I. J. Good", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", note = "See \cite {Simon:1955:CSD}.", URL = "http://www.sciencedirect.com/science/article/pii/S0019995859900981", ZMnumber = "Zbl 0101.11303", abstract = "This note is a discussion of H. A. Simon's model (1955) concerning the class of frequency distributions generally associated with the name of G. K. Zipf. The main purpose is to show that Simon's model is analytically circular in the case of the linguistic laws of Estoup--Zipf and Willis--Yule. Insofar as the economic law of Pareto is concerned, Simon has himself noted that his model is a particular case of that of Champernowne; this is correct, with some reservation. A simplified version of Simon's model is included.", acknowledgement = ack-nhfb, fjournal = "Information and Control", remark = "This paper is one of a three-year debate between Beno{\^\i}t Mandelbrot \cite {Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF} and Herbert Simon \cite {Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.", } @Article{Mandelbrot:1959:SML, author = "B. Mandelbrot", title = "Statistical macro-linguistics", journal = j-NUOVO-CIMENTO-10, volume = "13", number = "2 (supplemento)", pages = "518--520", month = "????", year = "1959", CODEN = "NUCIAD", ISSN = "0029-6341 (print), 1827-6121 (electronic)", ISSN-L = "0029-6341", MRclass = "94.00", MRnumber = "0122643 (22 \#13366)", MRreviewer = "H. Kucera", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/xt67n3181h87336t/", acknowledgement = ack-nhfb, fjournal = "Il Nuovo Cimento (10)", } @Article{Mandelbrot:1959:VPSa, author = "Beno{\^\i}t Mandelbrot", title = "Variables et processus stochastiques de {Pareto--L{\'e}vy}, et la r{\'e}partition des revenus. ({French}) [{Pareto--L{\'e}vy} variables and stochastics processes]", journal = j-C-R-ACAD-SCI-PARIS, volume = "249", number = "??", pages = "613--615", month = "????", year = "1959", CODEN = "????", ISSN = "????", MRclass = "60.00 (90.00)", MRnumber = "0121842 (22 \#12572)", MRreviewer = "T. Haavelmo", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @Article{Mandelbrot:1959:VPSb, author = "Beno{\^\i}t Mandelbrot", title = "Variables et processus stochastiques de {Pareto--L{\'e}vy}, et la r{\'e}partition des revenus. ({French}) [{Pareto--L{\'e}vy} variables and stochastics processes, and the repartition of incomes]", journal = j-C-R-ACAD-SCI-PARIS, volume = "249", number = "??", pages = "2153--2155", month = "????", year = "1959", CODEN = "????", ISSN = "????", MRclass = "90.00", MRnumber = "0109739 (22 \#625)", MRreviewer = "T. Haavelmo", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0092.37504", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @Article{Mandelbrot:1960:BRB, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {S. Bochner, \booktitle{Lectures on Fourier Integrals}, (with an Author's Supplement on Monotonic Functions, Stieltjes Integrals and Harmonic Analysis). (Translated from the original 1932 German edition by M. Tenenbaum and H. Pollard) \$5.00. Annals of Mathematics Study No. 421959, Princeton University Press New York, 333 pp., \$5.00}", journal = j-INF-CONTROL, volume = "3", number = "1", pages = "94--95", month = mar, year = "1960", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(60)90332-6", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995860903326", acknowledgement = ack-nhfb, fjournal = "Information and Control", remark = "This paper is one of a three-year debate between Beno{\^\i}t Mandelbrot \cite {Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF} and Herbert Simon \cite {Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.", } @Article{Mandelbrot:1960:BRJa, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {John Chadwick, \booktitle{The Decipherment of Linear B} (1958) Cambridge University Press}", journal = j-INF-CONTROL, volume = "3", number = "1", pages = "95--96", month = mar, year = "1960", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(60)90347-8", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995860903478", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1960:BRJb, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {John G. Kemeny and J. Laurie Snell, \booktitle{Finite Markov Chains} (1960) van Nostrand, New York, viii + 210 pp., \$5.00}", journal = j-INF-CONTROL, volume = "3", number = "2", pages = "205--206", month = jun, year = "1960", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(60)90809-3", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995860908093", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1960:BRM, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {Mark Kac, \booktitle{Statistical Independence in Probability, Analysis and Number Theory} \$3.00, Carus Mathematical Monograph No. 12 (1959), John Wiley, Cambridge, Massachusetts 93 pp.}", journal = j-INF-CONTROL, volume = "3", number = "1", pages = "98--100", month = mar, year = "1960", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(60)90377-6", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S00199958609076", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1960:BRR, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {Robert V. Hogg and Allen B. Craig, \booktitle{Introduction to Mathematical Statistics} (from a series of mathematics texts under the general editorship of C. B. Allendoerfer), x + 245 pp., \$6.75 (1959) Macmillan, New York}", journal = j-INF-CONTROL, volume = "3", number = "2", pages = "207--208", month = jun, year = "1960", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(60)90822-6", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995860908226", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1960:PLL, author = "Beno{\^\i}t Mandelbrot", title = "The {Pareto--L{\'e}vy} law and the distribution of income", journal = j-INT-ECON-REV, volume = "1", number = "2", pages = "79--106", month = may, year = "1960", CODEN = "INERAE", ISSN = "0020-6598 (print), 1468-2354 (electronic)", ISSN-L = "0020-6598", bibdate = "Wed Nov 23 11:07:01 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://www.ingenta.com/journals/browse/bpl/iere; http://www.jstor.org/stable/2525289", ZMnumber = "Zbl 0201.51101", acknowledgement = ack-nhfb, fjournal = "International Economic Review", } @Article{Mandelbrot:1960:PSL, author = "Beno{\^\i}t Mandelbrot", title = "Processus stochastiques {\`a} loi stable positive, permanents, markoviens, stationnaires (non additifs). ({French}) [{Stochastic} processes with positive stable law, permanent, Markov, stationary (non-additive)]", journal = j-C-R-ACAD-SCI-PARIS, volume = "250", number = "??", pages = "451--453", month = "????", year = "1960", CODEN = "????", ISSN = "????", MRclass = "60.00", MRnumber = "0121841 (22 \#12571)", MRreviewer = "H. P. McKean, Jr.", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0092.34601", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @Article{Mandelbrot:1960:TDI, author = "Beno{\^\i}t Mandelbrot", title = "Teoria Della Informazione", journal = j-INF-CONTROL, volume = "3", number = "4", pages = "384--386", month = dec, year = "1960", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(60)91045-7", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995860910457", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Gelernter:1961:BRM, author = "H. L. Gelernter and Beno{\^\i}t Mandelbrot", title = "Book Review: {S. M. Ulam, \booktitle{A Collection of Mathematical Problems}, (Tracts in Pure and Applied Mathematics, Number 8) \$5.00, 1960 Interscience, New York 150}", journal = j-INF-CONTROL, volume = "4", number = "1", pages = "81--82", month = mar, year = "1961", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(61)80040-5", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800405", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1961:BRBa, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {{\booktitle{La Theorie Physique au Sens de Boltzmann}} (Ren{\'e} Dugas)}. ({French}) [{{\booktitle{The Physical Theory According to Boltzmann}} (Ren{\'e} Dugas)}]", journal = j-SIAM-REVIEW, volume = "3", number = "2", pages = "183--184", month = apr, year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/siread/v3/i2/p183/s1; http://www.jstor.org/stable/2027403", acknowledgement = ack-nhfb, fjournal = "SIAM Review", language = "French", } @Article{Mandelbrot:1961:BRBb, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {{\booktitle{Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling}} (Ingram Olkin, Sudhist G. Ghurye, Wassily Hoeffding, William G. Madow, and Henry B. Mann, eds.)}", journal = j-SIAM-REVIEW, volume = "3", number = "1", pages = "80--80", month = jan, year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/siread/v3/i1/p80/s1; http://www.jstor.org/stable/2027260", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1961:BRBc, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {{\booktitle{Mathematical Methods in the Social Sciences, 1959, Proceedings of the First Stanford Symposium}} (Kenneth J. Arrow, Samuel Karlin, and Patrick Suppes, eds.)}", journal = j-SIAM-REVIEW, volume = "3", pages = "80--??", year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/siread/v3/i1/p80/s2", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1961:BRG, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {Gustav Herdan, \booktitle{Type Token Mathematics}, (Janua Linguarum, Series Maior, IV) (+ 110 pp. of indices and tables of functions). 54 Dutch GL, approx. \$14.00. A Textbook of Mathematical Linguistics 1960 Mouton \& Cie, New York and London, iv + 110 pp. of indices and tables of functions}", journal = j-INF-CONTROL, volume = "4", number = "1", pages = "83--85", month = mar, year = "1961", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(61)80041-7", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800417", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1961:BRK, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {A. N.Kolmogoroff and W. M.Tichomirow, \booktitle{Entropy and Capacity of Sets in Function Spaces}. Translated by P. Franken and K. Nawrotzki from the Russian original which appeared in 1960. 80 pp., price unknown. Text in German: {Arbeiten zur Informationstheorie, III Entropid und Kapazit{\"a}t von Mengen in Funktionalra{\"u}men}. Uspekhi Mat. Nauk 14, 1959 Deutscher Verlag der Wissenschaften 386, 1960}", journal = j-INF-CONTROL, volume = "4", number = "2--3", pages = "227--228", month = sep, year = "1961", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(61)80012-0", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800120", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1961:CDH, author = "Beno{\^\i}t Mandelbrot", title = "Comment on Dr. {Herdan}'s letter", journal = j-INF-CONTROL, volume = "4", number = "2--3", pages = "241", month = sep, year = "1961", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(61)80017-X", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S001999586180017X", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1961:FNC, author = "Beno{\^\i}t Mandelbrot", title = "Final note on a class of skew distribution functions: {Analysis} and critique of a model due to {H. A. Simon}", journal = j-INF-CONTROL, volume = "4", number = "2--3", pages = "198--216", month = sep, year = "1961", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(61)80008-9", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", MRclass = "62.97", MRnumber = "0135192 (24 \#B1242)", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800089", ZMnumber = "Zbl 0103.12503", acknowledgement = ack-nhfb, fjournal = "Information and Control", remark = "This paper is one of a three-year debate between Beno{\^\i}t Mandelbrot \cite {Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF} and Herbert Simon \cite {Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.", } @Article{Mandelbrot:1961:IDP, author = "Beno{\^\i}t Mandelbrot", title = "Information and Decision Processes (Robert {E}. Machol, ed.)", journal = j-SIAM-REVIEW, volume = "3", pages = "182--??", year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/siread/v3/i2/p182/s1", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1961:PSF, author = "Beno{\^\i}t Mandelbrot", title = "Post scriptum to {``Final note''}", journal = j-INF-CONTROL, volume = "4", number = "2--3", pages = "300--304", month = sep, year = "1961", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(61)80025-9", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", MRclass = "62.00", MRnumber = "0135194 (24 \#B1244)", bibdate = "Sat Sep 8 16:48:47 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800259", ZMnumber = "Zbl 0103.12602", acknowledgement = ack-nhfb, fjournal = "Information and Control", remark = "This paper is one of a three-year debate between Beno{\^\i}t Mandelbrot \cite {Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF} and Herbert Simon \cite {Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.", } @Article{Mandelbrot:1961:RBD, author = "Beno{\^\i}t Mandelbrot", title = "Review: {{\booktitle{Information and Decision Processes}}. by Robert E. Machol}", journal = j-SIAM-REVIEW, volume = "3", number = "2", pages = "182--183", month = apr, year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2027402", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1961:RBM, author = "Beno{\^\i}t Mandelbrot", title = "Review: {{\booktitle{Mathematical Methods in the Social Sciences, 1959, Proceedings of the First Stanford Symposium}}, by Kenneth J. Arrow, Samuel Karlin, Patrick Suppes}", journal = j-SIAM-REVIEW, volume = "3", number = "1", pages = "80--81", month = jan, year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2027261", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1961:SPR, author = "Beno{\^\i}t Mandelbrot", title = "Stable {Paretian} Random Functions and the Multiplicative Variation of Income", journal = j-ECONOMETRICA, volume = "29", number = "4", pages = "517--543", month = oct, year = "1961", CODEN = "ECMTA7", ISSN = "0012-9682", MRclass = "90.10", MRnumber = "0144782 (26 \#2323)", MRreviewer = "H. Wold", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1911802", ZMnumber = "Zbl 0104.38402", acknowledgement = ack-nhfb, fjournal = "Econometrica", } @InCollection{Mandelbrot:1961:TWF, author = "Beno{\^\i}t Mandelbrot", editor = "R. Jakobson", booktitle = "Structures of language and its mathematical aspects", title = "On the theory of word frequencies and on related {Markovian} models of discourse", publisher = pub-AMS, address = pub-AMS:adr, pages = "120--219", year = "1961", LCCN = "????", bibdate = "Mon Sep 10 17:24:34 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1962:BRB, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {B. V. Gnedenko, \booktitle{The Theory of Probability}, translated by B. D. Seckler, \$8.75, 2nd ed. 1962, Chelsea, New York 459}", journal = j-INF-CONTROL, volume = "5", number = "2", pages = "173", month = jun, year = "1962", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(62)90334-0", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995862903340", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1962:CPS, author = "Beno{\^\i}t Mandelbrot", title = "Sur certains prix sp{\'e}culatifs: faits empiriques et mod{\`e}le bas{\'e} sur les processus stables additifs non gaussiens de {Paul L{\'e}vy}. ({French}) [{On} certain speculative prices: empirical evidence and model-based additive non-{Gaussian} stable processes of {Paul L{\'e}vy}]", journal = j-C-R-ACAD-SCI-PARIS, volume = "254", number = "??", pages = "3968--3970", month = "????", year = "1962", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 11:57:07 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0100.34904", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", keywords = "{applications of probability theory and statistics}", language = "French", } @Article{Mandelbrot:1962:PDI, author = "Beno{\^\i}t Mandelbrot", title = "{Paretian} Distributions and Income Maximization", journal = j-Q-J-ECON, volume = "76", number = "1", pages = "57--85", month = feb, year = "1962", CODEN = "QJECAT", ISSN = "0033-5533 (print), 1531-4650 (electronic)", ISSN-L = "0033-5533", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1891131", acknowledgement = ack-nhfb, fjournal = "The Quarterly Journal of Economics", } @Article{Mandelbrot:1962:RSE, author = "Beno{\^\i}t Mandelbrot", title = "The Role of Sufficiency and of Estimation in Thermodynamics", journal = j-ANN-MATH-STAT, volume = "33", number = "3", pages = "1021--1038", month = sep, year = "1962", CODEN = "AASTAD", ISSN = "0003-4851", MRclass = "82.99", MRnumber = "0143592 (26 \#1145)", MRreviewer = "S. Ono", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2237878", ZMnumber = "Zbl 0111.33705", acknowledgement = ack-nhfb, fjournal = "Annals of Mathematical Statistics", } @TechReport{Mandelbrot:1962:SNR, author = "Beno{\^\i}t Mandelbrot", title = "Statistics of natural resources and the law of {Pareto}", type = "Research Note", number = "NC-146", institution = "IBM", address = "Yorktown Heights, NY, USA", day = "29", month = jun, year = "1962", bibdate = "Mon Sep 10 17:35:59 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1963:BRJ, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {Joseph P. La Salle, Solomon Lefschetz, Editors, \booktitle{Recent Soviet Contributions to Mathematics} (1962) Macmillan, 324 pp.}", journal = j-INF-CONTROL, volume = "6", number = "3", pages = "310--311", month = sep, year = "1963", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(63)90418-2", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995863904182", acknowledgement = ack-nhfb, fjournal = "Information and Control", } @Article{Mandelbrot:1963:NMSa, author = "Beno{\^\i}t Mandelbrot", title = "New Methods in Statistical Economics", journal = "Journal of Political Economy", volume = "71", number = "5", pages = "421--440", month = oct, year = "1963", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Reprinted in \cite{Mandelbrot:1963:NMSb}.", URL = "http://www.jstor.org/stable/1829014", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1963:NMSb, author = "Beno{\^\i}t Mandelbrot", title = "New Methods in Statistical Economics", journal = "Bulletin of the {International Statistical Institute}, {Ottawa} Session", volume = "40", number = "2", pages = "669--720", month = "????", year = "1963", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 17:39:24 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Reprint of \cite{Mandelbrot:1963:NMSa}.", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1963:SPI, author = "Beno{\^\i}t Mandelbrot", title = "The Stable {Paretian} Income Distribution when the Apparent Exponent is Near Two", journal = j-INT-ECON-REV, volume = "4", number = "1", pages = "111--115", month = jan, year = "1963", CODEN = "INERAE", ISSN = "0020-6598 (print), 1468-2354 (electronic)", ISSN-L = "0020-6598", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2525463", acknowledgement = ack-nhfb, fjournal = "International Economic Review", } @Article{Mandelbrot:1963:VCSa, author = "Beno{\^\i}t Mandelbrot", title = "The Variation of Certain Speculative Prices", journal = j-J-BUS-UNIV-CHIC, volume = "36", number = "4", pages = "394--419", month = oct, year = "1963", CODEN = "????", ISSN = "0021-9398 (print), 1537-5374 (electronic)", ISSN-L = "0021-9398", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Reprinted in \cite{Mandelbrot:1963:VCSb}.", URL = "http://www.jstor.org/stable/2350970", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1963:VCSb, author = "Beno{\^\i}t Mandelbrot", editor = "P. H. Cootner", booktitle = "The random character of stock market prices", title = "The Variation of Certain Speculative Prices", publisher = pub-MIT, address = pub-MIT:adr, pages = "297--337", year = "1963", LCCN = "????", bibdate = "Mon Sep 10 17:37:44 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Reprint of \cite{Mandelbrot:1963:VCSa}.", acknowledgement = ack-nhfb, } @Article{Gernstein:1964:RWM, author = "George L. Gernstein and Beno{\^\i}t Mandelbrot", title = "Random Walk Models for the Spike Activity of a Single Neuron", journal = j-BIOPHYS-J, volume = "4", number = "1 (part 1)", pages = "41--68", month = jan, year = "1964", CODEN = "BIOJAU", ISSN = "0006-3495 (print), 1542-0086 (electronic)", ISSN-L = "0006-3495", bibdate = "Sat Sep 8 16:48:47 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0006349564867680", acknowledgement = ack-nhfb, fjournal = "Biophysical Journal", } @Article{Mandelbrot:1964:DST, author = "Beno{\^\i}t Mandelbrot", title = "On the Derivation of Statistical Thermodynamics from Purely Phenomenological Principles", journal = j-J-MATH-PHYS, volume = "5", number = "2", pages = "164--171", month = feb, year = "1964", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.1704105", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "82.62", MRnumber = "0160598 (28 \#3809)", MRreviewer = "F. C. Auluck", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v5/i2/p164_s1; http://link.aip.org/link/jmapaq/v5/i2/p164/s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", onlinedate = "22 December 2004", pagecount = "8", } @Unpublished{Mandelbrot:1964:ECC, author = "Beno{\^\i}t Mandelbrot", title = "The epistemology of chance in certain newer sciences", year = "1964", bibdate = "Mon Sep 10 17:41:26 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Read at The Jerusalem International Congress on Logic, Methodology and the Philosophy of Science", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1964:NMS, author = "B. Mandelbrot", title = "New methods in statistical economics", journal = "Bull. Inst. Int. Stat.", volume = "40", number = "??", pages = "699--721", month = "????", year = "1964", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 12:05:52 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0121.15105", acknowledgement = ack-nhfb, keywords = "operations research", } @Article{Mandelbrot:1964:RWF, author = "Beno{\^\i}t Mandelbrot", title = "Random Walks, Fire Damage Amount and Other {Paretian} Risk Phenomena", journal = j-OPER-RES, volume = "12", number = "4", pages = "582--585", month = aug, year = "1964", CODEN = "OPREAI", ISSN = "0030-364X (print), 1526-5463 (electronic)", ISSN-L = "0030-364X", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/167704", acknowledgement = ack-nhfb, fjournal = "Operations Research", } @TechReport{Mandelbrot:1964:SSR, author = "Beno{\^\i}t Mandelbrot", title = "Self-similar random processes and the range", type = "Research Report", number = "RC-1163", institution = "IBM", address = "Yorktown Heights, NY, USA", day = "13", month = apr, year = "1964", bibdate = "Mon Sep 10 17:42:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Kahane:1965:EMA, author = "Jean-Pierre Kahane and Beno{\^\i}t Mandelbrot", title = "Ensembles de multiplicit{\'e} al{\'e}atoires. ({French}) [{Sets} of random multiplicity]", journal = j-C-R-ACAD-SCI-PARIS, volume = "261", number = "??", pages = "3931--3933", month = "????", year = "1965", CODEN = "????", ISSN = "????", MRclass = "42.99", MRnumber = "0188702 (32 \#6138)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0135.27106", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @Article{Mandelbrot:1965:CPS, author = "Beno{\^\i}t Mandelbrot", title = "Une classe de processus stochastiques homoth{\'e}tiques {\`a} soi; application {\`a} la loi climatologique {H. E. Hurst}. ({French}) [{A} class of stochastic self-homothetic processes]", journal = j-C-R-ACAD-SCI-PARIS, volume = "260", number = "??", pages = "3274--3277", month = "????", year = "1965", CODEN = "????", ISSN = "????", MRclass = "60.69", MRnumber = "0176521 (31 \#793)", MRreviewer = "P. A. P. Moran", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0127.09501", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @InCollection{Mandelbrot:1965:ITP, author = "Beno{\^\i}t Mandelbrot", editor = "B. B. Wolman and E. N. Nagel", booktitle = "Scientific Psychology: Principles and Approaches", title = "Information theory and psycholinguistics", publisher = pub-BASIC-BOOKS, address = pub-BASIC-BOOKS:adr, pages = "550--562", year = "1965", LCCN = "????", bibdate = "Mon Sep 10 17:46:52 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, remark = "Reprinted in \cite{Mandelbrot:1966:ITPa,Mandelbrot:1966:ITPb}", } @Article{Mandelbrot:1965:LSU, author = "Beno{\^\i}t Mandelbrot", title = "{Leo Szilard} and unique decipherability", journal = j-IEEE-TRANS-INF-THEORY, volume = "IT-11", number = "3", pages = "455--456", month = "????", year = "1965", CODEN = "IETTAW", DOI = "http://dx.doi.org/10.1109/TIT.1965.1053782", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", bibdate = "Mon Sep 10 17:44:49 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/authors/s/szilard-leo.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", received = "1 February 1965", } @Article{Mandelbrot:1965:SSE, author = "Beno{\^\i}t Mandelbrot", title = "Self similar error clus ters in communications systems and the concept of conditional stationarity", journal = "IEEE Transactions on Communications Technology", volume = "13", number = "1", pages = "71--90", month = "????", year = "1965", CODEN = "????", DOI = "http://dx.doi.org/10.1109/TCOM.1965.1089090", ISSN = "????", bibdate = "Mon Sep 10 17:43:33 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1966:FFP, author = "Beno{\^\i}t Mandelbrot", title = "Forecasts of Future Prices, Unbiased Markets, and ``Martingale'' Models", journal = j-J-BUS-UNIV-CHIC, volume = "39", number = "1", pages = "242--255", month = jan, year = "1966", CODEN = "????", ISSN = "0021-9398 (print), 1537-5374 (electronic)", ISSN-L = "0021-9398", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2351745", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1966:ITPa, author = "Beno{\^\i}t Mandelbrot", editor = "R. C. Oldfield and J. C. Marshall", booktitle = "Language, Selected Readings", title = "Information theory and psycholinguistics", publisher = pub-PENGUIN-PRESS, address = pub-PENGUIN-PRESS:adr, pages = "??--??", year = "1966", LCCN = "????", bibdate = "Mon Sep 10 17:48:09 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1966:ITPb, author = "Beno{\^\i}t Mandelbrot", editor = "P. Lazarfeld and N. Henry", booktitle = "Readings in Mathematical Social Science", title = "Information theory and psycholinguistics", publisher = "Science Research Associates", address = "Chicago, IL, USA", pages = "??--??", year = "1966", LCCN = "????", bibdate = "Mon Sep 10 17:48:09 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Paperback edition issued in 1968.", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1966:NMV, author = "Beno{\^\i}t Mandelbrot", title = "Nouveaux mod{\'e}les de la variation des prix (Cycles lents et changements instantan{\'e}s). ({French}) [{New} models of price changes (slow cycles and instantaneous changes)]", journal = "Cahiers du S{\'e}minaire d'{\'E}conom{\'e}trie", volume = "??", number = "9", pages = "53--66", month = "????", year = "1966", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/20075411", acknowledgement = ack-nhfb, language = "French", } @InCollection{Mandelbrot:1967:CCD, author = "Beno{\^\i}t Mandelbrot", editor = "J. Martinet", booktitle = "Encyclop{\'e}die de la Pl{\'e}iade: Linguistique", title = "Les constantes chiffr{\'e}es du discours. ({French}) [The constant figures of speech]", publisher = "Gallimard", address = "Paris, France", pages = "46--56", year = "1967", LCCN = "????", bibdate = "Mon Sep 10 17:58:01 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, language = "French", } @Article{Mandelbrot:1967:DSP, author = "Beno{\^\i}t Mandelbrot and Howard M. Taylor", title = "On the Distribution of Stock Price Differences", journal = j-OPER-RES, volume = "15", number = "6", pages = "1057--1062", month = dec, year = "1967", CODEN = "OPREAI", ISSN = "0030-364X (print), 1526-5463 (electronic)", ISSN-L = "0030-364X", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/168611", acknowledgement = ack-nhfb, fjournal = "Operations Research", } @InCollection{Mandelbrot:1967:EDH, author = "Beno{\^\i}t Mandelbrot", editor = "J. Piaget", booktitle = "Encyclop{\'e}die de la Pl{\'e}iade: Logique et Connaissance Scientifique", title = "Sur l'{\'e}pist{\'e}mologie du hasard dans les sciences sociales: invariance des lois et verification des hypotheses", publisher = "Gallimard", address = "Paris, France", pages = "1097--1113", year = "1967", bibdate = "Mon Sep 10 17:55:25 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, language = "French", } @Article{Mandelbrot:1967:HLC, author = "Beno{\^\i}t Mandelbrot", title = "How Long Is the Coast of {Britain}? {Statistical} Self-Similarity and Fractional Dimension", journal = j-SCIENCE, volume = "156", number = "3775", pages = "636--638", day = "5", month = may, year = "1967", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.156.3775.636", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1721427; http://www.sciencemag.org/content/156/3775/636.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Mandelbrot:1967:SNS, author = "B. Mandelbrot", title = "Some noises with $1/f$ spectrum, a bridge between direct current and white noise", journal = j-IEEE-TRANS-INF-THEORY, volume = "13", number = "2", pages = "289--298", month = apr, year = "1967", CODEN = "IETTAW", DOI = "http://dx.doi.org/10.1109/TIT.1967.1053992", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", bibdate = "Sat Sep 8 12:08:50 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0148.40507", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", keywords = "communication; information", } @InCollection{Mandelbrot:1967:SRF, author = "Beno{\^\i}t Mandelbrot", booktitle = "{Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability (Berkeley, California, 1965/66), Vol. III: Physical Sciences}", title = "Sporadic random functions and conditional spectral analysis: {Self-similar} examples and limits", publisher = pub-U-CAL, address = pub-U-CAL:adr, pages = "155--179", year = "1967", MRclass = "62.85", MRnumber = "0224243 (36 \#7287)", MRreviewer = "M. M. Siddiqui", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0189.18302", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1967:ST, author = "Beno{\^\i}t Mandelbrot", title = "Sporadic Turbulence", journal = j-PHYS-FLUIDS, volume = "10", number = "??", pages = "5302--5303", month = "????", year = "1967", CODEN = "PHFLE6", ISSN = "1070-6631", ISSN-L = "1070-6631", bibdate = "Mon Sep 10 17:53:29 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Proceedings: Boundary Layers and Turbulence (Kyoto International Symposium, 1966).", URL = "http://link.aip.org/link/pfldas/v10/i9/pS302/s2", acknowledgement = ack-nhfb, fjournal = "Physics of Fluids", } @Article{Mandelbrot:1967:VSO, author = "Beno{\^\i}t Mandelbrot", title = "The Variation of Some Other Speculative Prices", journal = j-J-BUS-UNIV-CHIC, volume = "40", number = "4", pages = "393--413", month = oct, year = "1967", CODEN = "????", ISSN = "0021-9398 (print), 1537-5374 (electronic)", ISSN-L = "0021-9398", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2351623", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1968:FBM, author = "Beno{\^\i}t B. Mandelbrot and John W. {Van Ness}", title = "Fractional {Brownian} Motions, Fractional Noises and Applications", journal = j-SIAM-REVIEW, volume = "10", number = "4", pages = "422--437", month = oct, year = "1968", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "60.40", MRnumber = "0242239 (39 \#3572)", MRreviewer = "D. R. Brillinger", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/siread/v10/i4/p422/s1; http://www.jstor.org/stable/2027184", ZMnumber = "Zbl 0179.47801", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1968:NJO, author = "Beno{\^\i}t Mandelbrot and J. R. Wallis", title = "{Noah}, {Joseph} and operational hydrology.", journal = j-WATER-RESOUR-RES, volume = "4", number = "??", pages = "909--918", month = "????", year = "1968", CODEN = "WRERAQ", ISSN = "0043-1397 (print), 1944-7973 (electronic)", ISSN-L = "0043-1397", bibdate = "Mon Sep 10 18:32:21 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Water Resources Research", } @Article{Mandelbrot:1968:SAR, author = "Beno{\^\i}t Mandelbrot", title = "Some Aspects of the Random walk Model of Stock Market Prices: Comment", journal = j-INT-ECON-REV, volume = "9", number = "2", pages = "258--259", month = jun, year = "1968", CODEN = "INERAE", ISSN = "0020-6598 (print), 1468-2354 (electronic)", ISSN-L = "0020-6598", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2525479", acknowledgement = ack-nhfb, fjournal = "International Economic Review", } @Article{Mandelbrot:1969:CEF, author = "Beno{\^\i}t Mandelbrot and J. R. Wallis", title = "Computer experiments with fractional {Gaussian} noises", journal = j-WATER-RESOUR-RES, volume = "5", number = "??", pages = "228--??", month = "????", year = "1969", CODEN = "WRERAQ", ISSN = "0043-1397 (print), 1944-7973 (electronic)", ISSN-L = "0043-1397", bibdate = "Mon Sep 10 18:33:31 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Water Resources Research", } @Article{Mandelbrot:1969:LRL, author = "Beno{\^\i}t Mandelbrot", title = "Long-run linearity, locally {Gaussian} process, {$H$}-spectra and infinite variances", journal = j-INT-ECON-REV, volume = "10", number = "1", pages = "82--111", month = feb, year = "1969", CODEN = "INERAE", DOI = "http://dx.doi.org/10.2307/2525574", ISSN = "0020-6598 (print), 1468-2354 (electronic)", ISSN-L = "0020-6598", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2525574", ZMnumber = "Zbl 0191.51002", acknowledgement = ack-nhfb, fjournal = "International Economic Review", keywords = "operations research", } @Article{Mandelbrot:1969:RRR, author = "Beno{\^\i}t Mandelbrot and J. R. Wallis", title = "Robustness of the rescaled range {$R / S$} in the measurement of noncyclic long run statistical dependence", journal = j-WATER-RESOUR-RES, volume = "5", number = "??", pages = "967--988", month = "????", year = "1969", CODEN = "WRERAQ", ISSN = "0043-1397 (print), 1944-7973 (electronic)", ISSN-L = "0043-1397", bibdate = "Mon Sep 10 18:34:56 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Water Resources Research", } @Article{Mandelbrot:1969:SLR, author = "B. B. Mandelbrot and J. R. Wallis", title = "Some long-run properties of geophysical records", journal = j-WATER-RESOUR-RES, volume = "5", number = "??", pages = "321--340", month = "????", year = "1969", CODEN = "WRERAQ", ISSN = "0043-1397 (print), 1944-7973 (electronic)", ISSN-L = "0043-1397", bibdate = "Mon Sep 10 16:47:18 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Water Resources Research", } @InCollection{Mandelbrot:1970:NTD, author = "Beno{\^\i}t Mandelbrot", editor = "E. B. Stuart and others", booktitle = "Critical Review of Thermodynamics", title = "On negative temperature for discourse. {Discussion} of a paper by {Prof. N. F. Ramsey}", publisher = "Mono Book", address = "Baltimore, MD, USA", pages = "230--232", year = "1970", LCCN = "????", bibdate = "Mon Sep 10 18:01:26 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @InProceedings{Mandelbrot:1970:SDP, author = "Beno{\^\i}t Mandelbrot", editor = "????", booktitle = "{Papers of the Second World Congress of the Econometric Society, Cambridge, England (8--14 Sept. 1970)}", title = "Statistical dependence in prices and interest rates", publisher = "Econometric Society", address = "Cambridge, UK", pages = "??--??", year = "1970", LCCN = "????", bibdate = "Mon Sep 10 18:03:00 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Proceedings published in \booktitle{Econometrica} {\bf 39}(4) 1--266 (1970).", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1970:SPM, author = "Beno{\^\i}t B. Mandelbrot and Keith McCamy", title = "On the Secular Pole Motion and the {Chandler} Wobble", journal = j-GEOPHYS-J-R-ASTRON-SOC, volume = "21", number = "2", pages = "217--232", month = nov, year = "1970", CODEN = "GEOJAN", DOI = "http://dx.doi.org/10.1111/j.1365-246X.1970.tb01777.x", ISSN = "0956-540X (print), 1365-246X (electronic)", ISSN-L = "0956-540X", bibdate = "Mon Sep 10 18:29:08 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Geophysical Journal of the {Royal Astronomical Society}", onlinedate = "2 Apr 2007", } @Unpublished{Mandelbrot:1970:SSS, author = "Beno{\^\i}t Mandelbrot", title = "Statistical Self Similarity and Very Erratic Chance Fluctuations", year = "1970", bibdate = "Mon Sep 10 18:04:10 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Trumbull Lectures, Yale University.", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1971:FFG, author = "Beno{\^\i}t Mandelbrot", title = "A fast fractional {Gaussian} noise generator", journal = j-WATER-RESOUR-RES, volume = "7", number = "??", pages = "543--553", month = "????", year = "1971", CODEN = "WRERAQ", ISSN = "0043-1397 (print), 1944-7973 (electronic)", ISSN-L = "0043-1397", bibdate = "Mon Sep 10 18:05:14 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Water Resources Research", } @Article{Mandelbrot:1971:LRN, author = "Beno{\^\i}t Mandelbrot", title = "Linear Regression With Non-Normal Error Terms: a Comment", journal = j-REV-ECON-STAT, volume = "53", number = "2", pages = "205--206", month = may, year = "1971", CODEN = "RECSA9", ISSN = "0034-6535 (print), 1530-9142 (electronic)", ISSN-L = "0034-6535", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1925721", acknowledgement = ack-nhfb, fjournal = "Review of Economics and Statistics", } @Article{Mandelbrot:1971:WCP, author = "Beno{\^\i}t B. Mandelbrot", title = "When Can Price be Arbitraged Efficiently? {A} Limit to the Validity of the Random Walk and Martingale Models", journal = j-REV-ECON-STAT, volume = "53", number = "3", pages = "225--236", month = aug, year = "1971", CODEN = "RECSA9", ISSN = "0034-6535 (print), 1530-9142 (electronic)", ISSN-L = "0034-6535", MRclass = "90A99 (60G45)", MRnumber = "0378737 (51 \#14903)", MRreviewer = "Bradford R. Crain", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1937966", acknowledgement = ack-nhfb, ajournal = "Rev. Econom. Statist.", fjournal = "Review of Economics and Statistics", } @Article{Mandelbrot:1972:BLP, author = "Beno{\^\i}t Mandelbrot", title = "Broken line process derived as an approximation to fractional noise", journal = j-WATER-RESOUR-RES, volume = "8", number = "??", pages = "1354--1356", month = "????", year = "1972", CODEN = "WRERAQ", ISSN = "0043-1397 (print), 1944-7973 (electronic)", ISSN-L = "0043-1397", bibdate = "Mon Sep 10 18:09:02 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Water Resources Research", } @Article{Mandelbrot:1972:CEV, author = "Beno{\^\i}t B. Mandelbrot", title = "Correction of an Error in ``The Variation of Certain Speculative Prices'' (1963)", journal = j-J-BUS-UNIV-CHIC, volume = "45", number = "4", pages = "542--543", month = oct, year = "1972", CODEN = "????", ISSN = "0021-9398 (print), 1537-5374 (electronic)", ISSN-L = "0021-9398", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2351576", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1972:DCC, author = "Beno{\^\i}t B. Mandelbrot", title = "On {Dvoretzky} coverings for the circle", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "22", number = "2", pages = "158--160", month = "????", year = "1972", CODEN = "PTRFEU", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", MRclass = "60D05", MRnumber = "0309163 (46 \#8273)", MRreviewer = "M. M. Siddiqui", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/p28633472n176w2t/", ZMnumber = "Zbl 0222.60044", acknowledgement = ack-nhfb, fjournal = "Probability theory and related fields", xxjournal = "Z. Wahrscheinlichkeitstheorie und Verw. Gebiete", } @Article{Mandelbrot:1972:HSM, author = "A. K. Mandelbrot and K. Erb", title = "Host Spectrum of the Mycoparasite Dimargaris verticillata", journal = "Mycologia", volume = "64", number = "5", pages = "1124--1129", month = oct, year = "1972", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/3758077", acknowledgement = ack-nhfb, } @InProceedings{Mandelbrot:1972:PRL, author = "Beno{\^\i}t B. Mandelbrot", editor = "Murray Rosenblatt and Chester Murray {Van Atta}", booktitle = "Statistical Models and Turbulence. {Proceedings of a symposium held at the University of California, San Diego (La Jolla), July 15--21, 1971}", title = "Possible refinement of the lognormal hypothesis concerning the distribution of energy dissipation in intermittent turbulence", volume = "12", publisher = pub-SV, address = pub-SV:adr, pages = "333--351", year = "1972", ISBN = "0-387-05716-1 (New York), 3-387-05716-4 (Berlin)", ISBN-13 = "978-0-387-05716-3 (New York), 978-3-387-05716-4 (Berlin)", ISSN = "0075-8450 (print), 1616-6361 (electronic)", ISSN-L = "0075-8450", LCCN = "QC1 L47 no. 12", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-LNP, URL = "http://www.springerlink.com/content/y0q6173605g21v8j/", ZMnumber = "Zbl 0227.76081", acknowledgement = ack-nhfb, classmath = "76F05 (Isotropic turbulence; homogeneous turbulence)", } @Article{Mandelbrot:1972:RSR, author = "Beno{\^\i}t B. Mandelbrot", title = "Renewal sets and random cutouts", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "22", number = "2", pages = "145--157", month = "????", year = "1972", CODEN = "PTRFEU", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", MRclass = "60D05", MRnumber = "0309162 (46 \#8272)", MRreviewer = "M. M. Siddiqui", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/w3423987566u0872/", ZMnumber = "Zbl 0234.60102", acknowledgement = ack-nhfb, fjournal = "Probability theory and related fields", xxjournal = "Z. Wahrscheinlichkeitstheorie und Verw. Gebiete", } @Article{Mandelbrot:1972:SMN, author = "Beno{\^\i}t Mandelbrot", title = "Statistical methodology for nonperiodic cycles: from the covariance to the {$R / S$} analysis", journal = "Annals of Economic and Social Measurement", volume = "1", number = "??", pages = "259--290", month = "????", year = "1972", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 18:08:01 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Damerau:1973:TDW, author = "F. J. Damerau and Beno{\^\i}t Mandelbrot", title = "Tests of the degree of word clustering in samples of written {English}", journal = "Linguistics", volume = "102", number = "??", pages = "58--75", month = "????", year = "1973", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 18:39:34 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1973:CSS, author = "Beno{\^\i}t B. Mandelbrot", title = "Comments on: {``A subordinated stochastic process model with finite variance for speculative prices'' (Econometrica {\bf 41} (1973), no. 1, 135--155), by Peter K. Clark}", journal = j-ECONOMETRICA, volume = "41", number = "1", pages = "157--159", month = jan, year = "1973", CODEN = "ECMTA7", DOI = "http://dx.doi.org/10.2307/1913890", ISSN = "0012-9682", MRclass = "62P20 (90A15)", MRnumber = "0415945 (54 \#4022b)", MRreviewer = "P. C. B. Phillips", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1913890", ZMnumber = "Zbl 0308.90012", acknowledgement = ack-nhfb, classmath = "91B84 (Economic time series analysis) 62P20 (Applications of statistics to economics) 60K10 (Applications of renewal theory) 62M10 (Time series, auto-correlation, regression, etc. (statistics))", fjournal = "Econometrica", xxpages = "157--160", } @Article{Mandelbrot:1973:FND, author = "Beno{\^\i}t Mandelbrot", title = "Formes nouvelles du hasard dans les sciences. ({French}) [{New} forms of chance in the sciences]", journal = "{\'E}conomie Appliqu{\'e}e", volume = "26", number = "??", pages = "307--319", month = "????", year = "1973", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 18:10:30 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, language = "French", } @Article{Mandelbrot:1973:PRC, author = "Beno{\^\i}t Mandelbrot", title = "Le probl{\`e}me de la r{\'e}alit{\'e} des cycles lents, et le syndrome de {Joseph}. ({French}) [{The} problem of the reality of slow cycles, and the {Joseph} syndrome]", journal = "{\'E}conomie Appliqu{\'e}e", volume = "26", number = "??", pages = "349--365", month = "????", year = "1973", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 18:11:38 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1973:SVI, author = "Beno{\^\i}t Mandelbrot", title = "Le syndrome de la variance infinie, et ses rapports avec la discontinuit{\'e} des prix. ({French}) [{The} syndrome of infinite variance, and its relationship with price gaps]", journal = "{\'E}conomie Appliqu{\'e}e", volume = "26", number = "??", pages = "321--348", month = "????", year = "1973", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 18:13:14 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, language = "French", } @Book{Apostel:1974:LLT, author = "Leo Apostel and Beno{\^\i}t B. Mandelbrot and Albert Morf", title = "Logique, langage et th{\'e}orie de l'information", publisher = "Kraus reprint", address = "Nendeln, Liechtenstein", pages = "vi + 207", year = "1974", LCCN = "????", bibdate = "Mon Sep 10 13:48:13 MDT 2012", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1974:ITS, author = "Beno{\^\i}t B. Mandelbrot", title = "Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier", journal = j-J-FLUID-MECH, volume = "62", number = "??", pages = "331--358", month = "????", year = "1974", CODEN = "JFLSA7", DOI = "http://dx.doi.org/10.1017/S0022112074000711", ISSN = "0022-1120 (print), 1469-7645 (electronic)", ISSN-L = "0022-1120", bibdate = "Sat Sep 8 12:12:43 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0289.76031", acknowledgement = ack-nhfb, classmath = "76F05 (Isotropic turbulence; homogeneous turbulence)", fjournal = "Journal of Fluid Mechanics", } @Article{Mandelbrot:1974:MAIa, author = "Beno{\^\i}t Mandelbrot", title = "Multiplications al{\'e}atoires it{\'e}r{\'e}es et distributions invariantes par moyenne pond{\'e}r{\'e}e al{\'e}atoire. ({French}) [{Random} iterated multiplications and invariant distributions by random weighted mean]", journal = "C. R. Acad. Sci. Paris S{\'e}r. A", volume = "278", number = "??", pages = "289--292", month = "????", year = "1974", CODEN = "????", ISSN = "????", MRclass = "60F15 (60G45 76.60)", MRnumber = "0431351 (55 \#4352a)", MRreviewer = "W. L. Steiger", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, language = "French", } @Article{Mandelbrot:1974:MAIb, author = "Beno{\^\i}t Mandelbrot", title = "Multiplications al{\'e}atoires it{\'e}r{\'e}es et distributions invariantes par moyenne pond{\'e}r{\'e}e al{\'e}atoire: quelques extensions. ({French}) [{Random} iterated multiplications and invariant distributions by random weighted mean: some extensions]", journal = "C. R. Acad. Sci. Paris S{\'e}r. A", volume = "278", number = "??", pages = "355--358", month = "????", year = "1974", CODEN = "????", ISSN = "????", MRclass = "60F15 (60G45 76.60)", MRnumber = "0431352 (55 \#4352b)", MRreviewer = "W. L. Steiger", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0276.60097", acknowledgement = ack-nhfb, language = "French", } @Article{Mandelbrot:1974:PBM, author = "Beno{\^\i}t Mandelbrot", title = "A population birth-and-mutation process. {I}. {Explicit} distributions for the number of mutants in an old culture of bacteria", journal = j-J-APPL-PROBAB, volume = "11", number = "3", pages = "437--444", month = sep, year = "1974", CODEN = "JPRBAM", ISSN = "0021-9002 (print), 1475-6072 (electronic)", ISSN-L = "0021-9002", MRclass = "60J70 (92A10)", MRnumber = "0359035 (50 \#11490)", MRreviewer = "Byron J. T. Morgan", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/3212688", ZMnumber = "Zbl 0287.60093", acknowledgement = ack-nhfb, fjournal = "Journal of Applied Probability", } @Article{Mandelbrot:1974:RBP, author = "Beno{\^\i}t B. Mandelbrot", title = "Review: {{\booktitle{Random Processes: Multiplicity Theory and Canonical Decomposition}} by Anthony Ephremides, John B. Thomas}", journal = j-AM-SCI, volume = "62", number = "6", pages = "745--746", month = nov, year = "1974", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27845245", acknowledgement = ack-nhfb, fjournal = "American Scientist", } @InCollection{Mandelbrot:1975:CCP, author = "Beno{\^\i}t Mandelbrot", title = "The conditional cosmographic principle and the fractional dimension of the universe", crossref = "Mandelbrot:1975:OFF", pages = "??--??", year = "1975", bibdate = "Mon Sep 10 18:06:41 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1975:CLT, author = "Beno{\^\i}t B. Mandelbrot", title = "Corrigendum: {``Limit theorems on the self-normalized range for weakly and strongly dependent processes'' ({Z. Wahrscheinlichkeitstheorie Verw. Gebiete} {\bf 31} (1974\slash 75), 271--285)}", journal = j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB, volume = "33", number = "3", pages = "220", month = "????", year = "1975/76", CODEN = "ZWVGAA", ISSN = "0044-3719", MRclass = "60F05", MRnumber = "0423482 (54 \#11459b)", MRreviewer = "G. K. Eagleson", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "See \cite{Mandelbrot:1975:LTSa}.", acknowledgement = ack-nhfb, fjournal = "{Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und verwandte Gebiete}", } @Article{Mandelbrot:1975:FAP, author = "Beno{\^\i}t Mandelbrot", title = "Fonctions al{\'e}atoires pluri-temporelles: approximation poissonienne du cas brownien et g{\'e}n{\'e}ralisations. ({French}) [{Random} multi-temporal functions: {Poisson} approximation of the {Brownian} case and generalizations]", journal = j-C-R-ACAD-SCI-PARIS-SER-AB, volume = "280", number = "??", pages = "A1075--A1078", month = "????", year = "1975", CODEN = "CHASAP", ISSN = "0151-0509", MRclass = "60J65", MRnumber = "0388559 (52 \#9395)", MRreviewer = "S. J. Taylor", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0341.60008", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}ries A et B", language = "French", } @Article{Mandelbrot:1975:GHT, author = "Beno{\^\i}t B. Mandelbrot", title = "On the geometry of homogeneous turbulence, with stress on the fractal dimension of the iso-surfaces of scalars", journal = j-J-FLUID-MECH, volume = "72", number = "??", pages = "401--416", month = "????", year = "1975", CODEN = "JFLSA7", DOI = "http://dx.doi.org/10.1017/S0022112075003047", ISSN = "0022-1120 (print), 1469-7645 (electronic)", ISSN-L = "0022-1120", bibdate = "Sat Sep 8 12:12:43 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0329.76047", acknowledgement = ack-nhfb, classmath = "76F05 (Isotropic turbulence; homogeneous turbulence)", fjournal = "Journal of Fluid Mechanics", } @Article{Mandelbrot:1975:IQC, author = "Beno{\^\i}t Mandelbrot", title = "Hasards et tourbillons: quatre contes {\`a} clef. ({French}) [{Chance} and turbulence: four stories in key]", journal = "Annales des Mines", volume = "??", number = "??", pages = "61--66", month = nov, year = "1975", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 18:16:40 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, language = "French", } @Article{Mandelbrot:1975:LTSa, author = "Beno{\^\i}t B. Mandelbrot", title = "Limit theorems on the self-normalized range for weakly and strongly dependent processes", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "31", number = "4", pages = "271--285", month = "????", year = "1975", CODEN = "PTRFEU", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", MRclass = "60F05", MRnumber = "0423481 (54 \#11459a)", MRreviewer = "G. K. Eagleson", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "See corrigendum \cite{Mandelbrot:1975:CLT}.", URL = "http://www.springerlink.com/content/q44817vq055l485k/", ZMnumber = "Zbl 0288.60033", acknowledgement = ack-nhfb, fjournal = "Probability theory and related fields", xxjournal = "Z. Wahrscheinlichkeitstheorie und Verw. Gebiete", } @Article{Mandelbrot:1975:LTSb, author = "Beno{\^\i}t B. Mandelbrot", title = "Limit Theorem on the Self-Normalized Range for Weakly and Strongly Dependent Process", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "33", number = "3", pages = "220--220", month = "????", year = "1975", CODEN = "PTRFEU", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/v02m563154740307/", acknowledgement = ack-nhfb, fjournal = "Probability theory and related fields", } @Article{Mandelbrot:1975:MDU, author = "Beno{\^\i}t Mandelbrot", title = "Sur un mod{\`e}le d{\'e}composable d'univers hi{\'e}rarchis{\'e}: d{\'e}duction des corr{\'e}lations galactiques sur la sph{\`e}re c{\'e}leste. ({French}) [{A} decomposable model of a hierarchical universe: deduction of galactic correlations on the celestial sphere]", journal = j-C-R-ACAD-SCI-PARIS-SER-AB, volume = "280", number = "22", pages = "Aiii, A1551--A1554", month = "????", year = "1975", CODEN = "CHASAP", ISSN = "0151-0509", MRclass = "85.62", MRnumber = "0373553 (51 \#9753)", MRreviewer = "D. ter Haar", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}ries A et B", language = "French", } @Article{Mandelbrot:1975:SME, author = "Beno{\^\i}t B. Mandelbrot", title = "Stochastic models for the {Earth}'s relief, the shape and the fractal dimension of the coastlines, and the number-area rule for islands", journal = j-PROC-NATL-ACAD-SCI-USA, volume = "72", number = "10", pages = "3825--3828", month = oct, year = "1975", CODEN = "PNASA6", ISSN = "0027-8424 (print), 1091-6490 (electronic)", ISSN-L = "0027-8424", MRclass = "86.62", MRnumber = "0408752 (53 \#12515)", MRreviewer = "Francois Ronday", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/65184", acknowledgement = ack-nhfb, fjournal = "Proceedings of the National Academy of Sciences of the United States of America", } @Article{Mandelbrot:1976:GFT, author = "Beno{\^\i}t Mandelbrot", title = "{G{\'e}om{\'e}trie} fractale de la turbulence. {Dimension} de {Hausdorff}, dispersion et nature des singularit{\'e}s du mouvement des fluides. ({French}) [{Fractal} geometry of turbulence. {Hausdorff} dimension, dispersion, and nature of the singularities in fluid motion]", journal = j-C-R-ACAD-SCI-PARIS-SER-AB, volume = "282", number = "2", pages = "Aii, A119--A120", month = "????", year = "1976", CODEN = "CHASAP", ISSN = "0151-0509", MRclass = "76.28", MRnumber = "0391688 (52 \#12508)", MRreviewer = "S. J. Taylor", bibdate = "Sat Sep 8 12:12:43 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0372.76044", acknowledgement = ack-nhfb, classmath = "76F05 (Isotropic turbulence; homogeneous turbulence) 60G99 (Stochastic processes) 28A75 (Length, area, volume, other geometric measure theory)", fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}ries A et B", language = "French", } @InProceedings{Mandelbrot:1976:ITF, author = "Beno{\^\i}t Mandelbrot", booktitle = "{Turbulence and Navier--Stokes equations (Proceedings of a Conference, Universit{\'e} Paris-Sud, Orsay, 1975)}", title = "Intermittent turbulence and fractal dimension: kurtosis and the spectral exponent {$5/3 + B$}", volume = "34(5--6)", publisher = pub-SV, address = pub-SV:adr, pages = "121--145", month = "????", year = "1976", CODEN = "????", ISSN = "????", MRclass = "76.60 (58F10)", MRnumber = "0495674 (58 \#14335)", MRreviewer = "William C. Meecham", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-LNM, URL = "http://www.springerlink.com/content/x8051gr03w584n68/", ZMnumber = "Zbl 0372.76043", acknowledgement = ack-nhfb, xxvolume = "565", } @Article{Mandelbrot:1976:NDS, author = "Beno{\^\i}t Mandelbrot", title = "Note on the definition and the stationarity of fractional {Gaussian} noise", journal = "Journal of Hydrology", volume = "30", number = "4", pages = "407--409", month = aug, year = "1976", CODEN = "????", DOI = "http://dx.doi.org/10.1016/0022-1694(76)90122-0", ISSN = "????", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/0022169476901220", acknowledgement = ack-nhfb, } @Article{Cairns:1977:E, author = "Stewart S. Cairns and Beno{\^\i}t B. Mandelbrot and I. Barsotti and Andrew Lenard", title = "Editorial", journal = j-MATH-INTEL, volume = "1", number = "3", pages = "125--126", month = sep, year = "1977", CODEN = "MAINDC", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/n1205964h8854601/", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", } @Book{Mandelbrot:1977:FFC, author = "Beno{\^\i}t B. Mandelbrot", title = "Fractals: form, chance, and dimension", publisher = pub-W-H-FREEMAN, address = pub-W-H-FREEMAN:adr, edition = "Revised", pages = "xvi + 365", year = "1977", ISBN = "0-7167-0473-0, 0-7167-0474-9 (paperback)", ISBN-13 = "978-0-7167-0473-7, 978-0-7167-0474-4 (paperback)", LCCN = "QA447 .M3613 1977a", MRclass = "69.00 (92A05)", MRnumber = "0471493 (57 \#11224)", MRreviewer = "Leon Glass", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Translated from the French", ZMnumber = "Zbl 0376.28020", acknowledgement = ack-nhfb, tableofcontents = "I. Introduction \\ II. How long is the coast of Britain? \\ III. Uses of nonconstrained chance \\ IV. Fractal events and noises \\ V. Fractal clusters of stellar matter \\ VI. Turbulence, intermittency and curdling \\ VII. Meteorites, moon craters and soap \\ VIII. Uses of self constrained chance \\ IX. Fractional Brownian facets of rivers, relief and turbulence \\ X. Miscellany \\ XI. Biographical and historical sketches \\ XII. Mathematical lexicon and addenda", } @InCollection{Mandelbrot:1977:FTA, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "{Turbulence Seminar (University of California, Berkeley, California, 1976/1977)}", title = "Fractals and turbulence: attractors and dispersion", volume = "615", publisher = pub-SV, address = pub-SV:adr, pages = "83--93", year = "1977", MRclass = "76.60 (58F10)", MRnumber = "0495675 (58 \#14336)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-LNM, ZMnumber = "Zbl 0359.76050", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1977:LVF, author = "Beno{\^\i}t B. Mandelbrot", title = "Lecture {V} Fractals and turbulence: Attractors and dispersion", journal = "Turbulence Seminar", volume = "131", number = "1--2", pages = "83--93", month = "????", year = "1977", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/w7lk031338u81534/", acknowledgement = ack-nhfb, xxvolume = "615", } @Article{Mandelbrot:1977:POF, author = "Beno{\^\i}t B. Mandelbrot", title = "Physical objects with fractional dimension: seacoasts, galaxy clusters, turbulence and soap", journal = j-BULL-INST-MATH-APPL, volume = "13", number = "7-8", pages = "189--196", month = "????", year = "1977", CODEN = "IMTABW", ISSN = "0950-5628", MRclass = "69.00", MRnumber = "0664463 (58 \#32157)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Bulletin of the Institute of Mathematics and its Applications", } @Article{Mandelbrot:1978:CAA, author = "Beno{\^\i}t Mandelbrot", title = "Colliers al{\'e}atoires et une alternative aux promenades au hasard sans boucle: les cordonnets discrets et fractals. ({French}) [{Necklaces} and an alternative to loop-free random walks: discrete fractal cords]", journal = j-C-R-ACAD-SCI-PARIS-SER-AB, volume = "286", number = "20", pages = "A933--A936", month = "????", year = "1978", CODEN = "CHASAP", ISSN = "0151-0509", MRclass = "60K99 (52A22 60D05 60J15)", MRnumber = "498875 (80c:60118)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0386.60049", acknowledgement = ack-nhfb, classmath = "60G50 (Sums of independent random variables; random walks) 60B99 (Probability theory on general structures)", fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}ries A et B", language = "French", } @InCollection{Mandelbrot:1978:FGT, author = "Beno{\^\i}t Mandelbrot", editor = "B. Miles and J. Serra", booktitle = "{Buffon} Bicentenary Symposium on Geometrical Probability", title = "The fractal geometry of trees and other natu ral phenomena", volume = "23", publisher = pub-SV, address = pub-SV:adr, pages = "235--249", year = "1978", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Mon Sep 10 18:22:27 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Lecture Notes in Biomathematics", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1978:GFS, author = "B. B. Mandelbrot", editor = "D. Cabib and others", booktitle = "Statistical physics---``{STATPHYS} 13'' ({Proc}. {Thirteenth IUPAP Conf}. {Statist}. {Phys}., {Technion---Israel Inst}. {Tech}., {Haifa}, 1977), {Part} 1", title = "Geometric facets of statistical physics: scaling and fractals", volume = "2", publisher = pub-ADAM-HILGER, address = pub-ADAM-HILGER:adr, pages = "225--233", year = "1978", MRclass = "82-02", MRnumber = "513011 (80a:82001)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Ann. Israel Phys. Soc.", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1978:OFF, author = "Beno{\^\i}t Mandelbrot", title = "Les objets fractals. ({French}) [{Fractal} objects]", journal = j-RECHERCHE, volume = "9", number = "??", pages = "1--13", month = "????", year = "1978", CODEN = "RCCHBV", ISSN = "0029-5671 (print), 1625-9955 (electronic)", ISSN-L = "0029-5671", bibdate = "Mon Sep 10 18:24:31 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "La Recherche", language = "French", } @Article{Mandelbrot:1979:CTN, author = "Beno{\^\i}t Mandelbrot", title = "Corr{\'e}lations et texture dans un nouveau mod{\`e}le d'univers hi{\'e}rarchis{\'e}, bas{\'e} sur les ensembles tr{\'e}mas. ({French}) [{Correlations} and texture in a new model of a hierarchical universe, based on [discrete?] sets]", journal = j-C-R-ACAD-SCI-PARIS-SER-AB, volume = "288", number = "1", pages = "A81--A83", month = "????", year = "1979", CODEN = "CHASAP", ISSN = "0151-0509", MRclass = "85A99", MRnumber = "522025 (80c:85005)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}ries A et B", language = "French", } @Article{Mandelbrot:1979:DPF, author = "Beno{\^\i}t B. Mandelbrot", title = "Discussion Paper: Fractals, Attractors, and the Fractal Dimension", journal = j-ANN-NY-ACAD-SCI, volume = "316", number = "1", pages = "463--464", month = feb, year = "1979", CODEN = "ANYAA9", DOI = "http://dx.doi.org/10.1111/j.1749-6632.1979.tb29489.x", ISSN = "0077-8923 (print), 1749-6632 (electronic)", ISSN-L = "0077-8923", MRclass = "00A69 (76F99)", MRnumber = "556850 (81f:00010)", bibdate = "Sat Sep 8 19:03:53 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Bifurcation theory and applications in scientific disciplines (Papers, Conference, New York, 1977).", acknowledgement = ack-nhfb, fjournal = "Annals of the New York Academy of Sciences", onlinedate = "16 Dec 2006", } @Article{Mandelbrot:1979:FFC, author = "B. B. Mandelbrot and Michael Aizenman", title = "Fractals: Form, Chance, and Dimension", journal = j-PHYS-TODAY, volume = "32", number = "5", pages = "65--??", month = may, year = "1979", CODEN = "PHTOAD", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/phtoad/v32/i5/p65/s1", acknowledgement = ack-nhfb, fjournal = "Physics Today", } @Article{Mandelbrot:1979:RAL, author = "Beno{\^\i}t B. Mandelbrot and Murad S. Taqqu", title = "Robust {$R/S$} analysis of long-run serial correlation", journal = "Bull. Inst. Internat. Statist.", volume = "48", number = "2", pages = "69--99", month = "????", year = "1979", CODEN = "BISQA3", ISSN = "????", MRclass = "62M99 (60K99)", MRnumber = "731558 (84k:62139)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Proceedings of the 42nd session of the International Statistical Institute, Vol. 2 (Manila, 1979).", ZMnumber = "Zbl 0518.62036", acknowledgement = ack-nhfb, fjournal = "Bulletin de l'Institut International de Statistique", } @Article{Gefen:1980:CPF, author = "Yuval Gefen and Beno{\^\i}t B. Mandelbrot and Amnon Aharony", title = "Critical phenomena on fractal lattices", journal = j-PHYS-REV-LET, volume = "45", number = "11", pages = "855--858", month = "????", year = "1980", CODEN = "PRLTAO", DOI = "http://dx.doi.org/10.1103/PhysRevLett.45.855", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", MRclass = "82A25 (58C30)", MRnumber = "583107 (81g:82020)", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRL/v45/e855", acknowledgement = ack-nhfb, fjournal = "Physical Review Letters", } @Article{Mandelbrot:1980:FAI, author = "Beno{\^\i}t B. Mandelbrot", title = "Fractal aspects of the iteration of $z \to \lambda z (1 - z)$ for complex $\lambda$ and $z$", journal = j-ANN-NY-ACAD-SCI, volume = "357", number = "1", pages = "249--259", month = dec, year = "1980", CODEN = "ANYAA9", DOI = "http://dx.doi.org/10.1111/j.1749-6632.1980.tb29690.x", ISSN = "0077-8923 (print), 1749-6632 (electronic)", ISSN-L = "0077-8923", bibdate = "Sat Sep 8 12:12:43 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "International conference on nonlinear dynamics.", ZMnumber = "Zbl 0478.58017", acknowledgement = ack-nhfb, classmath = "37D45 (Strange attractors, chaotic dynamics) 37G99 (Local and nonlocal bifurcation theory) 30C10 (Polynomials (one complex variable))", fjournal = "Annals of the New York Academy of Sciences", keywords = "bifurcation; fractals; iterated quadratic polynomials in the complex plane", onlinedate = "16 Dec 2006", } @Article{Aharony:1981:PCP, author = "A. Aharony and Y. Gefen and B. Mandelbrot and S. Kirkpatrick", title = "Percolation, critical phenomena and fractals", journal = "Disordered Systems and Localization", volume = "11", number = "3", pages = "56--58", month = "????", year = "1981", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/yq56048um078t851/", acknowledgement = ack-nhfb, xxvolume = "149", } @Article{Gefen:1981:SFF, author = "Yuval Gefen and Amnon Aharony and Beno{\^\i}t B. Mandelbrot and Scott Kirkpatrick", title = "Solvable fractal family, and its possible relation to the backbone at percolation", journal = j-PHYS-REV-LET, volume = "47", number = "25", pages = "1771--1774", month = "????", year = "1981", CODEN = "PRLTAO", DOI = "http://dx.doi.org/10.1103/PhysRevLett.47.1771", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", MRclass = "82A43 (82A05)", MRnumber = "637547 (83e:82036)", MRreviewer = "B. Derrida", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRL/v47/e1771", acknowledgement = ack-nhfb, fjournal = "Physical Review Letters", } @InCollection{Mandelbrot:1981:FGM, author = "Beno{\^\i}t Mandelbrot", booktitle = "Encyclopedia Britannica 1981 Yearbook of Science and the Future", title = "Fractals and geometry with many scales of length", publisher = "Encyclopedia Britannica", address = "Chicago, IL, USA", pages = "168--181", year = "1981", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Mon Sep 10 18:26:28 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1981:SSS, author = "Beno{\^\i}t B. Mandelbrot", title = "Scalebound or Scaling Shapes: a Useful Distinction in the Visual Arts and in the Natural Sciences", journal = j-LEONARDO, volume = "14", number = "1", pages = "45--47", month = "????", year = "1981", CODEN = "LEONDP", ISSN = "0024-094X (print), 1530-9282 (electronic)", ISSN-L = "0024-094X", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1574481", acknowledgement = ack-nhfb, fjournal = "Leonardo (Oxford, England)", } @Article{Mandelbrot:1982:CCR, author = "B. B. Mandelbrot", title = "Comment on Computer Rendering of Fractal Stochastic Models", journal = j-CACM, volume = "25", number = "8", pages = "581--584", month = aug, year = "1982", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Tue Dec 26 16:40:01 1995", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Graphics/imager/imager.82.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/cacm1980.bib", acknowledgement = ack-nhfb, keywords = "I34 fractal stochastic models", } @Article{Mandelbrot:1982:DSD, author = "Beno{\^\i}t Mandelbrot", title = "On discs and sigma discs, that osculate the limit sets of groups of inversions", journal = j-MATH-INTEL, volume = "4", number = "??", pages = "??--??", month = "????", year = "1982", CODEN = "MAINDC", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Mon Sep 10 18:28:12 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", } @Article{Mandelbrot:1982:EEF, author = "B. B. Mandelbrot", title = "On an eigenfunction expansion and on fractional {Brownian} motions", journal = "Lettere Al Nuovo Cimento (1971--1985)", volume = "33", number = "17", pages = "549--550", month = "????", year = "1982", CODEN = "LNUCAE", ISSN = "0024-1318", MRclass = "60J65 (58G32 82A70 93E05)", MRnumber = "672910 (84d:60118)", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/d537931242363784/", acknowledgement = ack-nhfb, fjournal = "Lettere al Nuovo Cimento. Rivista Internazionale della Societ{\`a} Italiana di Fisica. Serie 2", xxjournal = "Lett. Nuovo Cimento (2)", } @Book{Mandelbrot:1982:FGN, author = "Beno{\^\i}t B. Mandelbrot", title = "The fractal geometry of nature", publisher = pub-W-H-FREEMAN, address = pub-W-H-FREEMAN:adr, pages = "v + 460", year = "1982", ISBN = "0-7167-1186-9", ISBN-13 = "978-0-7167-1186-5", LCCN = "QA447 .M25 1982; QA447 .M357 1982", MRclass = "00A69 (51-01 54F45 85A35 86A99)", MRnumber = "665254 (84h:00021)", MRreviewer = "S. Dubuc", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Schriftenreihe f{\"u}r den Referenten. [Series for the Referee]", ZMnumber = "Zbl 0504.28001", acknowledgement = ack-nhfb, remark = "Revised edition of \cite{Mandelbrot:1977:FFC}.", } @InCollection{Mandelbrot:1982:MCP, author = "Beno{\^\i}t Mandelbrot", booktitle = "????", title = "Des monstres de {Cantor} et de {Peano} {\`a} la g{\'e}om{\'e}trie fractale de la nature. ({French}) [{Cantor} and {Peano} monsters in the fractal geometry of nature]", volume = "29", publisher = "Seuil", address = "Paris, France", pages = "226--251", year = "1982", MRclass = "00A69 (01A55)", MRnumber = "674512 (84h:00022)", MRreviewer = "S. Dubuc", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Collect. Points S{\'e}r. Sci.", acknowledgement = ack-nhfb, language = "French", } @Article{Author:1983:FGN, author = "Beno{\^\i}t B. Mandelbrot Author and John A. Wheeler", title = "The Fractal Geometry of Nature", journal = j-AMER-J-PHYSICS, volume = "51", pages = "286--??", year = "1983", CODEN = "AJPIAS", ISSN = "0002-9505", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/ajpias/v51/i3/p286/s1", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", } @Article{Gefen:1983:GIH, author = "Yuval Gefen and Yigal Meir and Beno{\^\i}t B. Mandelbrot and Amnon Aharony", title = "Geometric implementation of hypercubic lattices with noninteger dimensionality, by use of low lacunarity fractal lattices", journal = j-PHYS-REV-LET, volume = "50", number = "3", pages = "145--148", month = "????", year = "1983", CODEN = "PRLTAO", DOI = "http://dx.doi.org/10.1103/PhysRevLett.50.145", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", MRclass = "82A05 (05B35 52A43)", MRnumber = "689323 (84f:82006)", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRL/v50/e145", acknowledgement = ack-nhfb, fjournal = "Physical Review Letters", } @Article{Gefen:1983:PTF, author = "Yuval Gefen and Amnon Aharony and Beno{\^\i}t B. Mandelbrot", title = "Phase transitions on fractals. {I}. {Quasilinear} lattices", journal = j-J-PHYS-A, volume = "16", number = "6", pages = "1267--1278", month = "????", year = "1983", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82A25 (82A68)", MRnumber = "706699 (86g:82022a)", MRreviewer = "B. Derrida", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/16/1267", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", } @Article{Given:1983:DFL, author = "James A. Given and Beno{\^\i}t B. Mandelbrot", title = "Diffusion on fractal lattices and the fractal {Einstein} relation", journal = j-J-PHYS-A, volume = "16", number = "15", pages = "L565--L569", month = "????", year = "1983", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82A67 (82-04 82A43 82A70)", MRnumber = "725282 (84m:82106)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/16/L565", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", } @InCollection{Mandelbrot:1983:EFM, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Percolation structures and processes", title = "An explicit fractal model of percolation clusters", volume = "5", publisher = pub-ADAM-HILGER, address = pub-ADAM-HILGER:adr, pages = "59--80", year = "1983", MRclass = "82A43 (60K35)", MRnumber = "728232 (85k:82028)", MRreviewer = "Louis H. Kauffman", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Ann. Israel Phys. Soc.", acknowledgement = ack-nhfb, } @Book{Mandelbrot:1983:FGN, author = "Beno{\^\i}t B. Mandelbrot", title = "The Fractal Geometry of Nature", publisher = pub-W-H-FREEMAN, address = pub-W-H-FREEMAN:adr, pages = "468 + 1", year = "1983", ISBN = "0-7167-1186-9", ISBN-13 = "978-0-7167-1186-5", LCCN = "QA447 .M271 1983", bibdate = "Wed Dec 15 10:38:44 1993", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", note = "Updated and augment edition of \cite{Mandelbrot:1983:FGN}, but with same ISBN.", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1983:QMC, author = "Beno{\^\i}t B. Mandelbrot", title = "On the quadratic mapping $z \to z^2 - \mu$ for complex $\mu$ and $z$: The fractal structure of its {$M$} set, and scaling", journal = j-PHYSICA-D, volume = "7", number = "1--3", pages = "224--239", month = may, year = "1983", CODEN = "PDNPDT", DOI = "http://dx.doi.org/10.1016/0167-2789(83)90128-8", ISSN = "0167-2789 (print), 1872-8022 (electronic)", ISSN-L = "0167-2789", MRclass = "58F14 (30D05 58F11)", MRnumber = "719054 (85d:58065)", MRreviewer = "I. N. Baker", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Order in chaos (Los Alamos, NM, 1982)", URL = "http://www.sciencedirect.com/science/article/pii/0167278983901288", ZMnumber = "Zbl 1194.30028", acknowledgement = ack-nhfb, fjournal = "Physica D. Nonlinear Phenomena", } @Article{Mandelbrot:1983:SIF, author = "Beno{\^\i}t B. Mandelbrot", title = "Self-inverse fractals osculated by sigma-discs and the limit sets of inversion groups", journal = j-MATH-INTEL, volume = "5", number = "2", pages = "9--17", month = jun, year = "1983", CODEN = "MAINDC", DOI = "http://dx.doi.org/10.1007/BF03023620", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", MRclass = "30F35 (11F06 30-04 58F11)", MRnumber = "737680 (85k:30069)", MRreviewer = "Louis H. Kauffman", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/b4782275k6415231/", ZMnumber = "Zbl 0609.30045", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", } @Article{Voldman:1983:FNS, author = "Jean Voldman and Beno{\^\i}t Mandelbrot and Lee W. Hoevel and Joshua Knight and Philip L. Rosenfeld", title = "Fractal Nature of Software-Cache Interaction", journal = j-IBM-JRD, volume = "27", number = "2", pages = "164--170", month = mar, year = "1983", CODEN = "IBMJAE", DOI = "http://dx.doi.org/10.1147/rd.272.0164", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Tue Mar 25 14:26:59 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib", abstract = "This paper uses fractals to model the clustering of cache misses. The clustering of cache misses can be quantified by a single number analog to a fractional dimension, and we are intrigued by the possibility that this number can be used as a measure of software complexity. The essential intuition is that cache misses are a direct reflection of changes in locality of reference, and that complex software requires more frequent (and larger) changes in this locality than simple software. The cluster dimension provides a measure (and perhaps the basis for a model) of the intrinsic differences between workloads. This paper focus on cache miss activity as a discriminate between interactive and batch environments.", acknowledgement = ack-nhfb, classcodes = "C4240 (Programming and algorithm theory)", classification = "723", journalabr = "IBM J Res Dev", keywords = "batch environments; clustering; computational complexity; computer software; fractal nature; interactive environments; modelling; software complexity; software-cache interaction", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Gefen:1984:PDS, author = "Yuval Gefen and B. B. Mandelbrot and A. Aharony and A. Kapitulnik", title = "Partial-dimensional sequences and percolation", journal = j-J-STAT-PHYS, volume = "36", number = "5--6", pages = "827--830", month = "????", year = "1984", CODEN = "JSTPSB", DOI = "http://dx.doi.org/10.1007/BF01012942", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", MRclass = "58F13 (82A43)", MRnumber = "773981 (86a:58061)", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/j815gu7668r33v43/", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", } @Article{Gefen:1984:PTFb, author = "Yuval Gefen and Amnon Aharony and Yonathan Shapir and Beno{\^\i}t B. Mandelbrot", title = "Phase transitions on fractals. {II}. {Sierpi{\'n}ski} gaskets", journal = j-J-PHYS-A, volume = "17", number = "2", pages = "435--444", month = "????", year = "1984", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82A25 (82A68)", MRnumber = "734134 (86g:82022b)", MRreviewer = "B. Derrida", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/17/435", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", } @Article{Gefen:1984:PTFc, author = "Yeval Gefen and Amnon Aharony and Beno{\^\i}t B. Mandelbrot", title = "Phase transitions on fractals. {III}. {Infinitely} ramified lattices", journal = j-J-PHYS-A, volume = "17", number = "6", pages = "1277--1289", month = "????", year = "1984", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82A25 (82A67)", MRnumber = "755653 (86g:82022c)", MRreviewer = "B. Derrida", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/17/1277", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", } @Article{Given:1984:CTP, author = "James A. Given and Beno{\^\i}t B. Mandelbrot", title = "Comment on transport processes on fractal structures", journal = j-J-PHYS-A, volume = "17", number = "9", pages = "1937--1939", month = "????", year = "1984", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82A67 (82A70)", MRnumber = "750608 (85m:82112)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/17/1937", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", } @Article{Given:1984:NMP, author = "James A. Given and Beno{\^\i}t B. Mandelbrot", title = "A new model of percolation clusters", journal = j-J-STAT-PHYS, volume = "36", number = "5--6", pages = "545--545", month = "????", year = "1984", CODEN = "JSTPSB", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/l745uv6w7n3m8835/", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", } @InCollection{Mandelbrot:1984:CCS, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Turbulence and chaotic phenomena in fluids ({Kyoto}, 1983)", title = "Comment on coherent structures in fluids, fractals, and the fractal structure of flow singularities", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "207--208", year = "1984", MRclass = "76F99 (58C27 58F13)", MRnumber = "788705 (86e:76039)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1984:CEB, author = "Beno{\^\i}t B. Mandelbrot", title = "Comment on the equivalence between fracton/spectral dimensionality, and the dimensionality of recurrence", journal = j-J-STAT-PHYS, volume = "36", number = "5--6", pages = "541--543", month = "????", year = "1984", CODEN = "JSTPSB", DOI = "http://dx.doi.org/10.1007/BF01012919", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", MRclass = "82A05 (58F13 82A67)", MRnumber = "773967 (86a:82003)", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/k046263428n04707/", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", } @InCollection{Mandelbrot:1984:DIM, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Chaos and statistical methods ({Kyoto}, 1983)", title = "On the dynamics of iterated maps. {VIII}. {The} map {$z \to \lambda (z + 1 / z)$}, from linear to planar chaos, and the measurement of chaos", volume = "24", publisher = pub-SV, address = pub-SV:adr, pages = "32--41", year = "1984", DOI = "http://dx.doi.org/10.1007/978-3-642-69559-9_4", MRclass = "58F08 (30D05)", MRnumber = "771492 (86m:58078)", MRreviewer = "I. N. Baker", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Springer Ser. Synergetics", ZMnumber = "Zbl 0571.28004", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1984:EFS, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Turbulence and chaotic phenomena in fluids ({Kyoto}, 1983)", title = "Each fractal set has a unique fractal dimension", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "203--206", year = "1984", MRclass = "58C35 (58F13 76F99)", MRnumber = "788704 (86j:58016)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1984:FCF, author = "Beno{\^\i}t B. Mandelbrot and Dann. E. Passoja and Alvin J. Paullay", title = "Fractal character of fracture surfaces of metals", journal = j-NATURE, volume = "308", number = "5961", pages = "721--722", day = "19", month = apr, year = "1984", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/308721a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v308/n5961/pdf/308721a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @InProceedings{Mandelbrot:1984:FGF, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Proceedings of the {International Congress} of {Mathematicians}, {Vol}. 1, 2 ({Warsaw}, 1983)", title = "On fractal geometry, and a few of the mathematical questions it has raised", publisher = "PWN", address = "Warsaw, Poland", pages = "1661--1675", year = "1984", MRclass = "00A69 (01A60 28C15)", MRnumber = "804805 (87a:00040)", MRreviewer = "Louis H. Kauffman", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1984:FPS, author = "Beno{\^\i}t B. Mandelbrot", title = "Fractals in physics: Squig clusters, diffusions, fractal measures, and the unicity of fractal dimensionality", journal = j-J-STAT-PHYS, volume = "34", number = "5--6", pages = "895--930", month = "????", year = "1984", CODEN = "JSTPSB", DOI = "http://dx.doi.org/10.1007/BF01009448", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", MRclass = "82A43 (58F11 58F40 82A57)", MRnumber = "751720 (86b:82020)", MRreviewer = "Yuval Gefen", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/xq15g34856h83h81/", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", } @Book{Mandelbrot:1984:OFF, author = "Beno{\^\i}t B. Mandelbrot", title = "Les objets fractals: Forme, hasard et dimension. ({French}) [Fractal objects: form, chance, and dimension]", publisher = "Flammarion", address = "Paris, France", edition = "Second", pages = "203", year = "1984", LCCN = "QA447 .M36 1984", bibdate = "Sat Sep 8 15:45:01 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; library.mit.edu:9909/mit01", series = "Nouvelle biblioth{\`e}que scientifique", acknowledgement = ack-nhfb, subject = "Geometry; Mathematical models; Stochastic processes; Fractals", } @Article{Mandelbrot:1984:PPN, author = "Beno{\^\i}t B. Mandelbrot and James A. Given", title = "Physical properties of a new fractal model of percolation clusters", journal = j-PHYS-REV-LET, volume = "52", pages = "1853--??", year = "1984", CODEN = "PRLTAO", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRL/v52/e1853", acknowledgement = ack-nhfb, fjournal = "Physical Review Letters", } @Article{Mandelbrot:1984:SSS, author = "Beno{\^\i}t B. Mandelbrot", title = "Squig sheets and some other squig fractal constructions", journal = j-J-STAT-PHYS, volume = "36", number = "5--6", pages = "519--539", month = "????", year = "1984", CODEN = "JSTPSB", DOI = "http://dx.doi.org/10.1007/BF01012918", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", MRclass = "60D05 (58F11 58F13 82A42)", MRnumber = "773966 (86f:60019)", MRreviewer = "S. Dubuc", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/k20w5q31555x03nj/", ZMnumber = "Zbl 0599.60017", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", } @Article{Lovejoy:1985:FPR, author = "S. Lovejoy and B. B. Mandelbrot", title = "Fractal Properties of Rain, and a Fractal Model", journal = "Tellus", volume = "37A", number = "??", pages = "209--232", month = "????", year = "1985", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 16:45:45 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1985:DIMa, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Chaos, fractals, and dynamics ({Guelph}, {Ont}., 1981/1983)", title = "On the dynamics of iterated maps. {III}. {The} individual molecules of the {$M$}-set, self-similarity properties, the empirical {$n^2$} rule, and the {$n^2$} conjecture", volume = "98", publisher = "Dekker", address = "New York, NY, USA", pages = "213--224", year = "1985", MRclass = "58F08 (30D05 58F14)", MRnumber = "813521 (87e:58109)", MRreviewer = "I. N. Baker", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-LNPAM, acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1985:DIMb, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Chaos, fractals, and dynamics ({Guelph}, {Ont}., 1981/1983)", title = "On the dynamics of iterated maps. {IV}. {The} notion of ``normalized radical'' {$R$} of the {$M$}-set, and the fractal dimension of the boundary of {$R$}", volume = "98", publisher = "Dekker", address = "New York, NY, USA", pages = "225--234", year = "1985", MRclass = "58F08 (30D05 58F14)", MRnumber = "813522 (87e:58110)", MRreviewer = "I. N. Baker", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-LNPAM, acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1985:DIMc, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Chaos, fractals, and dynamics ({Guelph}, {Ont}., 1981/1983)", title = "On the dynamics of iterated maps. {V}. {Conjecture} that the boundary of the {$M$}-set has a fractal dimension equal to {$2$}", volume = "98", publisher = "Dekker", address = "New York, NY, USA", pages = "235--238", year = "1985", MRclass = "58F08 (30D05 58F11)", MRnumber = "813523 (87e:58111)", MRreviewer = "I. N. Baker", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-LNPAM, ZMnumber = "Zbl 0571.58018", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1985:DIMd, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Chaos, fractals, and dynamics ({Guelph}, {Ont}., 1981/1983)", title = "On the dynamics of iterated maps. {VI}. {Conjecture} that certain {Julia} sets include smooth components", volume = "98", publisher = "Dekker", address = "New York, NY, USA", pages = "239--242", year = "1985", MRclass = "58F08 (30D05 58F11 58F12)", MRnumber = "813524 (87e:58112)", MRreviewer = "I. N. Baker", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-LNPAM, ZMnumber = "Zbl 0571.58019", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1985:DIMe, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Chaos, fractals, and dynamics ({Guelph}, {Ont}., 1981/1983)", title = "On the dynamics of iterated maps. {VII}. {Domain-filling} (``{Peano}'') sequences of fractal {Julia} sets, and an intuitive rationale for the {Siegel} discs", volume = "98", publisher = "Dekker", address = "New York, NY, USA", pages = "243--253", year = "1985", MRclass = "58F08 (30D05 58F11)", MRnumber = "813525 (87e:58113)", MRreviewer = "I. N. Baker", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-LNPAM, ZMnumber = "Zbl 0571.58020", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1985:DIMf, author = "Beno{\^\i}t B. Mandelbrot", title = "On the dynamics of iterated maps. {IX}. {Continuous} interpolation of the complex discrete map {$z \to \lambda z (1 - z)$}, and related topics", journal = j-PHYSICA-SCRIPTA, volume = "T9", number = "??", pages = "59--63", month = "????", year = "1985", CODEN = "PHSTBO", DOI = "http://dx.doi.org/10.1088/0031-8949/1985/T9/008", ISSN = "0031-8949 (print), 1402-4896 (electronic)", ISSN-L = "0031-8949", MRclass = "58F08 (30D05)", MRnumber = "863584 (88a:58105)", MRreviewer = "I. N. Baker", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Physics of chaos and related problems: Proceedings of the 59th Nobel Symposium 11--16 June 1984, Gr{\"a}ft{\aa}vallen, Sweden.", acknowledgement = ack-nhfb, fjournal = "Physica Scripta", } @Article{Mandelbrot:1985:FTT, author = "Beno{\^\i}t B. Mandelbrot and Yuval Gefen and Amnon Aharony and Jacques Peyri{\`e}re", title = "Fractals, their transfer matrices and their eigendimensional sequences", journal = j-J-PHYS-A, volume = "18", number = "2", pages = "335--354", month = "????", year = "1985", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82A05", MRnumber = "784920 (86g:82006)", MRreviewer = "A. Maritan", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/18/335", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", } @Article{Mandelbrot:1985:SAF, author = "Beno{\^\i}t B. Mandelbrot", title = "Self-affine fractals and fractal dimension", journal = j-PHYSICA-SCRIPTA, volume = "32", number = "4", pages = "257--260", month = "????", year = "1985", CODEN = "PHSTBO", DOI = "http://dx.doi.org/10.1088/0031-8949/32/4/001", ISSN = "0031-8949 (print), 1402-4896 (electronic)", ISSN-L = "0031-8949", MRclass = "58F12 (54F45 60G20)", MRnumber = "819684 (87g:58081)", MRreviewer = "S. Dubuc", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Physica Scripta", } @Book{Mandelbrot:1985:SIC, author = "Beno{\^\i}t B. Mandelbrot and others", title = "{Sch{\"o}nheit im Chaos: Bilder aus der theorie komplexer Systeme} = Frontiers of Chaos: computer graphics face complex dynamics", publisher = "MAP ART, Forschungsgruppe Komplexe Dynamik, Universit{\"a}t Bremen", address = "Bremen, West Germany", pages = "108", year = "1985", ISBN = "3-920699-65-3", ISBN-13 = "978-3-920699-65-3", LCCN = "QA614.86 .S342 1985", bibdate = "Mon Sep 10 15:14:05 MDT 2012", bibsource = "clas.caltech.edu:210/INNOPAC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, remark = "Text in German and English. The exhibition ``Frontiers of Chaos'' will be presented worldwide under the auspices of the Goethe Institut.", subject = "Fractals", } @InCollection{Mandelbrot:1986:FMT, author = "B. B. Mandelbrot", booktitle = "Dimensions and entropies in chaotic systems ({Pecos River Ranch, NM}, 1985)", title = "Fractal measures (their infinite moment sequences and dimensions) and multiplicative chaos: early works and open problems", volume = "32", publisher = pub-SV, address = pub-SV:adr, pages = "19--27", year = "1986", DOI = "http://dx.doi.org/10.1007/978-3-642-71001-8_3", MRclass = "58F13 (76F99)", MRnumber = "836770", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Springer Ser. Synergetics", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1986:MF, author = "Beno{\^\i}t B. Mandelbrot", title = "Multifractals and Fractals", journal = j-PHYS-TODAY, volume = "39", number = "9", pages = "11--??", month = sep, year = "1986", CODEN = "PHTOAD", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/phtoad/v39/i9/p11/s1", acknowledgement = ack-nhfb, fjournal = "Physics Today", } @InCollection{Mandelbrot:1986:SAFa, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Fractals in physics ({Trieste}, 1985)", title = "Self-affine fractal sets. {I}. {The} basic fractal dimensions", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "3--15", year = "1986", MRclass = "51M99 (28A75 54F45 58F99)", MRnumber = "863017 (88e:51037a)", MRreviewer = "Louis H. Kauffman", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1986:SAFb, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Fractals in physics ({Trieste}, 1985)", title = "Self-affine fractal sets. {II}. {Length} and surface dimensions", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "17--20", year = "1986", MRclass = "51M99 (28A75 54F45 58F99)", MRnumber = "863018 (88e:51037b)", MRreviewer = "Louis H. Kauffman", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1986:SAFc, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Fractals in physics ({Trieste}, 1985)", title = "Self-affine fractal sets. {III}. {Hausdorff} dimension anomalies and their implications", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "21--28", year = "1986", MRclass = "51M99 (28A75 54F45 58F99)", MRnumber = "863019 (88e:51037c)", MRreviewer = "Louis H. Kauffman", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Arnheim:1988:SFR, author = "Rudolf Arnheim and Thomas E. Lovejoy and David Gordon Wilson and Freeman Dyson and Jane Goodall and Ian Shelton and Kenneth H. Olsen and Irene C. Peden and Richard W. Hamming and Thomas Eisner and Preston Cloud and Matt Cartmill and Samuel C. Florman and Jeremy Bernstein and George A. Miller and Robert M. May and G. Evelyn Hutchinson and Jerome Bruner and Priscilla C. Grew and William Bevan and Elisabeth S. Vrba and Myrdene Anderson and Kevin Padian and Harry Shipman and Victor F. Weisskopf and Walter A. Hill and Patricia D. Moehlman and Melvin Kranzberg and Malak Kotb and Raymond Kurzweil and Marcia McNutt and Masakazu Konishi and Miriam Rothschild and Edward Teller and Alison Jolly and H. Jane Brockmann and Keith Stewart Thomson and Peter J. Denning and Beno{\^\i}t B. Mandelbrot and Abraham Pais and Paul MacCready and Kip S. Thorne and Ruth Sager and Gerald J. Wasserburg and Neal E. Miller and Rita Levi-Montalcini and Stephen Jay Gould and Edwin H. Land and Michel Boudart and Anne Kernan and Douglas R. Hofstadter and Rosalyn S. Yalow and Bruce H. Tiffney and Mimi Koehl and Walter E. Massey and David P. Billington and John A. W. Kirsch and Abner Shimony and J. Donald Fernie and Brian J. Skinner and Lynn Margulis and Sheldon Lee Glashow and Michael LaBarbera and J. Tuzo Wilson and E. R. Ward Neale and Rudolf Peierls and Roald Hoffmann and Mary L. Good and Donald R. Griffin and Vaclav Smil and Michael S. Turner and Sarah Ann Woodin and Luis Alvarez and George A. Bartholomew and George B. Schaller", title = "Seventy-five reasons to become a scientist: {American Scientist} celebrates its seventy-fifth anniversary", journal = j-AM-SCI, volume = "76", number = "5", pages = "450--463", month = sep, year = "1988", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib; JSTOR database", URL = "http://www.jstor.org/stable/27855384", acknowledgement = ack-nhfb, author-dates = "Edward Teller (1908--2003)", fjournal = "American Scientist", } @Book{Barnsley:1988:SFI, author = "Michael F. Barnsley and Robert L. Devaney and Beno{\^\i}t B. Mandelbrot and Heinz-Otto Peitgen and Dietmar Saupe and Richard F. Voss", title = "The science of fractal images", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 312", year = "1988", DOI = "http://dx.doi.org/10.1007/978-1-4612-3784-6", ISBN = "0-387-96608-0", ISBN-13 = "978-0-387-96608-3", LCCN = "????", MRclass = "68U05 (00A99 30D05 39B12 58F08 58F12 82C99 92F05)", MRnumber = "952853 (92a:68145)", MRreviewer = "P. D. F. Ion", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "With contributions by Yuval Fisher and Michael McGuire. Based on notes for the course Fractals --- introduction, basics and perspectives, given as part of the SIGGRAPH '87, Anaheim, California course program.", ZMnumber = "Zbl 0683.58003", acknowledgement = ack-nhfb, } @Article{Gutzwiller:1988:IMM, author = "Martin C. Gutzwiller and Beno{\^\i}t B. Mandelbrot", title = "Invariant multifractal measures in chaotic {Hamiltonian} systems, and related structures", journal = j-PHYS-REV-LET, volume = "60", number = "8", pages = "673--676", month = "????", year = "1988", CODEN = "PRLTAO", DOI = "http://dx.doi.org/10.1103/PhysRevLett.60.673", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", MRclass = "58F13 (11K55 81C99 82A99)", MRnumber = "927883 (89b:58134)", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRL/v60/e673", acknowledgement = ack-nhfb, fjournal = "Physical Review Letters", } @Article{Hadamard:1988:HDD, author = "Jacques Hadamard", title = "How {I} did not discover {Relativity}", journal = j-MATH-INTEL, volume = "10", number = "2", pages = "65--67", month = jun, year = "1988", CODEN = "MAINDC", DOI = "http://dx.doi.org/10.1007/BF03028360", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Translated by I. H. Rose. Edited by Beno{\^\i}t B. Mandelbrot.", URL = "http://www.springerlink.com/content/l2q468845183710u/", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", } @InCollection{Mandelbrot:1988:IMD, author = "B. B. Mandelbrot", booktitle = "Random fluctuations and pattern growth ({Carg{\`e}se}, 1988)", title = "An introduction to multifractal distribution functions", volume = "157", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "279--291", year = "1988", MRclass = "28A75 (58F13 82A99)", MRnumber = "988448", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "NATO Adv. Sci. Inst. Ser. E Appl. Sci.", acknowledgement = ack-nhfb, } @Article{Hirsch:1989:OCR, author = "Morris W. Hirsch", title = "Opinion: Chaos, Rigor, and Hype: {James Gleick, Beno{\^\i}t B. Mandelbrot, and John Franks}", journal = j-MATH-INTEL, volume = "11", number = "3", pages = "6--13", month = sep, year = "1989", CODEN = "MAINDC", DOI = "http://dx.doi.org/10.1007/BF03025183", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/v02l6108766n06h1/", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", } @Article{Kittel:1989:LGM, author = "Charles Kittel and Beno{\^\i}t B. Mandelbrot", title = "Letters: {Gibbs} and {Mandelbrot} at {Yale}", journal = j-PHYS-TODAY, volume = "42", number = "3", pages = "154, 156", month = mar, year = "1989", CODEN = "PHTOAD", DOI = "http://dx.doi.org/10.1063/1.2810954", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/phtoad/v42/i3/p154/s2", acknowledgement = ack-nhfb, fjournal = "Physics Today", } @Article{Krantz:1989:FG, author = "Steven G. Krantz and Beno{\^\i}t B. Mandelbrot", title = "Fractal geometry", journal = j-MATH-INTEL, volume = "11", number = "4", pages = "12--16", month = dec, year = "1989", CODEN = "MAINDC", DOI = "http://dx.doi.org/10.1007/BF03025877", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/n751525375q64411/", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", remark = "The article begins with an editor's note about how Krantz' book review and Mandelbrot's rebuttal could not be resolved acceptably to either for publication in the \booktitle{Bulletin of the AMS} or the \booktitle{Notices of the AMS}, and were finally moved to this journal.", } @InCollection{Mandelbrot:1989:CMM, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Fractals' physical origin and properties ({Erice}, 1988)", title = "A class of multinomial multifractal measures with negative (latent) values for the ``dimension'' {$f(\alpha)$}", volume = "45", publisher = pub-PLENUM, address = pub-PLENUM:adr, pages = "3--29", year = "1989", MRclass = "28A80 (00A69)", MRnumber = "1141390", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Ettore Majorana Internat. Sci. Ser. Phys. Sci.", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1989:DRM, author = "Beno{\^\i}t B. Mandelbrot and Tam{\'a}s Vicsek", title = "Directed recursive models for fractal growth", journal = j-J-PHYS-A, volume = "22", number = "9", pages = "L377--L383", month = "????", year = "1989", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82A99 (28A75 82A57 92A90)", MRnumber = "994360 (90b:82080)", bibdate = "Sat Sep 8 12:12:43 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/22/L377", ZMnumber = "Zbl 0703.58034", acknowledgement = ack-nhfb, classmath = "37C70 (Attractors and repellers, topological structure)", fjournal = "Journal of Physics A (Mathematical and General)", keywords = "Fractals; recursion", reviewer = "I. U. Bronshtejn", } @Article{Mandelbrot:1989:FASa, author = "Beno{\^\i}t B. Mandelbrot", title = "Fractals and an Art for the Sake of Science", journal = j-LEONARDO, volume = "2", number = "Supplemental Issue", pages = "21--24", month = "????", year = "1989", CODEN = "LEONDP", ISSN = "0024-094X (print), 1530-9282 (electronic)", ISSN-L = "0024-094X", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1557938", acknowledgement = ack-nhfb, fjournal = "Leonardo (Oxford, England)", } @InProceedings{Mandelbrot:1989:FASb, author = "B. B. Mandelbrot", title = "Fractals and an art for the sake of science", crossref = "Resch:1989:CAC", pages = "21--24", year = "1989", bibdate = "Mon Oct 4 18:48:17 MDT 1999", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/73877/p21-mandelbrot/", acknowledgement = ack-nhfb, keywords = "design; human factors", subject = "{\bf J.5} Computer Applications, ARTS AND HUMANITIES, Arts, fine and performing**. {\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations.", } @Article{Mandelbrot:1989:FGW, author = "B. B. Mandelbrot and A. Blumen", title = "Fractal Geometry: What is it, and What Does it do? [and Discussion]", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "423", number = "1864", pages = "3--16", day = "8", month = may, year = "1989", CODEN = "PRLAAZ", ISSN = "0080-4630", MRclass = "58F13 (58F40 82B99)", MRnumber = "1059262 (91d:58160)", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Fractals in the natural sciences", URL = "http://www.jstor.org/stable/2398503", ZMnumber = "Zbl 0746.00012", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences", } @Article{Mandelbrot:1989:MME, author = "Beno{\^\i}t B. Mandelbrot", title = "Multifractal measures, especially for the geophysicist", journal = j-PURE-APPL-GEOPHYS, volume = "131", number = "1--2", pages = "5--42", month = "????", year = "1989", CODEN = "PAGYAV", DOI = "http://dx.doi.org/10.1007/BF00874478", ISSN = "0033-4553 (print), 1420-9136 (electronic)", ISSN-L = "0033-4553", MRclass = "28A80 (86A99)", MRnumber = "1106479 (92k:28014)", MRreviewer = "Christoph Bandt", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/x445xm5507251257/", acknowledgement = ack-nhfb, fjournal = "Pure and Applied Geophysics", remark = "Fractals in geophysics", } @Book{Mandelbrot:1989:OFF, author = "Beno{\^\i}t B. Mandelbrot", title = "Les objets fractals: Forme, hasard et dimension. ({French}) [Fractal objects: form, chance, and dimension]", publisher = "Flammarion", address = "Paris, France", edition = "Third", pages = "268", year = "1989", ISBN = "2-08-211188-1", ISBN-13 = "978-2-08-211188-1", LCCN = "QA614.86 .M28 1989", bibdate = "Sat Sep 8 15:40:11 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", price = "99.00F", series = "Nouvelle biblioth{\`e}que scientifique", acknowledgement = ack-nhfb, subject = "fractals; mathematical models; stochastic processes", } @Article{Mandelbrot:1989:SFE, author = "Beno{\^\i}t B. Mandelbrot", title = "Some `Facts' That Evaporate Upon Examination", journal = j-MATH-INTEL, volume = "11", number = "4", pages = "17--19", month = dec, year = "1989", CODEN = "MAINDC", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/08301p9317702218/", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", } @Article{Mandelbrot:1989:TFW, author = "Beno{\^\i}t B. Mandelbrot", title = "Temperature Fluctuation: {A} Well-Defined and Unavoidable Notion", journal = j-PHYS-TODAY, volume = "42", number = "1", pages = "71--??", month = jan, year = "1989", CODEN = "PHTOAD", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/phtoad/v42/i1/p71/s1", acknowledgement = ack-nhfb, fjournal = "Physics Today", } @Article{Musgrave:1989:NEM, author = "F. Kenton Musgrave and Beno{\^\i}t B. Mandelbrot", title = "Natura ex Machina", journal = j-IEEE-CGA, volume = "9", number = "1", pages = "4--7", month = jan, year = "1989", CODEN = "ICGADZ", ISSN = "0272-1716 (print), 1558-1756 (electronic)", ISSN-L = "0272-1716", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "Graphics/siggraph/89.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeecga.bib", acknowledgement = ack-nhfb, annote = "About the Cover", fjournal = "IEEE Computer Graphics and Applications", } @Article{Scholz:1989:I, author = "C. H. Scholz and B. B. Mandelbrot", title = "Introduction", journal = "Pure and Applied Geophysics", volume = "131", number = "1--2", pages = "1--4", month = "????", year = "1989", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/x26l140400101035/", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1990:ESS, author = "Beno{\^\i}t B. Mandelbrot and Carl J. G. Evertsz and Yoshinori Hayakawa", title = "Exactly self-similar left-sided multifractal measures", journal = j-PHYS-REV-A, volume = "42", pages = "4528--??", year = "1990", CODEN = "PLRAAN", ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519", ISSN-L = "1050-2947", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRA/v42/e4528", acknowledgement = ack-nhfb, fjournal = "Physical Review A (Atomic, Molecular, and Optical Physics)", } @Article{Mandelbrot:1990:NAM, author = "Beno{\^\i}t B. Mandelbrot", title = "New `anomalous' multiplicative multifractals: Left sided $f(\alpha)$ and the modelling of {DLA}", journal = j-PHYSICA-A, volume = "168", number = "1", pages = "95--111", day = "1", month = sep, year = "1990", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/0378-4371(90)90361-U", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", MRclass = "82B99 (28A80)", MRnumber = "1077200 (91j:82031)", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/037843719090361U", acknowledgement = ack-nhfb, fjournal = "Physica A. Statistical and Theoretical Physics", } @Article{Mandelbrot:1990:NFD, author = "Beno{\^\i}t B. Mandelbrot", title = "Negative fractal dimensions and multifractals", journal = j-PHYSICA-A, volume = "163", number = "1", pages = "306--315", day = "1", month = feb, year = "1990", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/0378-4371(90)90339-T", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", MRclass = "28A75 (58F13 82A25)", MRnumber = "1043651 (90m:28008)", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Statistical physics (Rio de Janeiro, 1989)", URL = "http://www.sciencedirect.com/science/article/pii/037843719090339T", ZMnumber = "Zbl 0713.58034", acknowledgement = ack-nhfb, fjournal = "Physica A. Statistical and Theoretical Physics", } @Article{Mandelbrot:1990:PDA, author = "Beno{\^\i}t B. Mandelbrot and Carl J. G. Evertsz", title = "The potential distribution around growing fractal clusters", journal = j-NATURE, volume = "348", number = "6297", pages = "143--145", day = "8", month = nov, year = "1990", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/348143a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v348/n6297/pdf/348143a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @InCollection{Mandelbrot:1990:TMM, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Chaos/{\cyr {Khaos}} ({Woods Hole}, {MA}, 1989)", title = "Two meanings of multifractality, and the notion of negative fractal dimension", publisher = pub-AIP, address = pub-AIP:adr, pages = "79--90", year = "1990", MRclass = "28A80 (58F11)", MRnumber = "1123515 (92f:28008)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Evertsz:1991:BHM, author = "Carl J. G. Evertsz and Peter W. Jones and Beno{\^\i}t B. Mandelbrot", title = "Behaviour of the harmonic measure at the bottom of fjords", journal = j-J-PHYS-A, volume = "24", number = "8", pages = "1889--1901", month = "????", year = "1991", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "28A80 (86A60)", MRnumber = "1117606 (92e:28001)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/24/1889", ZMnumber = "Zbl 0731.58046", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", } @Article{Mandelbrot:1991:FAC, author = "Beno{\^\i}t Mandelbrot", title = "Fractal aggregates, and the current lines of their electrostatic potentials", journal = j-PHYSICA-A, volume = "177", number = "1--3", pages = "589--592", day = "15", month = sep, year = "1991", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/0378-4371(91)90205-Q", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/037843719190205Q", acknowledgement = ack-nhfb, fjournal = "Physica A", } @Book{Mandelbrot:1991:FGN, author = "Beno{\^\i}t B. Mandelbrot", title = "{Die fraktale Geometrie der Natur}. ({German}) [{The} Fractal Geometry of Nature]", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "491", year = "1991", ISBN = "3-7643-2646-8", ISBN-13 = "978-3-7643-2646-3", LCCN = "????", MRclass = "00A69 (54F45 58F13)", MRnumber = "1325015 (96a:00012)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Translated from the English by Reinhilt Z{\"a}hle and Ulrich Z{\"a}hle, Edited and with a foreword by U. Z{\"a}hle", ZMnumber = "Zbl 0652.28002", acknowledgement = ack-nhfb, language = "German", xxyear = "1987", } @Article{Mandelbrot:1991:MHM, author = "Beno{\^\i}t B. Mandelbrot and Carl J. G. Evertsz", title = "Multifractality of the harmonic measure on fractal aggregates, and extended self-similarity", journal = j-PHYSICA-A, volume = "177", number = "1--3", pages = "386--393", day = "15", month = sep, year = "1991", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/0378-4371(91)90177-E", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", MRclass = "58F40 (58F11)", MRnumber = "1137042 (92m:58124)", MRreviewer = "Helena E. Nusse", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Current problems in statistical mechanics (Washington, DC, 1991)", URL = "http://www.sciencedirect.com/science/article/pii/037843719190177E", acknowledgement = ack-nhfb, fjournal = "Physica A. Statistical and Theoretical Physics", } @Article{Mandelbrot:1991:RMN, author = "Beno{\^\i}t B. Mandelbrot", title = "Random Multifractals: Negative Dimensions and the Resulting Limitations of the Thermodynamic Formalism", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "434", number = "1890", pages = "79--88", day = "8", month = jul, year = "1991", CODEN = "PRLAAZ", DOI = "http://dx.doi.org/10.1098/rspa.1991.0081", ISSN = "0962-8444", MRclass = "58F13 (28A80 58F12)", MRnumber = "1124928 (92g:58086)", MRreviewer = "Colleen D. Cutler", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Turbulence and stochastic processes: Kolmogorov's ideas 50 years on", URL = "http://www.jstor.org/stable/51986", ZMnumber = "Zbl 0850.76277", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences", } @Article{Musgrave:1991:AFL, author = "F. K. Musgrave and B. B. Mandelbrot", title = "The art of fractal landscapes", journal = j-IBM-JRD, volume = "35", number = "4", pages = "535--536, 539", month = jul, year = "1991", CODEN = "IBMJAE", DOI = "http://dx.doi.org/10.1147/rd.354.0535", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Tue Mar 25 14:26:59 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib; http://www.research.ibm.com/journal/", abstract = "Synthetic images of fractal landscapes have moved beyond science to enter the domain of `art for art's sake'. The authors discuss some of the ramifications of this artistic aspect: improving the fractal description of terrains, adding fractal textures to surfaces, and using parallel computers. They illuminate the peculiarities of attaining artistic self-expression in representational imagery purely through formal logic, and discuss its import.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci. and Math., Yale Univ., New Haven, CT, USA", classcodes = "C7820 (Humanities); C6130B (Graphics techniques)", classification = "C6130B (Graphics techniques); C7820 (Humanities)", corpsource = "Dept. of Comput. Sci. and Math., Yale Univ., New Haven, CT, USA", keywords = "Art; art; Artistic self-expression; artistic self-expression; computer graphics; Formal logic; formal logic; fractal; fractal landscapes; Fractal landscapes; Fractal textures; fractals; Parallel computers; parallel computers; representational imagery; Representational imagery; synthetic images; Synthetic images; terrains; Terrains; textures", thesaurus = "Art; Computer graphics; Fractals", treatment = "A Application; P Practical", } @Article{Evertsz:1992:EVF, author = "Carl J. G. Evertsz and Beno{\^\i}t B. Mandelbrot and Lionel Woog", title = "Erratum: Variability of the form and of the harmonic measure for small off-off-lattice diffusion-limited aggregates [Phys. Rev. {A} 4 5, 5798 (1992)]", journal = j-PHYS-REV-A, volume = "45", pages = "8985--??", year = "1992", CODEN = "PLRAAN", ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519", ISSN-L = "1050-2947", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRA/v45/e8985", acknowledgement = ack-nhfb, fjournal = "Physical Review A (Atomic, Molecular, and Optical Physics)", } @Article{Evertsz:1992:HMA, author = "Carl J. G. Evertsz and Beno{\^\i}t B. Mandelbrot", title = "Harmonic measure around a linearly self-similar tree", journal = j-J-PHYS-A, volume = "25", number = "7", pages = "1781--1797", month = "????", year = "1992", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "28A80 (31-04 31A99)", MRnumber = "1156856 (93b:28018)", MRreviewer = "Ilya S. Molchanov", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/25/1781", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", } @Article{Evertsz:1992:VFH, author = "Carl J. G. Evertsz and Beno{\^\i}t B. Mandelbrot and Lionel Woog", title = "Variability of the form and of the harmonic measure for small off-off-lattice diffusion-limited aggregates", journal = j-PHYS-REV-A, volume = "45", pages = "5798--??", year = "1992", CODEN = "PLRAAN", ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519", ISSN-L = "1050-2947", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRA/v45/e5798", acknowledgement = ack-nhfb, fjournal = "Physical Review A (Atomic, Molecular, and Optical Physics)", } @Article{Mandelbrot:1992:PDS, author = "Beno{\^\i}t Mandelbrot", title = "Plane {DLA} is not self-similar; is it a fractal that becomes increasingly compact as it grows?", journal = j-PHYSICA-A, volume = "191", number = "1--4", pages = "95--107", day = "15", month = dec, year = "1992", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/0378-4371(92)90511-N", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/037843719290511N", acknowledgement = ack-nhfb, fjournal = "Physica A", } @Article{Mandelbrot:1992:SSH, author = "Beno{\^\i}t Mandelbrot", title = "Self-similarity of harmonic measure on {DLA}", journal = j-PHYSICA-A, volume = "185", number = "1--4", pages = "77--86", day = "15", month = jun, year = "1992", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/0378-4371(92)90440-2", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/0378437192904402", acknowledgement = ack-nhfb, fjournal = "Physica A", } @InCollection{Mandelbrot:1993:FAS, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "The visual mind", title = "Fractals and an art for the sake of science", publisher = pub-MIT, address = pub-MIT:adr, pages = "11--14", year = "1993", MRclass = "00A69", MRnumber = "1255835", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Leonardo Book Ser.", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:1993:MMM, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Chaos in {Australia} ({Sydney}, 1990)", title = "The {Minkowski} measure and multifractal anomalies in invariant measures of parabolic dynamic systems", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "83--94", year = "1993", MRclass = "58F11 (28A80)", MRnumber = "1345829 (96e:58091)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1993:O, author = "Beno{\^\i}t B. Mandelbrot", title = "Opinions", journal = j-FRACTALS, volume = "1", number = "1", pages = "117--123", month = "????", year = "1993", CODEN = "FRACEG", DOI = "http://dx.doi.org/10.1142/S0218348X93000137", ISSN = "0218-348X", MRclass = "00A35 (28A80)", MRnumber = "1230497 (94d:00008)", MRreviewer = "Frederick R. Marotto", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 1019.00508", acknowledgement = ack-nhfb, fjournal = "Fractals. Complex Geometry, Patterns, and Scaling in Nature and Society", } @Article{Mandelbrot:1993:OE, author = "Beno{\^\i}t B. Mandelbrot", title = "Opinions (essay)", journal = "Symmetry Cult. Sci.", volume = "4", number = "3", pages = "319--328", month = "????", year = "1993", CODEN = "????", ISSN = "0865-4824", MRclass = "00A99", MRnumber = "1839018", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0887.01037", acknowledgement = ack-nhfb, fjournal = "Symmetry: Culture and Science. The Quarterly of the International Society for the Interdisciplinary Study of Symmetry", } @Article{Mandelbrot:1993:SSC, author = "Beno{\^\i}t Mandelbrot", title = "Self-similarity and covered neighborhoods of fractals: {A} random walk test", journal = j-PHYSICA-A, volume = "196", number = "1", pages = "1--5", day = "15", month = may, year = "1993", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/0378-4371(93)90076-G", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/037843719390076G", acknowledgement = ack-nhfb, fjournal = "Physica A", } @Article{Stauffer:1993:SSC, author = "D. Stauffer and A. Aharony and B. B. Mandelbrot", title = "Self-similarity and covered neighborhoods of fractals: a random walk test", journal = j-PHYSICA-A, volume = "196", number = "1", pages = "1--5", month = "????", year = "1993", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/0378-4371(93)90076-G", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", bibdate = "Sat Sep 8 13:49:34 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0808.60037", acknowledgement = ack-nhfb, classmath = "60G18 (Self-similar processes) 28A80 (Fractals) 37D45 (Strange attractors, chaotic dynamics)", fjournal = "Physica A", keywords = "fractal; self-similarity; tube-like neighbourhoods of random walk trajectories", reviewer = "G. Keller (Erlangen)", } @Article{Mandelbrot:1994:ACT, author = "Beno{\^\i}t B. Mandelbrot and Dietrich Stauffer", title = "Antipodal correlations and the texture (fractal lacunarity) in critical percolation clusters", journal = j-J-PHYS-A, volume = "27", number = "9", pages = "L237--L242", month = "????", year = "1994", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82B43", MRnumber = "1282138 (95c:82024)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/27/L237", ZMnumber = "Zbl 0843.58112", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", } @InCollection{Mandelbrot:1994:I, author = "Beno{\^\i}t Mandelbrot", title = "Introduction", crossref = "Hirst:1994:FLR", pages = "??--??", year = "1994", bibdate = "Tue Sep 11 09:17:14 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Yekutieli:1994:HSO, author = "Iddo Yekutieli and Beno{\^\i}t B. Mandelbrot", title = "{Horton--Strahler} ordering of random binary trees", journal = j-J-PHYS-A, volume = "27", number = "2", pages = "285--293", month = "????", year = "1994", CODEN = "JPHAC5", DOI = "http://dx.doi.org/10.1088/0305-4470/27/2/014", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82C41 (82-04)", MRnumber = "1267413 (94m:82022)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/27/285", ZMnumber = "Zbl 0820.60025", acknowledgement = ack-nhfb, classmath = "60G18 (Self-similar processes) 82D20 (Solids (statistical mechanics))", fjournal = "Journal of Physics A (Mathematical and General)", keywords = "expected bifurcation ratio; Horton--Strahler ordering for random binary trees; self-similar branching structures", } @Article{Yekutieli:1994:SSB, author = "Iddo Yekutieli and Beno{\^\i}t B. Mandelbrot and Henry Kaufman", title = "Self-similarity of the branching structure in very large {DLA} clusters and other branching fractals", journal = j-J-PHYS-A, volume = "27", number = "2", pages = "275--284", month = "????", year = "1994", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82C41 (82-04 82C24)", MRnumber = "1267412 (94m:82021)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0305-4470/27/275", ZMnumber = "Zbl 0820.60024", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", } @Article{Cioczek-Georges:1995:CMA, author = "R. Cioczek-Georges and B. B. Mandelbrot", title = "A class of micropulses and antipersistent fractional {Brownian} motion", journal = j-STOCH-PROC-APPL, volume = "60", number = "1", pages = "1--18", month = "????", year = "1995", CODEN = "STOPB7", DOI = "http://dx.doi.org/10.1016/0304-4149(95)00046-1", ISSN = "0304-4149 (print), 1879-209X (electronic)", ISSN-L = "0304-4149", MRclass = "60G18 (60J65)", MRnumber = "1362316 (97c:60106)", MRreviewer = "Albert Benassi", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0846.60055", acknowledgement = ack-nhfb, fjournal = "Stochastic Processes and Their Applications", } @Article{Cioczek-Georges:1995:SFS, author = "Renata Cioczek-Georges and Beno{\^\i}t B. Mandelbrot and Gennady Samorodnitsky and Murad S. Taqqu", title = "Stable Fractal Sums of Pulses: The Cylindrical Case", journal = j-BERNOULLI, volume = "1", number = "3", pages = "201--216", month = sep, year = "1995", CODEN = "????", DOI = "http://dx.doi.org/10.2307/3318477", ISSN = "1350-7265 (print), 1573-9759 (electronic)", ISSN-L = "1350-7265", MRclass = "60G18 (60G17)", MRnumber = "1363538 (96m:60098)", MRreviewer = "Toshio Mori", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/3318477", acknowledgement = ack-nhfb, fjournal = "Bernoulli. Official Journal of the Bernoulli Society for Mathematical Statistics and Probability", } @Article{Kaufman:1995:PDL, author = "Henry Kaufman and Alessandro Vespignani and Beno{\^\i}t B. Mandelbrot and Lionel Woog", title = "Parallel diffusion-limited aggregation", journal = j-PHYS-REV-E, volume = "52", pages = "5602--??", year = "1995", CODEN = "PLEEE8", ISSN = "1539-3755 (print), 1550-2376 (electronic)", ISSN-L = "1539-3755", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRE/v52/e5602", acknowledgement = ack-nhfb, fjournal = "Physical Review E (Statistical physics, plasmas, fluids, and related interdisciplinary topics)", } @Article{Mandelbrot:1995:CMA, author = "Beno{\^\i}t Mandelbrot", title = "A class of micropulses and antipersistent fractional {Brownian} motion", journal = j-STOCH-PROC-APPL, volume = "60", number = "1", pages = "1--18", month = nov, year = "1995", CODEN = "STOPB7", DOI = "http://dx.doi.org/10.1016/0304-4149(95)00046-1", ISSN = "0304-4149 (print), 1879-209X (electronic)", ISSN-L = "0304-4149", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/0304414995000461", acknowledgement = ack-nhfb, fjournal = "Stochastic Processes and Their Applications", } @InCollection{Mandelbrot:1995:IFS, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "L{\'e}vy flights and related topics in physics ({Nice}, 1994)", title = "Introduction to fractal sums of pulses", volume = "450", publisher = pub-SV, address = pub-SV:adr, pages = "110--123", year = "1995", DOI = "http://dx.doi.org/10.1007/3-540-59222-9_29", ISSN = "0075-8450 (print), 1616-6361 (electronic)", ISSN-L = "0075-8450", MRclass = "82B41", MRnumber = "1381488 (97b:82054)", MRreviewer = "Remo Badii", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-LNP, URL = "http://www.springerlink.com/content/y52438vl6j470635/", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1995:MFI, author = "Beno{\^\i}t Mandelbrot", title = "Multifractal Formalism for Infinite Multinomial Measures", journal = j-ADV-APPL-MATH, volume = "16", number = "2", pages = "132--150", month = jun, year = "1995", CODEN = "????", DOI = "http://dx.doi.org/10.1006/aama.1995.1007", ISSN = "0196-8858 (print), 1090-2074 (electronic)", ISSN-L = "0196-8858", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S019688588571007X", acknowledgement = ack-nhfb, fjournal = "Advances in Applied Mathematics", } @InCollection{Mandelbrot:1995:MFL, author = "Beno{\^\i}t B. Mandelbrot", editor = "Christoph Bandt and others", booktitle = "{Fractal geometry and stochastics. Proceedings of a conference on fractal geometry and stochastics held at Finsterbergen, Germany, June 12--18, 1994}", title = "Measures of fractal lacunarity: {Minkowski} content and alternatives", volume = "37", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "15--42", year = "1995", MRclass = "28A80 (28A75 60D05)", MRnumber = "1391969 (97d:28009)", MRreviewer = "Hermann Haase", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Progress in Probability", ZMnumber = "Zbl 0841.28010", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1995:NDH, author = "B. B. Mandelbrot", title = "Negative dimensions and {H{\"o}lders}, multifractals and their {H{\"o}lder} spectra, and the role of lateral preasymptotics in science", journal = j-FOURIER-ANAL-APPL, volume = "Special Issue", number = "??", pages = "409--432", month = "????", year = "1995", CODEN = "????", ISSN = "1069-5869", MRclass = "28A80 (60D05)", MRnumber = "1364900 (97a:28005)", MRreviewer = "S. J. Taylor", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Proceedings of the Conference in Honor of Jean-Pierre Kahane (Orsay, 1993).", ZMnumber = "Zbl 0887.28004", acknowledgement = ack-nhfb, fjournal = "Journal of {Fourier} analysis and applications", } @InCollection{Mandelbrot:1995:PLK, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "{L{\'e}vy} flights and related topics in physics ({Nice}, 1994)", title = "The {Paul L{\'e}vy} {I} knew", volume = "450", publisher = pub-SV, address = pub-SV:adr, pages = "ix--xii", year = "1995", ISSN = "0075-8450 (print), 1616-6361 (electronic)", ISSN-L = "0075-8450", MRclass = "01A70", MRnumber = "1381482", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-LNP, acknowledgement = ack-nhfb, } @Article{Riedi:1995:MFI, author = "Rudolf H. Riedi and Beno{\^\i}t B. Mandelbrot", title = "Multifractal formalism for infinite multinomial measures", journal = j-ADV-APPL-MATH, volume = "16", number = "2", pages = "132--150", month = "????", year = "1995", CODEN = "????", DOI = "http://dx.doi.org/10.1006/aama.1995.1007", ISSN = "0196-8858 (print), 1090-2074 (electronic)", ISSN-L = "0196-8858", MRclass = "28A80 (28A78)", MRnumber = "1334146 (96d:28008)", MRreviewer = "Lars Olsen", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Advances in Applied Mathematics", } @Article{Cioczek-Georges:1996:AMF, author = "R. Cioczek-Georges and B. B. Mandelbrot", title = "Alternative micropulses and fractional {Brownian} motion", journal = j-STOCH-PROC-APPL, volume = "64", number = "2", pages = "143--152", month = "????", year = "1996", CODEN = "STOPB7", DOI = "http://dx.doi.org/10.1016/S0304-4149(96)00089-0", ISSN = "0304-4149 (print), 1879-209X (electronic)", ISSN-L = "0304-4149", MRclass = "60G18 (60F05 60G15)", MRnumber = "1424232 (98d:60076)", MRreviewer = "Albert Benassi", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0879.60076", acknowledgement = ack-nhfb, fjournal = "Stochastic Processes and Their Applications", } @Article{Hovi:1996:GIL, author = "J.-P. Hovi and Amnon Aharony and Dietrich Stauffer and Beno{\^\i}t B. Mandelbrot", title = "Gap Independence and Lacunarity in Percolation Clusters", journal = j-PHYS-REV-LET, volume = "77", pages = "877--??", year = "1996", CODEN = "PRLTAO", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRL/v77/e877", acknowledgement = ack-nhfb, fjournal = "Physical Review Letters", } @Article{Jaffard:1996:LRN, author = "St{\'e}phane Jaffard and Beno{\^\i}t B. Mandelbrot", title = "Local regularity of nonsmooth wavelet expansions and application to the {P{\'o}lya} function", journal = j-ADV-MATH, volume = "120", number = "2", pages = "265--282", month = "????", year = "1996", CODEN = "ADMTA4", DOI = "http://dx.doi.org/10.1006/aima.1996.0039", ISSN = "0001-8708 (print), 1090-2082 (electronic)", ISSN-L = "0001-8708", MRclass = "42C15", MRnumber = "1397083 (98c:42031)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0916.42024", acknowledgement = ack-nhfb, fjournal = "Advances in Mathematics", } @Article{Mandelbrot:1996:AMF, author = "Beno{\^\i}t Mandelbrot", title = "Alternative micropulses and fractional {Brownian} motion", journal = j-STOCH-PROC-APPL, volume = "64", number = "2", pages = "143--152", day = "29", month = nov, year = "1996", CODEN = "STOPB7", DOI = "http://dx.doi.org/10.1016/S0304-4149(96)00089-0", ISSN = "0304-4149 (print), 1879-209X (electronic)", ISSN-L = "0304-4149", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0304414996000890", acknowledgement = ack-nhfb, fjournal = "Stochastic Processes and Their Applications", } @Article{Mandelbrot:1996:LRN, author = "Beno{\^\i}t Mandelbrot", title = "Local Regularity of Nonsmooth Wavelet Expansions and Application to the {P{\'o}lya} Function", journal = j-ADV-MATH, volume = "120", number = "2", pages = "265--282", day = "25", month = jun, year = "1996", CODEN = "ADMTA4", DOI = "http://dx.doi.org/10.1006/aima.1996.0039", ISSN = "0001-8708 (print), 1090-2082 (electronic)", ISSN-L = "0001-8708", bibdate = "Sat Sep 8 16:48:47 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0001870896900390", acknowledgement = ack-nhfb, fjournal = "Advances in Mathematics", } @Article{Blumenfeld:1997:LDM, author = "Raphael Blumenfeld and Beno{\^\i}t B. Mandelbrot", title = "{L{\'e}vy} dusts, {Mittag-Leffler} statistics, mass fractal lacunarity, and perceived dimension", journal = j-PHYS-REV-E, volume = "56", number = "1, part A", pages = "112--118", month = "????", year = "1997", CODEN = "PLEEE8", DOI = "http://dx.doi.org/10.1103/PhysRevE.56.112", ISSN = "1539-3755 (print), 1550-2376 (electronic)", ISSN-L = "1539-3755", MRclass = "82C31", MRnumber = "1459089 (98f:82099)", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRE/v56/e112", ZMnumber = "Zbl 0850.28004", acknowledgement = ack-nhfb, fjournal = "Physical Review E (Statistical physics, plasmas, fluids, and related interdisciplinary topics)", } @Book{Mandelbrot:1997:FSF, author = "Beno{\^\i}t B. Mandelbrot", title = "Fractals and scaling in finance. {Discontinuity}, concentration, risk. {Selecta} Volume {E}", publisher = pub-SV, address = pub-SV:adr, pages = "x + 551", year = "1997", ISBN = "0-387-98363-5", ISBN-13 = "978-0-387-98363-9", LCCN = "HG176.5 .M36 1997", MRclass = "90A12 (28A80 60J65 90A16)", MRnumber = "1475217 (98i:90019)", MRreviewer = "Bing Hong Wang", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "With a foreword by R. E. Gomory, and contributions by P.H. Cootner and others.", series = "Selected Works of Beno{\^\i}t B. Mandelbrot", ZMnumber = "Zbl 1005.9100", acknowledgement = ack-nhfb, tableofcontents = "Intro \\ Major Themes \\ New Methods in statistical economics \\ Historical Background \\ States of randomness \\ Self-similarity and self-affinity \\ Rank sized plots \\ Proportional growth and other explanations of scaling \\ A case against the log distribution \\ Personal incomes and firm sizes \\ Random flight on Wall Street \\ Nonlinear forecasts", } @Book{Mandelbrot:1997:GFN, author = "Beno{\^\i}t B. Mandelbrot", title = "La geometr{\'\i}a fractal de la naturaleza. ({Spanish}) [{The} Fractal Geometry of Nature]", volume = "49", publisher = "Tusquets Editores S.A.", address = "Barcelona, Spain", pages = "662", year = "1997", ISBN = "84-8310-549-7", ISBN-13 = "978-84-8310-549-8", LCCN = "????", MRclass = "00A69 (28A80 58F13)", MRnumber = "1484414 (98g:00011)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Translated from the English by Josep Llosa.", series = "Metatemas", acknowledgement = ack-nhfb, language = "Spanish", } @Article{Mandelbrot:1997:IFC, author = "Beno{\^\i}t Mandelbrot", title = "Inversion Formula for Continuous Multifractals", journal = j-ADV-APPL-MATH, volume = "19", number = "3", pages = "332--354", month = oct, year = "1997", CODEN = "????", DOI = "http://dx.doi.org/10.1006/aama.1997.0550", ISSN = "0196-8858 (print), 1090-2074 (electronic)", ISSN-L = "0196-8858", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0196885897905509", acknowledgement = ack-nhfb, fjournal = "Advances in Applied Mathematics", } @Article{Mandelbrot:1997:IMI, author = "Beno{\^\i}t B. Mandelbrot and Rudolf H. Riedi", title = "Inverse Measures, the Inversion Formula, and Discontinuous Multifractals", journal = j-ADV-APPL-MATH, volume = "18", number = "1", pages = "50--58", month = jan, year = "1997", CODEN = "????", DOI = "http://dx.doi.org/10.1006/aama.1996.0500", ISSN = "0196-8858 (print), 1090-2074 (electronic)", ISSN-L = "0196-8858", MRclass = "28A80 (58F11 60D05)", MRnumber = "1425949 (98e:28011)", MRreviewer = "Lars Olsen", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S019688589690500X", acknowledgement = ack-nhfb, fjournal = "Advances in Applied Mathematics", } @Article{Mandelbrot:1997:PPM, author = "B. B. Mandelbrot and St{\'e}phane Jaffard", title = "{Peano--P{\'o}lya} motions, when time is intrinsic or binomial (uniform or multifractal)", journal = j-MATH-INTEL, volume = "19", number = "4", pages = "21--26", month = dec, year = "1997", CODEN = "MAINDC", DOI = "http://dx.doi.org/10.1007/BF03024410", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", MRclass = "28A80", MRnumber = "1488862 (98k:28012)", MRreviewer = "Hermann Haase", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/9120830561261547/", ZMnumber = "Zbl 0922.28006", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", } @Article{Riedi:1997:IFC, author = "Rudolf H. Riedi and Beno{\^\i}t B. Mandelbrot", title = "Inversion formula for continuous multifractals", journal = j-ADV-APPL-MATH, volume = "19", number = "3", pages = "332--354", month = "????", year = "1997", CODEN = "????", DOI = "http://dx.doi.org/10.1006/aama.1997.0550", ISSN = "0196-8858 (print), 1090-2074 (electronic)", ISSN-L = "0196-8858", MRclass = "28A80", MRnumber = "1469309 (99b:28012)", MRreviewer = "Norbert Patzschke", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0892.28007", acknowledgement = ack-nhfb, fjournal = "Advances in Applied Mathematics", } @Article{Mandelbrot:1998:FSF, author = "Beno{\^\i}t B. Mandelbrot and Nigel Goldenfeld", title = "Fractals and Scaling in Finance: Discontinuity, Concentration, Risk", journal = j-PHYS-TODAY, volume = "51", number = "8", pages = "59--??", month = aug, year = "1998", CODEN = "PHTOAD", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/phtoad/v51/i8/p59/s1", acknowledgement = ack-nhfb, fjournal = "Physics Today", } @Article{Mandelbrot:1998:NF, author = "Beno{\^\i}t B. Mandelbrot", title = "Is Nature Fractal?", journal = j-SCIENCE, volume = "279", number = "5352", pages = "783--783", day = "6", month = feb, year = "1998", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.279.5352.783c", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/279/5352/783.3.full", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Mandelbrot:1998:NFI, author = "Beno{\^\i}t B. Mandelbrot and Peter Pfeifer and Ofer Biham and Ofer Malcai and Daniel A. Lidar and David Avnir", title = "Is Nature Fractal?", journal = j-SCIENCE, volume = "279", number = "5352", pages = "783, 785--786", day = "6", month = feb, year = "1998", CODEN = "SCIEAS", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2894997", acknowledgement = ack-nhfb, fjournal = "Science", } @Book{Mandelbrot:1998:OFF, author = "Beno{\^\i}t B. Mandelbrot", title = "Les objets fractals: Forme, hasard et dimension. ({French}) [Fractal objects: form, chance, and dimension]", publisher = "Flammarion", address = "Paris, France", edition = "Fourth", pages = "212", year = "1998", ISBN = "2-08-081301-3", ISBN-13 = "978-2-08-081301-5", LCCN = "QA447 .M36", bibdate = "Sat Sep 8 15:45:07 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; library.ox.ac.uk:210/ADVANCE", acknowledgement = ack-nhfb, language = "French", subject = "Geometry; Mathematical models; Stochastic processes; Fractals", } @InCollection{Mandelbrot:1998:P, author = "Beno{\^\i}t Mandelbrot", title = "Preface", crossref = "Stewart:1998:DJN", pages = "??--??", year = "1998", bibdate = "Tue Sep 11 10:13:55 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Riedi:1998:EMF, author = "Rudolf H. Riedi and Beno{\^\i}t B. Mandelbrot", title = "Exceptions to the multifractal formalism for discontinuous measures", journal = "Math. Proc. Cambridge Philos. Soc.", volume = "123", number = "1", pages = "133--157", month = "????", year = "1998", CODEN = "MPCPCO", DOI = "http://dx.doi.org/10.1017/S0305004197002119", ISSN = "0305-0041 (print), 1469-8064 (electronic)", MRclass = "28A80", MRnumber = "1474871 (98m:28018)", MRreviewer = "Norbert Patzschke", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0892.28008", acknowledgement = ack-nhfb, fjournal = "Mathematical Proceedings of the Cambridge Philosophical Society", } @Book{Vuori:1998:MES, author = "Harri Vuori and Beno{\^\i}t B. Mandelbrot", title = "The {Mandelbrot} echoes: for symphony orchestra, 1995", publisher = "Edition Love", address = "Helsinki, Finland", year = "1998", LCCN = "M1045.V96 M36 1998", bibdate = "Sat Sep 8 15:40:11 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", note = "1 score (65).", acknowledgement = ack-nhfb, remark = "Original version 1996.", subject = "Orchestral music; Scores; Music; Manuscripts; Facsimiles; Vuori, Harri", } @TechReport{Barral:1999:MPC, author = "Julien Barral and Beno{\^\i}t B. Mandelbrot", title = "Multifractal products of certain pulses", institution = "UM2---D{\'e}partement des sciences math{\'e}matiques", address = "Montpellier, France", pages = "33", year = "1999", bibdate = "Sat Sep 8 15:45:31 MDT 2012", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @InCollection{Coppens:1999:ENG, author = "Marc-Olivier Coppens and Beno{\^\i}t B. Mandelbrot", editor = "Michel Dekking", booktitle = "Fractals: Theory and applications in engineering", title = "Easy and natural generation of multifractals: Multiplying harmonics of periodic functions", publisher = pub-SV, address = pub-SV:adr, pages = "113--122", year = "1999", bibdate = "Sat Sep 8 12:12:43 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0965.28003", acknowledgement = ack-nhfb, classmath = "28A80 (Fractals) 60D05 (Geometric probability and stochastic geometry)", keywords = "multifractal measure; multifractal product of functions; multinomial measure", reviewer = "Yimin Xiao (East Lansing)", } @Book{Daintith:1999:DS, editor = "John Daintith and Derek Gjertsen", title = "A dictionary of scientists", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "586", year = "1999", ISBN = "0-585-11047-6 (e-book), 0-19-280086-8 (paperback)", ISBN-13 = "978-0-585-11047-9 (e-book), 978-0-19-280086-2 (paperback)", LCCN = "Q141 .D52 1994", bibdate = "Sat Jan 12 22:39:44 MST 2013", bibsource = "catalogue.nla.gov.au:7090/Voyager; http://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/authors/o/oppenheimer-j-robert.bib; http://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib; http://www.math.utah.edu/pub/tex/bib/adabooks.bib; http://www.math.utah.edu/pub/tex/bib/einstein.bib", series = "Oxford paperback reference", URL = "http://www.loc.gov/catdir/enhancements/fy0637/99488304-d.html; http://www.loc.gov/catdir/enhancements/fy0637/99488304-t.html; http://www.netLibrary.com/urlapi.asp?action=summary&v=1&bookid=12306", acknowledgement = ack-nhfb, keywords = "Albert Einstein; Alexander Fleming; Archimedes; Beno{\^\i}t Mandlebrot; Bill Gates; Carl Sagan; Charles Babbage; Charles Darwin; Copernicus; Cyril Burt; Douglas Hofstadter; Ed Witten; Edmond Halley; Edwin Hubble; Ernest Rutherford; Erwin Schr{\"o}dinger; Francis Crick; Fred Hoyle; Galileo; Gregor Mendel; Henri Poincar{\'e}; Isaac Newton; Jame Watson; Jonas Salk; Julius Robert Oppenheimer; Konrad Lorenz; Lewis Wolpert; Linus Pauling; Louis Pasteur; Marie Curie; Michael Faraday; Peter Medawar; Pythagoras; Richard Dawkins; Richard Leakey; Robert Boyle; Sigmund Freud; Stephen Jay Gould; Edward Teller; Werner Heisenberg; William Harvey", remark = "Abridged and updated edition of \booktitle{The encyclopedia of scientists}: Institute of Physics, 1993.", subject = "scientists; biography; dictionaries", } @Article{Mandelbrot:1999:CSP, author = "Beno{\^\i}t B. Mandelbrot and Michael Frame", title = "The Canopy and Shortest Path in a Self-Contacting Fractal Tree", journal = j-MATH-INTEL, volume = "21", number = "2", pages = "18--27", month = jun, year = "1999", CODEN = "MAINDC", DOI = "http://dx.doi.org/10.1007/BF03024842", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", MRclass = "28A80", MRnumber = "1684366 (2000a:28010)", MRreviewer = "Remo Badii", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/136523377672365p/", ZMnumber = "Zbl 1052.28500", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", } @Book{Mandelbrot:1999:MNW, author = "Beno{\^\i}t B. Mandelbrot", title = "Multifractals and {$1/f$} noise. {Wild} self-affinity in physics (1963--1976). {Selecta} Volume {N}", publisher = pub-SV, address = pub-SV:adr, pages = "viii + 442", year = "1999", ISBN = "0-387-98539-5", ISBN-13 = "978-0-387-98539-8", LCCN = "QA614.86 .M27 1999", MRclass = "28A80 (37C45 37N20 60D05 60J65 76F99)", MRnumber = "1713511 (2003c:28006)", MRreviewer = "Daniel J. M. Schertzer", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "With contributions by J. M. Berger, J.-P. Kahane and J. Peyri{\`e}re.", series = "Selected Works of Beno{\^\i}t B. Mandelbrot", ZMnumber = "Zbl 0956.28005", acknowledgement = ack-nhfb, } @Article{Mandelbrot:1999:MWW, author = "Beno{\^\i}t B. Mandelbrot", title = "A Multifractal Walk down {Wall Street}", journal = j-SCI-AMER, volume = "280", number = "2", pages = "70--73", month = feb, year = "1999", CODEN = "SCAMAC", DOI = "http://dx.doi.org/10.1038/scientificamerican0299-70", ISSN = "0036-8733 (print), 1946-7087 (electronic)", ISSN-L = "0036-8733", bibdate = "Sat Sep 8 11:06:18 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.sciam.com/1999/0209issue/0209quicksummary.html; OCLC Contents1st database", URL = "http://www.nature.com/scientificamerican/journal/v280/n2/pdf/scientificamerican0299-70.pdf", abstract = "When will the Dow top 10,000? When will it crash? This famous mathematician argues that the complex geometric patterns that describe the shapes of coastlines, ferns and galaxies might model the capriciousness of financial markets better than conventional portfolio theory can.", acknowledgement = ack-nhfb, ajournal = "Sci. Amer.", fjournal = "Scientific American", } @Article{Mandelbrot:1999:RFP, author = "Beno{\^\i}t B. Mandelbrot", title = "Renormalization and fixed points in finance, since 1962", journal = j-PHYSICA-A, volume = "263", number = "1--4", pages = "477--487", day = "1", month = feb, year = "1999", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/S0378-4371(98)00520-2", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", MRclass = "91B28", MRnumber = "1723366", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "STATPHYS 20 (Paris, 1998)", URL = "http://www.sciencedirect.com/science/article/pii/S0378437198005202", acknowledgement = ack-nhfb, fjournal = "Physica A. Statistical Mechanics and its Applications", } @Book{Mandelbrot:1999:SMF, author = "Beno{\^\i}t B. Mandelbrot", title = "Survey of multifractality in finance", volume = "1238", publisher = "The Foundation", address = "New Haven, CT, USA", pages = "????", year = "1999", LCCN = "????", bibdate = "Sat Sep 8 15:40:26 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; prodorbis.library.yale.edu:7090/voyager", series = "Cowles Foundation discussion paper", acknowledgement = ack-nhfb, } @Book{Mandelbrot:2000:CS, author = "Beno{\^\i}t B. Mandelbrot and Martin Shaw and Nigel Lesmoir-Gordon", title = "Clouds are not spheres", publisher = "Gordon Films, Inc.", address = "????", year = "2000", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Mon Sep 10 15:38:08 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Video recording. Written by Nigel Lesmoir-Gordon, John Tate, Bill Rood. Produced and directed by Nigel Lesmoir-Gordon. Cameraman: Jo Zafar. Editor: Gabriel Lesmoir-Gordon. Music: James Watson and Charles Wuorinen.", acknowledgement = ack-nhfb, tableofcontents = "Introduction to Fractal Geometry (4:15) \\ Biographical Notes on Mandelbrot (3:39) \\ Mandelbrot's Special Abilities (5:19) \\ Application of Mandelbrot's Discovery (4:58) \\ Stock Prices Provide a Model (2:52) \\ Pure Mathematics and Nature (5:07) \\ Quest for Continuity (2:24) \\ Turbulence Theory (5:31) \\ Fractals Are Born (3:03) \\ Mandelbrot Set (5:32) \\ Practical Applications of Fractals (4:50) \\ Mystery and Beauty of Fractals (3:23) \\ Value of Fractals (4:25) \\ Intro (0:06) \\ It's a wiggly world (0:35) \\ Benoit\_test (1:01).", } @InCollection{Mandelbrot:2000:SMQ, author = "Beno{\^\i}t B. Mandelbrot", editor = "Jean-Paul Pier", booktitle = "Development of mathematics 1950--2000", title = "Some mathematical questions arising in fractal geometry", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "795--811", year = "2000", MRclass = "28A80 (01A60 37F45 37F50)", MRnumber = "1796859 (2001k:28011)", MRreviewer = "Andreas Schief", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0963.37039", acknowledgement = ack-nhfb, } @Book{Mandelbrot:2001:LFA, author = "Beno{\^\i}t Mandelbrot", title = "{L}'anneau fractal de l'art {\`a} l'art {\`a} travers la g{\'e}om{\'e}trie, la finance et les sciences [images anim{\'e}es]. ({French}) [{The} fractal ring of art to art across geometry, finance, and science [animated images]]", publisher = "Service du Film de Recherche Scientifique", address = "Vanves, France", year = "2001", LCCN = "????", bibdate = "Sat Sep 8 15:45:31 MDT 2012", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "One VHS cassette (72 min).", acknowledgement = ack-nhfb, language = "French", remark = "Videotaped lecture by the author.", } @Article{Mandelbrot:2001:SFPa, author = "Beno{\^\i}t B. Mandelbrot", title = "Scaling in financial prices. {I}. {Tails} and dependence", journal = j-QUANT-FINANCE, volume = "1", number = "1", pages = "113--123", month = "????", year = "2001", CODEN = "QFUIAV", DOI = "http://dx.doi.org/10.1088/1469-7688/1/1/308", ISSN = "1469-7688 (print), 1469-7696 (electronic)", ISSN-L = "1469-7688", MRclass = "91B28 (91B02)", MRnumber = "1810018 (2001m:91095)", MRreviewer = "Gian-Italo Bischi", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Quantitative Finance", } @Article{Mandelbrot:2001:SFPb, author = "Beno{\^\i}t B. Mandelbrot", title = "Scaling in financial prices. {II}. {Multifractals} and the star equation", journal = j-QUANT-FINANCE, volume = "1", number = "1", pages = "124--130", month = "????", year = "2001", CODEN = "QFUIAV", DOI = "http://dx.doi.org/10.1088/1469-7688/1/1/309", ISSN = "1469-7688 (print), 1469-7696 (electronic)", ISSN-L = "1469-7688", MRclass = "91B28 (91B02)", MRnumber = "1810019 (2001m:91096)", MRreviewer = "Gian-Italo Bischi", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Quantitative Finance", } @Article{Mandelbrot:2001:SVP, author = "Beno{\^\i}t B. Mandelbrot", title = "Stochastic volatility, power laws and long memory. Comment on: {``Stochastic volatility as a simple generator of apparent financial power laws and long memory'' [Quant. Finance {\bf 1} (2001), no. 6, 621--631; 1 870 018] by B. LeBaron}", journal = j-QUANT-FINANCE, volume = "1", number = "6", pages = "558--559", month = "????", year = "2001", CODEN = "QFUIAV", DOI = "http://dx.doi.org/10.1088/1469-7688/1/6/603", ISSN = "1469-7688 (print), 1469-7696 (electronic)", ISSN-L = "1469-7688", MRclass = "91B84", MRnumber = "1870013", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Quantitative Finance", } @InCollection{Mandelbrot:2001:TFM, author = "Beno{\^\i}t B. Mandelbrot", booktitle = "Challenges for the 21st century ({Singapore}, 2000)", title = "Topics on fractals in mathematics and physics", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "461--478", year = "2001", MRclass = "28A80 (60J65)", MRnumber = "1875031 (2002j:28017)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0997.28004", acknowledgement = ack-nhfb, } @Article{Barral:2002:MPC, author = "Julien Barral and Beno{\^\i}t B. Mandelbrot", title = "Multifractal products of cylindrical pulses", journal = j-PROBAB-THEORY-RELAT-FIELDS, volume = "124", number = "3", pages = "409--430", month = "????", year = "2002", CODEN = "PTRFEU", DOI = "http://dx.doi.org/10.1007/s004400200220", ISSN = "0178-8051 (print), 1432-2064 (electronic)", ISSN-L = "0178-8051", MRclass = "28A80 (60G18 60G48 60G55 60G57)", MRnumber = "1939653 (2004g:28005)", MRreviewer = "Ren{\'e} L. Schilling", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/ggbdvw9n6bh590up/", ZMnumber = "Zbl 1014.60042", acknowledgement = ack-nhfb, fjournal = "Probability Theory and Related Fields", } @InCollection{Frame:2002:PFT, author = "Michael Frame and Beno{\^\i}t Mandelbrot", title = "Panorama of fractals and their uses: an alphabetic wordbook-index", crossref = "Frame:2002:FGM", pages = "??--??", year = "2002", bibdate = "Tue Sep 11 09:13:19 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mandelbrot:2002:AGR, author = "Beno{\^\i}t B. Mandelbrot and Boaz Kol and Amnon Aharony", title = "Angular Gaps in Radial Diffusion-Limited Aggregation: Two Fractal Dimensions and Nontransient Deviations from Linear Self-Similarity", journal = j-PHYS-REV-LET, volume = "88", pages = "055501--??", year = "2002", CODEN = "PRLTAO", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRL/v88/e055501", acknowledgement = ack-nhfb, fjournal = "Physical Review Letters", } @InCollection{Mandelbrot:2002:FRA, author = "Beno{\^\i}t Mandelbrot", title = "The fractal ring from art to art through mathematics, finance, and the sciences", crossref = "Frame:2002:FGM", pages = "??--??", year = "2002", bibdate = "Tue Sep 11 09:13:19 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Book{Mandelbrot:2002:GSA, author = "Beno{\^\i}t B. Mandelbrot", title = "{Gaussian} self-affinity and fractals: Globality, the earth, $1/f$ noise, and {$R/S$}. {Selecta} (old or new) Volume {H}", publisher = pub-SV, address = pub-SV:adr, pages = "x + 654", year = "2002", ISBN = "0-387-98993-5", ISBN-13 = "978-0-387-98993-8", LCCN = "QA614.86 .M24 2001", MRclass = "01A75 (28A80 37A99 60J60 60J65 82B31)", MRnumber = "1878884 (2003a:01026)", MRreviewer = "Mich{\`e}le Mastrangelo-Dehen", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "With contributions by F. J. Damerau, M. Frame, K. McCamy, J. W. Van Ness, J. R. Wallis, and others.", series = "Selected Works of Beno{\^\i}t B. Mandelbrot", ZMnumber = "Zbl 1007.01020", acknowledgement = ack-nhfb, short-tableofcontents = "Advances in Old But Open Topics \\ Broad Continuing Issues \\ Introductions from the 1960s \\ Fractional Brownian Motions \\ Fractional Brownian Surfaces \\ Self-Affine Cartoons in Grids --- Their Multiple Fractal Dimensions \\ R/S Analysis and Its Uses", tableofcontents = "Overview of fractals and multifractals (2000) \\ I: Advances in Old but Open Topics (2000) \\ 1: Tile self-affinity: close-up on a versatile family (2000) \\ 2: Steps toward a definition of self-affine functions (2000) \\ 3: Fractal dimensions of Wiener Brownian motion, random walk, and their clusters: 2, 3/2, 4/3, 1, and the new ``transient'' 5/3 (2000) \\ 4: Still growing Weierstrass family of functions (M 1982F, 2000) \\ 5: Iso- and heterodiffusion, and statistics using the bridge range; mesodiffusion (2000) \\ 6: Diffusion self-affine fractal functions: their stationarity in logarithmic time (2000) \\ II: Broad Continuing Issues (2000) \\ 7: Experimental power-laws suggest that self-affine scaling is ubiquitous in nature (2000) \\ 8: Recorded history and personal recollections (2000) \\ III: Introductions from the 1960s \\ 9: Self-affinity and Hurst's law (M 1965h) \\ 10: Noah, Joseph and operational hydrology (M and Wallis 1968) \\ IV: Fractional Brownian Motions \\ 11: Fractional Brownian motions, fractional noises and applications (M and Van Ness 1968) Appendix (2000) \\ 12: Computer experiments with fractional Gaussian noises. Part 1: Sample graphs, averages and variance (M and Wallis 1969a) \\ 13: Computer experiments with fractional Gaussian noises: Part 2: Rescaled bridge ranges and ``pox diagrams'' (M and Wallis 1969a) \\ 14: Computer experiments with fractional Gaussian noises. Part 3: Mathematical appendix (M and Wallis 1969a) \\ 15: Fast fractional Gaussian noise generator (M 1971f) \\ 16: Broken-line approximation to fractional noise (M 1972o) \\ V: Fractional Brownian Surfaces \\ 17: Poisson approximation of the multi-temporal Brownian functions and generalizations (M 1975b) \\ 18: Geometry of homogeneous scalar turbulence: iso-surface fractal dimensions 5/2 and 8/3 (M 1975f) \\ 19: Earth's relief, shape and fractal dimension of coastlines, and number-area rule for islands (M 1975w)\\ 20: Midpoint displacement cartoon surfaces (M 1988p) \\ VI: Self-Affine Cartoons in Grids; Their Multiple Fractal Dimensions \\ 21: Self-affinity and fractal dimension (M 1985l) \\ 22: Diagonally self-affine fractal cartoons. Part 1: Mass, box and gap dimensions, local or global (M 1986t) \\ 23: Diagonally self-affine fractal cartoons. Part 2: Length and area ``anomalies'' (M 1986t) \\ 24: Diagonally self-affine fractal cartoons. Part 3: Anomalous Hausdorff dimension and multifractal ``localization'' (M 1986t) Foreword (2000) \\ VII: R/S Analysis and Its Uses \\ 25: Robustness of R/S in measuring non-periodic global dependence (M and Wallis 1969c) \\ 26: Limit theorems on the self-normalized bridge range (M 1975z) \\ 27: Global dependence in geophysical and other records (M and Wallis 1969b) \\ 28: Secular pole motion and Chandler wobble (McCamy and M 1970) \\ 29: Clustering in a point process: intertoken histograms and R/S pox diagrams (Damerau and M 1973) \\ 30: Global (long-term) dependence in economics and finance (long foreword and excerpts from M 1969e, M 1971n, M 1972c) \\ 31: Fractal aspects of computer memories (foreword and the abstract of Voldman, M, Hoevel, Knight and Rosenfeld 1983)", } @Misc{Mandelbrot:2002:MAW, author = "Beno{\^\i}t Mandelbrot", title = "A maverick's apprenticeship. {The Wolf Prizes for Physics, Imperial College Press, 2002}", howpublished = "Web document", pages = "8", year = "2002", bibdate = "Mon Sep 10 11:15:33 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://users.math.yale.edu/~bbm3/web_pdfs/mavericksApprenticeship.pdf", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:2002:MSC, author = "Beno{\^\i}t Mandelbrot", title = "Mathematics and society in the 20th century", crossref = "Frame:2002:FGM", pages = "??--??", year = "2002", bibdate = "Tue Sep 11 09:13:19 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @InCollection{Mandelbrot:2002:SRE, author = "Beno{\^\i}t Mandelbrot and Michael Frame", title = "Some reasons for the effectiveness of fractals in mathematics education", crossref = "Frame:2002:FGM", pages = "??--??", year = "2002", bibdate = "Tue Sep 11 09:13:19 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Asikainen:2003:FGC, author = "J. Asikainen and A. Aharony and B. B. Mandelbrot and E. Rausch and J.-P. Hovi", title = "Fractal geometry of critical {Potts} clusters", journal = j-EUR-PHYS-J-B, volume = "34", number = "4", pages = "479--487", month = "????", year = "2003", CODEN = "EPJBFY", ISSN = "1434-6028 (print), 1434-6036 (electronic)", ISSN-L = "1434-6028", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/x3m42hyyg2rt88qd/", acknowledgement = ack-nhfb, fjournal = "European Physical Journal B: Condensed Matter and Complex Systems", } @Article{Barral:2003:MMM, author = "J. Barral and M.-O. Coppens and B. B. Mandelbrot", title = "Multiperiodic multifractal martingale measures", journal = j-J-MATH-PURES-APPL, volume = "82", number = "12", pages = "1555--1589", month = "????", year = "2003", CODEN = "JMPAAM", DOI = "http://dx.doi.org/10.1016/S0021-7824(03)00035-7", ISSN = "0021-7824 (print), 1776-3371 (electronic)", ISSN-L = "0021-7824", MRclass = "60G57 (28A80 37H15 60G18 60G42 60G48)", MRnumber = "2024576 (2004m:60107)", MRreviewer = "Edward C. Waymire", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 1047.28003", acknowledgement = ack-nhfb, fjournal = "Journal de Math{\'e}matiques Pures et Appliqu{\'e}es", } @InCollection{Mandelbrot:2003:F, author = "Beno{\^\i}t Mandelbrot and Michael Frame", editor = "Robert A. Meyers", booktitle = "Encyclopedia of Physical Science and Technology (Third Edition)", title = "Fractals", publisher = pub-ELS, address = pub-ELS:adr, pages = "185--207", year = "2003", DOI = "http://dx.doi.org/10.1016/B0-12-227410-5/00259-3", ISBN = "0-12-227410-5", ISBN-13 = "978-0-12-227410-7", LCCN = "????", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/B0122274105002593", acknowledgement = ack-nhfb, } @Article{Mandelbrot:2003:FSP, author = "Beno{\^\i}t B. Mandelbrot", title = "Fractal Sums of Pulses and a Practical Challenge to the Distinction Between Local and Global Dependence", journal = "Processes with Long-Range Correlations", volume = "34", number = "5--6", pages = "118--135", month = "????", year = "2003", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/q5377044322486p7/", acknowledgement = ack-nhfb, xxvolume = "621", } @InCollection{Mandelbrot:2003:HTF, author = "Beno{\^\i}t Mandelbrot", title = "Heavy tails in finance for independent or multifractal price increments", crossref = "Rachev:2003:HHT", pages = "1--34", year = "2003", DOI = "http://dx.doi.org/10.1016/B978-044450896-6.50003-0", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/B9780444508966500030", acknowledgement = ack-nhfb, } @Article{Mandelbrot:2003:MMM, author = "Beno{\^\i}t Mandelbrot", title = "Multiperiodic multifractal martingale measures", journal = j-J-MATH-PURES-APPL, volume = "82", number = "12", pages = "1555--1589", month = dec, year = "2003", CODEN = "JMPAAM", DOI = "http://dx.doi.org/10.1016/S0021-7824(03)00035-7", ISSN = "0021-7824 (print), 1776-3371 (electronic)", ISSN-L = "0021-7824", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021782403000357", acknowledgement = ack-nhfb, fjournal = "Journal de Math{\'e}matiques Pures et Appliqu{\'e}es", } @Article{Mandelbrot:2003:MPL, author = "Beno{\^\i}t B. Mandelbrot", title = "Multifractal power law distributions: negative and critical dimensions and other ``anomalies,'' explained by a simple example", journal = j-J-STAT-PHYS, volume = "110", number = "3--6", pages = "739--774", month = "????", year = "2003", CODEN = "JSTPSB", DOI = "http://dx.doi.org/10.1023/A:1022159802564", ISSN = "0022-4715 (print), 1572-9613 (electronic)", ISSN-L = "0022-4715", MRclass = "28A80 (28A78 37A50 37A60 60D05)", MRnumber = "1964688 (2004g:28008)", MRreviewer = "Irene Hueter", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Special issue in honor of Michael E. Fisher's 70th birthday (Piscataway, NJ, 2001)", URL = "http://www.springerlink.com/content/j20k474mu4063439/", ZMnumber = "Zbl 1026.28007", acknowledgement = ack-nhfb, fjournal = "Journal of Statistical Physics", } @InCollection{Barral:2004:IIP, author = "Julien Barral and Beno{\^\i}t B. Mandelbrot", booktitle = "Fractal geometry and applications: a jubilee of {Beno{\^\i}t Mandelbrot}, {Part} 2", title = "Introduction to infinite products of independent random functions ({Random} multiplicative multifractal measures. {I})", volume = "72", publisher = pub-AMS, address = pub-AMS:adr, pages = "3--16", year = "2004", MRclass = "28A80 (60G18 60G44 60G55 60G57)", MRnumber = "2112119 (2005i:28013)", MRreviewer = "Peter R. Massopust", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Proc. Sympos. Pure Math.", acknowledgement = ack-nhfb, } @InCollection{Barral:2004:NDM, author = "Julien Barral and Beno{\^\i}t B. Mandelbrot", title = "Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures ({Random} multiplicative multifractal measures. {II})", crossref = "Lapidus:2004:FGAb", volume = "72", publisher = pub-AMS, address = pub-AMS:adr, pages = "17--52", year = "2004", MRclass = "28A80 (60G18 60G44 60G55 60G57)", MRnumber = "2112120 (2005i:28014)", MRreviewer = "Peter R. Massopust", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Proc. Sympos. Pure Math.", acknowledgement = ack-nhfb, } @InCollection{Barral:2004:PIM, author = "J. Barral and Beno{\^\i}t B. Mandelbrot", title = "{Part II}: Multifractals: Introduction to infinite products of independent random functions (Random multiplicative multifractal measures, part {I})", crossref = "Lapidus:2004:FGAb", pages = "??--??", year = "2004", bibdate = "Tue Sep 11 08:54:03 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Book{Mandelbrot:2004:FCM, author = "Beno{\^\i}t B. Mandelbrot", title = "Fractals and chaos: the {Mandelbrot} set and beyond. {Selecta} Volume {C}.", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 308", year = "2004", ISBN = "0-387-20158-0", ISBN-13 = "978-0-387-20158-0", LCCN = "QA614.86 .M23 2004", MRclass = "01A75 (28A80 37D45 37F45 37F50)", MRnumber = "2029233 (2005b:01054)", MRreviewer = "M. Z{\"a}hle", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "With a foreword by P. W. Jones and texts co-authored by C. J. G. Evertsz and M. C. Gutzwiller.", series = "Selected Works of Beno{\^\i}t B. Mandelbrot", acknowledgement = ack-nhfb, tableofcontents = "Foreword / Peter W. Jones \\ I: Quadratic Julia and Mandelbrot Sets \\ Introduction to papers on quadratic dynamics: a progression from seeing to discovering \\ Acknowledgments related to quadratic dynamics \\ Fractal aspects of the iteration of $\to \lambda z (1 - z)$ for complex $\lambda$ and $z$ (M1980n) \\ Cantor and Fatou dusts ; self-squared dragons (M 1982F) \\ The complex quadratic map and its M-set (M1983p) \\ Bifurcation points and the ``$n$ squared'' approximation and conjecture (M1985g), illustrated by M. L. Frame and K. Mitchell \\ The ``normalized radical'' of the M-set (M1985g) \\ The boundary of the M-set is of dimension 2 (M1985g) \\ Certain Julia sets include smooth components (M1985g) \\ Domain-filling sequences of Julia sets, and intuitive rationale for the Siegel discs (M1985g) \\ Continuous interpolation of the quadratic map and intrinsic tiling of the interiors of Julia sets (M1985n) \\ II: Nonquadratic Rational Dynamics \\ Introduction to chaos in nonquadratic dynamics: rational functions devised from doubling formulas \\ The map $\to \lambda (z + 1 / z)$ and roughening of chaos from linear to planar (computer-assisted homage to K. Hokusai) (M1984k) \\ Two nonquadratic rational maps, devised from Weierstrass doubling formulas (1979--2003) \\ III: Iterated Nonlinear Function Systems and the Fractal Limit Sets of Kleinian Groups \\ Introduction to papers on Kleinian groups, their fractal limit sets, the IFS: history, recollections, and acknowledgments (2003) \\ Self-inverse fractals, Apollonian nets, and soap (M 1982F) \\ Symmetry by dilation or reduction, fractals, roughness (M2002w) \\ Self-inverse fractals osculated by sigma-discs and limit sets of inversion (``Kleinian'') groups (M1983m) \\ IV: Multifractal Invariant Measures \\ Introduction to measures that vanish exponentially almost everywhere: DLA and Minkowski-invariant multifractal measures in chaotic Hamiltonian systems and related structures (Gutzwiller and M 1988) \\ The Minkowski measure and multifractal anomalies in invariant measures of parabolic dynamic systems (M1993s) \\ Harmonic measure on DLA and extended self-similarity (M and Evertsz 1991) \\ V: Background and History \\ The inexhaustible function $z$ squared plus $c$ (1982--2003) \\ The Fatou and Julia stories \\ Mathematical analysis while in the wilderness (2003)", } @Book{Mandelbrot:2004:MBM, author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson", title = "The (mis)behavior of markets: a fractal view of risk, ruin, and reward", publisher = pub-BASIC-BOOKS, address = pub-BASIC-BOOKS:adr, pages = "xxiv + 328", year = "2004", ISBN = "0-465-04355-0, 0-465-04357-7 (paperback)", ISBN-13 = "978-0-465-04355-2, 978-0-465-04357-6 (paperback)", LCCN = "HG4523 .M257 2004", MRclass = "91-01 (28-01 28A80 91B28 91B30)", MRnumber = "2100767 (2005g:91004)", bibdate = "Sat Sep 8 15:31:04 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", note = "A fractal view of risk, ruin, and reward", URL = "http://www.loc.gov/catdir/enhancements/fy0830/2004011400-b.html; http://www.loc.gov/catdir/enhancements/fy0830/2004011400-d.html", acknowledgement = ack-nhfb, subject = "Capital market; Investment analysis; Stocks; Prices; Securities; Risk management", tableofcontents = "I: Risk, ruin, and reward \\ II: By the toss of a coin or the flight of an arrow? \\ III: Bachelier and his legacy \\ IV: The house of modern finance \\ V: The case against the modern theory of finance \\ VI: Turbulent markets: a preview \\ VII: Studies in roughness: a fractal primer \\ VIII: The mystery of cotton \\ IX: Long memory, from the Nile to the marketplace \\ X: Noah, Joseph and market bubbles \\ XI: The multifractal nature of trading time \\ XII: Ten heresies of finance \\ XIII: In the lab", } @Book{Mandelbrot:2004:MMF, author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson", title = "The misbehaviour of markets: a fractal view of risk, ruin and reward", publisher = "Profile", address = "London, UK", pages = "xxiv + 328", year = "2004", ISBN = "1-86197-765-4 (hardcover)", ISBN-13 = "978-1-86197-765-6 (hardcover)", LCCN = "????", bibdate = "Sat Sep 8 15:45:07 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; library.ox.ac.uk:210/ADVANCE", price = "\pounds 18.99", acknowledgement = ack-nhfb, subject = "Capital market; Investment analysis; Stocks; Prices; Securities; Risk management", } @InProceedings{Mandelbrot:2004:STM, author = "Beno{\^\i}t B. Mandelbrot", title = "Selected topics in mathematics, physics, and finance originating in fractal geometry", crossref = "Novak:2004:TPF", pages = "1--33", year = "2004", MRclass = "00-02 (28A80 82B99 82C99 91B28)", MRnumber = "2170377 (2006f:00001)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Grunwald:2005:BRB, author = "Eric Grunwald", title = "Book Review: {Beno{\^\i}t Mandelbrot and Richard L. Hudson, \booktitle{The (mis)behaviour of markets}}", journal = j-MATH-INTEL, volume = "27", number = "3", pages = "77--79", month = sep, year = "2005", CODEN = "MAINDC", DOI = "http://dx.doi.org/10.1007/BF02985848", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/32551765mu871utp/", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", } @Book{Mandelbrot:2005:AFM, author = "Beno{\^\i}t B. Mandelbrot and Richard. L. Hudson", title = "Une approche fractale des march{\'e}s: risquer, perdre et gagner. ({French}) [{A} fractal approach to markets: risk, ruin, and reward]", publisher = "O. Jacob", address = "Paris, France", pages = "361", year = "2005", ISBN = "2-7381-1536-5 (paperback)", ISBN-13 = "978-2-7381-1536-2 (paperback)", LCCN = "????", bibdate = "Sat Sep 8 15:45:31 MDT 2012", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Translated by Marcel Filoche from the American edition \cite{Mandelbrot:2004:MBM}.", acknowledgement = ack-nhfb, language = "French", } @Book{Mandelbrot:2005:FFM, author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson", title = "{Fraktale und Finanzen. M{\"a}rkte zwischen Risiko, Rendite und Ruin}. ({German}) [{Fractals} and finance. {Markets} between risk, reward and ruin]", publisher = "Piper", address = "M{\"u}nchen, Germany", year = "2005", ISBN = "3-492-04632-0", ISBN-13 = "978-3-492-04632-9", LCCN = "????", bibdate = "Sat Sep 8 12:12:43 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Translation by Helmut Reuter of \cite{Mandelbrot:2004:MBM}.", ZMnumber = "Zbl 1141.91018", acknowledgement = ack-nhfb, classmath = "{91B28 (Finance etc.) 91-01 (Instructional exposition (Social and behavioral sciences)) 28-01 (Textbooks (measure and integration)) 28A80 (Fractals) }", language = "German", remark = "See the review of the English edition (2004) in Zbl 1140.91004.", } @Article{Mandelbrot:2005:INF, author = "Beno{\^\i}t B. Mandelbrot", title = "The inescapable need for fractal tools in finance", journal = "Annals of Finance", volume = "1", number = "2", pages = "193--195", month = "????", year = "2005", CODEN = "????", DOI = "http://dx.doi.org/10.1007/s10436-004-0008-1", ISSN = "????", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/7ghf995yeq7k5mtq/", ZMnumber = "Zbl 1233.91345", abstract = "This short paper advances and defends a strong statement concerning financial modeling. It argues that, even when the present fractal models become superseded, fractal tools are bound to remain central to finance. The reasons are that the main feature of price records is roughness and that the proper language of the theory of roughness in nature and culture is fractal geometry.", acknowledgement = ack-nhfb, ajournal = "Ann. Finance", classmath = "91G99 (Mathematical finance)", keywords = "financial prices; fractal; multifractal; roughness", } @Book{Mandelbrot:2005:MBM, author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson", title = "The (mis)behaviour of markets: a fractal view of risk, ruin, and reward", publisher = "Profile Books", address = "London, UK", pages = "xxiv + 328", year = "2005", ISBN = "1-86197-790-5", ISBN-13 = "978-1-86197-790-8", LCCN = "HG4523", bibdate = "Sat Sep 8 15:34:59 MDT 2012", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", } @Article{Mandelbrot:2005:PCF, author = "Beno{\^\i}t B. Mandelbrot", title = "Parallel cartoons of fractal models of finance", journal = "Annals of Finance", volume = "1", number = "2", pages = "179--192", month = "????", year = "2005", CODEN = "????", DOI = "http://dx.doi.org/10.1007/s10436-004-0007-2", ISSN = "????", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/j5fcgq4kmntgtkum/", ZMnumber = "Zbl 1233.91344", acknowledgement = ack-nhfb, ajournal = "Ann. Finance", classmath = "91G99 (Mathematical finance)", keywords = "cartoons; financial prices; fractal; multifractal; roughness", } @Article{Mandelbrot:2006:BM, author = "Beno{\^\i}t Mandelbrot", title = "{Beno{\^\i}t Mandelbrot}", journal = j-NEW-SCIENTIST, volume = "192", number = "2578", pages = "72--72", day = "18", month = nov, year = "2006", CODEN = "NWSCAL", DOI = "http://dx.doi.org/10.1016/S0262-4079(06)61145-7", ISSN = "0262-4079 (print), 1364-8500 (electronic)", ISSN-L = "0262-4079", bibdate = "Sat Sep 8 16:48:41 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0262407906611457", acknowledgement = ack-nhfb, fjournal = "New Scientist", } @InProceedings{Mandelbrot:2006:FASa, author = "Beno{\^\i}t Mandelbrot", title = "Fractal analysis and synthesis of fracture surface roughness and related forms of complexity and disorder", crossref = "Carpinteri:2006:IHP", pages = "13--17", year = "2006", DOI = "http://dx.doi.org/10.1007/978-1-4020-5423-5_3", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/up4521397545ruw7/", acknowledgement = ack-nhfb, } @Article{Mandelbrot:2006:FASb, author = "Beno{\^\i}t B. Mandelbrot", title = "Fractal Analysis and Synthesis of Fracture Surface Roughness and Related Forms of Complexity and Disorder", journal = j-INT-J-FRACTURE, volume = "138", number = "1--4", pages = "13--17", month = "????", year = "2006", CODEN = "IJFRAP", ISSN = "0376-9429 (print), 1573-2673 (electronic)", ISSN-L = "0376-9429", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/p017550250307256/", acknowledgement = ack-nhfb, fjournal = "International Journal of Fracture", } @Article{Mandelbrot:2007:SSS, author = "Beno{\^\i}t B. Mandelbrot", title = "Scalebound or Scaling Shapes: a Useful Distinction in the Visual Arts and in the Natural Sciences", journal = j-LEONARDO, volume = "40", number = "5", pages = "494--496", month = "????", year = "2007", CODEN = "LEONDP", ISSN = "0024-094X (print), 1530-9282 (electronic)", ISSN-L = "0024-094X", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Leonardo (Oxford, England)", } @Book{Mandelbrot:2008:FFM, author = "Beno{\^\i}t B. Mandelbrot and Richard L. Author Hudson", title = "{Fraktale und Finanzen: M{\"a}rkte zwischen Risiko, Rendite und Ruin}. ({German}) [{Fractals} and finance. {Markets} between risk, reward and ruin]", volume = "4861", publisher = "Piper", address = "M{\"u}nchen, Germany", edition = "Second", pages = "445", year = "2008", ISBN = "3-492-24861-6", ISBN-13 = "978-3-492-24861-7", LCCN = "????", bibdate = "Sat Sep 8 15:45:25 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.gbv.de:20011/gvk", price = "EUR 12.95 (DE)", series = "Serie Piper", URL = "http://www.gbv.de/dms/zbw/511599846.pdf", acknowledgement = ack-nhfb, language = "German", } @Book{Mandelbrot:2008:FVD, author = "Beno{\^\i}t Mandelbrot", title = "{Fraktale: die verborgene Dimension}. ({German}) [{Fractals}: the hidden dimension]", publisher = "Komplett-Media", address = "Gr{\"u}nwald, Germany", year = "2008", ISBN = "3-8312-9945-5", ISBN-13 = "978-3-8312-9945-4", LCCN = "????", bibdate = "Sat Sep 8 15:45:25 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.gbv.de:20011/gvk", note = "1 video DVD (54 min.). Produced by Michael Schwarz.", acknowledgement = ack-nhfb, language = "German", } @Book{Mandelbrot:2008:MBM, author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson", title = "The (Mis)Behaviour of Markets: a Fractal View of Risk, Ruin and Reward", publisher = "Profile", address = "London, UK", pages = "353", year = "2008", ISBN = "1-84668-262-2, 1-84765-155-0", ISBN-13 = "978-1-84668-262-9, 978-1-84765-155-6", LCCN = "HG4523 .M257 2008", bibdate = "Sat Sep 8 15:45:25 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.gbv.de:20011/gvk", URL = "http://www.gbv.eblib.com/patron/FullRecord.aspx?p=584650; http://www.loc.gov/catdir/toc/fy0905/2009437381.html", abstract = "This international bestseller, which foreshadowed a market crash, explains why it could happen again if we don't act now. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf or static in a computer connection to a few simple mathematical properties. With his fractal tools, Mandelbrot has got to the bottom of how financial markets really work. He finds they have a shifting sense of time and wild behaviour that makes them volatile, dangerous --- and beautiful. In his models, the complex gyrations of the FTSE 100 and exchange rates can be reduced to straight.", acknowledgement = ack-nhfb, remark = "Description based upon print version of record.", subject = "Capital market; Investment analysis; Stocks; Prices; Securities; Risk management", tableofcontents = "Contents \\ Abstract \\ Acknowledgments \\ Preface \\ Prelude: Introducing a Maverick in Science \\ Part I. The Old Way \\ Part II. The New Way \\ Part III. The Way Ahead \\ Notes \\ Bibliography \\ Index", } @Article{Barral:2009:FMP, author = "Julien Barral and Beno{\^\i}t Mandelbrot", title = "Fractional multiplicative processes", journal = "Ann. Inst. Henri Poincar{\'e} Probab. Stat.", volume = "45", number = "4", pages = "1116--1129", month = "????", year = "2009", CODEN = "????", DOI = "http://dx.doi.org/10.1214/08-AIHP198", ISSN = "0246-0203", MRclass = "60G18 (28A78 60F05 60F15 60F17 60G42)", MRnumber = "2572167 (2011b:60142)", MRreviewer = "Ren{\'e} L. Schilling", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 1201.60035", acknowledgement = ack-nhfb, fjournal = "Annales de l'Institut Henri Poincar{\'e} Probabilit{\'e}s et Statistiques", } @Book{Mandelbrot:2009:AFM, author = "Beno{\^\i}t B. Mandelbrot and Richard. L. Hudson", title = "Une approche fractale des march{\'e}s: risquer, perdre et gagner. ({French}) [{A} fractal approach to markets: risk, ruin, and reward]", publisher = "O. Jacob", address = "Paris, France", edition = "New", pages = "v + 361", year = "2009", LCCN = "????", bibdate = "Sat Sep 8 15:45:31 MDT 2012", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Translated by Marcel Filoche from the American edition \cite{Mandelbrot:2004:MBM}.", acknowledgement = ack-nhfb, language = "French", } @Book{Mandelbrot:2009:FHF, author = "Beno{\^\i}t B. Mandelbrot", title = "Fractales, hasard et finance: 1959--1997. ({French}) [Fractals, chance, and finance: 1959--1997]", publisher = "Flammarion", address = "Paris, France", pages = "246", year = "2009", LCCN = "????", bibdate = "Sat Sep 8 15:45:31 MDT 2012", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, language = "French", } @Book{Mandelbrot:2009:FMG, author = "Beno{\^\i}t B. Mandelbrot", title = "The fractalist: memoir of a geometer", publisher = pub-PANTHEON, address = pub-PANTHEON:adr, pages = "????", year = "2009", ISBN = "0-307-37735-0", ISBN-13 = "978-0-307-37735-7", LCCN = "QA29.M34 A3 2009", bibdate = "Sat Sep 8 15:40:11 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Mandelbrot, Beno{\^\i}t B; Mathematicians; France; Biography; United States; Fractals", tableofcontents = "Chance, then free choice, shape a living, fast evolving, and ceaselessly wandering fossil \\ Unrelated deeds or a unified fractal approach to roughness? \\ Could the Mandelbrot set really be the most complex object in the whole of mathematics? \\ Roots, of flesh and the mind \\ Child in Warsaw (1924--36) \\ Long summer in today's Belarus \\ Adolescent in Paris (1936--9) \\ Muddling through ``Vichy,'' ``unoccupied'' France, in dirt-poor and forsaken hills (1939--43) \\ In Lyon : tightening occupation and self-discovery (1943--4) \\ Paris : exam hell, agony of choice, \'Ecole normale (1944--5) \\ Paris : a (rare) foreign student at \'Ecole polytechnique (1945--7) \\ Pasadena : student at Caltech during a Golden Age (1947--9) \\ French air force engineers : reserve officer training (1949--50) \\ Growing addiction to classical music, voice, and opera \\ Paris : ``doctorand'' and employee of Philips Electronics (1950--2) \\ Modest first Kepler moment : mastering the unevenness of word frequencies (1951) \\ No longer a promising youth, yet still seeking role models far away : Wiener, Von Neumann, Kac, Feller \\ Apprentice on a grand tour through varied cities and guilds : Cambridge, MA, Princeton, Geneva \\ After a year as a French academic, an underachieving and restless maverick pulls roots (1957--58)-- Rise to the rank of IBM fellow at IBM research, during its brilliant golden age in science (1958--93) \\ Itinerant teacher : of economics then engineering at Harvard and later of mathematics at Harvard then Yale \\ A firebrand newcomer to economics teaches controversial finance at Harvard (1962--3) \\ Based at IBM, but ceaselessly moving, back and forth, drawn from one place, mystery, or field to another (1964--79) \\ Writing the fractal geometry of nature and pondering my future and that of fractal geometry as a discipline \\ At Yale, rising --- aged seventy-five --- to tenure at this university's highest rank, Sterling Professorship (1987--2004)", } @Article{Mandelbrot:2009:NMS, author = "Beno{\^\i}t B. Mandelbrot", title = "{``New Methods of Statistical Economics,''} revisited: Short versus long tails and {Gaussian} versus power-law distributions", journal = "Complexity", volume = "14", number = "3", pages = "55--65", month = jan, year = "2009", CODEN = "????", DOI = "http://dx.doi.org/10.1002/cplx.20264", ISSN = "????", bibdate = "Sat Sep 8 19:03:53 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, onlinedate = "25 Nov 2008", } @Article{Mandelbrot:2009:PNT, author = "Beno{\^\i}t B. Mandelbrot and Michael Frame", title = "A primer of negative test dimensions and degrees of emptiness for latent sets", journal = j-FRACTALS, volume = "17", number = "1", pages = "1--14", month = "????", year = "2009", CODEN = "FRACEG", DOI = "http://dx.doi.org/10.1142/S0218348X09004211", ISSN = "0218-348X", MRclass = "28A80 (60G18)", MRnumber = "2498744 (2010i:28014)", MRreviewer = "Raby Guerbaz", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 1168.28005", acknowledgement = ack-nhfb, fjournal = "Fractals. Complex Geometry, Patterns, and Scaling in Nature and Society", } @Article{Barral:2010:CCM, author = "Julien Barral and Xiong Jin and Beno{\^\i}t Mandelbrot", title = "Convergence of complex multiplicative cascades", journal = j-ANN-APPL-PROBAB, volume = "20", number = "4", pages = "1219--1252", month = "????", year = "2010", CODEN = "????", DOI = "http://dx.doi.org/10.1214/09-AAP665", ISSN = "1050-5164", MRclass = "60F05 (28A78 60F15 60F17 60G18 60G42)", MRnumber = "2676938 (2011d:60069)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 1221.60028", acknowledgement = ack-nhfb, fjournal = "The Annals of Applied Probability", } @Article{Barral:2010:UCC, author = "Julien Barral and Xiong Jin and Beno{\^\i}t Mandelbrot", title = "Uniform convergence for complex {$[0,1]$}-martingales", journal = j-ANN-APPL-PROBAB, volume = "20", number = "4", pages = "1205--1218", month = "????", year = "2010", CODEN = "????", DOI = "http://dx.doi.org/10.1214/09-AAP664", ISSN = "1050-5164", MRclass = "60G18 (28A78 60F15 60G22 60G42 60G44)", MRnumber = "2676937 (2011h:60084)", MRreviewer = "Sreenivasan Ravi", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 1208.60035", acknowledgement = ack-nhfb, fjournal = "The Annals of Applied Probability", } @InCollection{Mandelbrot:2010:FFF, author = "Beno{\^\i}t Mandelbrot", title = "Fractal Financial Fluctuations", crossref = "Lesmoir-Gordon:2010:CIB", chapter = "7", pages = "120--134", month = "????", year = "2010", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/h8w32018354n747q/", acknowledgement = ack-nhfb, xxnumber = "5--6", xxvolume = "34", xxvolume = "621", } @InCollection{Mandelbrot:2010:GAI, author = "Beno{\^\i}t Mandelbrot", title = "A Geometry Able to Include Mountains and Clouds", crossref = "Lesmoir-Gordon:2010:CIB", chapter = "3", pages = "38--57", year = "2010", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/h535l123uh2t6643/", acknowledgement = ack-nhfb, xxnumber = "3", xxvolume = "33", } @InCollection{Mandelbrot:2010:MVW, author = "Beno{\^\i}t B. Mandelbrot and Nassim Nicholas Taleb", title = "Mild vs. wild randomness: focusing on those risks that matter", crossref = "Diebold:2010:KUU", pages = "47--58", year = "2010", LCCN = "????", bibdate = "Sat Sep 8 15:45:25 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.gbv.de:20011/gvk", acknowledgement = ack-nhfb, } @Book{Mandelbrot:2010:OFF, author = "Beno{\^\i}t B. Mandelbrot", title = "Les objets fractals: Forme, hasard et dimension. ({French}) [Fractal objects: form, chance, and dimension]", publisher = "Flammarion", address = "Paris, France", pages = "212", year = "2010", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Sep 8 15:45:31 MDT 2012", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, language = "French", } @Misc{Mandelbrot:2012:BMP, author = "Beno{\^\i}t B. Mandelbrot", title = "{Beno{\^\i}t Mandelbrot} papers, 1932--2010", year = "2012", LCCN = "M1857", bibdate = "Sat Sep 8 15:40:34 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; jenson.stanford.edu:2210/unicorn", note = "Circa 380 linear feet.", abstract = "Notes, writings, correspondence, records, research reports and documentation, photographs, slides, calendars, audiovisual media, computer files, and publications relating to Mandelbrot's education and professional career and work in several organizations, principally at the Thomas J. Watson Research Center in the International Business Machines Corporation (IBM) and at Yale University.", acknowledgement = ack-nhfb, remark = "The collection is closed until processed. Gift of Aliette Mandelbrot, 2011 and 2012.", subject = "Mandelbrot, Beno{\^\i}t B", } %%% ==================================================================== %%% Part 2 (of 2) --- Publications about Beno{\^\i}t Mandelbrot and his %%% works %%% %%% Because the numbers of publications that discuss fractals is large %%% certainly many thousands --- this section can only give a flavor of %%% the breadth of impact of Mandelbrot's work on fractals. %%% %%% Entries are sorted by year, and then by citation label: @Article{Fatou:1917:SRb, author = "Pierre Fatou", title = "Sur les substitutions rationnelles. ({French}) [{On} rational substitutions]", journal = j-C-R-ACAD-SCI-PARIS, volume = "165", number = "??", pages = "992--995", month = "????", year = "1917", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 08:34:27 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", } @Article{Fatou:1917:SRFa, author = "Pierre Fatou", title = "Sur les substitutions rationnelles. ({French}) [{On} rational substitutions]", journal = j-C-R-ACAD-SCI-PARIS, volume = "164", number = "??", pages = "806--808", month = "????", year = "1917", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 08:34:27 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris", language = "French", } @Article{Julia:1918:MIF, author = "Gaston Julia", title = "{M{\'e}moire} sur l'iteration des fonctions rationnelles. ({French}) [{Memoir} on the iteration of rational functions]", journal = j-J-MATH-PURES-APPL, volume = "8", number = "??", pages = "47--245", month = "????", year = "1918", CODEN = "JMPAAM", ISSN = "0021-7824 (print), 1776-3371 (electronic)", ISSN-L = "0021-7824", bibdate = "Mon Sep 10 08:36:52 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Journal de Math{\'e}matiques Pures et Appliqu{\'e}es", language = "French", } @Article{Cohen:1953:RBF, author = "Marcel Cohen and Andr{\'e}-G. Haudricourt and Maxime Rodinson", title = "Review: {{\booktitle{Structure formelle des textes et Communication, dans word, vol 10}} by Beno{\^\i}t Mandelbrot; L'ing{\'e}nieur en tant que strat{\'e}ge: the{\'e}ories du comportement. Une d{\'e}finition de la cybern{\'e}tique; applications linguistiques. Extraits de la Revue g{\'e}n{\'e}rale des Sciences, t. LXII, nos 9-10, 1955 by Beno{\^\i}t Mandelbrot}", journal = "L'Ann{\'e}e sociologique (1940/1948-), Troisi{\`e}me S{\'e}rie", volume = "7", number = "??", pages = "501--502", month = "????", year = "1953--1954", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27885319", acknowledgement = ack-nhfb, } @Article{Simon:1955:CSD, author = "Herbert A. Simon", title = "On a Class of Skew Distribution Functions", journal = j-BIOMETRIKA, volume = "42", number = "3--4", pages = "425--440", month = dec, year = "1955", CODEN = "BIOKAX", ISSN = "0006-3444 (print), 1464-3510 (electronic)", ISSN-L = "0006-3444", bibdate = "Tue Nov 15 10:08:58 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://www.jstor.org/stable/2333389", acknowledgement = ack-nhfb, fjournal = "Biometrika", keywords = "distribution of income; distribution of species among genera; distributions of city populations; distributions of document word frequencies; distributions of scientific publication counts; Zipf's Law", remark = "This work is an extension of Yule's work \cite{Yule:1925:MTE}. See discussion \cite{Mandelbrot:1959:NCS} and comments \cite{Mitzenmacher:2003:BHG}.", } @Article{Cohen:1957:RBL, author = "Marcel Cohen and David Cohen", title = "Review: {{\booktitle{Logique, langage et th{\'e}orie de l'information}}, by L. Apostel, B. Mandelbrot, A. Morf}", journal = "L'Ann{\'e}e sociologique (1940/1948-), Troisi{\`e}me S{\'e}rie", volume = "9", number = "??", pages = "508--509", month = "????", year = "1957--1958", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27885595", acknowledgement = ack-nhfb, } @Article{Devooght:1957:LZM, author = "J. Devooght", title = "Sur la loi de {Zipf--Mandelbrot}. ({French}) [On the {Zipf--Mandelbrot} law]", journal = "Acad. Roy. Belg. Bull. Cl. Sci. (5)", volume = "43", number = "??", pages = "244--251", month = "????", year = "1957", CODEN = "????", ISSN = "0001-4141", MRclass = "94.0X", MRnumber = "0088412 (19,516a)", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "Acad{\'e}mie Royale de Belgique. Bulletin de la Classe des Sciences. Koninklijke Belgische Academie. Mededelingen van de Klasse der Wetenschappen. 5e S{\'e}rie", } @Article{Miller:1957:SEI, author = "George A. Miller", title = "Some Effects of Intermittent Silence", journal = j-AMER-J-PSYCHOLOGY, volume = "70", number = "2", pages = "311--314", month = jun, year = "1957", CODEN = "AJPCAA", ISSN = "0002-9556 (print), 1939-8298 (electronic)", ISSN-L = "0002-9556", bibdate = "Thu Feb 28 08:57:12 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1419346", acknowledgement = ack-nhfb, fjournal = "The American Journal of Psychology", keywords = "Mandelbrot; Zip's rule (law)", remark = "This paper, and another \cite{Miller:1963:FML}, are early applications of Mandelbrot's derivations of inverse power laws in information theory.", } @Book{Jonckheere:1958:LE, author = "A. Jonckheere and B. Mandelbrot et J. Piaget", title = "La lecture de l'exp{\'e}rience. ({French}) [{Reading} of experience]", volume = "5", publisher = "Presses universitaires de France", address = "Paris, France", pages = "150", year = "1958", LCCN = "BF311", bibdate = "Sat Sep 8 15:45:07 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; library.ox.ac.uk:210/ADVANCE", series = "Etudes d'{\'e}pist{\'e}mologie g{\'e}n{\'e}tique; Biblioth{\`e}que scientifique internationale", acknowledgement = ack-nhfb, language = "French", subject = "Perception", } @Article{Colnort-Bodet:1959:RBL, author = "Suzanne Colnort-Bodet", title = "Review: {{\booktitle{La lecture de l'exp{\'e}rience}}, $\ll$Bibl. sc. intern.$\gg$, {\'E}tudes d'{\'E}pist{\'e}mologie g{\'e}n{\'e}tique by (A.) Jonckheere, (B.) Mandelbrot, (J.) Piaget}", journal = "Les {\'E}tudes philosophiques", volume = "??", number = "1", pages = "85", month = jan, year = "1959", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/20842901", acknowledgement = ack-nhfb, language = "French", } @Article{Lees:1959:RBL, author = "R. B. Lees", title = "Review: {{\booktitle{Logique, langage et th{\'e}orie de l'information}} by L{\'e}o Apostel, Beno{\^\i}t Mandelbrot, Albert Morf}", journal = j-LANGUAGE, volume = "35", number = "2", pages = "271--303", month = jun, year = "1959", CODEN = "????", ISSN = "0097-8507", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/410536", acknowledgement = ack-nhfb, fjournal = "Language: journal of the Linguistic Society of America", } @Article{Simon:1960:SFN, author = "Herbert A. Simon", title = "Some further notes on a class of skew distribution functions", journal = j-INF-CONTROL, volume = "3", number = "1", pages = "80--88", month = mar, year = "1960", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(60)90302-8", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Thu Feb 28 08:28:44 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995860903028", acknowledgement = ack-nhfb, fjournal = "Information and Control", remark-1 = "This paper is one of a three-year debate between Beno{\^\i}t Mandelbrot \cite {Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF} and Herbert Simon \cite {Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.", remark-2 = "The abstract begins: ``This note takes issue with a recent criticism by Dr. B. Mandelbrot of a certain stochastic model to explain word-frequency data. Dr. Mandelbrot's principal empirical and mathematical objections to the model are shown to be unfounded.''", } @Article{Simon:1961:RDM, author = "Herbert A. Simon", title = "Reply to {Dr. Mandelbrot}'s post scriptum", journal = j-INF-CONTROL, volume = "4", number = "2--3", pages = "305--308", month = sep, year = "1961", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(61)80026-0", ISSN = "0019-9958 (print), 1878-2981 (electronic)", ISSN-L = "0019-9958", bibdate = "Thu Feb 28 08:26:47 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800260", acknowledgement = ack-nhfb, fjournal = "Information and Control", remark = "This paper is one of a three-year debate between Beno{\^\i}t Mandelbrot \cite {Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF} and Herbert Simon \cite {Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.", } @Article{Simon:1961:RFN, author = "Herbert A. Simon", title = "Reply to {``Final note''} by {Beno{\^\i}t Mandelbrot}", journal = j-INF-CONTROL, volume = "4", number = "2--3", pages = "217--223", month = sep, year = "1961", CODEN = "IFCNA4", DOI = "http://dx.doi.org/10.1016/S0019-9958(61)80009-0", ISSN = "0890-5401 (print), 1090-2651 (electronic)", ISSN-L = "0019-9958", MRclass = "62.00", MRnumber = "0135193 (24 \#B1243)", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800090", acknowledgement = ack-nhfb, fjournal = "Information and Control", remark = "This paper is one of a three-year debate between Beno{\^\i}t Mandelbrot \cite {Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF} and Herbert Simon \cite {Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.", } @Article{Berger:1963:NME, author = "J. M. Berger and Beno{\^\i}t Mandelbrot", title = "A New Model for Error Clustering in Telephone Circuits", journal = j-IBM-JRD, volume = "7", number = "3", pages = "224--236", month = "????", year = "1963", CODEN = "IBMJAE", DOI = "http://dx.doi.org/10.1147/rd.73.0224", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Tue Sep 11 14:40:03 MDT 2012", bibsource = "http://ieeexplore.ieee.org/servlet/opac?punumber=5288520; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5392305", acknowledgement = ack-nhfb, book-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520", fjournal = "IBM Journal of Research and Development", xxtitle = "A new model for the clustering of errors on telephone circuits", } @Article{Fama:1963:MSP, author = "Eugene F. Fama", title = "{Mandelbrot} and the Stable {Paretian} Hypothesis", journal = j-J-BUS-UNIV-CHIC, volume = "36", number = "4", pages = "420--429", month = oct, year = "1963", CODEN = "????", ISSN = "0021-9398 (print), 1537-5374 (electronic)", ISSN-L = "0021-9398", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2350971", acknowledgement = ack-nhfb, } @InCollection{Miller:1963:FML, author = "George A. Miller and Noam Chomsky", title = "Finitary Models of Language Users", crossref = "Luce:1963:HMP", pages = "419--491", year = "1963", bibdate = "Thu Feb 28 09:09:58 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, remark = "This paper, and another \cite {Miller:1957:SEI}, are early applications of Mandelbrot's derivations of inverse power laws in information theory.", } @Article{Fairthorne:1969:PDE, author = "Robert A. Fairthorne", title = "Progress in Documentation: Empirical Hyperbolic Distributions ({Bradford--Zipf--Mandelbrot}) for Bibliometric Description and Prediction", journal = j-J-DOC, volume = "25", number = "4", pages = "313--343", month = dec, year = "1969", CODEN = "JDOCAS", DOI = "http://dx.doi.org/10.1108/eb026481", ISSN = "0022-0418 (print), 1758-7379 (electronic)", ISSN-L = "0022-0418", bibdate = "Fri Nov 25 06:27:27 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", note = "Reprinted in \cite{Fairthorne:2005:PDE}.", acknowledgement = ack-nhfb, fjournal = "Journal of Documentation", remark = "According to \cite{Potter:1981:LLR}, this paper is the first to link the distributions of Bradford, Zipf, Mandelbrot, and Lotka.", } @Article{Orlov:1970:GZM, author = "Ju. K. Orlov", title = "A generalization of the {Zipf--Mandelbrot} law", journal = "Sakharth. SSR Mech. Akad. Moambe", volume = "57", number = "??", pages = "37--40", month = "????", year = "1970", CODEN = "????", ISSN = "????", MRclass = "94.50", MRnumber = "0274234 (42 \#9109)", MRreviewer = "T. Nemetz", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, } @Article{Barnsley:1971:SRF, author = "Michael Barnsley", title = "Sum Rule Functions", journal = j-J-MATH-PHYS, volume = "12", number = "6", pages = "957--964", month = jun, year = "1971", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.1665688", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Fri Oct 28 16:39:38 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v12/i6/p957_s1", acknowledgement = ack-nhfb, classification = "A0365 (Quantum theory; A1150L (Sum rules); quantum mechanics)", corpsource = "Univ. Wisconsin, Madison, WI, USA", keywords = "bounds; quantum mechanical sum rule; quantum theory applications; sum rule function; sum rules", onlinedate = "28 October 2003", pagecount = "8", treatment = "T Theoretical or Mathematical", } @Article{Barnsley:1973:BPM, author = "Michael Barnsley", title = "The bounding properties of the multipoint {Pad{\'e}} approximant to a series of {Stieltjes} on the real line", journal = j-J-MATH-PHYS, volume = "14", number = "3", pages = "299--313", month = mar, year = "1973", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.1666314", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Fri Oct 28 16:39:58 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v14/i3/p299_s1", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis)", corpsource = "Univ. Wisconsin, Madison, WI, USA", keywords = "bounding properties; complementary approximants; function approximation; multipoint Pad{\'e} approximant; real line; series (mathematics); series of Stieltjes", onlinedate = "3 November 2003", pagecount = "15", treatment = "T Theoretical or Mathematical", } @Article{Epstein:1973:VAT, author = "Saul T. Epstein and Michael F. Barnsley", title = "A variational approach to the theory of multipoint {Pad{\'e}} approximants", journal = j-J-MATH-PHYS, volume = "14", number = "3", pages = "314--325", month = mar, year = "1973", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.1666315", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Fri Oct 28 16:39:58 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v14/i3/p314_s1", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis)", corpsource = "Univ. Wisconsin, Madison, WI, USA", keywords = "bounding properties; frequency dependent polarizability function; function approximation; functions; generalized Hylleraas variational principle; series (mathematics); series of Stieltjes; theory of multipoint Pad{\'e} approximants; variational approach; variational techniques", onlinedate = "3 November 2003", pagecount = "12", treatment = "T Theoretical or Mathematical", } @Article{Barnsley:1974:DVP, author = "M. F. Barnsley and P. D. Robinson", title = "Dual variational principles and {Pad{\'e}}-type approximants", journal = j-J-INST-MATH-APPL, volume = "14", number = "??", pages = "229--249", month = "????", year = "1974", CODEN = "JMTAA8", ISSN = "0020-2932", MRclass = "65F99 (41A20)", MRnumber = "51 #7274", MRreviewer = "Y. Cherrault", bibdate = "Fri Apr 5 08:23:25 MST 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0286.65035", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", } @Article{Barnsley:1974:PAB, author = "M. F. Barnsley and P. D. Robinson", title = "{Pad{\'e}}-approximant bounds and approximate solutions for {Kirkwood--Riseman} integral equations", journal = j-J-INST-MATH-APPL, volume = "14", number = "??", pages = "251--265", month = "????", year = "1974", CODEN = "JMTAA8", ISSN = "0020-2932", MRclass = "65R05", MRnumber = "51 #7331", MRreviewer = "Y. Cherruault", bibdate = "Fri Apr 5 07:24:31 MST 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", ZMnumber = "Zbl 0286.65063", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", } @Article{Kahane:1974:MTB, author = "Jean-Pierre Kahane", title = "Sur le mod{\`e}le de turbulence de {Beno{\^\i}t Mandelbrot}", journal = "C. R. Acad. Sci. Paris S{\'e}r. A", volume = "278", number = "??", pages = "621--623", month = "????", year = "1974", CODEN = "????", ISSN = "????", MRclass = "60F15 (60G45 76.60)", MRnumber = "0431353 (55 \#4353)", MRreviewer = "W. L. Steiger", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Barnsley:1975:CTP, author = "M. F. Barnsley", title = "Correction terms for {Pad{\'e}} approximants", journal = j-J-MATH-PHYS, volume = "16", number = "4", pages = "918--928", month = apr, year = "1975", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.522598", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Sat Oct 29 11:27:38 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v16/i4/p918_s1", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis)", corpsource = "Bradford Univ., UK", keywords = "correction terms; functions; Pad{\'e} approximants; series (mathematics)", onlinedate = "3 September 2008", pagecount = "11", treatment = "T Theoretical or Mathematical", } @Article{Barnsley:1975:VBT, author = "Michael F. Barnsley and Peter D. Robinson", title = "Variational bounds on transition probabilities", journal = j-IJQC, volume = "9", number = "3", pages = "479--487", month = may, year = "1975", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560090310", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Mon Oct 3 08:57:41 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ijqc1970.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", onlinedate = "19 Oct 2004", } @Article{Voss:1975:NMS, author = "R. F. Voss and J. Clarke", title = "$1 / f$ Noise in Music and Speech", journal = j-NATURE, volume = "258", number = "5533", pages = "317--318", day = "27", month = nov, year = "1975", CODEN = "????", DOI = "http://dx.doi.org/10.1038/258317a0", ISSN = "????", bibdate = "Mon Sep 10 16:55:44 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v258/n5533/pdf/258317a0.pdf", acknowledgement = ack-nhfb, } @Article{Barnsley:1976:BBC, author = "M. F. Barnsley and George A. {Baker, Jr.}", title = "Bivariational bounds in a complex {Hilbert} space, and correction terms for Pad{\'e} approximants", journal = j-J-MATH-PHYS, volume = "17", number = "6", pages = "1019--1027", month = jun, year = "1976", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.523010", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Sat Oct 29 11:27:54 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v17/i6/p1019_s1", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis)", corpsource = "School of Math., Bradford Univ., Bradford, UK", keywords = "analytic function approximation; approximation theory; bivariational bounds; complex Hilbert space; correction terms; functional equations; functions; inclusion regions; Pad{\'e} approximants; variational techniques", onlinedate = "28 August 2008", pagecount = "9", treatment = "T Theoretical or Mathematical", } @Article{Barnsley:1976:BBS, author = "M. F. Barnsley and P. D. Robinson", title = "Bivariational Bounds on Solutions of Two-Point Boundary-Value Problems", journal = j-J-MATH-ANAL-APPL, volume = "56", number = "??", pages = "172--184", month = "????", year = "1976", CODEN = "JMANAK", ISSN = "0022-247X", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-jr, } @Article{Barnsley:1976:PAB, author = "M. F. Barnsley", title = "{Pad{\'e}} approximant bounds for the difference of two series of {Stieltjes}", journal = j-J-MATH-PHYS, volume = "17", number = "4", pages = "559--565", month = apr, year = "1976", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.522944", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Sat Oct 29 11:27:52 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v17/i4/p559_s1", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "School of Math., Univ. of Bradford, Bradford, UK", keywords = "function approximation; Pad{\'e} approximant bounds", onlinedate = "28 August 2008", pagecount = "7", treatment = "T Theoretical or Mathematical", } @Article{Kahane:1976:CMB, author = "J.-P. Kahane and J. Peyri{\`e}re", title = "Sur certaines martingales de {Beno{\^\i}t Mandelbrot}", journal = "Advances in Math.", volume = "22", number = "2", pages = "131--145", month = "????", year = "1976", CODEN = "????", ISSN = "0001-8708 (print), 1090-2082 (electronic)", MRclass = "60F15 (60G45 76.60)", MRnumber = "0431355 (55 \#4355)", MRreviewer = "W. L. Steiger", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Advances in Mathematics", } @Article{Orlov:1976:CBP, author = "Ju. K. Orlov", title = "The connection between the {Pareto} distribution and the generalized {Zipf--Mandelbrot} law", journal = "Sakharth. SSR Mech. Akad. Moambe", volume = "83", number = "1", pages = "57--60", month = "????", year = "1976", CODEN = "????", ISSN = "????", MRclass = "90A15", MRnumber = "0434355 (55 \#7321)", MRreviewer = "S. Krcevinac", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, } @Article{Barnsley:1977:BBN, author = "M. F. Barnsley and P. D. Robinson", title = "Bivariational bounds for non-linear problems", journal = j-J-INST-MATH-APPL, volume = "20", number = "4", pages = "485--504", month = "????", year = "1977", CODEN = "JMTAA8", ISSN = "0020-2932", MRclass = "65H05 (47H15)", MRnumber = "57 #7982", MRreviewer = "Robert D. Brown", bibdate = "Sat Apr 6 16:27:10 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Institute of Mathematics and its Applications", } @Article{Barnsley:1978:APE, author = "Michael F. Barnsley and Jacques G. Aguilar", title = "On the approximation of potential-energy functions for two-center systems", journal = j-IJQC, volume = "13", number = "5", pages = "641--677", month = may, year = "1978", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560130509", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Mon Oct 3 08:58:23 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ijqc1970.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", onlinedate = "19 Oct 2004", } @Article{Barnsley:1978:RAB, author = "M. F. Barnsley and P. D. Robinson", title = "Rational Approximant Bounds for a Class of Two-Variable {Stieltjes} Functions", journal = j-SIAM-J-MATH-ANA, volume = "9", number = "2", pages = "272--290", month = apr, year = "1978", CODEN = "SJMAAH", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", bibdate = "Sun Nov 28 19:28:37 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/9/2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", } @Article{Duran:1978:XFM, author = "Carlos Dur{\'a}n", title = "A Xeometr{\'\i}a Fractal de {Mandelbrot}", journal = "Grial", volume = "??", number = "62", pages = "465--468", month = "????", year = "1978", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/29749665", acknowledgement = ack-nhfb, } @Article{Dyson:1978:RCI, author = "Freeman Dyson", title = "Review: Characterizing Irregularity: {{\booktitle{Fractals. Form, Chance, and Dimension}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-SCIENCE, volume = "200", number = "4342", pages = "677--678", day = "12", month = may, year = "1978", CODEN = "SCIEAS", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1746976", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Gardner:1978:MGW, author = "M. Gardner", title = "Mathematical games: White and brown music, fractal curves and $1/f$ fluctuations", journal = j-SCI-AMER, volume = "238", number = "4", pages = "16--32", month = apr, year = "1978", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; Theory/nld.bib", keywords = "fractal", } @Article{Good:1978:RBF, author = "I. J. Good", title = "Review: {{\booktitle{Fractals: Form, Chance, and Dimension}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-J-AM-STAT-ASSOC, volume = "73", number = "362", pages = "438", month = jun, year = "1978", CODEN = "JSTNAL", ISSN = "0162-1459 (print), 1537-274X (electronic)", ISSN-L = "0162-1459", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2286682", acknowledgement = ack-nhfb, fjournal = "Journal of the American Statistical Association", } @Article{Howland:1978:RBF, author = "Howard C. Howland", title = "Review: {{\booktitle{Fractals: Form, Change, and Dimension}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-Q-REV-BIOL, volume = "53", number = "2", pages = "216", month = jun, year = "1978", CODEN = "QRBIAK", ISSN = "0033-5770 (print), 1539-7718 (electronic)", ISSN-L = "0033-5770", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2826364", acknowledgement = ack-nhfb, fjournal = "Quarterly review of biology", } @Article{Kac:1978:RBF, author = "Mark Kac", title = "Review: {{\booktitle{Fractals: Form, Chance, and Dimension}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-AM-SCI, volume = "66", number = "2", pages = "250", month = mar, year = "1978", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27848608", acknowledgement = ack-nhfb, fjournal = "American Scientist", } @Article{Kilmister:1978:RBF, author = "C. W. Kilmister", title = "Review: {{\booktitle{Fractals: Form, Chance and Dimension}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-MATH-GAZ, volume = "62", number = "420", pages = "130--132", month = jun, year = "1978", CODEN = "MAGAAS", ISSN = "0025-5572", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/3617679", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", } @Article{Voss:1978:NMM, author = "R. F. Voss and J. Clarke", title = "$1 / f$ noise in Music: Music from $1 / f$ Noise", journal = j-J-ACOUST-SOC-AM, volume = "63", number = "??", pages = "258--263", month = "????", year = "1978", CODEN = "JASMAN", ISSN = "0001-4966", ISSN-L = "0001-4966", bibdate = "Mon Sep 10 17:02:38 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", } @Article{Barnsley:1979:CMB, author = "M. Barnsley and D. Bessis", title = "Constructive methods based on analytic characterizations and their application to nonlinear elliptic and parabolic differential equations", journal = j-J-MATH-PHYS, volume = "20", number = "6", pages = "1135--1145", month = jun, year = "1979", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.524165", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "41A36 (35B30 35B32)", MRnumber = "81d:41029", MRreviewer = "T. St{\'y}s", bibdate = "Sat Oct 29 11:28:35 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v20/i6/p1135_s1", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis)", corpsource = "CENS, Gif-sur-Yvette, France", keywords = "analytic characterizations; Bernsteins' theorems; function approximation; functional equations; nonlinear differential equations; nonlinear elliptic differential equations; nonlinear parabolic differential equations; nonlinear problems; perturbation series; positivity properties; quadratic nonlinearity", onlinedate = "29 July 2008", pagecount = "11", treatment = "T Theoretical or Mathematical", } @Article{Barnsley:1979:DMP, author = "M. Barnsley and D. Bessis and P. Moussa", title = "The {Diophantine} moment problem and the analytic structure in the activity of the ferromagnetic {Ising} model", journal = j-J-MATH-PHYS, volume = "20", number = "4", pages = "535--546", month = apr, year = "1979", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.524121", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "82A67 (44A60)", MRnumber = "81a:82049", bibdate = "Sat Oct 29 11:28:33 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v20/i4/p535_s1", acknowledgement = ack-nhfb, classification = "A0550 (Lattice theory and statistics; A7510H (Ising and other classical spin models (magnetism)); Ising problems)", corpsource = "CENS, Gif-sur-Yvette, France", keywords = "Diophantine moment; Dirac delta functions; ferromagnetic Ising model; Ising model; magnetisation; magnetisation intensity", onlinedate = "29 July 2008", pagecount = "12", treatment = "T Theoretical or Mathematical", } @Article{Bresson:1979:RBF, author = "Denis Bresson", title = "Review: {{\booktitle{Fractals: Form, Chance and Dimension}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-LEONARDO, volume = "12", number = "3", pages = "248--249", month = "????", year = "1979", CODEN = "LEONDP", ISSN = "0024-094X (print), 1530-9282 (electronic)", ISSN-L = "0024-094X", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1574228", acknowledgement = ack-nhfb, fjournal = "Leonardo (Oxford, England)", } @Article{Iosifescu:1979:RBF, author = "Marius Iosifescu", title = "Review: {{\booktitle{Fractals: Form, Chance and Dimension}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-INT-STAT-REV, volume = "47", number = "3", pages = "299", month = dec, year = "1979", CODEN = "STRDPY", ISSN = "0306-7734 (print), 1751-5823 (electronic)", ISSN-L = "0306-7734", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1402650", acknowledgement = ack-nhfb, fjournal = "International Statistical Review / Revue Internationale de Statistique", } @Article{Kirkby:1979:BRB, author = "M. J. Kirkby", title = "Book Review: {{\booktitle{Fractals: Form, chance, and dimension}}, Beno{\^\i}t B. Mandelbrot, W. H. Freeman and Co., 1977. No. of pages: 365. Price: U.S. \$14.95}", journal = "Earth Surface Processes", volume = "4", number = "1", pages = "98--98", month = jan # "\slash " # mar, year = "1979", CODEN = "????", DOI = "http://dx.doi.org/10.1002/esp.3290040122", ISSN = "????", bibdate = "Mon Sep 10 06:01:24 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, onlinedate = "3 Jan 2007", } @Article{Robinson:1979:PBB, author = "Peter D. Robinson and Michael F. Barnsley", title = "Pointwise bivariational bounds on solutions of {Fredholm} integral equations", journal = j-SIAM-J-NUMER-ANAL, volume = "16", number = "1", pages = "135--144", month = feb, year = "1979", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65R20 (45L05)", MRnumber = "80b:65157", MRreviewer = "Frank G. Hagin", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @Article{Stoyan:1979:BRM, author = "D. Stoyan", title = "Book Review: {Mandelbrot, B. B., \booktitle{Fractals: Form, Chance, and Dimension}. San Francisco. W. H. Freeman and Company. 1977. 352 S., 68 Abb., \$14.95}", journal = j-Z-ANGE-MATH-MECH, volume = "59", number = "8", pages = "402--403", month = "????", year = "1979", CODEN = "ZAMMAX", DOI = "http://dx.doi.org/10.1002/zamm.19790590830", ISSN = "0044-2267 (print), 1521-4001 (electronic)", ISSN-L = "0044-2267", bibdate = "Mon Sep 10 06:02:45 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}", onlinedate = "22 NOV 2006", } @InProceedings{Voss:1979:FNB, author = "R. F. Voss", editor = "????", booktitle = "{Proceedings of the Annual Symposium on Frequency Control (32nd) Held in Atlantic City, New Jersey on 31 May--2 June 1978}", title = "$1 / f$ (flicker) noise: a brief review", publisher = "Electronic Industries Association", address = "Washington, DC, USA", pages = "40--46", year = "1979", ISBN = "????", ISBN-13 = "????", LCCN = "TK7872.O7 F72 1978", bibdate = "Mon Sep 10 17:01:24 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, bookpages = "viii + 566", } @Article{Barnsley:1980:CSK, author = "M. Barnsley and H. Cornille", title = "On a class of solutions of the {Krook--Tjon--Wu} model of the {Boltzmann} equation", journal = j-J-MATH-PHYS, volume = "21", number = "5", pages = "1176--1193", month = may, year = "1980", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.524542", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "82A40 (45K05)", MRnumber = "82h:82023", bibdate = "Sat Oct 29 18:18:29 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v21/i5/p1176_s1", acknowledgement = ack-nhfb, onlinedate = "21 July 2008", pagecount = "18", } @Article{Berry:1980:WMF, author = "M. V. Berry and Z. V. Lewis", title = "On the {Weierstrass--Mandelbrot} Fractal Function", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "370", number = "1743", pages = "459--484", day = "24", month = apr, year = "1980", CODEN = "PRLAAZ", ISSN = "0080-4630", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2397195", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences", } @Article{Barnsley:1981:BMN, author = "M. Barnsley and G. Turchetti", title = "Bounding methods in nuclear physics", journal = j-COMP-PHYS-COMM, volume = "22", number = "2--3", pages = "325--343", month = apr, year = "1981", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/0010-4655(81)90068-0", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 09:27:06 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/0010465581900680", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Burrough:1981:FDL, author = "P. A. Burrough", title = "Fractal dimensions of landscapes and other environmental data", journal = j-NATURE, volume = "294", number = "5838", pages = "240--242", day = "19", month = nov, year = "1981", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/294240a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v294/n5838/pdf/294240a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Lefort:1982:LOA, author = "B. Lefort", title = "{L}'Emploi des Outils au Cours de Taches d'Entretien et la Loi de {Zipf--Mandelbrot}. ({French}) [The Use of Tools in Maintenance Tasks and the {Zipf--Mandelbrot Law}]", journal = j-TRAV-HUM, volume = "45", number = "2", pages = "307--316", month = "????", year = "1982", CODEN = "TRHUAH", ISSN = "0041-1868 (print), 2104-3663 (electronic)", ISSN-L = "0041-1868", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://www.jstor.org/stable/40657805", acknowledgement = ack-nhfb, fjournal = "Le Travail Humain", language = "French", } @Article{Norton:1982:GDG, author = "A. Norton", title = "Generation and display of geometric fractals in {$3$-D}", journal = j-COMP-GRAPHICS, volume = "16", number = "3", pages = "61--67", month = jul, year = "1982", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "Graphics/imager/imager.82.bib; Graphics/siggraph/82.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", conference = "held in Boston, Mass.; 26--30 July 1982", keywords = "I33 display algorithms, I35 object representation curve surface solid, I37 color shading shadowing texture", } @Article{Boyd:1983:RBF, author = "James N. Boyd", title = "Review: {{\booktitle{The Fractal Geometry of Nature}}, (L) by Beno{\^\i}t B. Mandelbrot}", journal = j-MATH-TEACH, volume = "76", number = "4", pages = "288", month = apr, year = "1983", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27963479", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @Article{Ferson:1983:RBF, author = "Scott Ferson", title = "Review: {{\booktitle{The Fractal Geometry of Nature}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-Q-REV-BIOL, volume = "58", number = "3", pages = "412--413", month = sep, year = "1983", CODEN = "QRBIAK", ISSN = "0033-5770 (print), 1539-7718 (electronic)", ISSN-L = "0033-5770", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2828658", acknowledgement = ack-nhfb, fjournal = "Quarterly review of biology", } @Article{Kajiya:1983:NTRa, author = "James T. Kajiya", title = "New Techniques For Ray Tracing Procedurally Defined Objects", journal = j-COMP-GRAPHICS, volume = "17", number = "3", pages = "91--102", month = jul, year = "1983", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "Graphics/imager/imager.83.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", annote = "Also appears in {\bf Tutorial: Computer Graphics: Image Synthesis}, Kenneth I. Joy, Charles W. Grant, Nelson L. Max, and Lansing Hatfield (eds.), Computer Society Press, Washington, 1988, p. 168-188. \\ We present new algorithms for efficient ray tracing of three procedurally defined objects: fractal surfaces, prisms, and surfaces of revolution. The fractal surface algorithm performs recursive subdivision adaptively. Subsurfaces which cannot intersect a given ray are culled from further consideration. The prism algorithm transforms the three-dimensional ray-surface intersection problem into a two-dimensional ray-curve intersection problem, which is solved by the method of strip trees. The surface-of-revolution algorithm transforms the three-dimensional ray-surface intersection problem into a two-dimensional curve-curve intersection problem, which again is solved by strip trees. \\ Kajiya presents good solid methods for ray tracing various models which are represented procedurally. Fractals are ray traced as they are built, which keeps unseen fractal surfaces from being evolved. Prisms are ray traced in a fairly simple fashion. A clever use of geometric transforms is used to ray trace surfaces of revolution. Makes good use of strip trees (see Ballard).", conference = "held in Detroit, Michigan; 25--29 July 1983", keywords = "I37 fractal surfaces, I37 prisms, I37 ray tracing, I37 surfaces of revolution, ray tracing intersect, procedural models, fractals, revolution, prisms", } @Article{Kajiya:1983:NTRb, author = "James T. Kajiya", title = "New Techniques for Ray Tracing Procedurally Defined Objects", journal = j-TOG, volume = "2", number = "3", pages = "161--181", month = jul, year = "1983", CODEN = "ATGRDF", ISSN = "0730-0301 (print), 1557-7368 (electronic)", ISSN-L = "0730-0301", bibdate = "Thu Aug 25 23:12:20 1994", bibsource = "Graphics/ray.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tog.bib", note = "Also appeared in SIGGRAPH '83 Proceedings, and in Tutorial: Computer Graphics: Image Synthesis, Computer Society Press, Washington, 1988, pp. 168--188.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Graphics", keywords = "fractal; object intersection; prism; ray tracing; surfaces of revolution", } @Article{Kirkby:1983:BRB, author = "M. J. Kirkby", title = "Book Review: {{\booktitle{The fractal geometry of nature}}. Beno{\^\i}t B. Mandelbrot. W. H. Freeman and Co., San Francisco, 1982. No. of pages: 460. Price: \pounds 22.75 (hardback)}", journal = "Earth Surface Processes and Landforms", volume = "8", number = "4", pages = "406--406", month = jul # "\slash " # aug, year = "1983", CODEN = "????", DOI = "http://dx.doi.org/10.1002/esp.3290080415", ISSN = "????", bibdate = "Mon Sep 10 05:59:45 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, onlinedate = "18 Jul 2006", } @Article{Avnir:1984:MFS, author = "David Avnir and Dina Farin and Peter Pfeifer", title = "Molecular fractal surfaces", journal = j-NATURE, volume = "308", number = "5956", pages = "261--263", day = "15", month = mar, year = "1984", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/308261a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v308/n5956/pdf/308261a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Barcellos:1984:FGM, author = "Anthony Barcellos", title = "The Fractal Geometry of {Mandelbrot}", journal = j-COLLEGE-MATH-J, volume = "15", number = "2", pages = "98--114", month = mar, year = "1984", CODEN = "????", ISSN = "0746-8342 (print), 1931-1346 (electronic)", ISSN-L = "0746-8342", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2686514", acknowledgement = ack-nhfb, fjournal = "College Mathematics Journal", } @Article{Boroda:1984:ZML, author = "M. G. Boroda and A. A. Polikarpov", title = "The {Zipf--Mandelbrot} law and units of different levels of text organization", journal = "Tartu Riikl. {\"U}l. Toimetised", volume = "??", number = "689", pages = "35--60", month = "????", year = "1984", CODEN = "????", ISSN = "????", MRclass = "92A25", MRnumber = "781731 (86c:92030)", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "Tartu Riikliku {\"U}likooli Toimetised. Uchenye Zapiski Tartuskogo Gosudarstvennogo Universiteta. Acta et Commentationes Universitatis Tartuensis", } @Article{Brady:1984:FGC, author = "R. M. Brady and R. C. Ball", title = "Fractal growth of copper electrodeposits", journal = j-NATURE, volume = "309", number = "5965", pages = "225--229", day = "17", month = may, year = "1984", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/309225a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v309/n5965/pdf/309225a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Burn:1984:RBF, author = "R. P. Burn", title = "Review: {{\booktitle{The Fractal Geometry of Nature}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-MATH-GAZ, volume = "68", number = "443", pages = "71--72", month = mar, year = "1984", CODEN = "MAGAAS", ISSN = "0025-5572", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/3615422", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", } @Article{Cannon:1984:RBF, author = "J. W. Cannon", title = "Review: {{\booktitle{The Fractal Geometry of Nature}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "9", pages = "594--598", month = nov, year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2323761", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", } @Article{Chakerian:1984:RBF, author = "Don Chakerian", title = "Review: {{\booktitle{The Fractal Geometry of Nature}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-COLLEGE-MATH-J, volume = "15", number = "2", pages = "175--177", month = mar, year = "1984", CODEN = "????", ISSN = "0746-8342 (print), 1931-1346 (electronic)", ISSN-L = "0746-8342", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2686529", acknowledgement = ack-nhfb, fjournal = "College Mathematics Journal", } @Article{Good:1984:BRB, author = "I. J. Good", title = "Book Review: {{\booktitle{The Fractal Geometry of Nature}} ({Beno{\^\i}t B. Mandelbrot})}", journal = j-SIAM-REVIEW, volume = "26", pages = "131--??", year = "1984", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/siread/v26/i1/p131/s1", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Good:1984:RBF, author = "I. J. Good", title = "Review: {{\booktitle{The Fractal Geometry of Nature}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-SIAM-REVIEW, volume = "26", number = "1", pages = "131--132", month = jan, year = "1984", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2029696", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Jakeman:1984:AMS, author = "Eric Jakeman", title = "Applied mathemetics: Scattering by fractal objects", journal = j-NATURE, volume = "307", number = "5947", pages = "110--110", day = "12", month = jan, year = "1984", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/307110a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v307/n5947/pdf/307110a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Peitgen:1984:CPJ, author = "H.-O. Peitgen and D. Saupe and F. von Haeseler", title = "{Cayley}'s problem and {Julia} sets", journal = j-MATH-INTEL, volume = "6", number = "??", pages = "11--20", month = "????", year = "1984", CODEN = "MAINDC", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Mon Sep 10 16:50:22 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", } @Book{Peitgen:1984:HCK, author = "Heinz-Otto Peitgen and Peter H. Richter", title = "{Harmonie in Chaos und Kosmos. Bilder aus d. Theorie dynamischer Systeme}. ({German}) [{Harmony} in chaos and the cosmos. {Pictures} from the theory of dynamical systems]", publisher = "Die Sparkasse in Bremen", address = "Bremen, West Germany", pages = "63", year = "1984", LCCN = "????", bibdate = "Mon Sep 10 17:06:30 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.gbv.de:20011/gvk", acknowledgement = ack-nhfb, language = "German", } @Book{Peitgen:1984:MKG, editor = "Heinz Otto. Peitgen and Peter H. Richter", title = "{Morphologie komplexer Grenzen: Bilder aus der Theorie dynamischer Systeme. Ausstellung vom 27. Mai--9. Juni 1984 im Max-Planck-Institut f{\"u}r Biophysikalische Chemie, Verwaltungsgeb{\"a}ude am Fassberg, G{\"o}ttingen u.a.}. ({German}) [{The} morphology of complex limits: Pictures from the theory of dynamical systems. Exhibition from 27 May to 9 June 1984 at the Max Planck Institute for Biophysical Chemistry, Administration building at {Fassberg, G{\"o}ttingen}]", publisher = "Forschungsgruppe ``Komplexe Dynamik'', Universit{\"a}t Bremen", address = "Bremen, West Germany", pages = "47", year = "1984", LCCN = "????", bibdate = "Mon Sep 10 17:08:49 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.gbv.de:20011/gvk", URL = "http://www.gbv.de/dms/ohb-opac/01903640X.pdf", acknowledgement = ack-nhfb, language = "German", } @Article{Smith:1984:PFF, author = "Alvy Ray {Smith III}", key = "fractals,models-graphics,plants,automata-theory", title = "Plants, Fractals, and Formal Languages", journal = j-COMP-GRAPHICS, volume = "18", number = "3", pages = "1--10", month = jul, year = "1984", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "Ai/alife.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Applications of formal grammars for generating graphic fractals --- ``graftals'' --- in the modeling of plants.", annote = "Graftals. Methods for displaying natural objects based on formal language models are presented. In particular, deterministic models are shown to exhibit sufficient variety to be used in production graphic systems.", } @Article{Sparrow:1984:RBF, author = "Colin Sparrow", title = "Review: {{\booktitle{The Fractal Geometry of Nature}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-J-R-STAT-SOC-SER-A-GENERAL, volume = "147", number = "4", pages = "616--618", month = "????", year = "1984", CODEN = "JSSAEF", ISSN = "0035-9238", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2981858", acknowledgement = ack-nhfb, fjournal = "Journal of the Royal Statistical Society. Series A (General)", } @Article{Ausloos:1985:MWM, author = "M. Ausloos and D. H. Berman", title = "A Multivariate {Weierstrass--Mandelbrot} Function", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "400", number = "1819", pages = "331--350", day = "8", month = aug, year = "1985", CODEN = "PRLAAZ", ISSN = "0080-4630", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2397968", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences", } @Article{Bouville:1985:BER, author = "Christian Bouville", title = "Bounding Ellipsoids for Ray-Fractal Intersection", journal = j-COMP-GRAPHICS, volume = "19", number = "3", pages = "45--52", month = jul, year = "1985", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:36 MST 2002", bibsource = "Graphics/imager/imager.85.bib; http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, annote = "Recently published papers have shown that, with appropriate intersection algorithms, the rendering of many procedural objects is possible with all the advantages offered by the ray-tracing techniques. In the case of stochastic surfaces, the intersection can be computed by a recursive subdivision technique. The efficiency of this algorithm depends essentially on the bounding volume whose size and shape are directly related to the stochastic characteristics of these surfaces. After a brief review of the rendering of stochastic surfaces and the bounding volume selection problem, two types of bounding volumes are studies, describing how their intersection with a ray can be computed and how their size can be derived from the stochastic characteristics. The efficiency then, of these bounding volumes is compared.", conference = "held in San Francisco, CA; 22--26 July 1985", keywords = "I37 ray fractal intersection, I37 stochastic surfaces", } @Article{Brickmann:1985:BRB, author = "J. Brickmann", title = "Book Review: {B. Mandelbrot: \booktitle{The Fractal Geometry of Nature}, Freeman and Co., San Francisco 1982. 460 Seiten, Preis: \pounds 22,75}", journal = "Berichte der Bunsengesellschaft f{\"u}r physikalische Chemie", volume = "89", number = "2", pages = "209--209", month = feb, year = "1985", CODEN = "????", DOI = "http://dx.doi.org/10.1002/bbpc.19850890223", ISSN = "????", bibdate = "Sat Sep 08 19:20:54 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://onlinelibrary.wiley.com/doi/10.1002/bbpc.19850890223/abstract", acknowledgement = ack-nhfb, onlinedate = "7 MAY 2010", } @Article{Demko:1985:CFO, author = "Stephen Demko and Laurie Hodges and Bruce Naylor", title = "Construction of Fractal Objects with Iterated Function Systems", journal = j-COMP-GRAPHICS, volume = "19", number = "3", pages = "271--278", month = jul, year = "1985", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:36 MST 2002", bibsource = "Graphics/imager/imager.85.bib; http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, conference = "held in San Francisco, CA; 22--26 July 1985", keywords = "I35 fractals, I35 iterative methods, I35 geometric modeling", } @Article{Dewdney:1985:CRC, author = "A. K. Dewdney", title = "Computer Recreations: a computer microscope zooms in for a look at the most complex object in mathematics", journal = j-SCI-AMER, volume = "253", number = "2", pages = "17--21, 24", month = aug, year = "1985", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Exploring the Mandelbrot set.", acknowledgement = ack-nhfb, keywords = "models-computer", } @Article{Dewdney:1985:CRE, author = "A. K. Dewdney", title = "Computer Recreations: Exploring the {Mandelbrot} Set", journal = j-COMP-GRAPHICS, volume = "20", number = "4", pages = "16--??", month = "????", year = "1985", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", ISSN-L = "0097-8930", bibdate = "Mon Sep 10 16:40:00 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Computer Graphics", } @Book{Falconer:1985:GFS, author = "K. J. Falconer", title = "The geometry of fractal sets", volume = "85", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xiv + 162", year = "1985", ISBN = "0-521-25694-1", ISBN-13 = "978-0-521-25694-0", LCCN = "QA248 .F274 1985", bibdate = "Mon Sep 10 16:41:53 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", series = "Cambridge tracts in mathematics", URL = "http://www.loc.gov/catdir/toc/cam031/84012091.html; http://www.loc.gov/catdir/samples/cam031/84012091.html; http://www.loc.gov/catdir/description/cam031/84012091.html", acknowledgement = ack-nhfb, subject = "Fractals; Geometric measure theory", } @Article{Lewis:1985:FSP, author = "M. Lewis and D. C. Rees", title = "Fractal surfaces of proteins", journal = j-SCIENCE, volume = "230", number = "4730", pages = "1163--1165", day = "6", month = dec, year = "1985", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.4071040", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/230/4730/1163.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Morse:1985:FDV, author = "D. R. Morse and J. H. Lawton and M. M. Dodson and M. H. Williamson", title = "Fractal dimension of vegetation and the distribution of arthropod body lengths", journal = j-NATURE, volume = "314", number = "6013", pages = "731--733", day = "25", month = apr, year = "1985", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/314731a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v314/n6013/pdf/314731a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Nittmann:1985:FGV, author = "Johann Nittmann and G{\'e}rard Daccord and H. Eugene Stanley", title = "Fractal growth viscous fingers: quantitative characterization of a fluid instability phenomenon", journal = j-NATURE, volume = "314", number = "6007", pages = "141--144", day = "14", month = mar, year = "1985", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/314141a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v314/n6007/pdf/314141a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Robinson:1985:FFV, author = "Arthur L. Robinson", title = "Fractal Fingers in Viscous Fluids", journal = j-SCIENCE, volume = "228", number = "4703", pages = "1077--1080", day = "31", month = may, year = "1985", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.228.4703.1077", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/228/4703/1077.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Sander:1985:SIP, author = "L. M. Sander", title = "Scale-invariant phenomena: Viscous fingers and fractal growth", journal = j-NATURE, volume = "314", number = "6010", pages = "405--406", day = "4", month = apr, year = "1985", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/314405a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v314/n6010/pdf/314405a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Taylor:1985:F, author = "S. James Taylor", title = "Fractals", journal = j-SCIENCE, volume = "229", number = "4720", pages = "1381--1381", day = "27", month = sep, year = "1985", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.229.4720.1381", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/229/4720/1381.1.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Turcotte:1985:CLF, author = "D. L. Turcotte and R. F. Smalley and Sara A. Solla", title = "Collapse of loaded fractal trees", journal = j-NATURE, volume = "313", number = "6004", pages = "671--672", day = "21", month = feb, year = "1985", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/313671a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v313/n6004/pdf/313671a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Aharony:1986:F, author = "Amnon Aharony", title = "Fractals", journal = j-SCIENCE, volume = "232", number = "4752", pages = "891--892", day = "16", month = may, year = "1986", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.232.4752.891-a", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/232/4752/891.1.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Book{Barnsley:1986:CDF, editor = "Michael F. Barnsley and Stephen G. Demko", title = "Chaotic Dynamics and Fractals", volume = "2", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, edition = "1", pages = "xi + 292", year = "1986", ISBN = "0-12-079060-2", ISBN-13 = "978-0-12-079060-9", LCCN = "QA843 .C471 1986", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", series = "Notes and reports in mathematics in science and engineering", crindex = "DS 515.352 CHAO", keywords = "UCT barcode 198605224701", } @Article{Berry:1986:FA, author = "Michael Berry", title = "Fractal attractions", journal = j-NATURE, volume = "323", number = "6089", pages = "590--590", day = "16", month = oct, year = "1986", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/323590a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v323/n6089/pdf/323590a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Clark:1986:FHR, author = "Nigel N. Clark", title = "Fractal harmonics and rugged materials", journal = j-NATURE, volume = "319", number = "6055", pages = "625--625", day = "20", month = feb, year = "1986", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/319625a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v319/n6055/pdf/319625a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Crutchfield:1986:C, author = "James P. Crutchfield and J. Doyne Farmer and Norman H. Packard and Robert S. Shaw", title = "Chaos", journal = j-SCI-AMER, volume = "255", number = "6", pages = "46--?? (Intl. ed. 38--49)", month = dec, year = "1986", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Thu Jan 28 06:54:54 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; Theory/nld.bib", acknowledgement = ack-nhfb, classification = "A0540 (Fluctuation phenomena, random processes, and Brownian motion); A0545 (Theory and models of chaotic systems)", keywords = "attractors; Brownian motion; causal relationships; causality; chaos; dynamical systems; fractals; order; Poincar{\'e} recurrence; prediction; randomness; state space; turbulence", treatment = "G General Review", } @Article{Ghidaglia:1986:FDA, author = "J.-M. Ghidaglia", title = "On the fractal dimension of attractors for viscous incompressible fluid flows", journal = j-SIAM-J-MATH-ANA, volume = "17", number = "5", pages = "1139--1157", month = sep, year = "1986", CODEN = "SJMAAH", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "58F12 (35Q10 76F99)", MRnumber = "88a:58122", MRreviewer = "J. E. Marsden", bibdate = "Sun Nov 28 19:23:56 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/17/5; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", } @Article{Gilbert:1986:FDS, author = "William J. Gilbert", title = "The fractal dimension of sets derived from complex bases", journal = j-CAN-MATH-BULL, volume = "29", number = "??", pages = "495--500", month = "????", year = "1986", CODEN = "CMBUA3", DOI = "http://dx.doi.org/10.4153/CMB-1986-078-1", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", bibdate = "Thu Sep 8 10:05:32 MDT 2011", bibsource = "http://cms.math.ca/cmb/v29/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/canmathbull.bib", acknowledgement = ack-nhfb, fjournal = "Canadian mathematical bulletin = Bulletin canadien de math{\'e}matiques", } @Article{Katz:1986:MPM, author = "Howard Katz", title = "A {Mandelbrot} Program for the {Macintosh}", journal = j-DDJ, volume = "11", number = "11", pages = "42--45", month = nov, year = "1986", CODEN = "DDJOEB", ISSN = "0888-3076", bibdate = "Thu Jan 9 09:35:43 MST 1997", bibsource = "Compendex database; http://www.ddj.com/index/author/index.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "723; 741; 921", journalabr = "Dr Dobb's J Software Tools", keywords = "Apple's MDS assembly-language development system; computer graphics; computer operating systems --- Program Assemblers; computer programs; computers, microcomputer; Imaging Techniques; Mandelbrot program; mathematical techniques --- Set Theory", } @Article{LaBrecque:1986:FA, author = "M. {La Brecque}", title = "Fractal Applications", journal = "Mosaic", volume = "17", number = "4", pages = "34--48", month = "????", year = "1986", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 16:35:10 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Lovejoy:1986:FCI, author = "S. Lovejoy and D. Schertzer and P. Ladoy", title = "Fractal characterization of inhomogeneous geophysical measuring networks", journal = j-NATURE, volume = "319", number = "6048", pages = "43--44", day = "2", month = jan, year = "1986", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/319043a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v319/n6048/pdf/319043a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{MacDonald:1986:FFD, author = "Mairi MacDonald and Naeem Jan", title = "Fractons and the fractal dimension of proteins", journal = j-CAN-J-PHYS, volume = "64", number = "10", pages = "1353--1355", year = "1986", CODEN = "CJPHAD", DOI = "http://dx.doi.org/10.1139/p86-239", ISSN = "0008-4204 (print), 1208-6045 (electronic)", ISSN-L = "0008-4204", bibdate = "Sat Sep 8 18:28:14 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nrcresearchpress.com/doi/abs/10.1139/p86-239", acknowledgement = ack-nhfb, eprint = "http://www.nrcresearchpress.com/doi/pdf/10.1139/p86-239", fjournal = "Canadian Journal of Physics = Journal canadien de physique", } @Article{Maddox:1986:GWF, author = "John Maddox", title = "Gentle warning on fractal fashions", journal = j-NATURE, volume = "322", number = "6077", pages = "303--303", day = "24", month = jul, year = "1986", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/322303a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v322/n6077/pdf/322303a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Miller:1986:DRT, author = "Gavin S. P. Miller", title = "The Definition and Rendering of Terrain Maps", journal = j-COMP-GRAPHICS, volume = "20", number = "4", pages = "39--48", month = aug, year = "1986", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:37 MST 2002", bibsource = "Graphics/imager/imager.86.bib; http://portal.acm.org/; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/15922/p39-miller/", acknowledgement = ack-nhfb, conference = "held in Dallas, Texas, August 18--22, 1986", keywords = "I37 terrain, I37 fractals, I37 rendering, model natural terrain stochastic", subject = "{\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism. {\bf I.3.3} Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation. {\bf I.6.3} Computing Methodologies, SIMULATION AND MODELING, Applications.", } @Article{Orbach:1986:DFN, author = "R. Orbach", title = "Dynamics of Fractal Networks", journal = j-SCIENCE, volume = "231", number = "4740", pages = "814--819", day = "21", month = feb, year = "1986", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.231.4740.814", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/231/4740/814.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Book{Peitgen:1986:BF, author = "Heinz-Otto Peitgen and Peter H. Richter", title = "The Beauty of Fractals", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 199", year = "1986", ISBN = "0-387-15851-0", ISBN-13 = "978-0-387-15851-8", LCCN = "QA447 .P45 1986", bibdate = "Wed Dec 15 10:40:44 1993", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", acknowledgement = ack-nhfb, } @Article{Pickover:1986:MCA, author = "C. A. Pickover", title = "A {Monte Carlo} Approach for {$\epsilon$} Placement in Fractal-Dimension Calculations for Waveform Graphs", journal = j-CGF, volume = "5", number = "3", pages = "203--209", month = sep, year = "1986", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Fri Jul 18 13:57:17 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, affiliation = "IBM, Yorktown Heights, NY, USA", affiliationaddress = "IBM, Yorktown Heights, NY, USA", classification = "723; 922; C1140G (Monte Carlo methods); C4190 (Other numerical methods)", corpsource = "Dept. of Comput. Sci., IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA", keywords = "Algorithms; analysis; computational geometry; computer graphics; computer programming; computerised; fractal-dimension calculations; fractals; mathematical statistics --- Monte Carlo Methods; Monte Carlo methods; natural; self-; shape-characterization; signal processing; similarity characterization; speech; structures; theory; waveform; waveform graph; waveform graphs, design", subject = "I.5.4 Computing Methodologies, PATTERN RECOGNITION, Applications, Waveform analysis \\ G.3 Mathematics of Computing, PROBABILITY AND STATISTICS", treatment = "T Theoretical or Mathematical", } @Article{Pountain:1986:TM, author = "Dick Pountain", title = "Turbocharging {Mandelbrot}", journal = j-BYTE, volume = "11", number = "9", pages = "359--366", month = sep, year = "1986", CODEN = "BYTEDJ", ISSN = "0360-5280 (print), 1082-7838 (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "/usr/local/src/bib/bibliography/Parallel/transputer.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/byte1980.bib", } @Article{Sander:1986:FGP, author = "Leonard M. Sander", title = "Fractal growth processes", journal = j-NATURE, volume = "322", number = "6082", pages = "789--793", day = "28", month = aug, year = "1986", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/322789a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v322/n6082/pdf/322789a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Schroeder:1986:PMS, author = "?. Schroeder", title = "Plotting the {Mandelbrot} Set", journal = j-BYTE, volume = "11", number = "??", pages = "??--??", month = "??", year = "1986", CODEN = "BYTEDJ", ISSN = "0360-5280 (print), 1082-7838 (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/byte1980.bib", } @Article{Termonia:1986:FFC, author = "Yves Termonia and Paul Meakin", title = "Formation of fractal cracks in a kinetic fracture model", journal = j-NATURE, volume = "320", number = "6061", pages = "429--431", day = "3", month = apr, year = "1986", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/320429a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v320/n6061/pdf/320429a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{VanDamme:1986:FVF, author = "Henri {Van Damme} and Fran{\c{c}}ois Obrecht and Pierre Levitz and L. Gatineau and Claude Laroche", title = "Fractal viscous fingering in clay slurries", journal = j-NATURE, volume = "320", number = "6064", pages = "731--733", day = "24", month = apr, year = "1986", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/320731a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v320/n6064/pdf/320731a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Vlcek:1986:FAL, author = "J. Vlcek and E. Cheung", title = "Fractal analysis of leaf shapes", journal = "Canadian Journal of Forest Research", volume = "16", number = "1", pages = "124--127", year = "1986", CODEN = "????", DOI = "http://dx.doi.org/10.1139/x86-020", ISSN = "????", bibdate = "Sat Sep 8 18:28:14 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nrcresearchpress.com/doi/abs/10.1139/x86-020", acknowledgement = ack-nhfb, eprint = "http://www.nrcresearchpress.com/doi/pdf/10.1139/x86-020", } @Article{Voss:1986:RFC, author = "R. F. Voss", title = "Random fractals: Characterization and measurement", journal = j-PHYSICA-SCRIPTA, volume = "T13", number = "??", pages = "27--32", month = "????", year = "1986", CODEN = "PHSTBO", ISSN = "0031-8949 (print), 1402-4896 (electronic)", ISSN-L = "0031-8949", bibdate = "Mon Sep 10 17:04:02 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Physica Scripta", } @Article{Vrscay:1986:JSM, author = "Edward R. Vrscay", title = "{Julia} Sets and {Mandelbrot}-Like Sets Associated With Higher Order {Schr{\"o}der} Rational Iteration Functions: a Computer Assisted Study", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "151--169", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "58F08 (30D05 65E05)", MRnumber = "87k:58137", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", URL = "http://www.jstor.org/stable/2008220", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Georgia Inst. of Technol., Atlanta, GA, USA", fjournal = "Mathematics of Computation", keywords = "complex; cubic polynomials; family; free critical points; functional analysis; higher order Schroder; iterative methods; Julia sets; Mandelbrot-like sets; Newton's method; one-parameter; orbits; polynomials; rational iteration functions; Riemann sphere", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1987:BPM, author = "Anonymous", title = "Beauty and Profundity: {The Mandelbrot} Set and a Flock of its Cousins Called {Julia}", journal = j-SCI-AMER, volume = "257", number = "5", pages = "118--??", month = nov, year = "1987", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Thu Jan 28 14:31:50 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, xxnewdata = "1998.01.30", } @Article{Campbell:1987:TST, author = "Philip Campbell", title = "Is there such a thing as fractal music?", journal = j-NATURE, volume = "325", number = "6107", pages = "766--766", day = "26", month = feb, year = "1987", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/325766a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v325/n6107/pdf/325766a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Chen:1987:AZL, author = "Ye-Sho Chen and Ferdinand F. Leimkuhler", title = "Analysis of {Zipf}'s law: An index approach", journal = j-INFO-PROC-MAN, volume = "23", number = "??", pages = "171--182", month = "????", year = "1987", CODEN = "IPMADK", DOI = "http://dx.doi.org/10.1016/0306-4573(87)90002-1", ISSN = "0306-4573 (print), 1873-5371 (electronic)", ISSN-L = "0306-4573", bibdate = "Sat Nov 12 10:49:03 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", ZMnumber = "Zbl 0614.62150", abstract = "A rigorous analysis of Zipf's law is made using an index for the sequence of observed values of the variables in a Zipf-type relationship. Three important properties relating rank, count, and frequency are identified. Using this approach, the shape of Zipf-type curves can be described in terms of three distinct regions and two parameters of the Mandelbrot--Zipf law. This result has considerable practical significance, since it provides rigorous foundations for the application of Zipf's law.", acknowledgement = ack-nhfb, classmath = "62P99 (Appl. of statistics)", fjournal = "Information Processing and Management", keywords = "index approach; Mandelbrot-Zipf law; Zipf's law", } @Article{Cheng:1987:FNB, author = "Zheming Cheng and Robert Savit", title = "Fractal and nonfractal behavior in {L{\'e}vy} flights", journal = j-J-MATH-PHYS, volume = "28", number = "3", pages = "592--597", month = mar, year = "1987", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.527644", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "60J20 (82A31)", MRnumber = "88f:60122", MRreviewer = "Cheng Xun Wu", bibdate = "Mon Oct 31 11:57:57 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v28/i3/p592_s1", acknowledgement = ack-nhfb, pagecount = "6", } @Article{Daccord:1987:FPC, author = "G{\'e}rard Daccord and Roland Lenormand", title = "Fractal patterns from chemical dissolution", journal = j-NATURE, volume = "325", number = "6099", pages = "41--43", day = "1", month = jan, year = "1987", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/325041a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v325/n6099/pdf/325041a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Dewdney:1987:CRBb, author = "A. K. Dewdney", title = "Computer Recreations: Beauty and profundity: the {Mandelbrot} set and a flock of its cousins called {Julia}", journal = j-SCI-AMER, volume = "257", number = "5", pages = "140--145", month = nov, year = "1987", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "Graphics/imager/imager.87.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", keywords = "fractals", } @Article{Grebogi:1987:CSA, author = "Celso Grebogi and Edward Ott and James A. Yorke", title = "Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics", journal = j-SCIENCE, volume = "238", number = "4827", pages = "632--638", day = "30", month = oct, year = "1987", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.238.4827.632", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/238/4827/632.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Guivarch:1987:RSE, author = "Yves Guivarc'h", title = "Remarques sur les solutions d'une {\'e}quation fonctionnelle non lin{\'e}aire de {Beno{\^\i}t Mandelbrot}", journal = "C. R. Acad. Sci. Paris S{\'e}r. I Math.", volume = "305", number = "4", pages = "139--141", month = "????", year = "1987", CODEN = "CASMEI", ISSN = "0249-6291", MRclass = "60G57 (39B20 60E07 60F15)", MRnumber = "901628 (88j:60096)", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}rie I. Math{\'e}matique", } @Article{Lewis:1987:GSS, author = "J. P. Lewis", title = "Generalized Stochastic Subdivision", journal = j-TOG, volume = "6", number = "3", pages = "167--190", month = jul, year = "1987", CODEN = "ATGRDF", ISSN = "0730-0301 (print), 1557-7368 (electronic)", ISSN-L = "0730-0301", bibdate = "Thu Aug 25 23:56:51 1994", bibsource = "Graphics/imager/imager.87.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tog.bib", URL = "http://www.acm.org/pubs/toc/Abstracts/0730-0301/35069.html", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Graphics", keywords = "algorithms; color; fractals; modeling of natural phenomena; shading; shadowing; stochastic interpolation; stochastic models; texture synthesis; waves", subject = "{\bf I.3.3}: Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation. {\bf I.3.7}: Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Color, shading, shadowing, and texture. {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Probabilistic algorithms (including Monte Carlo).", } @Article{Maddox:1987:UFS, author = "John Maddox", title = "The {Universe} as a fractal structure", journal = j-NATURE, volume = "329", number = "6136", pages = "195--195", day = "17", month = sep, year = "1987", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/329195a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v329/n6136/pdf/329195a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{McHardy:1987:FXR, author = "Ian McHardy and Bozena Czerny", title = "Fractal {X}-ray time variability and spectral invariance of the {Seyfert} galaxy {NGC5506}", journal = j-NATURE, volume = "325", number = "6106", pages = "696--698", day = "19", month = feb, year = "1987", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/325696a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v325/n6106/pdf/325696a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Pickover:1987:GBO, author = "C. A. Pickover", title = "Graphics, Bifurcation, Order and Chaos", journal = j-CGF, volume = "6", number = "1", pages = "26--33", month = jan, year = "1987", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Fri Jul 18 13:58:02 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, affiliation = "IBM, Yorktown Heights, NY, USA", affiliationaddress = "IBM, Yorktown Heights, NY, USA", classification = "723; 921; C1160 (Combinatorial mathematics); C6130B (Graphics techniques)", corpsource = "Dept. of Comput. Sci., IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA", keywords = "algorithms; bifurcation graphics system; bifurcation maps; bifurcation plot generator; bifurcation theory, design; chaos equation; chaos theory; computational geometry; computer graphics; computer-based system; fractals; Interactive; interactive graphics system; mathematical techniques --- Applications; nonlinear systems", subject = "I.3.m Computing Methodologies, COMPUTER GRAPHICS, Miscellaneous", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Sander:1987:FGa, author = "Leonard M. Sander", title = "Fractal Growth", journal = j-SCI-AMER, volume = "256", number = "1", pages = "82--88", month = jan, year = "1987", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Thu Jan 28 14:31:50 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "A0550 (Lattice theory and statistics; A0560 (Transport processes: theory); A4755K (Multiphase flows); A6470D (Solid-liquid transitions); Ising problems)", keywords = "air bubbles; bubbles; crystallisation; diffusion; fluids; fractals; lattice theory; lattice theory and statistics; percolation", treatment = "G General Review", xxnewdata = "1998.01.30", } @Article{Sander:1987:FGb, author = "Leonard M. Sander", title = "Fractal Growth", journal = j-SCI-AMER, volume = "256", number = "1", pages = "94--100", month = jan, year = "1987", CODEN = "SCAMAC", DOI = "http://dx.doi.org/10.1038/scientificamerican0187-94", ISSN = "0036-8733 (print), 1946-7087 (electronic)", ISSN-L = "0036-8733", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/scientificamerican/journal/v256/n1/pdf/scientificamerican0187-94.pdf", acknowledgement = ack-nhfb, ajournal = "Sci. Amer.", fjournal = "Scientific American", } @Article{Saupe:1987:ECJ, author = "Dietmar Saupe", title = "Efficient computation of {Julia} sets and their fractal dimension", journal = j-PHYSICA-D, volume = "28", number = "??", pages = "358--370", month = "????", year = "1987", CODEN = "PDNPDT", ISSN = "0167-2789 (print), 1872-8022 (electronic)", ISSN-L = "0167-2789", bibdate = "Mon Sep 10 16:52:11 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Physica. D, Nonlinear phenomena", } @Article{Schroeder:1987:TST, author = "Manfred R. Schroeder", title = "Is there such a thing as fractal music?", journal = j-NATURE, volume = "325", number = "6107", pages = "765--766", day = "26", month = feb, year = "1987", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/325765c0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v325/n6107/pdf/325765c0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Book{Anonymous:1988:MM, author = "Anonymous", title = "{Mandelbrot} magic", publisher = "Left Coast Software", address = "Cupertino, CA, USA", edition = "Version 3.1", year = "1988", LCCN = "QA614.86 .M36 1989", bibdate = "Mon Sep 10 13:47:00 MDT 2012", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "One computer disk.", acknowledgement = ack-nhfb, remark = "Mandelbrot magic generates color displays (``slides'') of the Mandelbrot set and Julia sets.", subject = "Fractals", } @Article{Barnsley:1988:BWC, author = "Michael F. Barnsley and Alan D. Sloan", title = "A Better Way to Compress Images", journal = j-BYTE, volume = "13", number = "??", pages = "215--223", month = jan, year = "1988", CODEN = "BYTEDJ", ISSN = "0360-5280 (print), 1082-7838 (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "/usr/local/src/bib/bibliography/Graphics/imager/imager.88.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib; http://www.math.utah.edu/pub/tex/bib/byte1980.bib", } @Book{Barnsley:1988:FE, author = "Michael Barnsley", title = "Fractals Everywhere", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xii + 394", year = "1988", ISBN = "0-12-079062-9", ISBN-13 = "978-0-12-079062-3", LCCN = "QA614.86 .B37 1988", bibdate = "Tue Dec 14 22:40:15 1993", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", acknowledgement = ack-nhfb, } @InCollection{Barnsley:1988:FMR, author = "Michael F. Barnsley", title = "Fractal modelling of real world images", crossref = "Peitgen:1988:SFI", chapter = "5", pages = "219--242", year = "1988", bibdate = "Wed Mar 8 12:50:12 MST 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", crindex = "DS 516.15 BARN", keywords = "UCT barcode 1988 03837 401", } @Article{Barnsley:1988:HCI, author = "Michael F. Barnsley and Arnaud Jacquin and Fran{\c{c}}ois Malassenet and Laurie Reuter and Alan D. Sloan", title = "Harnessing Chaos for Image Synthesis", journal = j-COMP-GRAPHICS, volume = "22", number = "4", pages = "131--140", month = aug, year = "1988", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:39 MST 2002", bibsource = "Graphics/imager/imager.88.bib; http://portal.acm.org/; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/54852/p131-barnsley/", acknowledgement = ack-nhfb, conference = "held in Atlanta, Georgia; 1--5 August 1988", keywords = "algorithms; design; iterated function systems, fractals, textures, geometric modeling; theory", subject = "{\bf I.3.3} Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation, Display algorithms. {\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Color, shading, shadowing, and texture. {\bf I.3.3} Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation, Digitizing and scanning. {\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations. {\bf F.2.2} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Geometrical problems and computations.", } @Article{Bridger:1988:LMS, author = "Mark Bridger", title = "Looking at the {Mandelbrot} Set", journal = j-COLLEGE-MATH-J, volume = "19", number = "4", pages = "353--363", month = sep, year = "1988", CODEN = "????", ISSN = "0746-8342 (print), 1931-1346 (electronic)", ISSN-L = "0746-8342", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2686471", acknowledgement = ack-nhfb, fjournal = "College Mathematics Journal", } @Article{Ciarcia:1988:CCCc, author = "S. Ciarcia", title = "{Ciarcia}'s circuit cellar. 3 {A} supercomputer", journal = j-BYTE, volume = "13", number = "13", pages = "327--339", month = dec, year = "1988", CODEN = "BYTEDJ", ISSN = "0360-5280 (print), 1082-7838 (electronic)", bibdate = "Thu Sep 12 17:54:09 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/byte1980.bib", acknowledgement = ack-nhfb, classification = "C5440 (Multiprocessor systems and techniques)", keywords = "Circuit Cellar Mandelbrot engine; Driver program; Hardware; IBM PC AT; Multiprocessor architectures; Supercomputer", thesaurus = "Multiprocessing systems", } @Article{Ciarcia:1988:Sb, author = "S. Ciarcia", title = "A supercomputer. 2", journal = j-BYTE, volume = "13", number = "12", pages = "399--406", month = nov, year = "1988", CODEN = "BYTEDJ", ISSN = "0360-5280 (print), 1082-7838 (electronic)", bibdate = "Thu Sep 12 17:54:09 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/byte1980.bib", acknowledgement = ack-nhfb, classification = "C5440 (Multiprocessor systems and techniques)", keywords = "Algorithms; Design issues; Mandelbrot engine; Mandelbrot set images; Supercomputer", thesaurus = "Computerised picture processing; Multiprocessing systems", } @Article{Garnett:1988:CAD, author = "Lucy Garnett", title = "A computer algorithm for determining the {Hausdorff} dimension of certain fractals", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "291--300", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "58F11 (30D05)", MRnumber = "89e:58070", MRreviewer = "Hermann Haase", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C7310 (Mathematics)", corpsource = "Baruch Coll., New York, NY, USA", keywords = "computer algorithm; fractal; fractals; Hausdorff dimension; Julia set; mathematics computing; Newton method; nonintegral; numerical methods; quadratic mapping; self-expanding map", treatment = "T Theoretical or Mathematical", } @Article{Garrison:1988:EEM, author = "Peter Garrison", title = "Expeditionary Equipment For {Mandelbrot} Adventurers", journal = j-CUJ, volume = "6", number = "6", pages = "75--??", month = jun, year = "1988", CODEN = "????", ISSN = "0898-9788", bibdate = "Fri Aug 30 16:52:23 MDT 1996", bibsource = "http://www.cuj.com/cbklist.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{H:1988:FS, author = "J. H.", title = "Fractal Shorthand", journal = j-SCI-AMER, volume = "258", number = "2", pages = "28--28", month = feb, year = "1988", CODEN = "SCAMAC", DOI = "http://dx.doi.org/10.1038/scientificamerican0288-28a", ISSN = "0036-8733 (print), 1946-7087 (electronic)", ISSN-L = "0036-8733", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/scientificamerican/journal/v258/n2/pdf/scientificamerican0288-28a.pdf", acknowledgement = ack-nhfb, ajournal = "Sci. Amer.", fjournal = "Scientific American", } @Article{Kopelman:1988:FRK, author = "Raoul Kopelman", title = "Fractal Reaction Kinetics", journal = j-SCIENCE, volume = "241", number = "4873", pages = "1620--1626", day = "23", month = sep, year = "1988", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.241.4873.1620", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/241/4873/1620.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Milne:1988:MFG, author = "Bruce T. Milne", title = "Measuring the fractal geometry of landscapes", journal = j-APPL-MATH-COMP, volume = "27", number = "1", pages = "67--79", month = "????", year = "1988", CODEN = "AMHCBQ", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "92A17", MRnumber = "89f:92059", bibdate = "Thu Feb 27 09:47:09 MST 1997", bibsource = "http://www.elsevier.com/locate/issn/00963003; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Pendry:1988:STD, author = "John Pendry", title = "Symmetry and Transport in Disordered Systems", journal = j-IBM-JRD, volume = "32", number = "1", pages = "137--143", month = jan, year = "1988", CODEN = "IBMJAE", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Tue Mar 25 14:26:59 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib", abstract = "The transfer matrix for a disordered system enables averages of integer powers of the resistance to be found, R**N; application of the symmetric group generalizes this formula to fractional and negative N, providing a powerful tool for the study of transport. Consequences for fluctuations in resistance, 1/f noise, and frequency response are discussed, as well as a new sort of state, of fractal dimension 1/2, which is responsible for transport in localized systems.", acknowledgement = ack-nhfb, classcodes = "A0210 (Algebra, set theory, and graph theory); A0250 (Probability theory, stochastic processes, and statistics); A0540 (Fluctuation phenomena, random processes, and Brownian motion); A0560 (Transport processes: theory); A7290 (Other topics in electronic transport in condensed matter)", classification = "531; 701; 921; 933", corpsource = "Blackett Lab., Imperial Coll., London, UK", journalabr = "IBM J Res Dev", keywords = "1/2; 1/f noise; direct products; disordered systems; electric conductivity; fluctuations; fluctuations in; fractal dimension; fractals; frequency response; materials; matrix algebra; metallic conductors; noise; Order-Disorder; probability; probability distributions; random; resistance; symmetric group; symmetry and transport; transfer matrix; transfer matrix generalization; transport in disordered systems; transport in localized systems; transport processes", treatment = "T Theoretical or Mathematical", } @Article{Prusinkiewicz:1988:KCA, author = "Przemyslaw Prusinkiewicz and Glen Sandness", title = "{Koch} Curves as Attractors and Repellers", journal = j-IEEE-CGA, volume = "8", number = "6", pages = "26--40", month = nov, year = "1988", CODEN = "ICGADZ", ISSN = "0272-1716 (print), 1558-1756 (electronic)", ISSN-L = "0272-1716", bibdate = "Sat Jan 25 06:42:48 MST 1997", bibsource = "Compendex database; Graphics/siggraph/88.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeecga.bib", acknowledgement = ack-nhfb, classification = "721; 723; 741; 921", conference = "Graphics Interface 88, Selected Papers", fjournal = "IEEE Computer Graphics and Applications", journalabr = "IEEE Comput Graphics Appl", keywords = "Attracting Method; Automata Theory --- Formal Languages; Computer Graphics; fractals; Fractals; Image Processing; Julia Sets; Koch Curves; Mathematical Techniques --- Iterative Methods; Repelling Method", meetingaddress = "Edmonton, Alberta, Can", meetingdate = "Jun 6--10 1988", meetingdate2 = "06/6--10/88", sponsor = "Canadian Man-Computer Communications Soc, Can", } @Article{Stepoway:1988:PRF, author = "Stephen L. Stepoway and Michael Christiansen", title = "Parallel Rendering of Fractal Surfaces", journal = j-INT-J-PARALLEL-PROG, volume = "17", number = "1", institution = "SMU", pages = "43--58", month = feb, year = "1988", CODEN = "IJPPE5", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01379322", ISSN = "0885-7458 (print), 1573-7640 (electronic)", ISSN-L = "0885-7458", bibdate = "Wed Jul 6 16:39:41 MDT 2005", bibsource = "Graphics/imager/imager.88.bib; Graphics/rosenfeld/1989.bib; Graphics/siggraph/88.bib; http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0885-7458&volume=17&issue=1; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0885-7458&volume=17&issue=1&spage=43", acknowledgement = ack-nhfb, annote = "Fractal surfaces are a useful modeling technique for terrain in computer graphics. Although an algorithm exists for ray tracing (Mandelbrot) fractal surfaces, the technique is computationally very expensive. The large degree of parallelism inherent in the problem suggests the use of parallel architectures for generating these images. A parallel rendering algorithm is described for shared memory MIMD machines which takes advantage of image coherence to reduce computation. This algorithm has, on a Sequent Balance 21000 with 20 processors, demonstrated a near-linear speedup. The possible synchronization bottlenecks are examined by statically assigning different numbers of CPUs to sections of the screen.", classification = "C5470 (Performance evaluation and testing); C6130B (Graphics techniques)", corpsource = "Dept. of Comput. Sci. and Eng., Southern Methodist Univ., Dallas, TX, USA", fjournal = "International Journal of Parallel Programming", keywords = "computer graphics; fractal surfaces; fractals; IMAGE OUTPUT, STATISTICS; MIMD machines; parallel algorithms; parallel rendering algorithm; performance evaluation; Sequent Balance 21000; synchronization bottlenecks", treatment = "P Practical", } @Article{Stewart:1988:BFD, author = "Ian Stewart", title = "The beat of a fractal drum", journal = j-NATURE, volume = "333", number = "6170", pages = "206--207", day = "19", month = may, year = "1988", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/333206a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v333/n6170/pdf/333206a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Thiebaut:1988:FDI, author = "Dominique Thiebaut", title = "From the fractal dimension of the intermiss gaps to the cache-miss ratio", journal = j-IBM-JRD, volume = "32", number = "6", pages = "796--803", month = nov, year = "1988", CODEN = "IBMJAE", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Tue Mar 25 14:26:59 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib", abstract = "This work extends a model proposed by Voldman, Mandelbrot, et al. on the fractal nature of the gaps separating cache misses, and shows how the fractal dimension of the gap distribution can be used to predict the miss ratio experienced by the program that has generated the series of cache misses. This result supports the thesis that the fractal dimension of the distribution of the intermiss gaps is a potentially powerful measure for program characterization.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Smith Coll.", affiliationaddress = "Northampton, MA, USA", classcodes = "C6120 (File organisation)", classification = "721; 722; 723; C6120 (File organisation)", corpsource = "Dept. of Comput. Sci., Smith Coll., Northampton, MA, USA", journalabr = "IBM J Res Dev", keywords = "buffer storage; Cache-miss ratio; Cache-Miss Ratio; cache-miss ratio; Computer Metatheory; Computer Software; Data Storage, Digital; Fractal dimension; fractal dimension; Fractal Dimension; fractals; Gap Distribution; Gap distribution; gap distribution; intermiss gaps; Intermiss gaps; Intermiss Gaps; Memory access pattern; memory access pattern; Memory Caches; Program characterization; Program Characterization; program characterization; storage management", thesaurus = "Buffer storage; Fractals; Storage management", treatment = "T Theoretical or Mathematical", } @Article{Wainer:1988:GFL, author = "M. Wainer", title = "Generating fractal-like surfaces on general purpose mesh-connected computers", journal = j-IEEE-TRANS-COMPUT, volume = "37", number = "7", pages = "882--886", month = jul, year = "1988", CODEN = "ITCOB4", DOI = "http://dx.doi.org/10.1109/12.2238", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Sat Jul 9 08:33:27 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=2238", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Computers", } @Article{Anonymous:1989:CAC, author = "Anonymous", title = "{Conference on Arithmetics and Coding Systems}", journal = j-THEOR-COMP-SCI, volume = "65", number = "2", pages = "??--??", day = "28", month = jun, year = "1989", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Sat Nov 22 13:29:49 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs1985.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C1260 (Information theory); C4240 (Programming and algorithm theory)", conflocation = "Marseille-Luminy, France; 9-13 June 1989", conftitle = "Conference on Arithmetics and Coding Systems", keywords = "arithmetic sequences; arithmetics; beta -expansions; classification; coding systems; combinatorial mathematics; computational complexity; diagonal continued fraction; encoding; ergodic properties; finitely generated sofic systems; formal logic; fractal functions; Fredholm determinant; fuller identities; geometry; infinite words; labelled subtrees; linear subword complexity; piecewise linear transformation; q-adic spectral analysis; randomly labelled tree; rational functions; rational probability measures; real-time constructed sequences; sequence; skew products; statistic; symbolic dynamics; Weyl sums", pubcountry = "Netherlands", } @Article{Anonymous:1989:TMS, author = "Anonymous", title = "A Tour of the {Mandelbrot} Set aboard the {Mandelbus}", journal = j-SCI-AMER, volume = "260", number = "2", pages = "88--??", month = feb, year = "1989", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Thu Jan 28 14:31:50 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, xxnewdata = "1998.01.30", } @Article{Barnsley:1989:HVF, author = "M. F. Barnsley and J. Elton and D. Hardin and P. Massopust", title = "Hidden Variable Fractal Interpolation Functions", journal = j-SIAM-J-MATH-ANA, volume = "20", number = "5", pages = "1218--1242", month = sep, year = "1989", CODEN = "SJMAAH", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "26A30 (41A05 58F13)", MRnumber = "90h:26004", MRreviewer = "Stephen Demko", bibdate = "Sun Nov 28 19:24:53 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/20/5; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", } @Article{Barnsley:1989:MSW, author = "M. F. Barnsley and D. P. Hardin", title = "A {Mandelbrot} Set whose Boundary is Piecewise Smooth", journal = j-TRANS-AM-MATH-SOC, volume = "315", number = "2", pages = "641--659", month = oct, year = "1989", CODEN = "TAMTAM", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2001299", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", } @Article{Bialy:1989:FGH, author = "Harvey Bialy", title = "The Fractal Geometry of the Heart", journal = "Bio/Technology", volume = "7", number = "12", pages = "1219--1219", month = dec, year = "1989", CODEN = "????", DOI = "http://dx.doi.org/10.1038/nbt1289-1219", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nbt/journal/v7/n12/full/nbt1289-1219.html", acknowledgement = ack-nhfb, } @Article{Cahn:1989:FDF, author = "Robert W. Cahn", title = "Fractal dimension and fracture", journal = j-NATURE, volume = "338", number = "6212", pages = "201--202", day = "16", month = mar, year = "1989", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/338201a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v338/n6212/pdf/338201a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Cawley:1989:HSF, author = "Robert Cawley", title = "The Hard Science of Fractals", journal = j-SCIENCE, volume = "245", number = "4920", pages = "873--873", day = "25", month = aug, year = "1989", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.245.4920.873", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/245/4920/873.1.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Dewdney:1989:CRT, author = "A. K. Dewdney", title = "Computer Recreations: a tour of the {Mandelbrot} set aboard the {Mandelbus}", journal = j-SCI-AMER, volume = "260", number = "2", pages = "108--111", month = feb, year = "1989", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "Graphics/imager/imager.89.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", keywords = "fractals", } @Article{Dubuc:1989:TFS, author = "Beno{\^\i}t Dubuc", title = "On {Takagi} fractal surfaces", journal = j-CAN-MATH-BULL, volume = "32", number = "??", pages = "377--384", month = "????", year = "1989", CODEN = "CMBUA3", DOI = "http://dx.doi.org/10.4153/CMB-1989-055-3", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", bibdate = "Thu Sep 8 10:05:48 MDT 2011", bibsource = "http://cms.math.ca/cmb/v32/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/canmathbull.bib", acknowledgement = ack-nhfb, fjournal = "Canadian mathematical bulletin = Bulletin canadien de math{\'e}matiques", } @Article{Dumont:1989:SNF, author = "J.-M. Dumont and Alain Thomas", title = "Syst{\'e}mes de num{\'e}ration et fonction fractales relatifs aux substitutions. ({French}) [{Systems} of numeration and fractal functions relative to substitutions]", journal = j-THEOR-COMP-SCI, volume = "65", number = "2", pages = "153--169", day = "28", month = jun, year = "1989", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Sat Nov 22 13:29:49 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs1985.bib", acknowledgement = ack-nhfb, affiliation = "Dumont, Jean-Marie", affiliationaddress = "Faculte des Sciences de Luminy, Marseille, Fr", classification = "723; 921; B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", conference = "Conference on Arithmetics and Coding Systems", conflocation = "Marseille-Luminy, France; 9-13 June 1989", conftitle = "Conference on Arithmetics and Coding Systems", corpsource = "Dept. de Math., Fac. des Sci. de Luminy, Marseille, France", journalabr = "Theor Comput Sci", keywords = "asymptotic formula; Computer Metatheory; finite alphabet; Fractal Functions; fractal functions; integers; Mathematical Techniques; Number Theory; number theory; numeration systems; real numbers; Self-Affine Functions; self-affine functions; Substitutions; substitutions", language = "French", meetingaddress = "Marseille, Fr", meetingdate = "Jun 9--13 1987", meetingdate2 = "06/09--13/87", pubcountry = "Netherlands", treatment = "T Theoretical or Mathematical", } @Article{Entwistle:1989:JSA, author = "Ian D. Entwistle", title = "{Julia} set art and fractals in the complex plane", journal = j-COMPUTERS-AND-GRAPHICS, volume = "13", number = "3", pages = "389--392", month = "????", year = "1989", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; Graphics/imager/imager.89.bib; Graphics/siggraph/89.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Woodside Gardens", affiliationaddress = "Sittingbourne, Engl", classification = "723; 921; 922", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Chaos; Complex Functions; Computer Graphics--Applications; Fractals; Julia Sets; Mathematical Techniques; Nonlinear Equations", } @Article{Finkel:1989:FDG, author = "David L. Finkel", title = "Fractal displays of genomic {DNA}. {I}. {Eco RI} fractal lattice of buffalo rat", journal = j-IJQC, volume = "36", number = "5", pages = "575--586", month = nov, year = "1989", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560360505", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Mon Oct 3 12:46:01 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ijqc1980.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", onlinedate = "19 Oct 2004", } @Article{Fortescue:1989:NPU, author = "Peter D. Fortescue and Geoffrey S. Puterbaugh", title = "Note on the practical use of the {VGA} monitor for the display of fractal images", journal = j-COMPUTERS-AND-GRAPHICS, volume = "13", number = "4", pages = "559--560", month = "????", year = "1989", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; Graphics/imager/imager.89.bib; Graphics/siggraph/89.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "General Atomic", affiliationaddress = "La Jolla, CA, USA", classification = "722; 723", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Computer Graphics; Computer Peripheral Equipment --- Graphics; Fractals; VGA Monitor", } @Article{Fowler:1989:DSM, author = "Anthony D. Fowler and H. Eugene Stanley and G{\'e}rard Daccord", title = "Disequilibrium silicate mineral textures: fractal and non-fractal features", journal = j-NATURE, volume = "341", number = "6238", pages = "134--138", day = "14", month = sep, year = "1989", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/341134a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v341/n6238/pdf/341134a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Gomes:1989:FDF, author = "M. A. F. Gomes and G. L. Vasconcelos", title = "Fragmentation dynamics in fractal and {Euclidean} systems", journal = j-COMP-PHYS-COMM, volume = "54", number = "2--3", pages = "257--261", month = jun # "\slash " # jul, year = "1989", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/0010-4655(89)90089-1", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 10:28:28 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/0010465589900891", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Hart:1989:RTD, author = "John C. Hart and Daniel J. Sandin and Louis H. Kauffman", title = "Ray tracing deterministic {$3$-D} fractals", journal = j-COMP-GRAPHICS, volume = "23", number = "3", pages = "289--296", month = jul, year = "1989", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:40 MST 2002", bibsource = "Graphics/imager/imager.89.bib; http://portal.acm.org/; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/74333/p289-hart/", acknowledgement = ack-nhfb, annote = "As shown in 1982, Julia sets of quadratic functions as well as many other deterministic fractals exist in spaces of higher dimensionality than the complex plane. Originally a boundary-tracking algorithm was used to view these structures but required a large amount of storage space to operate. By ray tracing these objects, the storage facilities of a graphics workstation frame buffer are sufficient. A short discussion of a specific set of 3-D deterministic fractals precedes a full description of a ray-tracing algorithm applied to these objects. A comparison with the boundary-tracing method and applications to other 3-D deterministic fractals are also included.", conference = "held in Boston, Massachusetts; 31 July -- 4 August 1989", keywords = "algorithms; fractal; theory", subject = "{\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations. {\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Color, shading, shadowing, and texture.", } @Article{Keller:1989:TDS, author = "James M. Keller and Susan Chen and Richard M. Crownover", title = "Texture description and segmentation through fractal geometry", journal = j-CVGIP, volume = "45", number = "2", pages = "150--166", month = feb, year = "1989", CODEN = "CVGPDB", ISSN = "0734-189X", bibdate = "Thu Feb 6 18:44:11 MST 1997", bibsource = "Compendex database; Graphics/rosenfeld/1989.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/cvgip.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Electr. and Comput. Eng., Missouri Univ., Columbia, MO, USA", affiliationaddress = "Columbia, MO, USA", classification = "723; 921; C1250 (Pattern recognition); C5260B (Computer vision and picture processing)", fjournal = "Computer Vision, Graphics, and Image Processing", journalabr = "Comput Vision Graphics Image Process", keywords = "Fractal dimension; Fractal Geometry; Fractal geometry; Image Analysis; Image Processing; Image Segmentation; Image surfaces; Image Texture Description; Lacunarity, image property, statistics; Mathematical Techniques--Geometry; Natural phenomena; Natural textures; Texture description; Texture measures; Texture segmentation", thesaurus = "Computer vision; Fractals; Surface texture", } @Article{Landsberg:1989:RBS, author = "P. T. Landsberg", title = "Review: {{\booktitle{The Science of Fractal Images}}. by Heinz-Otto Peitgen, Dietmar Saupe, M. F. Barnsley, R. L. Devaney, B. B. Mandelbrot, R. F. Voss, Y. Fisher, M. McGuire}", journal = j-LEONARDO, volume = "22", number = "3/4", pages = "455--456", month = "????", year = "1989", CODEN = "LEONDP", ISSN = "0024-094X (print), 1530-9282 (electronic)", ISSN-L = "0024-094X", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1575447", acknowledgement = ack-nhfb, fjournal = "Leonardo (Oxford, England)", } @Article{Lewis:1989:ASN, author = "J. P. Lewis", title = "Algorithms for Solid Noise Synthesis", journal = j-COMP-GRAPHICS, volume = "23", number = "3", pages = "263--270", month = jul, year = "1989", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:40 MST 2002", bibsource = "Graphics/imager/imager.89.bib; http://portal.acm.org/; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/74333/p263-lewis/", acknowledgement = ack-nhfb, conference = "held in Boston, Massachusetts; 31 July -- 4 August 1989", keywords = "algorithms; solid noise, texture, stochastic modeling, simulation of natural phenomena, texture synthesis, fractals", subject = "{\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations. {\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Color, shading, shadowing, and texture. {\bf I.3.3} Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation, Display algorithms.", } @Article{Meakin:1989:WF, author = "Paul Meakin", title = "Work with Fractals", journal = j-SCIENCE, volume = "245", number = "4925", pages = "1515--1516", day = "29", month = sep, year = "1989", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.245.4925.1515-a", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/245/4925/1515.2.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Musgrave:1989:SRE, author = "F. Kenton Musgrave and Craig E. Kolb and Robert S. Mace", title = "The Synthesis and Rendering of Eroded Fractal Terrains", journal = j-COMP-GRAPHICS, volume = "23", number = "3", pages = "41--50", month = jul, year = "1989", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:40 MST 2002", bibsource = "Graphics/imager/imager.89.bib; http://portal.acm.org/; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/74333/p41-musgrave/", acknowledgement = ack-nhfb, annote = "info on efficiently ray tracing height fields \\ In standard fractal terrain models based on fractional Brownian motion the statistical character of the surface is, by design, the same everywhere. A new approach to the synthesis of fractal terrain height fields is presented which, in contrast to previous techniques, features locally independent control of the frequencies composing the surface, and thus local control of fractal dimension and other statistical characteristics. The new technique, termed {\em noise synthesis}, is intermediate in difficulty of implementation, between simple stochastic subdivision and Fourier filtering or generalized stochastic subdivision, and does not suffer the drawbacks of creases or periodicity. Varying the local crossover scale of fractal character or the fractal dimension with altitude or other functions yields more realistic first approximations to eroded landscapes. A simple physical erosion model is then suggested which simulates hydraulic and thermal erosion processes to create global stream/valley networks and talus slopes. Finally, an efficient ray tracing algorithm for general height fields, of which most fractal terrains are a subset, is presented.", conference = "held in Boston, Massachusetts; 31 July -- 4 August 1989", keywords = "algorithms; fractal, terrain models, stochastic subdivision, fractional Brownian motion, fractal dimension, lacunarity, crossover scale, erosion models, height fields, ray tracing", subject = "{\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Color, shading, shadowing, and texture. {\bf I.3.3} Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation, Display algorithms. {\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations.", } @Article{Parsons:1989:IRU, author = "Michael S. Parsons", title = "Image Representations using {Miranda Laws}", journal = j-CGF, volume = "8", number = "2", pages = "99--106", month = jun, year = "1989", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Fri Jul 18 14:02:05 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, affiliation = "Rutherford Appleton Lab", affiliationaddress = "Chilton, Engl", classification = "723; 902; C6110 (Systems analysis and programming); C6120 (File organisation); C6130B (Graphics techniques); C6140D (High level languages)", conference = "7th Annual Eurographic (UK) Conference", corpsource = "Rutherford Appleton Lab., Chilton, Didcot, UK", keywords = "Algebraic data type; algebraic data type; applicative language Miranda; Applicative language Miranda; computer graphics; Computer Graphics; computer graphics; Computer Programming Languages--Applications; Data Processing--Data Structures; data structures; Fractal images; fractal images; fractals; functional; graphical ideas; Graphical ideas; high level languages; image; Image Processing--Image Coding; Image representations; image structures; Image structures; image structures; Image Structures, algorithms; languages, Miranda laws; Miranda laws; Primitives; primitives; programming; Programming Language Miranda; quadtrees; Quadtrees; quadtrees; representations; self-dividing line lists; Self-dividing line lists; self-dividing line lists; Standards", meetingaddress = "Manchester, Engl", meetingdate = "Mar 29--31 1989", meetingdate2 = "03/29--31/89", subject = "D.3.2 Software, PROGRAMMING LANGUAGES, Language Classifications, Miranda \\ I.3.4 Computing Methodologies, COMPUTER GRAPHICS, Graphics Utilities, Picture description languages", thesaurus = "Computer graphics; Data structures; Fractals; Functional programming; High level languages", treatment = "P Practical", } @Article{Platzman:1989:SCP, author = "Loren K. Platzman and John J. {Bartholdi, III}", title = "Spacefilling Curves and the Planar Travelling Salesman Problem", journal = j-J-ACM, volume = "36", number = "4", pages = "719--737", month = oct, year = "1989", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Wed Nov 09 18:40:49 1994", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/JACM.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jacm.bib", URL = "http://www.acm.org/pubs/toc/Abstracts/0004-5411/76361.html", abstract = "To construct a short tour through points in the plane, the points are sequenced as they appear along a spacefilling curve. This heuristic consists essentially of sorting, so it is easily coded and requires only $O(N)$ memory and $O(N \log N)$ operations. Its performance is competitive with that of other fast methods.", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", keywords = "algorithms; Combinatorics and Graph Theory; fractal geometry; performance; spacefilling curves; Verification", subject = "{\bf G.2.1}: Mathematics of Computing, DISCRETE MATHEMATICS, Combinatorics, Combinatorial algorithms. {\bf F.2.2}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Sequencing and scheduling. {\bf F.2.2}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Sorting and searching.", } @Article{Rarity:1989:CSF, author = "John Rarity", title = "Colloids stick to fractal rules", journal = j-NATURE, volume = "339", number = "6223", pages = "340--341", day = "1", month = jun, year = "1989", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/339340a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v339/n6223/pdf/339340a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Schaefer:1989:PFC, author = "Dale W. Schaefer", title = "Polymers, Fractals, and Ceramic Materials", journal = j-SCIENCE, volume = "243", number = "4894", pages = "1023--1027", day = "24", month = feb, year = "1989", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.243.4894.1023", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/243/4894/1023.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Book{Scholz:1989:FG, editor = "C. H. (Christopher H.) Scholz and Beno{\^\i}t B. Mandelbrot", title = "Fractals in geophysics", volume = "131(1/2)", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "313", year = "1989", ISBN = "0-8176-2206-3 (U.S.)", ISBN-13 = "978-0-8176-2206-0 (U.S.)", LCCN = "QC801 .G37 v.131, no.1/2; QE33.2.M3 F73 1989", bibdate = "Sat Sep 8 15:40:34 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; jenson.stanford.edu:2210/unicorn", note = "Reprinted from Pure and applied geophysics (PAGEOPH), volume 131 (1989), no. 1.", series = "Pure and applied geophysics", acknowledgement = ack-nhfb, subject = "fractals; geology; mathematics", } @Article{Shallit:1989:TMG, author = "Jeffrey Shallit and Jorge Stolfi", title = "Two methods for generating fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "13", number = "2", pages = "185--191", month = "????", year = "1989", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; Graphics/imager/imager.89.bib; Graphics/siggraph/89.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Dartmouth Coll", affiliationaddress = "Hanover, NH, USA", classification = "723; 741; 921", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Computer Graphics--Applications; Fractals; Image Coding; Image Processing; Mathematical Techniques--Algorithms", } @Article{Szeliski:1989:SF, author = "Richard Szeliski and Demetri Terzopoulos", title = "From Splines to Fractals", journal = j-COMP-GRAPHICS, volume = "23", number = "3", pages = "51--60", month = jul, year = "1989", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:40 MST 2002", bibsource = "Graphics/imager/imager.89.bib; http://portal.acm.org/; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/74333/p51-szeliski/", acknowledgement = ack-nhfb, conference = "held in Boston, Massachusetts; 31 July -- 4 August 1989", keywords = "algorithms; fractals, splines, constraints, scattered data interpolation, digital terrain models, physically based modeling, deformable models", subject = "{\bf G.1.1} Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Spline and piecewise polynomial interpolation. {\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations. {\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism. {\bf G.1.2} Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Spline and piecewise polynomial approximation.", } @Article{Thiebaut:1989:FDC, author = "D. Thiebaut", title = "On the fractal dimension of computer programs and its application to the prediction of the cache miss ratio", journal = j-IEEE-TRANS-COMPUT, volume = "38", number = "7", pages = "1012--1026", month = jul, year = "1989", CODEN = "ITCOB4", DOI = "http://dx.doi.org/10.1109/12.30852", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Fri Jul 8 19:00:40 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=30852", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Computers", } @Article{Viennot:1989:CAR, author = "Xavier Gerard Viennot and Georges Eyrolles and Nicolas Janey and Didier Arqu{\'e}s", title = "Combinatorial Analysis of Ramified Patterns and Computer Imagery of Trees", journal = j-COMP-GRAPHICS, volume = "23", number = "3", pages = "31--40", month = jul, year = "1989", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:40 MST 2002", bibsource = "Graphics/imager/imager.89.bib; http://portal.acm.org/; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/74333/p31-viennot/", acknowledgement = ack-nhfb, conference = "held in Boston, Massachusetts; 31 July -- 4 August 1989", keywords = "algorithms; trees, plants, algorithms, realistic image synthesis, figurative image synthesis, branching patterns in physics, stochastic modeling, analysis of form, fractals, self-similarity, combinatorics, ramification matrix", subject = "{\bf J.5} Computer Applications, ARTS AND HUMANITIES, Arts, fine and performing**. {\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations. {\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Color, shading, shadowing, and texture. {\bf J.3} Computer Applications, LIFE AND MEDICAL SCIENCES, Biology and genetics.", } @Article{Vojta:1989:BRB, author = "G. Vojta", title = "Book Review: {Beno{\^\i}t B. Mandelbrot. \booktitle{Die fraktale Geometrie der Natur}. Birkh{\"a}user Verlag, Basel, Boston, 1987, 491 S., zahlreiche Abb. und Tab., SFr98.--, ISBN 3-7643-1771-X}", journal = "Crystal Research and Technology", volume = "24", number = "2", pages = "166--166", month = feb, year = "1989", CODEN = "????", DOI = "http://dx.doi.org/10.1002/crat.2170240207", ISSN = "????", bibdate = "Sat Sep 08 19:23:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://onlinelibrary.wiley.com/doi/10.1002/crat.2170240207/abstract", acknowledgement = ack-nhfb, onlinedate = "19 FEB 2006", } @Article{Allen:1990:POA, author = "Norton T. Allen", title = "A Pixel Ordering Algorithm", journal = j-DDJ, volume = "15", number = "6", pages = "56--61, 116--117", month = jun, year = "1990", CODEN = "DDJOEB", ISSN = "1044-789X", bibdate = "Tue Sep 03 09:13:33 1996", bibsource = "http://www.ddj.com/index/author/index.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; UnCover database", abstract = "Recognizing the general character of an image early in the display process lets you begin fine-tuning much sooner.", acknowledgement = ack-nhfb, classification = "C6110 (Systems analysis and programming); C6130B (Graphics techniques)", keywords = "Bit reversed numbers; Graphics; Interactive development; Mandelbrot set; Personal computers; Pixel ordering algorithm; Ray-tracing; Resolution", thesaurus = "C listings; Computer graphics; Interactive programming; Microcomputer applications", } @Article{Anonymous:1990:DSS, author = "Anonymous", title = "In Darkest {Self-Similarity}: {Hugh Kenner} surveys the literature on fractals", journal = j-BYTE, volume = "15", number = "6", pages = "382--??", month = jun, year = "1990", CODEN = "BYTEDJ", ISSN = "0360-5280 (print), 1082-7838 (electronic)", bibdate = "Tue Jan 2 10:01:41 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Badler:1990:IRI, author = "Norman I. Badler and Welton Becket", title = "Imperfection for Realistic Image Synthesis", journal = j-J-VIS-COMP-ANIMATION, volume = "1", number = "1", pages = "26--32", month = aug, year = "1990", CODEN = "JVCAEO", ISSN = "1049-8907", bibdate = "Tue Jun 3 08:05:21 MDT 1997", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Graphics/siggraph/1990.bib.gz; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; telnet sigggraph.org: login biblio", acknowledgement = ack-nhfb, annote = "Creating objects with surface imperfections is accomplished through texture specification and generation techniques. Based on fractal subdivision techniques and relatively simple distribution models, a wide class of surface imperfections may be generated, combined and rendered. The surface effects include scratches, splotches, smudges, corrosion, mold, stains, and rust. A rule-based system is used to position the various surface imperfections on the texture map, and a simple natural language interface is used to specify the kinds of imperfections and their generative parameters through adverbs and prepositional phrases. Results along some of the imperfection dimensions are illustrated.", classification = "C5260B (Computer vision and picture processing); C6170 (Expert systems); C6180N (Natural language processing)", corpsource = "Dept. of Comput. and Inf. Sci., Pennsylvania Univ., Philadelphia, PA, USA", keywords = "adverbs; computerised pattern recognition; computerised picture processing; corrosion; distribution models; fractal subdivision techniques; fractals; generative parameters; imperfection dimensions; imperfections; knowledge based systems; mould; natural language; natural languages; prepositional phrases; procedural texture; realistic image synthesis; reflectance models; rule-based system; rule-based systems; rust; scratches; simple natural language interface; smudges; splotches; stains; surface effects; surface imperfections; texture; texture generation; texture map; texture specification", treatment = "P Practical", xxauthor = "W. Becket and N. I. Badler", } @Article{Cortini:1990:FMS, author = "Massimo Cortini", title = "Fractal magmatic systems", journal = j-NATURE, volume = "346", number = "6281", pages = "226--226", day = "19", month = jul, year = "1990", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/346226b0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v346/n6281/pdf/346226b0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Davidoff:1990:DF, author = "Frank Davidoff", title = "Dynamic fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "14", number = "1", pages = "135--136", month = "????", year = "1990", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; Graphics/imager/imager.90.bib; Graphics/siggraph/90.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, classification = "723", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Chaos Theory; Color; Computer Graphics; Dynamic Fractals; Fractal Images", } @Article{Davy:1990:SCP, author = "Ph. Davy and A. Sornette and D. Sornette", title = "Some consequences of a proposed fractal nature of continental faulting", journal = j-NATURE, volume = "348", number = "6296", pages = "56--58", day = "1", month = nov, year = "1990", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/348056a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v348/n6296/pdf/348056a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Book{Devaney:1990:TCO, author = "Robert L. Devaney", title = "Transition to chaos: the orbit diagram and the {Mandelbrot} set", publisher = "Science television", address = "New York, NY, USA", year = "1990", ISBN = "1-878310-08-9", ISBN-13 = "978-1-878310-08-8", LCCN = "QA447 .T7 1990", bibdate = "Mon Sep 10 10:42:39 MDT 2012", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "One VHS videocassette (65 min.).", acknowledgement = ack-nhfb, remark = "G{\'e}n{\'e}rique: R{\'e}alisation, Robert L. Devaney.. Distributeur: Science television.", subject = "Dynamique diff{\'e}rentiable; Th{\'e}orie de la bifurcation; Chaos; Chaotic behavior in systems; Computer graphics; Mathematics; Dynamics; Fractals; Data processing; Dynamique diff{\'e}rentielle; Bifurcation, Th{\'e}orie de la; Chaos", } @Article{Hart:1990:RBB, author = "Eric W. Hart", title = "Review: {{\booktitle{The Beauty and the Complexity of the Mandelbrot Set: University Edition}}, by John H. Hubbard}", journal = j-MATH-TEACH, volume = "83", number = "8", pages = "686", month = "????", year = "1990", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27966920", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @Article{Horgan:1990:MS, author = "John Horgan", title = "{Mandelbrot} Set-To", journal = j-SCI-AMER, volume = "262", number = "4", pages = "30--34", month = apr, year = "1990", CODEN = "SCAMAC", DOI = "http://dx.doi.org/10.1038/scientificamerican0490-30b", ISSN = "0036-8733 (print), 1946-7087 (electronic)", ISSN-L = "0036-8733", bibdate = "Sat Sep 8 11:06:18 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/scientificamerican/journal/v262/n4/pdf/scientificamerican0490-30b.pdf", acknowledgement = ack-nhfb, ajournal = "Sci. Amer.", fjournal = "Scientific American", } @Article{Horn:1990:III, author = "Alastair N. Horn", title = "{IFSs} and interactive image synthesis", journal = j-CGF, volume = "9", number = "2", pages = "127--137", month = jun, year = "1990", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Fri Jul 18 14:03:37 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, affiliation = "Oxford Univ Computing Lab", affiliationaddress = "Oxford, Engl", classification = "722; 723; 741; 921; C6130B (Graphics techniques)", corpsource = "Comput. Lab., Oxford Univ., UK", keywords = "AMT DAP; computational geometry; computer graphics; Computer Graphics; computer graphics; Computer Systems, Digital --- Parallel Processing; Deterministic Fractal Geometry; deterministic fractals; Deterministic fractals; deterministic fractals; fractals; geometric mapping; Geometric mapping; geometric mapping; IFSs; image generation; Image Generation; Image generation; image generation; Image Processing --- Synthesis; Interactive; interactive image synthesis; Interactive image synthesis; interactive image synthesis; interactive system for image synthesis; Interactive system for image synthesis; interactive system for image synthesis; Interactive System, IFSs; interactive systems; iterated function; Iterated function systems; Iterated Function Systems; Mathematical Techniques --- Geometry; Parallel Algorithms; parallel programming; self-tiling images; Self-tiling images; self-tiling images; SIMD parallelism; systems; Tiling Structures", thesaurus = "Computational geometry; Computer graphics; Fractals; Interactive systems; Parallel programming", treatment = "P Practical", } @Article{Jones:1990:DGB, author = "Huw Jones", title = "{D{\"u}rer}, Gaskets and {Barnsley}'s Chaos Game", journal = j-CGF, volume = "9", number = "4", pages = "327--332", month = dec, year = "1990", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Mon Apr 14 10:23:20 MDT 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, affiliation = "Middlesex Polytechnic", affiliationaddress = "London, England", classification = "723; 921; C4240 (Programming and algorithm theory); C4290 (Other computer theory); C6130B (Graphics techniques)", corpsource = "Fac. of Eng., Sci. and Math., Middlesex Polytech., London, UK", keywords = "Chaos Game; Chaos Theory; computational geometry; computer graphics; Computer Graphics; computer graphics; Computer Programming --- Algorithms; Fractal object; fractal object; Fractal Objects, Sierpinski triangle; fractals; Gasket; gasket; Mathematical Models; random points; Random points; Regular polygons; regular polygons; Sierpinski triangle; Sierpinski Triangles; Tiling pattern; tiling pattern", thesaurus = "Computational geometry; Computer graphics; Fractals", treatment = "P Practical", } @Article{Jones:1990:TUR, author = "John Dewey Jones", title = "Three unconventional representations of the {Mandelbrot} set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "14", number = "1", pages = "127--129", month = "????", year = "1990", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; Graphics/imager/imager.90.bib; Graphics/siggraph/90.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Simon Fraser Univ", affiliationaddress = "Burnaby, BC, Can", classification = "723", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Chaos Theory; Computer Graphics; Computer Programming--Algorithms; double exposure; fish-eye perspective; Fractal Images", } @Article{Jurgens:1990:LF, author = "Hartmut J{\"u}rgens and Heinz-Otto Peitgen and Dietmar Saupe", title = "The Language of Fractals", journal = j-SCI-AMER, volume = "263", number = "2", pages = "60--?? (Intl. ed. 40--??)", month = aug, year = "1990", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Thu Jan 28 14:31:50 MST 1999", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", abstract = "With fractal geometry, mathematicians can describe the beats of a dying heart or the birth of a storm cloud with the same ease that an architect can draw the blueprints for a house. They can also generate complex structures precisely, using only a few mathematical ``words.'' Fractal algorithms may help cut the complexity and cost of transmitting and storing images.", acknowledgement = ack-nhfb, journalabr = "Sci Am", xxnewdata = "1998.01.30", } @Article{Knill:1990:LNO, author = "David C. Knill and Daniel Kersten", title = "Learning a near-optimal estimator for surface shape from shading", journal = j-CVGIP, volume = "50", number = "1", pages = "75--100", month = apr, year = "1990", CODEN = "CVGPDB", ISSN = "0734-189X", bibdate = "Fri Jan 31 15:09:26 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/cvgip.bib", acknowledgement = ack-nhfb, affiliation = "Brown Univ", affiliationaddress = "Providence, RI, USA", classification = "723; 741; 921; C1140Z (Other and miscellaneous); C1240 (Adaptive system theory); C1250 (Pattern recognition); C5260B (Computer vision and picture processing)", fjournal = "Computer Vision, Graphics, and Image Processing", journalabr = "Comput Vision Graphics Image Process", keywords = "Arbitrary light source directions; Associative Learning; Bayesian estimation; Bayesian Estimation; Coarse-scale surface shape; Conditional probability; Fine-scale details; Gradient descent technique; Image Analysis; Image data; Image Processing; Imaging function; Learning Algorithm; Linear estimator; Linear Estimator; Mathematical Techniques--Estimation; Natural surfaces model; Posterior probability; Random fractal surfaces; Shading; Surface conditional; Surface Shape; Surface shape from shading; Systems Science and Cybernetics--Learning Systems; Widrow Hoff associative learning algorithm", thesaurus = "Computer vision; Estimation theory; Fractals; Learning systems; Visual perception", } @Article{Kurths:1990:BRB, author = "J. Kurths", title = "Book Review: {Beno{\^\i}t B. Mandelbrot: \booktitle{Die fraktale Geometrie der Natur}. Birkh{\"a}user Verlag, Basel, 1987, 491 Seiten. Preis: Sfr 98,-. ISBN 3-7643-1771-X}", journal = j-ASTRO-NACHR, volume = "311", number = "1", pages = "88--88", month = "????", year = "1990", CODEN = "ASNAAN", DOI = "http://dx.doi.org/10.1002/asna.2113110129", ISSN = "0004-6337 (print), 1521-3994 (electronic)", ISSN-L = "0004-6337", bibdate = "Sat Sep 08 19:25:55 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://onlinelibrary.wiley.com/doi/10.1002/asna.2113110129/abstract", acknowledgement = ack-nhfb, fjournal = "Astronomische Nachrichten", onlinedate = "15 Feb 2006", } @Article{Larison:1990:RBM, author = "Ted Larison", title = "Review: {{\booktitle{Mandelbrot Magic 3.1}}}", journal = j-MATH-TEACH, volume = "83", number = "2", pages = "157", month = "????", year = "1990", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27966565", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @Article{Mainster:1990:FPR, author = "Martin A. Mainster", title = "The fractal properties of retinal vessels: Embryological and clinical implications", journal = "Eye", volume = "4", number = "1", pages = "235--241", month = jan, year = "1990", CODEN = "????", DOI = "http://dx.doi.org/10.1038/eye.1990.33", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/eye/journal/v4/n1/pdf/eye199033a.pdf", acknowledgement = ack-nhfb, } @Article{Mirowski:1990:MCE, author = "Philip Mirowski", title = "From {Mandelbrot} to Chaos in Economic Theory", journal = "Southern Economic Journal", volume = "57", number = "2", pages = "289--307", month = oct, year = "1990", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/1060611", acknowledgement = ack-nhfb, } @Article{Miyata:1990:MGS, author = "Kazunori Miyata", title = "A Method of Generating Stone Wall Patterns", journal = j-COMP-GRAPHICS, volume = "24", number = "4", pages = "387--394", month = aug, year = "1990", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:41 MST 2002", bibsource = "Graphics/imager/imager.90.bib; http://portal.acm.org/; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/97879/p387-miyata/", acknowledgement = ack-nhfb, conference = "held in Dallas, Texas; 6--10 August 1990", keywords = "algorithms; design; texture, stone wall, simulation of natural phenomena, fractal, texture generation", subject = "{\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Color, shading, shadowing, and texture. {\bf I.3.3} Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation, Display algorithms. {\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations.", } @Article{Ohnishi:1990:CRH, author = "Teruaki Ohnishi", title = "Is the cosmic-ray hadron shower a fractal?", journal = j-CAN-J-PHYS, volume = "68", number = "9", pages = "906--911", year = "1990", CODEN = "CJPHAD", DOI = "http://dx.doi.org/10.1139/p90-127", ISSN = "0008-4204 (print), 1208-6045 (electronic)", ISSN-L = "0008-4204", bibdate = "Sat Sep 8 18:28:14 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nrcresearchpress.com/doi/abs/10.1139/p90-127", acknowledgement = ack-nhfb, eprint = "http://www.nrcresearchpress.com/doi/pdf/10.1139/p90-127", fjournal = "Canadian Journal of Physics = Journal canadien de physique", } @Article{Palmore:1990:CAC, author = "J. Palmore and C. Herring", title = "Computer arithmetic, chaos and fractals", journal = j-PHYSICA-D, volume = "42", number = "1--3", pages = "99--110", month = jun, year = "1990", CODEN = "PDNPDT", DOI = "http://dx.doi.org/10.1016/0167-2789(90)90069-2", ISSN = "0167-2789 (print), 1872-8022 (electronic)", ISSN-L = "0167-2789", bibdate = "Tue Dec 12 09:17:24 MST 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/elefunt.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib", note = "Ninth Annual International Conference of the Center for Nonlinear Studies on Self-Organizing, Collective and Cooperative Phenomena in Natural and Artificial Networks", abstract = "The authors explore aspects of computer arithmetic from the viewpoint of dynamical systems. They demonstrate the effects of finite precision arithmetic in three uniformly hyperbolic chaotic dynamical systems: Bernoulli shifts, cat maps, and pseudorandom number generators. They show that elementary floating-point operations in binary computer arithmetic possess an inherently fractal structure. Each of these dynamical systems allows us to compare the exact results in integer arithmetic with those obtained by using floating-point arithmetic.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., Illinois Univ., Urbana, IL, USA", classification = "C1160 (Combinatorial mathematics); C5230 (Digital arithmetic methods)", confdate = "22-26 May 1989", conflocation = "Los Alamos, NM, USA", fjournal = "Physica. D, Nonlinear phenomena", keywords = "Bernoulli shifts; Binary computer arithmetic; Cat maps; Chaos; Computer arithmetic; Dynamical systems; Elementary floating-point operations; Finite precision arithmetic; Floating-point arithmetic; Fractal structure; Integer arithmetic; Pseudorandom number generators; Self-similar structure; Uniformly hyperbolic chaotic dynamical systems", pubcountry = "Netherlands", thesaurus = "Chaos; Digital arithmetic; Fractals; Random number generation; Roundoff errors", } @Article{Pool:1990:FF, author = "Robert Pool", title = "Fractal Fracas", journal = j-SCIENCE, volume = "249", number = "4967", pages = "363--364", day = "27", month = jul, year = "1990", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.249.4967.363", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/249/4967/363.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Schechter:1990:CHM, author = "Dan Schechter", title = "{CUG305 HGA Mandelbrot Explorer} and Card Games", journal = j-CUJ, volume = "8", type = "CUG New Release", number = "3", pages = "131--??", month = mar, year = "1990", CODEN = "????", ISSN = "0898-9788", bibdate = "Fri Aug 30 16:52:23 MDT 1996", bibsource = "http://www.cuj.com/cbklist.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Senn:1990:MSB, author = "Peter Senn", title = "The {Mandelbrot} set for binary numbers", journal = j-AMER-J-PHYSICS, volume = "58", pages = "1018--??", year = "1990", CODEN = "AJPIAS", ISSN = "0002-9505", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/ajpias/v58/i10/p1018/s1", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", } @Article{Vanraan:1990:FDC, author = "A. F. J. Vanraan", title = "Fractal dimension of co-citations", journal = j-NATURE, volume = "347", number = "6294", pages = "626--626", day = "18", month = oct, year = "1990", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/347626a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v347/n6294/pdf/347626a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Book{Zahlten:1990:FHE, author = "Cornelia Zahlten and Heinz-Otto Peitgen and Dietmar Saupe and H. (Hartmut) J{\"u}rgens", title = "Fractals: an animated discussion", publisher = "Films for the humanities and sciences", address = "Princeton, NJ, USA", year = "1990", ISBN = "0-7365-6093-9", ISBN-13 = "978-0-7365-6093-1", LCCN = "QA614.86 .F76 2003", bibdate = "Mon Sep 10 13:35:13 MDT 2012", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "One DVD (63 min).", abstract = "The Mandelbrot set and the Lorenz attractor are turned into visible objects as their discoverers, Beno{\^\i}t Mandelbrot and Edward Lorenz, discuss the background history and details of their work.", } @Article{Anonymous:1991:RPK, author = "Anonymous", title = "Up from {Rosie}: {Professor Kenner} examines a new book of essays about fractals and chaos", journal = j-BYTE, volume = "16", number = "5", pages = "386--??", month = may, year = "1991", CODEN = "BYTEDJ", ISSN = "0360-5280 (print), 1082-7838 (electronic)", bibdate = "Tue Jan 2 10:01:41 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Brandt:1991:ACH, author = "Jonathan Brandt and Carlos Cabrelli and Ursula Molter", title = "An algorithm for the computation of the {Hutchinson} distance", journal = j-INFO-PROC-LETT, volume = "40", number = "2", pages = "113--117", day = "25", month = oct, year = "1991", CODEN = "IFPLAT", ISSN = "0020-0190 (print), 1872-6119 (electronic)", ISSN-L = "0020-0190", bibdate = "Wed Nov 11 12:16:26 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/infoproc1990.bib", note = "See also corrigendum \cite{Brandt:1992:CAC}.", acknowledgement = ack-nhfb, affiliation = "UC Davis", affiliationaddress = "Davis, CA, USA", classification = "723; 922; C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Div. of Comput. Sci., California Univ., Davis, CA, USA", journalabr = "Inf Process Lett", keywords = "absolute values; algorithm theory; Algorithms; approximation theory; Computer Programming; finite one-dimensional sequences; fractals; Hutchinson distance; Hutchinson Metric; Hutchinson metric; input measures; linear-time algorithm; partial sums; pointwise difference; Probability; Probability Measures", treatment = "T Theoretical or Mathematical", } @InProceedings{Cabrelli:1991:DFA, author = "Carlos Cabrelli and Ursula Molter", title = "Density of fuzzy attractors: a step towards the solution of the inverse problem for fractals and other sets", crossref = "Byrnes:1992:PSM", pages = "163--173", year = "1991", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", } @Article{Chen:1991:IUS, author = "Min Chen and Roger Temam", title = "Incremental unknowns for solving partial differential equations", journal = j-NUM-MATH, volume = "59", number = "3", pages = "255--271", month = jun, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65N06 (65F10)", MRnumber = "92e:65133", MRreviewer = "O. Widlund", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Appl. Math. and Sci. Comput., Indiana Univ., Bloomington, IN, USA", fjournal = "Numerische Mathematik", keywords = "difference equations; evolution equations; finite difference approximations; fractal attractors; incremental unknowns; Laplace equations; linear elliptic problems; partial differential equations; two-level approximations", treatment = "T Theoretical or Mathematical", } @Article{Corana:1991:ECC, author = "A. Corana and A. Casaleggio and C. Rolando and S. Ridella", title = "Efficient computation of the correlation dimension from a time series on a {LIW} computer", journal = j-PARALLEL-COMPUTING, volume = "17", number = "6--7", pages = "809--820", month = sep, year = "1991", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", bibdate = "Mon Apr 14 11:08:33 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", acknowledgement = ack-nhfb, classification = "C7310 (Mathematics)", corpsource = "Istituto per i Circuiti Elettronici, CNR, Genova, Italy", fjournal = "Parallel Computing", keywords = "12 MFLOPS; 16 MFLOPS; 28 MFLOPS; 38 MFLOPS; chaos; chaos theory; chaotic attractor; computational kernels; computer aided analysis; correlation dimension; evaluation; FPS M645/60 LIW computer; fractal dimension; LIW computer; mathematics computing; nonlinear; nonlinear systems; parallel algorithms; parallel computers; performance; real time series; recursive computation; series (mathematics); systems; time series", treatment = "T Theoretical or Mathematical", } @Article{Devaney:1991:ODM, author = "Robert L. Devaney", title = "The Orbit Diagram and the {Mandelbrot} Set", journal = j-COLLEGE-MATH-J, volume = "22", number = "1", pages = "23--38", month = jan, year = "1991", CODEN = "????", ISSN = "0746-8342 (print), 1931-1346 (electronic)", ISSN-L = "0746-8342", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2686735", acknowledgement = ack-nhfb, fjournal = "College Mathematics Journal", } @Article{Dorren:1991:MEN, author = "H. J. S. Dorren and A. Tip", title = "{Maxwell}'s equations for nonsmooth media: fractal-shaped and pointlike objects", journal = j-J-MATH-PHYS, volume = "32", number = "11", pages = "3060--3070", month = nov, year = "1991", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.529052", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "78A25 (35Q60 47F05 47N20 78A40 81Q05)", MRnumber = "93a:78007", MRreviewer = "V. H. Weston", bibdate = "Tue Nov 1 08:57:34 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v32/i11/p3060_s1", acknowledgement = ack-nhfb, pagecount = "11", } @Article{Flam:1991:BFD, author = "Faye Flam", title = "Beating a Fractal Drum", journal = j-SCIENCE, volume = "254", number = "5038", pages = "1593--1593", day = "13", month = dec, year = "1991", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.254.5038.1593", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/254/5038/1593.1.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{FRANTZ:1991:MSC, author = "Marny Frantz and Sylvia Lazarnick", title = "The {Mandelbrot} Set in the Classroom", journal = j-MATH-TEACH, volume = "84", number = "3", pages = "173--177", month = "????", year = "1991", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27967086", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @Article{Garrison:1991:RBB, author = "Lionel Garrison", title = "Review: {{\booktitle{The Beauty and the Complexity of the Mandelbrot Set: School Edition}}, by John H. Hubbard}", journal = j-MATH-TEACH, volume = "84", number = "4", pages = "334", month = "????", year = "1991", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27967167", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @Article{Goffinet:1991:NSC, author = "Daniel Goffinet", title = "Number systems with a complex base: a fractal tool for teaching topology", journal = j-AMER-MATH-MONTHLY, volume = "98", number = "3", pages = "249--255", month = mar, year = "1991", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "54-01 (28A80)", MRnumber = "92a:54002", MRreviewer = "Christoph Bandt", bibdate = "Wed Dec 3 17:17:33 MST 1997", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib", acknowledgement = ack-nhfb, } @Article{Good:1991:RBS, author = "I. J. Good", title = "Review: {{\booktitle{The Science of Fractal Images}}. by Heinz-Otto Peitgen, Dietmar Saupe, M. F. Barnsley, R. L. Devaney, B. B. Mandelbrot, R. F. Voss, Y. Fisher, M. McGuire}", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "496--499", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2031463", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hart:1991:EAR, author = "John C. Hart and Thomas A. DeFanti", title = "Efficient antialiased rendering of {$3$-D} linear fractals", journal = j-COMP-GRAPHICS, volume = "25", number = "4", pages = "91--100", month = jul, year = "1991", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:42 MST 2002", bibsource = "Graphics/imager/imager.91.bib; http://portal.acm.org/; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/122718/p91-hart/", acknowledgement = ack-nhfb, conference = "held in Las Vegas, Nevada; 28 July -- 2 August 1991", keywords = "algorithms; covers, fractal, object instancing, procedural modeling, ray tracing; theory", subject = "{\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Fractals. {\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations. {\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Color, shading, shadowing, and texture. {\bf I.3.3} Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation, Display algorithms. {\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Visible line/surface algorithms. {\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Hierarchy and geometric transformations.", } @Article{Hooper:1991:NSI, author = "Kenneth J. Hooper", title = "Note on some internal structures of the {Mandelbrot} Set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "15", number = "2", pages = "295--297", month = "????", year = "1991", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; Graphics/imager/imager.91.bib; Graphics/siggraph/91.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Southern California Edison Co", affiliationaddress = "San Clemente, CA, USA", classification = "723; 921", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Chaos Theory --- Research; Complex Planes; Computer Graphics; Epsilon Cross And Star Trails Methods; Mandelbrot Set Algorithms; Mandelbrot Set Internal Structures; Mathematical Techniques --- Set Theory; Research", } @Article{Jones:1991:MSA, author = "J. G. Jones and R. W. Thomas and P. G. Earwicker and S. Addison", title = "Multiresolution statistical analysis of computer-generated fractal imagery", journal = j-CVGIP-GMIP, volume = "53", number = "4", pages = "349--363", month = jul, year = "1991", CODEN = "CGMPE5", ISSN = "1049-9652", bibdate = "Sat Sep 14 09:31:19 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/cvgip.bib", acknowledgement = ack-nhfb, affiliation = "R. Aerosp. Establ., Farnborough, UK", classification = "C1250 (Pattern recognition); C5260B (Computer vision and picture processing); C7410F (Communications)", fjournal = "Computer Vision, Graphics, and Image Processing. Graphical Models and Image Processing", keywords = "Bars; Blobs; Computer-generated fractal imagery; Convolution filters; Julia sets; Mandelbrot sets; Multiresolution statistical analysis; Natural Earth backgrounds; Remotely sensed images; Strongly structured stochastic fields", thesaurus = "Computer graphics; Computerised picture processing; Fractals; Statistical analysis", } @Article{Klein:1991:TBU, author = "Michael Klein and Otto E. R{\"o}ssler and J{\"u}rgen Parisi and Joachim Peinke and Gerold Baier and Claus Kahlert and John L. Hudson", title = "Toward a better understanding of fractality in nature", journal = j-COMPUTERS-AND-GRAPHICS, volume = "15", number = "4", pages = "583--596", month = "????", year = "1991", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Fri Feb 07 10:58:41 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Univ of T{\"u}bingen", affiliationaddress = "T{\"u}bingen, Ger", classification = "723; 921", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Computer Graphics; Fractals; Mathematical Techniques--Algorithms", } @Article{Loyless:1991:ARA, author = "James E. Loyless", title = "Autumn --- {A} recipe for artistic fractal images", journal = j-COMPUTERS-AND-GRAPHICS, volume = "15", number = "1", pages = "87--88", month = "????", year = "1991", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; Graphics/imager/imager.91.bib; Graphics/siggraph/91.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Simons-Eastern Consultants Inc", affiliationaddress = "Atlanta, GA, USA", classification = "723; 921", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Chaos Theory; Computer Art; Computer Graphics; Fractals; Julia set; Mathematical Techniques--Algorithms", } @Article{Nathan:1991:RBC, author = "Kathirgama Nathan", title = "Review: {{\booktitle{Fractals for the Classroom. Part One: Introduction to Fractals and Chaos}} by H. O. Peitgen, H. J{\"u}rgens, D. Saupe; \booktitle{Fractals for the Classroom. Part Two: Complex Systems and Mandelbrot Set} by H. O. Peitgen, H. J{\"u}rgens, D. Saupe}", journal = j-COLLEGE-MATH-J, volume = "22", number = "5", pages = "455--456", month = nov, year = "1991", CODEN = "????", ISSN = "0746-8342 (print), 1931-1346 (electronic)", ISSN-L = "0746-8342", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2686611", acknowledgement = ack-nhfb, fjournal = "College Mathematics Journal", } @Article{Oliver:1991:FRW, author = "Dick Oliver", title = "Fractals in the real world", journal = j-DDJ, volume = "16", number = "4", pages = "68, 71--72, 74--75, 101--107", month = apr, year = "1991", CODEN = "DDJOEB", ISSN = "1044-789X", bibdate = "Tue Sep 10 09:11:02 MDT 1996", bibsource = "http://www.ddj.com/index/author/index.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; UnCover database", abstract = "Generate fractal images using this ``fractal template'' drawing tool.", acknowledgement = ack-nhfb, classification = "C6130B (Graphics techniques)", keywords = "'Fractal Grafics'; 'Mandelbrot Set' fractal programs; Fractal images; Fractal template; Fractals; Geometry; Mouse-oriented fractal drawing system", thesaurus = "C listings; Computer graphics; Fractals; Geometry", } @Book{Peitgen:1991:FC, author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar Saupe", title = "Fractals for the classroom", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 128 (vol. 1)", year = "1991", ISBN = "0-387-97346-X (vol. 1, New York), 3-540-97346-X (vol. 1, Berlin), 0-387-97722-8 (vol. 2, New York), 3-540-97722-8 (vol. 2, Berlin)", ISBN-13 = "978-0-387-97346-3 (vol. 1, New York), 978-3-540-97346-1 (vol. 1, Berlin), 978-0-387-97722-5 (vol. 2, New York), 978-3-540-97722-3 (vol. 2, Berlin)", LCCN = "QA614.86 .P45 1991", bibdate = "Wed Jun 24 08:29:35 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", note = "Issued in 1991--1992, with corrected second printing in 1993--1994.", price = "US\$24.95 (vol. 1), US\$39.95 (vol. 2)", acknowledgement = ack-nhfb, libnote = "Not yet in my library.", } @Article{Pentland:1991:PAF, author = "Alexander P. Pentland and Bradley Horowitz", title = "Practical approach to fractal-based image compression", journal = j-PROC-SPIE, volume = "1605", number = "??", pages = "467--474", month = "????", year = "1991", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @InProceedings{Peyriere:1991:MM, author = "Jacques Peyri{\`e}re", title = "Multifractal measures", crossref = "Byrnes:1992:PSM", pages = "175--186", year = "1991", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", } @Article{Rankin:1991:RBL, author = "John R. Rankin", title = "Recursive bisection line algorithm", journal = j-COMPUTERS-AND-GRAPHICS, volume = "15", number = "1", pages = "1--8", month = "????", year = "1991", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; Graphics/imager/imager.91.bib; Graphics/siggraph/91.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "La Trobe Univ", affiliationaddress = "Bundoora, Aust", classification = "723", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Computer Graphics; Computer Programming--Algorithms; fractal; Fractals; line drawing; Line Drawing Algorithms; Raster Graphics; Recursive Algorithms", } @Article{Rojas:1991:TEC, author = "Raul Rojas", title = "A tutorial on efficient computer graphic representations of the {Mandelbrot} set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "15", number = "1", pages = "91--100", month = "????", year = "1991", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; Graphics/imager/imager.91.bib; Graphics/siggraph/91.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Technical Univ of Berlin", affiliationaddress = "Berlin, Ger", classification = "721; 723; 921", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Automata Theory--Recursive Functions; Chaos Theory; Computer Graphics; Divide and Conquer Method; Fractals; Mandelbrot Set; Mathematical Techniques--Algorithms", } @Article{Smirnov:1991:NMC, author = "B. M. Smirnov", title = "From {Newton} to {Mandelbrot}: concepts in theoretical physics", journal = j-SOV-PHYS-USP, volume = "34", number = "11", pages = "1021--1021", month = nov, year = "1991", CODEN = "SOPUAP", DOI = "http://dx.doi.org/10.1070/PU1991v034n11ABEH002510", ISSN = "0038-5670", bibdate = "Sat Sep 08 18:39:38 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://ufn.ru/en/articles/1991/11/h/", acknowledgement = ack-nhfb, fjournal = "Soviet Physics. Uspekhi", } @Article{Steacy:1991:AFP, author = "Sandra J. Steacy and Charles G. Sammis", title = "An automaton for fractal patterns of fragmentation", journal = j-NATURE, volume = "353", number = "6341", pages = "250--252", day = "19", month = sep, year = "1991", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/353250a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v353/n6341/pdf/353250a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Suzuki:1991:GTF, author = "Masuo Suzuki", title = "General theory of fractal path integrals with applications to many-body theories and statistical physics", journal = j-J-MATH-PHYS, volume = "32", number = "2", pages = "400--407", month = feb, year = "1991", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.529425", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81S40 (81-08 81V70)", MRnumber = "92k:81096", bibdate = "Tue Nov 1 08:57:22 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v32/i2/p400_s1", acknowledgement = ack-nhfb, pagecount = "8", } @Article{Swehosky:1991:RBC, author = "Frank J. Swehosky", title = "Review: {{\booktitle{Transition to Chaos: The Orbit Diagram and the Mandelbrot Set}} by Robert L. Devaney}", journal = j-MATH-TEACH, volume = "84", number = "9", pages = "773--774", month = "????", year = "1991", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27967426", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @Article{vanWijk:1991:SNT, author = "Jarke J. van Wijk", title = "Spot noise: texture synthesis for data visualization", journal = j-COMP-GRAPHICS, volume = "25", number = "4", pages = "309--318", month = jul, year = "1991", CODEN = "CGRADI, CPGPBZ", ISSN = "0097-8930 (print), 1558-4569 (electronic)", bibdate = "Tue Mar 12 17:52:42 MST 2002", bibsource = "Graphics/imager/imager.91.bib; http://portal.acm.org/; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/122718/p309-van_wijk/", acknowledgement = ack-nhfb, conference = "held in Las Vegas, Nevada; 28 July -- 2 August 1991", keywords = "algorithms, texture synthesis, scientific visualization, flow visualization, fractals, particle systems", subject = "{\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Color, shading, shadowing, and texture. {\bf I.3.3} Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation. {\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Fractals.", } @Article{Allouche:1992:RRS, author = "J.-P. Allouche and J. Shallit", title = "The ring of $k$-regular sequences", journal = j-THEOR-COMP-SCI, volume = "98", number = "2", pages = "163--197", day = "18", month = may, year = "1992", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Sat Nov 22 13:24:22 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs1990.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4210 (Formal logic)", corpsource = "Dept. de Math. et Inf., CNRS, Talence, France", keywords = "analysis of algorithms; automatic sequence; combinatorics; formal languages; formal power series; fractals; k-regular sequences; number theory; numerical analysis; topology; Z-rational formal series", pubcountry = "Netherlands", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Bouras:1992:SDC, author = "A. Bouras and B. Shariat and D. Vandorpe", title = "A simple description of complex curves", journal = j-CGF, volume = "11", number = "3", pages = "C425--C433", month = "????", year = "1992", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Mon Apr 14 10:23:20 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "C6130B (Graphics techniques)", conflocation = "Cambridge, UK; 7-11 Sept. 1992", conftitle = "European Association for Computer Graphics 13th Annual Conference. EUROGRAPHICS 92", corpsource = "Lab. d'Inf. des Syst. de Production Ind., Univ. Claude Bernard-Lyon I, Villeurbanne, France", keywords = "complex curves description; Complex curves description; complex curves description; computational geometry; computer graphics; Curve arcs; curve arcs; descriptive universal language; Descriptive universal language; descriptive universal language; design environment; fractals; Fractals; fractals; general; General design environment; including boxes; Including boxes; polyhedrons; Polyhedrons; solids; Solids; standard primitives; Standard primitives; Surfaces; surfaces; topology", thesaurus = "Computational geometry; Computer graphics; Topology", treatment = "P Practical", } @Article{Brandt:1992:CAC, author = "Jonathan Brandt and Carlos Cabrelli and Ursula Molter", title = "Corrigendum: {``An algorithm for the computation of the {Hutchinson} distance''} {[Inform. Process. Lett. {\bf 40}(2), 25 October 1991, pp. 113--117]}", journal = j-INFO-PROC-LETT, volume = "41", number = "6", pages = "347--347", day = "17", month = apr, year = "1992", CODEN = "IFPLAT", ISSN = "0020-0190 (print), 1872-6119 (electronic)", ISSN-L = "0020-0190", bibdate = "Sat Feb 01 15:22:43 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/infoproc1990.bib", note = "See \cite{Brandt:1991:ACH}.", acknowledgement = ack-nhfb, } @Article{Daubechies:1992:TSD, author = "Ingrid Daubechies and Jeffrey C. Lagarias", title = "Two-scale difference equations. {II}. {Local} regularity, infinite products of matrices and fractals", journal = j-SIAM-J-MATH-ANA, volume = "23", number = "4", pages = "1031--1079", month = jul, year = "1992", CODEN = "SJMAAH", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "39A10", MRnumber = "93g:39001", MRreviewer = "Evangelos Ifantis", bibdate = "Sun Nov 28 19:25:32 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/23/4; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", } @Article{Devaney:1992:FAD, author = "Robert L. Devaney", title = "Review: {{\booktitle{Fractals: An Animated Discussion with Edward Lorenz and Beno{\^\i}t Mandelbrot}}, by H. Jurgens, D. Saupe, C. Zahlten, H.-O. Peitgen}", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "333--335", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://link.aip.org/link/siread/v34/i2/p333/s1; http://www.jstor.org/stable/2132866", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Dubuc:1992:CHP, author = "Serge Dubuc and Abdul Malik", title = "Convex hull of powers of a complex number, trinomial equations and the {Farey} sequence", journal = j-NUMER-ALGORITHMS, volume = "2", number = "1", pages = "1--32", month = feb, year = "1992", CODEN = "NUALEG", ISSN = "1017-1398 (print), 1572-9265 (electronic)", ISSN-L = "1017-1398", MRclass = "11Z50 (52A10)", MRnumber = "92m:11154", MRreviewer = "M. Mend{\`e}s France", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation); C4260 (Computational geometry)", corpsource = "Montreal Univ., Que., Canada", keywords = "color; complex number; computational complexity; computational geometry; convex hull; distribution modulo 1; Farey sequence; fractal set; number of vertices; number theory; poles and zeros; polynomial zeros; polynomials; trinomial equations", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", xxtitle = "Convex hull powers of a complex number, trinomial equations and the {Farey} sequence", } @Article{Ewing:1992:AMS, author = "John H. Ewing and Glenn Schober", title = "The area of the {Mandelbrot} set", journal = j-NUM-MATH, volume = "61", number = "1", pages = "59--72", month = feb, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "30-04 (30C30 58-04 58F23)", MRnumber = "93e:30006", MRreviewer = "Feliks Przytycki", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @InCollection{Fisher:1992:DFI, author = "Yuval Fisher", editor = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar Saupe", booktitle = "Chaos and Fractals: New Frontiers of Science", title = "A Discussion of Fractal Image Compression", chapter = "Appendix A", type = "app.", publisher = pub-SV, address = pub-SV:adr, pages = "903--919", year = "1992", ISBN = "0-387-97903-4", ISBN-13 = "978-0-387-97903-8", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Frame:1992:GMS, author = "Michael Frame and James Robertson", title = "A generalized {Mandelbrot} set and the role of critical points", journal = j-COMPUTERS-AND-GRAPHICS, volume = "16", number = "1", pages = "35--40", month = "????", year = "1992", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Union Coll", affiliationaddress = "Schenectady, NY, USA", classification = "723; 921", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Computer Graphics; Julia Sets; Mandelbrot Set; Mathematical Techniques--Polynomials", } @Article{Frame:1992:NSA, author = "Michael Frame and A. G. Davis Philip and Adam Robucci", title = "A new scaling along the spike of the {Mandelbrot} set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "16", number = "2", pages = "223--234", month = "Summer", year = "1992", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Fri Feb 07 11:00:35 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Computer Science Dep Union Coll", affiliationaddress = "Schenectady, NY, USA", classification = "723; 921", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Chaos Theory --- Mathematical Models; Mandelbrot Set; Mathematical Techniques; Mathematical Techniques --- Geometry; Midgets; Pattern Recognition --- Mathematical Models; Scalings; Set Theory; Spike", } @Article{Garcia-Pelayo:1992:NF, author = "Ricardo Garc{\'\i}a-Pelayo and William C. Schieve", title = "Noisy fractals", journal = j-J-MATH-PHYS, volume = "33", number = "2", pages = "570--577", month = feb, year = "1992", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.529791", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "58F11 (26A18 58F08 58F30)", MRnumber = "92k:58157", MRreviewer = "M. L. Blank", bibdate = "Tue Nov 1 08:57:39 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v33/i2/p570_s1", acknowledgement = ack-nhfb, pagecount = "8", } @Article{Groller:1992:FSM, author = "E. Groller", title = "Fractals and solid modeling", journal = j-CGF, volume = "11", number = "3", pages = "C415--C424, C484--C485", month = "????", year = "1992", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Mon Apr 14 10:23:20 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "C6130B (Graphics techniques)", conflocation = "Cambridge, UK; 7-11 Sept. 1992", conftitle = "European Association for Computer Graphics 13th Annual Conference. EUROGRAPHICS 92", corpsource = "Inst. fur Computergraphik, Tech. Univ. Wien, Wien, Austria", keywords = "3D objects; 3D solid micro structure; attribute grammars; Constructive solid geometry; constructive solid geometry; CSG-modeling; fractal geometry; Fractal geometry; fractal macro structure; Fractal macro structure; fractal macro structure; fractals; geometric; Geometric grammars; geometrical optics; geometrically complex objects; Geometrically complex objects; geometrically complex objects; grammars; high; High quality images; modelling; quality images; ray tracing; Ray tracing; ray tracing; solid; solid modeling; Solid modeling; solid modeling", thesaurus = "Attribute grammars; Fractals; Geometrical optics; Solid modelling", treatment = "P Practical", } @Article{Heldt:1992:FDA, author = "Gregory Heldt", title = "Fractal Dimension of Airspaces of Preterm Rabbit Lungs", journal = "Pediatric Research", volume = "32", number = "5", pages = "634--634", month = nov, year = "1992", CODEN = "????", DOI = "http://dx.doi.org/10.1203/00006450-199211000-00177", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/pr/journal/v32/n5/pdf/pr1992452a.pdf", acknowledgement = ack-nhfb, } @Book{Kaufmann:1992:MWE, author = "Stephan Kaufmann", title = "{Mathematica als Werkzeug: Eine Einf{\"u}hrung mit Anwendungsbeispielen}. ({German}) [{Mathematica} as a tool: an introduction with application examples]", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "396", year = "1992", ISBN = "3-7643-2832-0", ISBN-13 = "978-3-7643-2832-0", LCCN = "????", bibdate = "Sun May 02 08:01:22 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib", note = "See \cite{Baumann:1996:MTP}.", acknowledgement = ack-nhfb, language = "German", } @Article{Koh:1992:FGS, author = "Eng-Kiat Koh and D. D. Hearn", title = "Fast generation and surface structuring methods for terrain and other natural phenomena", journal = j-CGF, volume = "11", number = "3", pages = "C169--C180, C472--C473", month = "????", year = "1992", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Mon Apr 14 10:23:20 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "C6130B (Graphics techniques); C7840 (Geography and cartography)", conflocation = "Cambridge, UK; 7-11 Sept. 1992", conftitle = "European Association for Computer Graphics 13th Annual Conference. EUROGRAPHICS 92", corpsource = "Inf. Technol. Inst., Singapore", keywords = "Brownian motion; Clouds; clouds; computational geometry; Computer graphics; computer graphics; discrete approximations; Discrete approximations; discrete approximations; Finite grid plane; finite grid plane; fractal geometry; Fractal geometry; fractal geometry; fractional; Fractional Brownian motion; geography; procedure; recursive random midpoint-displacement; Recursive random midpoint-displacement procedure; Terrain-rendering algorithms; terrain-rendering algorithms; topographical displays; Topographical displays; topographical displays; topography (Earth); water; Water; water", thesaurus = "Brownian motion; Computational geometry; Computer graphics; Geography; Topography [Earth]", treatment = "P Practical", } @Article{Luo:1992:FCL, author = "Xiaochun Luo and David N. Schramm", title = "Fractals and Cosmological Large-Scale Structure", journal = j-SCIENCE, volume = "256", number = "5056", pages = "513--515", day = "24", month = apr, year = "1992", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.256.5056.513", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/256/5056/513.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Meisel:1992:GMR, author = "L. V. Meisel", title = "Generalized {Mandelbrot} rule for fractal sections", journal = j-PHYS-REV-A, volume = "45", pages = "654--??", year = "1992", CODEN = "PLRAAN", ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519", ISSN-L = "1050-2947", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRA/v45/e654", acknowledgement = ack-nhfb, fjournal = "Physical Review A (Atomic, Molecular, and Optical Physics)", } @InCollection{Peitgen:1992:CFNa, author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar Saupe", title = "Chaos and Fractals: New Frontiers of Science", crossref = "Peitgen:1992:CFNb", chapter = "5", pages = "229--296", year = "1992", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @InCollection{Peitgen:1992:EIS, author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar Saupe", booktitle = "Chaos and Fractals: New Frontiers of Science", title = "Encoding Images By Simple Transformations", chapter = "5", publisher = pub-SV, address = pub-SV:adr, pages = "229--296", year = "1992", ISBN = "0-387-97903-4", ISBN-13 = "978-0-387-97903-8", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Book{Peitgen:1992:FCPa, author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar Saupe", title = "Fractals for the Classroom. Part One: Introduction to Fractals and Chaos", publisher = pub-SV, address = pub-SV:adr-NY, pages = "xiv + 450", year = "1992", ISBN = "0-387-97041-X", ISBN-13 = "978-0-387-97041-7", LCCN = "????", bibdate = "Tue Oct 25 10:42:29 GMT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", } @Book{Peitgen:1992:FCPb, author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar Saupe", title = "Fractals for the Classroom. Part Two: Complex Systems and {Mandelbrot} Set", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 500", year = "1992", ISBN = "0-387-97722-8", ISBN-13 = "978-0-387-97722-5", LCCN = "????", bibdate = "Tue Oct 25 10:42:33 GMT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", } @Article{Philip:1992:FLM, author = "Kenelm W. Philip", title = "Field lines in the {Mandelbrot} set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "16", number = "4", pages = "443--447", month = "Winter", year = "1992", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Univ of Alaska", affiliationaddress = "Fairbanks, AK, USA", classification = "701.1; 723.1; 723.2; 921.1; 921.4; 921.6", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Angle slicing decomposition; Color computer graphics; Color image processing; Computational methods; Contrast color lookup table; Electric fields; Field lines; Fractals; Image processing; Iterative methods; Mandelbrot set; Nonlinear equations; Set theory; Spatial frequency doubling; Table lookup", } @Article{Sakas:1992:FAV, author = "G. Sakas and R. Westermann", title = "A functional approach to the visual simulation of gaseous turbulence", journal = j-CGF, volume = "11", number = "3", pages = "C107--C117, C467--C468", month = "????", year = "1992", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Mon Apr 14 10:23:20 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods); A4725 (Turbulent flows, convection, and heat transfer); C6130B (Graphics techniques); C7320 (Physics and Chemistry)", conflocation = "Cambridge, UK; 7-11 Sept. 1992", conftitle = "European Association for Computer Graphics 13th Annual Conference. EUROGRAPHICS 92", corpsource = "Tech. Hochschule Darmstadt, Germany", keywords = "2D animation; 3D; 3D animation; animation; Clouds; clouds; computer animation; computer graphics; Computer graphics; fire; Fire; fire; flow simulation; fractals; Functional method; functional method; gaseous turbulence visual simulation; Gaseous turbulence visual simulation; parallel; Parallel processing; physics computing; processing; spectral theory of turbulence; Spectral theory of turbulence; spectral theory of turbulence; time-varying fractals; Time-varying fractals; time-varying fractals; turbulence; turbulent motion; Turbulent motion; turbulent motion", thesaurus = "Computer animation; Flow simulation; Fractals; Parallel processing; Physics computing; Turbulence", treatment = "P Practical", } @Article{Setti:1992:GEH, author = "Alberto G. Setti", title = "{Gaussian} estimates for the heat kernel of the weighted {Laplacian} and fractal measures", journal = j-CAN-J-MATH, volume = "44", number = "??", pages = "1061--1078", month = "????", year = "1992", CODEN = "CJMAAB", DOI = "http://dx.doi.org/10.4153/CJM-1992-065-4", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", bibdate = "Sat Sep 10 15:39:03 MDT 2011", bibsource = "http://cms.math.ca/cjm/v44/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/canjmath1990.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", } @Article{Sleeman:1992:ABC, author = "B. D. Sleeman and Chen Hua", title = "An analogue of {Berry}'s conjecture for the phase in fractal obstacle scattering", journal = j-IMA-J-APPL-MATH, volume = "49", number = "3", pages = "193--202", month = "????", year = "1992", CODEN = "IJAMDM", ISSN = "0272-4960 (print), 1464-3634 (electronic)", ISSN-L = "0272-4960", MRclass = "35P25 (58G18 76Q05)", MRnumber = "94g:35164", bibdate = "Tue Dec 26 06:37:59 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/imajapplmath.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Tsonis:1992:NPW, author = "A. A. Tsonis and J. B. Elsner", title = "Nonlinear prediction as a way of distinguishing chaos from random fractal sequences", journal = j-NATURE, volume = "358", number = "6383", pages = "217--220", day = "16", month = jul, year = "1992", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/358217a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v358/n6383/pdf/358217a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Wang:1992:FNE, author = "Bennan Wang and Shi Yin", title = "The fractal nature of an ecological model", journal = j-CGF, volume = "11", number = "1", pages = "61--64", month = mar, year = "1992", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Mon Apr 14 10:23:20 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "C4260 (Computational geometry); C6130B (Graphics techniques)", corpsource = "Dept. of Syst. Ecol., Res. Centre for Eco-Environ. Sci., Acad. Sinica, Beijing, China", keywords = "computational geometry; Computer graphics; computer graphics; convergence maps; Convergence maps; convergence maps; Ecological model; ecological model; fractal characteristics; fractals; multi-; Multi-fractal characteristics; Patterns; patterns", thesaurus = "Computational geometry; Computer graphics; Fractals", treatment = "P Practical; T Theoretical or Mathematical", xxauthor = "Bennan Wang and Yin Shi", } @Article{Anonymous:1993:BRB, author = "Anonymous", title = "Book Review: {{\booktitle{Transition to Chaos: The Orbit Diagram and the Mandelbrot Set}}, by Robert L. Devaney and Hassan Aref}", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "308--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anonymous:1993:MZW, author = "Anonymous", title = "{Mandelbrot} and {Zewail} Win {1993 Wolf Prizes in Physics, Chemistry}", journal = j-PHYS-TODAY, volume = "46", number = "6", pages = "109--??", month = jun, year = "1993", CODEN = "PHTOAD", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/phtoad/v46/i6/p109/s1", acknowledgement = ack-nhfb, fjournal = "Physics Today", } @Article{Anonymous:1993:TCO, author = "Anonymous", title = "Transition to Chaos: The Orbit Diagram and the {Mandelbrot} Set, with {Robert L. Devaney and Hassan Aref}", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "308--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Aref:1993:RBC, author = "Hassan Aref", title = "Review: {{\booktitle{Transition to Chaos: The Orbit Diagram and the Mandelbrot Set}}, with Robert L. Devaney}", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "308--309", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/siread/v35/i2/p308/s1; http://www.jstor.org/stable/2133149", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Atela:1993:MSA, author = "Pau Atela", title = "The {Mandelbrot} Set and $\sigma$-Automorphisms of Quotients of the Shift", journal = j-TRANS-AM-MATH-SOC, volume = "335", number = "2", pages = "683--703", month = feb, year = "1993", CODEN = "TAMTAM", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2154400", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", } @InCollection{Barnsley:1993:FMR, author = "Michael F. Barnsley", title = "Fractal modelling of real world images", crossref = "Barnsley:1993:FE", pages = "219--239", year = "1993", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", crindex = "DS 516.15 BARN", keywords = "UCT barcode 1988 03837 401", } @Article{Bossomaier:1993:PCH, author = "Terry Bossomaier and Adrian Loeff", title = "Parallel computation of the {Hausdorff} distance between images", journal = j-PARALLEL-COMPUTING, volume = "19", number = "10", pages = "1129--1140", month = oct, year = "1993", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", MRclass = "68U05 (68Q22)", MRnumber = "1 244 726", bibdate = "Mon Apr 14 12:07:40 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", acknowledgement = ack-nhfb, classification = "C4240P (Parallel programming and algorithm theory); C4260 (Computational geometry); C5220P (Parallel architecture); C6130B (Graphics techniques)", corpsource = "Comput. Sci. Lab., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Parallel Computing", keywords = "32-node transputer network; algorithms; computational geometry; data compression; Euclidean; fractals; Hausdorff distance; images; linear performance; metric; parallel; parallel architectures; parallel computation; simulation", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Brivio:1993:FMD, author = "P. A. Brivio and D. Marini", title = "A fractal method for digital elevation model construction and its application to a mountain region", journal = j-CGF, volume = "12", number = "5", pages = "297--309", month = dec, year = "1993", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Mon Apr 14 10:23:20 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "C4260 (Computational geometry); C6130B (Graphics techniques); C7340 (Geophysics)", corpsource = "Nat. Res. Council, Milan, Italy", keywords = "(Earth); cartography; computational geometry; data; Data set; DEM; digital elevation model; Digital elevation model; digital elevation model; fBm; FBm; fBm; fractal dimension; Fractal dimension; fractal dimension; Fractal geometry; fractal geometry; Fractal method; fractal method; fractals; High mountain profiles; high mountain profiles; high relief terrain modeling; High relief terrain modeling; high relief terrain modeling; IFS; mathematical principles; Mathematical principles; Mountain region; mountain region; photorealistic rendering; Photorealistic rendering; photorealistic rendering; self; Self similarity; set; similarity; Surface relief; surface relief; topography", thesaurus = "Cartography; Computational geometry; Fractals; Topography [Earth]", treatment = "P Practical", } @Article{Culik:1993:AAR, author = "Karel {Culik II} and Simant Dube", title = "Affine automata and related techniques for generation of complex images", journal = j-THEOR-COMP-SCI, volume = "116", number = "2", pages = "373--398", day = "16", month = aug, year = "1993", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:17:28 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1993&volume=116&issue=2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs1990.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1993&volume=116&issue=2&aid=1241", acknowledgement = ack-nhfb, classification = "C4220 (Automata theory); C4260 (Computational geometry); C6130B (Graphics techniques)", corpsource = "Dept. of Comput. Sci., South Carolina Univ., Columbia, SC, USA", keywords = "affine regular sets; affine transformations; automata theory; automaton; complex images generation; computational geometry; computer graphics; fractals; mutually recursive function systems; probabilistic affine automata; probabilistic finite generators", pubcountry = "Netherlands", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Culik:1993:ECW, author = "K. Culik and S. Dube", title = "Efficient compression of wavelet coefficients for smooth and fractal-like data", journal = j-LECT-NOTES-COMP-SCI, volume = "665", number = "??", pages = "343--??", month = "????", year = "1993", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Mon May 13 11:49:00 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Culik:1993:PRS, author = "Karel {Culik II} and Jarkko Kari", title = "Parametrized recurrent systems for image generation", journal = j-INFO-PROC-LETT, volume = "48", number = "6", pages = "267--274", day = "20", month = dec, year = "1993", CODEN = "IFPLAT", ISSN = "0020-0190 (print), 1872-6119 (electronic)", ISSN-L = "0020-0190", MRclass = "68U10", MRnumber = "94m:68195", bibdate = "Wed Nov 11 12:16:26 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/infoproc1990.bib", acknowledgement = ack-nhfb, affiliation = "Univ. of South Carolina", affiliationaddress = "Columbia, SC, USA", classification = "723.2; 741; 921; C4260 (Computational geometry); C5260B (Computer vision and picture processing)", corpsource = "Dept.of Comput. Sci., South Carolina Univ., Columbia, SC, USA", journalabr = "Inf Process Lett", keywords = "Attractor; Computational geometry; computational geometry; Computer graphics; fractals; Image design; Image generation; image generation; image processing; Imaging techniques; Mutually recursive function systems; parameterized recurrent systems; Parametrized recurrent systems; Recursive functions; variable transformations", treatment = "P Practical; T Theoretical or Mathematical", } @InProceedings{Davis:1993:SSR, author = "A. B. Davis and S. Lovejoy and D. Schertzer", title = "Supercomputer simulation of radiative transfer inside multifractal cloud models", crossref = "Keevallik:1993:ICP", pages = "112--115", year = "1993", bibdate = "Mon Aug 26 10:38:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, } @Article{deVries:1993:WLD, author = "Pedro de Vries and Hans de Raedt and Ad Lagendijk", title = "Wave localization in disordered and fractal systems", journal = j-COMP-PHYS-COMM, volume = "75", number = "3", pages = "298--310", month = may, year = "1993", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/0010-4655(93)90046-F", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:29:38 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/001046559390046F", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Domaszewicz:1993:SLS, author = "Jaroslaw Domaszewicz and Vinay A. Vaishampayan", title = "Structural limitations of self-affine and partially self-affine fractal compression", journal = j-PROC-SPIE, volume = "2094", number = "??", pages = "1498--1507", month = "????", year = "1993", CODEN = "????", ISSN = "????", LCCN = "TA1632.N478.1992y", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Engel:1993:MJS, author = "Alejandro B. Engel", title = "Morphosis of the {Julia} set of the real parameter family of complex quadratic maps", journal = j-COMPUTERS-AND-GRAPHICS, volume = "17", number = "3", pages = "315--319", month = may # "--" # jun, year = "1993", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Rochester Inst of Technology", affiliationaddress = "Rochester, NY, USA", classification = "723.5; 921.4; 921.6", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Color computer graphics; Complex quadratic maps; Fractals; Iterative methods; Julia sets; Mandelbrot set; Morphosis; Set theory", } @InProceedings{Gharavi-Alkhansari:1993:FBI, author = "Mohammad Gharavi-Alkhansari and Thomas S. Huang", editor = "Anonymous", booktitle = "{PCS'93: 1993 Picture Coding Symposium proceedings, 17--19 March, 1993, Swiss Federal Institute of Technology, Lausanne, Switzerland}", title = "A fractal-based image block-coding algorithm", publisher = "Swiss Federal Institute of Technology", address = "Lausanne, Switzerland", pages = "1.7", month = mar, year = "1993", LCCN = "TA1632.P611p 1993", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Gibbs:1993:PF, author = "W. Wayt Gibbs", title = "Practical Fractal", journal = j-SCI-AMER, volume = "269", number = "1", pages = "107--108", month = jul, year = "1993", CODEN = "SCAMAC", DOI = "http://dx.doi.org/10.1038/scientificamerican0793-107", ISSN = "0036-8733 (print), 1946-7087 (electronic)", ISSN-L = "0036-8733", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/scientificamerican/journal/v269/n1/pdf/scientificamerican0793-107.pdf", acknowledgement = ack-nhfb, ajournal = "Sci. Amer.", fjournal = "Scientific American", } @Article{Gujar:1993:TGF, author = "Uday G. Gujar and Virendra C. Bhavsar and Stephen Y. M. Choi and Prem K. Kalra", title = "Traversed geometric fractals", journal = j-IEEE-CGA, volume = "13", number = "5", pages = "61--67", month = sep, year = "1993", CODEN = "ICGADZ", ISSN = "0272-1716 (print), 1558-1756 (electronic)", ISSN-L = "0272-1716", bibdate = "Fri Jan 5 07:58:42 MST 1996", bibsource = "Graphics/siggraph/93.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeecga.bib", abstract = "We introduced the concept of traversal strategies to generate numerous fractal images in contrast to a single image obtainable otherwise.", acknowledgement = ack-nhfb, annote = "We introduce the concept of traversal strategies to generate numerous fractal images in contrast to a single image obtainable otherwise.", fjournal = "IEEE Computer Graphics and Applications", } @Article{Hurtgen:1993:CFT, author = "Bernd H{\"u}rtgen", title = "Contractivity of fractal transforms for image coding", journal = j-ELECT-LETTERS, volume = "29", number = "20", pages = "1749--1750", month = sep, year = "1993", CODEN = "ELLEAK", ISSN = "0013-5194 (print), 1350-911X (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Hurtgen:1993:FHC, author = "Bernd H{\"u}rtgen and Christoph Stiller", title = "Fast hierarchical codebook search for fractal coding of still images", journal = j-PROC-SPIE, volume = "1977", number = "??", pages = "397--408", month = apr, year = "1993", CODEN = "????", ISBN = "0-8194-1223-6", ISBN-13 = "978-0-8194-1223-2", ISSN = "????", LCCN = "R857.P52 V53 1993, TS510.S63 v.1977", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Liu:1993:EFT, author = "Ying Liu", title = "Extensions of fractal theory", journal = j-PROC-SPIE, volume = "1966", number = "??", pages = "255--268", month = "????", year = "1993", CODEN = "????", ISSN = "????", LCCN = "TA1632.N478.1992y", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Murphy:1993:PFH, author = "Nancey Murphy", title = "Philosophical fractals: Or, history as metaphilosophy", journal = j-STUD-HIST-PHILOS-SCI, volume = "24", number = "3", pages = "501--508", month = aug, year = "1993", CODEN = "SHPSB5", DOI = "http://dx.doi.org/10.1016/0039-3681(93)90041-H", ISSN = "0039-3681 (print), 1879-2510 (electronic)", ISSN-L = "0039-3681", bibdate = "Sun Nov 6 10:27:50 MST 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/shps-a.bib; http://www.sciencedirect.com/science/journal/00393681", URL = "http://www.sciencedirect.com/science/article/pii/003936819390041H", acknowledgement = ack-nhfb, fjournal = "Studies in History and Philosophy of Science Part A", } @Book{Peitgen:1993:CFN, author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar Saupe", title = "Chaos and Fractals: New Frontiers of Science (corrected second printing)", publisher = pub-SV, address = pub-SV:adr, pages = "xvi + 984, with 686 illustrations, 40 in color", year = "1993", ISBN = "0-387-97903-4, 3-540-97903-4", ISBN-13 = "978-0-387-97903-8, 978-3-540-97903-6", LCCN = "QA614.86 .P43 1993", bibdate = "Wed Dec 15 08:05:28 1993", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/texbook2.bib", price = "US\$49", acknowledgement = ack-nhfb, } @Article{Ratliff:1993:MFI, author = "Michael I. Ratliff", title = "{Mandelbrot}'s Functional Iteration and Continued Fractions", journal = j-FIB-QUART, volume = "31", number = "3", pages = "263--267", month = aug, year = "1993", CODEN = "FIBQAU", ISSN = "0015-0517", ISSN-L = "0015-0517", bibdate = "Thu Oct 20 18:01:59 MDT 2011", bibsource = "http://www.fq.math.ca/31-3.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/fibquart.bib", URL = "http://www.fq.math.ca/Scanned/31-3/ratliff.pdf", acknowledgement = ack-nhfb, ajournal = "Fib. Quart", fjournal = "The Fibonacci Quarterly. Official Organ of the Fibonacci Association", } @Article{Sahimi:1993:FPR, author = "Muhammad Sahimi", title = "Flow phenomena in rocks: from continuum models to fractals, percolation, cellular automata, and simulated annealing", journal = j-REV-MOD-PHYS, volume = "65", number = "4", pages = "1393--1534", month = oct, year = "1993", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.65.1393", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", bibdate = "Tue May 22 16:37:20 MDT 2012", bibsource = "http://rmp.aps.org/toc/RMP/v65/i4; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/revmodphys1990.bib", URL = "http://link.aps.org/doi/10.1103/RevModPhys.65.1393; http://rmp.aps.org/abstract/RMP/v65/i4/p1393_1", acknowledgement = ack-nhfb, fjournal = "Reviews of Modern Physics", } @Article{Saka:1993:PSF, author = "G. Saka and F. Schroder and H.-J. Koppert", title = "Pseudo-satellite film using fractal clouds to enhance animated weather forecasting", journal = j-CGF, volume = "12", number = "3", pages = "C329--C338", month = "????", year = "1993", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Mon Apr 14 10:23:20 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "C6130B (Graphics techniques); C7340 (Geophysics)", conflocation = "Barcelona, Spain; 6-10 Sept. 1993", conftitle = "European Association for Computer Graphics 14th Annual Conference and Exhibition. EUROGRAPHICS '93", corpsource = "Fraunhofer Inst. for Comput. Graphics, Darmstadt, Germany", keywords = "animated weather; Animated weather forecasting; clouds; computer animation; data visualisation; forecasting; fractal clouds; Fractal clouds; fractals; geophysics computing; National German Meteorological Office; pseudo-; pseudo-satellite film; Pseudo-satellite film; Pseudo-satellite images; satellite images; simulation data; Television stations; television stations; TRITON; video sequences; Video sequences; video sequences; weather forecasting; Weather forecasting simulation data", thesaurus = "Clouds; Computer animation; Data visualisation; Fractals; Geophysics computing; Weather forecasting", treatment = "P Practical", } @Article{Shirriff:1993:IFG, author = "Ken W. Shirriff", title = "An investigation of fractals generated by $z \rightarrow z^{-n} + c$", journal = j-COMPUTERS-AND-GRAPHICS, volume = "17", number = "5", pages = "603--607", month = sep # "--" # oct, year = "1993", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Fri Feb 07 11:06:24 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Univ of California", affiliationaddress = "Berkeley, CA, USA", classification = "723.5; 731.4; 921.4; 921.6", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Computer graphics; Cycle periodicity; Fractal generation; Fractals; Function evaluation; Iterative methods; Julia sets; Lyapunov exponents; Lyapunov methods; Set theory", } @Article{Sommerer:1993:PFM, author = "John C. Sommerer and Edward Ott", title = "Particles Floating on a Moving Fluid: {A} Dynamically Comprehensible Physical Fractal", journal = j-SCIENCE, volume = "259", number = "5093", pages = "335--339", day = "15", month = jan, year = "1993", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.259.5093.335", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/259/5093/335.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Young:1993:ICP, author = "Bong Kim Young and Sub Kim Hoi and Oh Kim Hong and Yong Shin Sung", title = "Infinite-corner-point fractal image generation by {Newton}'s method for solving {$\exp(-\alpha \zeta + Z / \zeta - Z) - 1 = 0$}", journal = j-COMPUTERS-AND-GRAPHICS, volume = "17", number = "6", pages = "705--711", month = nov # "--" # dec, year = "1993", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Korea Advanced Inst of Science and Technology", affiliationaddress = "Taejon, S Korea", classification = "723.5; 921.1; 921.4; 921.6", conferenceyear = "1993", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Attractors; Chaos theory; Computer graphics; Convergence of numerical methods; Fractal generation; Fractals; Function evaluation; Julia sets; Newton's method; Nonlinear equations; Recursive functions; Root loci; Set theory; Visualization", xxauthor = "Young Bong Kim and Hoi Sub Kim and Hong Oh Kim and Sung Yong Shin", xxnote = "Issue missing from U of Utah Marriott Library??", } @Article{Atiyah:1994:RBM, author = "Michael Atiyah and Armand Borel and G. J. Chaitin and Daniel Friedan and James Glimm and others", title = "Responses to {{\booktitle{Theoretical mathematics: toward a cultural synthesis of mathematics and theoretical physics}}, by A. Jaffe and F. Quinn}", journal = j-BULL-AMS, volume = "30", number = "??", pages = "178--207", month = "????", year = "1994", CODEN = "BAMOAD", ISSN = "0002-9904 (print), 1936-881X (electronic)", ISSN-L = "0002-9904", bibdate = "Sat Sep 8 18:45:02 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "math/9404229", fjournal = "Bulletin of the American Mathematical Society", primaryclass = "math-ho", } @Article{Balkin:1994:CEC, author = "Sandy D. Balkin and Elizabeth L. Golebiewski and Clifford A. Reiter", title = "Chaos and elliptic curves", journal = j-COMPUTERS-AND-GRAPHICS, volume = "18", number = "1", pages = "113--117", month = jan # "--" # feb, year = "1994", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.math.utah.edu/pub/tex/bib/cryptography1990.bib", acknowledgement = ack-nhfb, classification = "723.5; 921.4; 921.6", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Calculations; Chaos theory; Computer graphics; Elliptic curves; Escape time behavior; Function evaluation; Iterative methods; Julia sets; Mandelbrot sets; Number theory; Set theory", } @Article{Bradley:1994:CSS, author = "James Bradley", title = "A complete ${L}$-system specification for generating an exact self-affine growth-decay function with a random walk scaling property", journal = j-COMP-J, volume = "37", number = "1", pages = "58--66", month = "????", year = "1994", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Wed Jul 21 09:54:00 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compj1990.bib; http://www3.oup.co.uk/computer_journal/Volume_37/Issue_01/Vol37_01.index.html", URL = "http://www3.oup.co.uk/computer_journal/Volume_37/Issue_01/Vol37_01.body.html#AbstractBradley", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Calgary Univ., Alta., Canada", author-1-adr = "Department of Computer Science, University of Calgary, Calgary, Alberta, Canada", classcodes = "C4260 (Computational geometry)", classification = "C4260 (Computational geometry)", corpsource = "Dept. of Comput. Sci., Calgary Univ., Alta., Canada", keywords = "affine time functions; computational geometry; congruent rotation; Congruent rotation; E5:3 functions; exact replications; Exact replications; exact self-; Exact self-affine time functions; fractals; functions; golden; golden mean; Golden mean; Golden spiral; growth-decay 12345abc structures; Growth-decay 12345abc structures; L-system specification; processes; random; random walk scaling property; Random walk scaling property; spiral", thesaurus = "Computational geometry; Fractals; Functions; Random processes", treatment = "T Theoretical or Mathematical", } @Article{Brune:1994:MTF, author = "Harald Brune and Christoph Romainczyk and Holger R{\"o}der and Klaus Kern", title = "Mechanism of the transition from fractal to dendritic growth of surface aggregates", journal = j-NATURE, volume = "369", number = "6480", pages = "469--471", day = "9", month = jun, year = "1994", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/369469a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v369/n6480/pdf/369469a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Casey:1994:SSF, author = "Stephen D. Casey and Nicholas F. Reingold", title = "Self-Similar Fractal Sets: Theory and Procedure", journal = j-IEEE-CGA, volume = "14", number = "3", pages = "73--82", month = may, year = "1994", CODEN = "ICGADZ", ISSN = "0272-1716 (print), 1558-1756 (electronic)", ISSN-L = "0272-1716", bibdate = "Sat Jan 25 06:42:48 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeecga.bib", abstract = "The algorithm presented here generates approximations of self-similar fractal sets. A program developed from the algorithm reproduces Mandelboot's self-similar fractals.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math. and Stat., American Univ., Washington, DC, USA", classification = "723.1; 723.5; 921.4; 921.6", fjournal = "IEEE Computer Graphics and Applications", journalabr = "IEEE Comput Graphics Appl", keywords = "Algorithms; Approximation theory; Computer software; Computers; Fractal geometry; Fractals; Geometry; Iterative methods; Mathematical models; Numerical analysis; Pattern rewriting system; Self similar fractals; Set theory; Visual inspection", } @Article{Dixon:1994:DSA, author = "A. R. Dixon and G. H. Kirby and D. P. M. Wills", title = "A data structure for artificial terrain generation", journal = j-CGF, volume = "13", number = "1", pages = "37--47", month = mar, year = "1994", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Mon Apr 14 10:23:20 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "C4260 (Computational geometry); C6120 (File organisation); C6130B (Graphics techniques); C6160S (Spatial and pictorial databases); C7340 (Geophysics); C7840 (Geography and cartography)", corpsource = "Dept. of Comput. Sci., Hull Univ., UK", keywords = "artificial terrain; Artificial terrain; artificial terrain; artificial terrain generation; Artificial terrain generation; computational geometry; computer graphics; Computer graphics; computer graphics; consistency; Data structure; data structure; edge-based; Edge-based data structure; fractal; Fractal geometry; fractal geometry; Fractal modelling; fractals; Fractional Brownian motion; fractional Brownian motion; geographic information systems; geophysics computing; Hexagons; hexagons; modelling; neighbouring polygons; Neighbouring polygons; neighbouring polygons; polygons; Polygons; polygons; polyhedral; Polyhedral data structure; polyhedral data structures; Polyhedral data structures; quadrilateral; Quadrilateral; quadrilateral; random midpoint displacement; Random midpoint displacement; recursive subdivision; recursive subdivision algorithms; Recursive subdivision algorithms; recursive subdivision algorithms; Recursive subdivision techniques; spatial data; Spatial data consistency; spatial data structures; techniques; Triangles; triangles", thesaurus = "Computational geometry; Computer graphics; Fractals; Geographic information systems; Geophysics computing; Spatial data structures", treatment = "A Application; P Practical", } @Article{Dixon:1994:TCD, author = "A. R. Dixon and G. H. Kirby and D. P. M. Wills", title = "Towards Context Dependent Interpolation of Digital Elevation Models", journal = j-CGF, volume = "13", number = "3", pages = "C/23--C/32", month = "????", year = "1994", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Mon Apr 14 10:23:20 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4130 (Interpolation and function approximation)C7340 (Geophysics); C4260 (Computational geometry); C6130B (Graphics techniques); C7340 (Geophysics computing); C7460 (Aerospace engineering computing); C7460 (Aerospace engineering); C7840 (Geography and cartography computing); C7840 (Geography and cartography)", conflocation = "Oslo, Norway; 12-16 Sept. 1994", conftitle = "15th Annual Conference and Exhibition. EUROGRAPHICS'94", corpsource = "Dept. of Comput. Sci., Hull Univ., UK", keywords = "aerospace simulation; Artificial terrain generation; artificial terrain generation; cartography; computational geometry; computer graphics; context dependent interpolation; Context dependent interpolation; Digital elevation models; digital elevation models; fBm model; FBm model; Flight simulation; flight simulation; fractal; Fractal geometry; fractals; fractional Brownian motion; Fractional Brownian motion; geometry; Interdependence; interdependence; interpolation; natural phenomena; Natural phenomena; neighbouring points; Neighbouring points; Recursive subdivision algorithm; recursive subdivision algorithm; run-time; Run-time storage requirements; spatial resolution; Spatial resolution; spatial resolution; storage requirements", thesaurus = "Aerospace simulation; Cartography; Computational geometry; Computer graphics; Fractals; Interpolation", treatment = "P Practical", } @Article{Egolf:1994:RBF, author = "David A. Egolf and Henry S. Greenside", title = "Relation between fractal dimension and spatial correlation length for extensive chaos", journal = j-NATURE, volume = "369", number = "6476", pages = "129--131", day = "12", month = may, year = "1994", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/369129a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v369/n6476/pdf/369129a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Fisher:1994:CFM, author = "Y. Fisher and T. P. Shen and D. Rogovin", title = "A comparison of fractal methods with discrete cosine transform ({DCT}) and wavelets", journal = j-PROC-SPIE, volume = "2304-16", number = "??", pages = "132--143", day = "28--29", month = jul, year = "1994", CODEN = "PSISDG", ISSN = "0277-786X (print), 1996-756X (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", URL = "http://inls.ucsd.edu/y/Fractals/spie.ps", } @Article{Huillet:1994:CSS, author = "Thierry Huillet and Bernard Jeannet", title = "On a class of ``skewed'' self-similar and hyperbolic fractals", journal = j-J-MATH-PHYS, volume = "35", number = "12", pages = "6511--6524", month = dec, year = "1994", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.530688", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "28A80 (60K05)", MRnumber = "95i:28003", bibdate = "Tue Nov 1 08:58:20 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v35/i12/p6511_s1", acknowledgement = ack-nhfb, pagecount = "14", } @Article{Jones:1994:FM, author = "David Jones", title = "Fractal money", journal = j-NATURE, volume = "370", number = "6490", pages = "510--510", day = "18", month = aug, year = "1994", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/370510a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v370/n6490/pdf/370510a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Kokol:1994:SSC, author = "P. Kokol", title = "The self-similarity and computer programs", journal = j-SIGPLAN, volume = "29", number = "1", pages = "9--12", month = jan, year = "1994", CODEN = "SINODQ", ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160 (electronic)", ISSN-L = "0362-1340", bibdate = "Fri Apr 24 18:36:02 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/sigplan1990.bib", acknowledgement = ack-nhfb, classification = "C6130B (Graphics techniques); C6130D (Document processing techniques)", corpsource = "Fac. of Tech. Sci., Maribor Univ., Slovenia", keywords = "computer graphics; computer programs; fractals; operators; reserved words; scientific areas; self-similarity; word processing", treatment = "P Practical", } @Article{Linde:1994:SRI, author = "Andrei Linde", title = "The Self-Reproducing Inflationary Universe", journal = j-SCI-AMER, volume = "271", number = "5", pages = "48--?? (Intl. ed. 32--39)", month = nov, year = "1994", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Thu Jan 28 14:31:51 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", abstract = "Modern cosmological theory involves more than just a big bang. In the first instant after the explosive origin, the universe expanded many times faster than the speed of light to become the immense space observed today. An originator of this idea explains how that expansion occurred, as well as a mind-boggling corollary: this universe is only one of an infinite swarm constantly replenishing itself.", acknowledgement = ack-nhfb, affiliation = "Dept. of Phys., Stanford Univ., CA, USA", classification = "A9880D (Theoretical cosmology)", corpsource = "Dept. of Phys., Stanford Univ., CA, USA", keywords = "cosmology; fractals; Self-generating fractal; self-generating fractal; Self-reproducing inflationary universe; self-reproducing inflationary universe", thesaurus = "Cosmology; Fractals", treatment = "T Theoretical or Mathematical", xxjournal = j-SCI-AMER-INT-ED, xxnewdata = "1998.01.30", } @Article{McCloskey:1994:TUR, author = "John McCloskey and C. J. Bean", title = "Temporally Unstable Recurrence of Earthquakes Due to Breaks in Fractal Scaling", journal = j-SCIENCE, volume = "266", number = "5184", pages = "410--412", day = "21", month = oct, year = "1994", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.266.5184.410", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/266/5184/410.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{McFarlane:1994:ODR, author = "I. McFarlane and S. G. Hoggar", title = "Optimal Drivers for the `Random' Iteration Algorithm", journal = j-COMP-J, volume = "37", number = "7", pages = "629--640", month = "????", year = "1994", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Wed Jul 21 09:54:13 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compj1990.bib; http://www3.oup.co.uk/computer_journal/Volume_37/Issue_07/Vol37_07.index.html", URL = "http://www3.oup.co.uk/computer_journal/Volume_37/Issue_07/Vol37_07.body.html#AbstractMcFarlane", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., Glasgow Univ., UK", author-1-adr = "Department of Mathematics, Glasgow Caledonian University, Cowcaddens Road, Glasgow G4 OBA, UK", author-2-adr = "Department of Mathematics, Glasgow Caledonian University, Cowcaddens Road, Glasgow G4 OBA, UK", classcodes = "C4130 (Interpolation and function approximation); C1160 (Combinatorial mathematics)", classification = "C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Glasgow Univ., UK", keywords = "algebra; Attractors; attractors; Collage algorithm; collage algorithm; finite field; Finite field theory; fractals; generator driver; Iterated function system; iterated function system; iterative methods; Latin squares; Minimal length sequences; minimal length sequences; Multiplication; multiplication; number; number generation; Number generator driver; Optimal drivers; optimal drivers; optimisation; random; Random iteration algorithm; random iteration algorithm; theory", thesaurus = "Algebra; Fractals; Iterative methods; Optimisation; Random number generation", treatment = "T Theoretical or Mathematical", } @Article{Metzler:1994:MQM, author = "Wolfgang Metzler", title = "The ``mystery'' of the quadratic {Mandelbrot} set", journal = j-AMER-J-PHYSICS, volume = "62", pages = "813--??", year = "1994", CODEN = "AJPIAS", ISSN = "0002-9505", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/ajpias/v62/i9/p813/s1", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", } @Article{Nakayama:1994:DPF, author = "Tsuneyoshi Nakayama and Kousuke Yakubo and Raymond L. Orbach", title = "Dynamical properties of fractal networks: Scaling, numerical simulations, and physical realizations", journal = j-REV-MOD-PHYS, volume = "66", number = "2", pages = "381--443", month = apr, year = "1994", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.66.381", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", bibdate = "Tue May 22 16:37:21 MDT 2012", bibsource = "http://rmp.aps.org/toc/RMP/v66/i2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/revmodphys1990.bib", URL = "http://link.aps.org/doi/10.1103/RevModPhys.66.381; http://rmp.aps.org/abstract/RMP/v66/i2/p381_1", acknowledgement = ack-nhfb, fjournal = "Reviews of Modern Physics", } @Article{Peskin:1994:MED, author = "C. S. Peskin and D. M. McQueen", title = "Mechanical equilibrium determines the fractal fiber architecture of the aortic heart valve leaflets", journal = j-AM-J-PHYSIOL, volume = "266", number = "1", pages = "H319--H328", month = jan, year = "1994", CODEN = "AJPHAP", ISSN = "0002-9513", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/csmmepcb.bib", } @Article{Philip:1994:WMM, author = "A. G. Davis Philip and Michael Frame and Adam Robucci", title = "Warped midgets in the {Mandelbrot} set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "18", number = "2", pages = "239--248", month = mar # "--" # apr, year = "1994", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Wed Feb 5 07:22:58 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "Union Coll and Van Vleck Observatory", affiliationaddress = "Schenectady, NY, USA", classification = "722.2; 723.1; 723.5; 921.4; 921.6", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Algorithms; Angular distortion; Calculations; Cardioid atoms; Computer graphics; Computer software; Computer terminals; Conformal mapping; Convergence of numerical methods; Geometry; Iteration; Iterative methods; Linear distortion; Mandelbrot set; Sea horse valley; Tendrils; Warped midgets", } @Article{Pickover:1994:APG, author = "Clifford A. Pickover", title = "Automatic parallel generation of {Aeolian} fractals on the {IBM Power Visualization System}", journal = j-COMPUTERS-AND-GRAPHICS, volume = "18", number = "3", pages = "407--416", month = may # "--" # jun, year = "1994", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Mar 25 13:40:59 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", acknowledgement = ack-nhfb, affiliation = "IBM T. J. Watson Research Cent", affiliationaddress = "Yorktown Heights, NY, USA", classcodes = "C6130B (Graphics techniques); C6110P (Parallel programming)", classification = "721.1; 722.4; 723.2; 723.5; 741.2; 921.4", conferenceyear = "1994", corpsource = "IBM T. J. Watson Res. Center, Yorktown Heights, NY, USA", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Aeolian fractals; aesthetically appealing fractal patterns; automatic parallel generation; Automatic parallel generation; automatic parameter; C listings; Computational complexity; Computational methods; computer graphics; Computer graphics; Computer hardware; Computer software; Computer vision; data visualisation; fractals; Fractals; IBM computers; IBM Power Visualization System; IBM Power Visualization Systems; Iterative methods; microcomputer applications; parallel; parallel graphics computer; Parallel processing systems; pattern generation; Pattern recognition; personal computers; Personal computers; programming; selection; Set theory", treatment = "P Practical", } @Article{Rice:1994:FC, author = "Sean Rice", title = "Fractal Colonies", journal = j-SCIENCE, volume = "266", number = "5185", pages = "664--665", day = "28", month = oct, year = "1994", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.266.5185.664-a", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/266/5185/664.2.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Sloan:1994:LBR, author = "Alan D. Sloan", title = "Low-bit-rate fractal image coding", journal = j-PROC-SPIE, volume = "2239", number = "??", pages = "210--213", month = "????", year = "1994", CODEN = "????", ISSN = "????", LCCN = "TA1632.N478.1992y", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Vlad:1994:SRG, author = "Marcel Ovidiu Vlad", title = "Stochastic renormalization group approach to random point processes. {A} fractal generalization of {Poisson} statistics", journal = j-J-MATH-PHYS, volume = "35", number = "2", pages = "796--807", month = feb, year = "1994", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.530612", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "60G55", MRnumber = "1 257 548", bibdate = "Tue Nov 1 08:58:08 MDT 2011", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v35/i2/p796_s1", acknowledgement = ack-nhfb, pagecount = "12", } @Article{Westgaard:1994:MA, author = "Odin Westgaard", title = "A {Mandelbrot} analog", journal = "Performance + Instruction", volume = "33", number = "8", pages = "14--16", month = sep, year = "1994", CODEN = "????", DOI = "http://dx.doi.org/10.1002/pfi.4160330805", ISSN = "????", bibdate = "Sat Sep 08 19:17:46 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://onlinelibrary.wiley.com/doi/10.1002/pfi.4160330805/abstract", acknowledgement = ack-nhfb, onlinedate = "12 Feb 2007", } @Article{Wood:1994:GDC, author = "Christopher M. Wood", title = "General data compression algorithm for space images using fractal techniques", journal = j-PROC-SPIE, volume = "2198", number = "??", pages = "1336--1341", month = "????", year = "1994", CODEN = "????", ISSN = "????", LCCN = "TA1632.N478.1992y", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Woolley:1994:RDP, author = "Stuart J. Woolley and Donald M. Monro", title = "Rate-distortion performance of fractal transforms for image compression", journal = j-FRACTALS, volume = "2", number = "3 (or 6??)", pages = "395--398", month = "????", year = "1994", CODEN = "FRACEG", ISSN = "0218-348X", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", URL = "http://dmsun2.bath.ac.uk:8080/people/papers/montreal.ps.gz", } @Article{Zhao:1994:ICU, author = "Y. Zhao and B. Yuan", title = "Image compression using fractals and discrete cosine transform", journal = j-ELECT-LETTERS, volume = "30", number = "6", pages = "474--475", month = mar, year = "1994", CODEN = "ELLEAK", ISSN = "0013-5194 (print), 1350-911X (electronic)", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Abbott:1995:RBC, author = "Steve Abbott", title = "Review: {{\booktitle{Fractals for the Classroom. Part One: Introduction to Fractals and Chaos}} by H. O. Peitgen, H. J{\"u}rgens, D. Saupe; \booktitle{Fractals for the Classroom. Part Two: Complex Systems and Mandelbrot Set} by H. O. Peitgen, H. J{\"u}rgens, D. Saupe}", journal = j-MATH-GAZ, volume = "79", number = "484", pages = "200", month = mar, year = "1995", CODEN = "MAGAAS", ISSN = "0025-5572", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/3620080", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", } @Book{Anonymous:1995:SHBb, editor = "Anonymous", title = "Symposium in Honor of {Beno{\^\i}t Mandelbrot}", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "i--xii + 629--914", year = "1995", ISSN = "0218-348X", LCCN = "????", MRclass = "00B30", MRnumber = "1410282 (97c:00060)", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Held in Cura{\c{c}}ao, February 2--4, 1995, Fractals {{\bf{3}}} (1995), no. 4", acknowledgement = ack-nhfb, } @Article{Bani-Eqbal:1995:ESF, author = "Behnam Bani-Eqbal", title = "Enhancing the speed of fractal image compression", journal = j-OPTICAL-ENG, volume = "34", number = "6", pages = "1705--1710", month = jun, year = "1995", CODEN = "OPEGAR", ISSN = "0091-3286", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", URL = "ftp://links.uwaterloo.ca/pub/Fractals/Papers/bani95.ps.gz", } @Article{Bani-Eqbal:1995:SFI, author = "Behnam Bani-Eqbal", title = "Speeding up fractal image compression", journal = j-PROC-SPIE, volume = "2418", number = "??", pages = "67--74", month = feb, year = "1995", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Bisoi:1995:NRM, author = "A. K. Bisoi", title = "{Newton Raphson} method, scaling at fractal boundaries and {MATHEMATICA}", journal = j-MATH-COMP-MODELLING, volume = "21", number = "10", pages = "91--102", month = "????", year = "1995", CODEN = "MCMOEG", ISSN = "0895-7177 (print), 1872-9479 (electronic)", MRclass = "65D99", MRnumber = "1 335 594", bibdate = "Sat Jan 13 19:45:17 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib", acknowledgement = ack-nhfb, } @Article{Bohman:1995:HIC, author = "J. Bohman and C.-E. Fr{\"o}berg", title = "Heuristic investigation of chaotic mapping producing fractal objects", journal = j-BIT-NUM-MATH, volume = "35", number = "4", pages = "609--615", month = dec, year = "1995", CODEN = "BITTEL, NBITAB", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01739831", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "28A80 (30B10 30B20 30D05 58F13)", MRnumber = "97k:28016", MRreviewer = "Remo Badii", bibdate = "Wed Jan 4 18:52:24 MST 2006", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=35&issue=4; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "http://www.mai.liu.se/BIT/contents/bit35.html; http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=35&issue=4&spage=609", acknowledgement = ack-nhfb, } @Article{David:1995:TFB, author = "Hollister David", title = "Two fractals based on {Keplerian} solids", journal = j-COMPUTERS-AND-GRAPHICS, volume = "19", number = "6", pages = "885--888", month = nov # "--" # dec, year = "1995", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:17:29 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1995&volume=19&issue=6; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1995&volume=19&issue=6&aid=9500075", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Drewes:1995:GSA, author = "F. Drewes and A. Habel and H.-J. Kreowski and S. Taubenberger", title = "Generating self-affine fractals by collage grammars", journal = j-THEOR-COMP-SCI, volume = "145", number = "1--2", pages = "159--187", day = "10", month = jul, year = "1995", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:19:12 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1995&volume=145&issue=1-2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs1995.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1995&volume=145&issue=1-2&aid=1759", acknowledgement = ack-nhfb, classification = "C4210L (Formal languages and computational linguistics); C6130B (Graphics techniques); C6180 (User interfaces)", corpsource = "Fachbereich Math. und Inf., Bremen Univ., Germany", fjournal = "Theoretical Computer Science", keywords = "circles; collage grammars; computer graphics; fractal pattern; fractals; generalized Sierpinski grammars; grammars; hyperedge replacement; line segments; polygons; polyhedra; self-affine fractals; self-similarity; syntactic devices", pubcountry = "Netherlands", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Erzan:1995:FST, author = "A. Erzan and L. Pietronero and A. Vespignani", title = "The fixed-scale transformation approach to fractal growth", journal = j-REV-MOD-PHYS, volume = "67", number = "3", pages = "545--604", month = jul, year = "1995", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.67.545", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", bibdate = "Tue May 22 16:37:22 MDT 2012", bibsource = "http://rmp.aps.org/toc/RMP/v67/i3; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/revmodphys1990.bib", URL = "http://link.aps.org/doi/10.1103/RevModPhys.67.545; http://rmp.aps.org/abstract/RMP/v67/i3/p545_1", acknowledgement = ack-nhfb, fjournal = "Reviews of Modern Physics", } @Article{Ewing:1995:CWS, author = "John Ewing", title = "Can We See the {Mandelbrot} Set?", journal = j-COLLEGE-MATH-J, volume = "26", number = "2", pages = "90--99", month = mar, year = "1995", CODEN = "????", ISSN = "0746-8342 (print), 1931-1346 (electronic)", ISSN-L = "0746-8342", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2687359", acknowledgement = ack-nhfb, fjournal = "College Mathematics Journal", } @Article{Fernau:1995:VLA, author = "Henning Fernau", title = "Valuations of languages, with applications to fractal geometry", journal = j-THEOR-COMP-SCI, volume = "137", number = "2", pages = "177--217", day = "23", month = jan, year = "1995", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:18:46 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1995&volume=137&issue=2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs1995.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1995&volume=137&issue=2&aid=1690", acknowledgement = ack-nhfb, classification = "C4210L (Formal languages and computational linguistics); C4260 (Computational geometry); C6130B (Graphics techniques)", corpsource = "Lehrstuhl Inf. f{\"u}r Ingenieure und Naturwissenschaftler, Karlsruhe Univ., Germany", fjournal = "Theoretical Computer Science", keywords = "Bernoulli morphisms; computational geometry; context-free grammars; context-free languages; Euclidean spaces; formal languages; fractal geometry; fractals; Hausdorff dimension; morphisms; valuations of languages", pubcountry = "Netherlands", treatment = "P Practical; T Theoretical or Mathematical", } @InProceedings{Forte:1995:TGF, author = "Bruno Forte and Edward Vrscay", title = "Theory of generalized fractal transforms", crossref = "Fisher:1995:NAF", month = jul, year = "1995", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Giarrusso:1995:PPH, author = "Dante Giarrusso and Yuval Fisher", title = "A Parameterization of the Period 3 Hyperbolic Components of the {Mandelbrot} Set", journal = j-PROC-AM-MATH-SOC, volume = "123", number = "12", pages = "3731--3737", month = dec, year = "1995", CODEN = "PAMYAR", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2161901", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", } @InProceedings{Hamzaoui:1995:CCS, author = "Raouf Hamzaoui", title = "Codebook clustering by self-organizing maps for fractal image compression", crossref = "Fisher:1995:NAF", month = jul, year = "1995", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", URL = "ftp://ftp.informatik.uni-freiburg.de/papers/fractal/Hamz95.ps.gz", } @InProceedings{Hart:1995:SHC, author = "John C. Hart and Wayne O. Cochran and Patrick J. Flynn", title = "Similarity Hashing: a computer vision solution to the inverse problem of linear fractals", crossref = "Fisher:1995:NAF", month = jul, year = "1995", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib; http://www.math.utah.edu/pub/tex/bib/hash.bib", } @Article{Hough:1995:EAM, author = "S. E. Hough", title = "Earthquakes in the {Los Angeles} Metropolitan Region: {A} Possible Fractal Distribution of Rupture Size", journal = j-SCIENCE, volume = "267", number = "5195", pages = "211--213", day = "13", month = jan, year = "1995", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.267.5195.211", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/267/5195/211.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @InProceedings{Hurtgen:1995:SEF, author = "Bernd H{\"u}rtgen", booktitle = "Proceedings ICIP-95 (IEEE International Conference on Image Processing)", title = "Statistical evaluation of fractal coding schemes", volume = "III", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "280--283", month = oct, year = "1995", LCCN = "TK8315.I222 1995", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @InProceedings{Kim:1995:NFI, author = "Chang-Su Kim and Rin-Chul Kim and Sang-Uk Lee", title = "Novel fractal image compression method with non-iterative decoder", crossref = "IEEE:1995:IPI", volume = "III", pages = "268--271", month = oct, year = "1995", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Kominek:1995:CRF, author = "John Kominek", title = "Codebook reduction in fractal image compression", journal = j-PROC-SPIE, volume = "2669", number = "??", pages = "33--41", month = "????", year = "1995", CODEN = "????", ISBN = "0-8194-2043-3", ISBN-13 = "978-0-8194-2043-5", ISSN = "????", LCCN = "TS510.S63 v.2669", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Liu:1995:IBC, author = "Ying Liu", title = "Image block coding using exact solutions of fractal equations", journal = j-PROC-SPIE, volume = "2488", number = "??", pages = "135--149", month = "????", year = "1995", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Liu:1995:SFE, author = "Ying Liu", title = "Solution of fractal equation", journal = j-PROC-SPIE, volume = "2418", number = "??", pages = "48--59", month = "????", year = "1995", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Nehlig:1995:FQA, author = "P. W. Nehlig and J.-P. Reveilles", title = "Fractals and Quasi-Affine Transformations", journal = j-CGF, volume = "14", number = "2", pages = "147--158 (or 147--157??)", month = jun, year = "1995", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Tue Mar 17 15:44:38 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, affiliation = "Universit{\'e} Louis Pasteur", affiliationaddress = "Strasbourg, Fr", classification = "721.1; 723.2; 723.5; 921; 921.3; 921.4; C1160 (Combinatorial mathematics); C4260 (Computational geometry)", corpsource = "Centre de Recherches en Informatique, Univ. Louis Pasteur, Strasbourg, France", journalabr = "Comput Graphics Forum", keywords = "Algorithms; Computational geometry; computational geometry; Computational methods; Computer graphics; contracting affine; Contracting affine transformations; Data structures; Digital arithmetic; Discrete geometry; discrete geometry; discretization; Discretization; Dynamical systems; Dynamical systems, Quasi-affine transformations; Fractal curves; Fractal images; fractal images; Fractals; fractals; Fractals; fractals; integer transformation; Integer transformation; integer transformation; Iterative methods; Mathematical transformations; Quasi affine transformations; quasi-affine transformations; rendering; Rendering; transformations", thesaurus = "Computational geometry; Fractals", treatment = "T Theoretical or Mathematical", } @Article{Nettleton:1995:EF, author = "David John Nettleton and Roberto Garigliano", title = "Evolving fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "19", number = "5", pages = "779--782", month = sep # "--" # oct, year = "1995", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:17:25 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1995&volume=19&issue=5; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1995&volume=19&issue=5&aid=9500058", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Pickover:1995:CFB, author = "Clifford A. Pickover", title = "The crying of fractal {Batrachion} 1,489", journal = j-COMPUTERS-AND-GRAPHICS, volume = "19", number = "4", pages = "611--615", month = jul # "--" # aug, year = "1995", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:17:20 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1995&volume=19&issue=4; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1995&volume=19&issue=4&aid=9500039", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Prodinger:1995:SPY, author = "H. Prodinger", title = "Solution of a Problem of {Yekutieli} and {Mandelbrot}", journal = j-LECT-NOTES-COMP-SCI, volume = "911", number = "??", pages = "461--??", month = "????", year = "1995", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Sun Oct 25 11:10:34 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Vlad:1995:GFA, author = "Marcel Ovidiu Vlad and Michael C. Mackey", title = "Generating functional approach to multichannel parallel relaxation with application to the problem of direct energy transfer in fractal systems with dynamic disorder", journal = j-J-MATH-PHYS, volume = "36", number = "4", pages = "1834--1853", month = apr, year = "1995", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "82C05", MRnumber = "95m:82086", MRreviewer = "Paul Krapivsky", bibdate = "Fri Jan 2 07:23:17 MST 1998", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib", acknowledgement = ack-nhfb, } @Article{Wu:1995:RSR, author = "En-Hua Wu", title = "A Radiosity Solution for Random Fractal Surfaces", journal = j-J-VIS-COMP-ANIMATION, volume = "6", number = "4", pages = "219--230 (or 219--229??)", month = oct # "--" # dec, year = "1995", CODEN = "JVCAEO", ISSN = "1049-8907", bibdate = "Tue Jun 3 08:05:21 MDT 1997", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Graphics/rad.bib.gz; ftp://ftp.ira.uka.de/pub/bibliography/Graphics/siggraph/1995.bib.gz; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; telnet sigggraph.org: login biblio", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4260 (Computational geometry); C6130B (Graphics techniques)", corpsource = "Inst. of Comput. Technol., Acad. Sinica, Beijing, China", keywords = "brightness; computational geometry; diffuse interreflection; energy shooting process; fractal geometry; fractal subdivision; fractals; natural phenomena; progressive refinement procedure; radiosity redistribution; radiosity solution; random fractal surfaces; random fractals; ray tracing; ray tracing methods; recursive process; rendering (computer graphics); specular illumination; stochastic modeling; stochastic modelling; visual realism", treatment = "P Practical", } @Book{Baumann:1996:MTP, author = "Gerd Baumann", title = "{Mathematica} in Theoretical Physics: selected examples from classical mechanics to fractals", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 384", year = "1996", ISBN = "0-387-94424-9", ISBN-13 = "978-0-387-94424-1", LCCN = "QC20.7.E4B3813 1996", bibdate = "Fri Nov 08 13:54:38 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib", note = "Revised, translated, expanded and updated edition of \cite{Kaufmann:1992:MWE}", price = "US\$59.00", acknowledgement = ack-nhfb, } @Article{Blackmore:1996:GFD, author = "Denis Blackmore and Jack G. Zhou", title = "A general fractal distribution function for rough surface profiles", journal = j-SIAM-J-APPL-MATH, volume = "56", number = "6", pages = "1694--1719", month = dec, year = "1996", CODEN = "SMJMAP", ISSN = "0036-1399 (print), 1095-712X (electronic)", ISSN-L = "0036-1399", MRclass = "82B41", MRnumber = "97i:82043", bibdate = "Wed Dec 10 09:59:46 MST 1997", bibsource = "Compendex database; http://epubs.siam.org/sam-bin/dbq/toc/SIAP/56/6; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/28312", acknowledgement = ack-nhfb, affiliation = "New Jersey Inst of Technology", affiliationaddress = "NJ, USA", classification = "921; 921.6; 931.2", fjournal = "SIAM Journal on Applied Mathematics", journalabr = "SIAM J Appl Math", keywords = "Approximation theory; Bearing area curve; Distribution functions; Fractals; Mathematical models; Surface profiles; Surface properties; Surface roughness; Topothesy", } @Article{Camp:1996:RBF, author = "Dane R. Camp", title = "Review: {{\booktitle{The Fractal Geometry of Nature}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-MATH-TEACH, volume = "89", number = "3", pages = "256", month = mar, year = "1996", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27969730", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @Article{Carlson:1996:PDR, author = "Paul W. Carlson", title = "Pseudo-{$3$-D} rendering methods for fractals in the complex plane", journal = j-COMPUTERS-AND-GRAPHICS, volume = "20", number = "5", pages = "751--758", month = sep # "--" # oct, year = "1996", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:17:51 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1996&volume=20&issue=5; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1996&volume=20&issue=5&aid=9600048", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Casey:1996:UDT, author = "Stephen D. Casey", title = "Using dimension theory to analyze and classify the generation of fractal sets", journal = j-COMPUTERS-AND-GRAPHICS, volume = "20", number = "5", pages = "731--749", month = sep # "--" # oct, year = "1996", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:17:51 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1996&volume=20&issue=5; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1996&volume=20&issue=5&aid=9600047", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Caso:1996:FMF, author = "Gregory Caso and Pere Obrador and C.-C. J. Kuo", title = "Fast methods for fractal image encoding", journal = j-PROC-SPIE, volume = "2501", number = "??", pages = "583--594", month = "????", year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Caso:1996:NRF, author = "Gregory Caso and C.-C. J. Kuo", title = "New results for fractal\slash wavelet image compression", journal = j-PROC-SPIE, volume = "2727", number = "??", pages = "536--547", month = "????", year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Davis:1996:IIM, author = "Geoffrey Davis", title = "Implicit image models in image fractal compression", journal = j-PROC-SPIE, volume = "2569", number = "??", pages = "88--97", month = "????", year = "1996", CODEN = "????", ISBN = "0-8194-2213-4", ISBN-13 = "978-0-8194-2213-2", ISSN = "????", LCCN = "TS510.S63 v.2825", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Book{Devaney:1996:FGM, author = "Robert L. Devaney", title = "Fractal geometry of the {Mandelbrot} set", publisher = "Key Curriculum Press", address = "Berkeley, CA, USA", year = "1996", ISBN = "1-55953-224-6", ISBN-13 = "978-1-55953-224-2", LCCN = "QA614.86 .F732 1996", bibdate = "Mon Sep 10 13:59:42 MDT 2012", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "One videocassette (70 min.)", abstract = "Devaney shows how the swirling Mandelbrot set is generated from a simple quadratic equation. Explores various patterns and order within the chaos. Using supercomputer animation, explores exploding Julia sets.", acknowledgement = ack-nhfb, subject = "Fractals", tableofcontents = "pt. 1. Iteration and the Mandelbrot set (31 min.) \\ pt. 2. The Mandelbrot set and Julia sets (39 min.)", } @Article{deVega:1996:SGE, author = "H. J. de Vega and N. S{\'a}nchez and F. Combes", title = "Self-gravity as an explanation of the fractal structure of the interstellar medium", journal = j-NATURE, volume = "383", number = "6595", pages = "56--58", day = "5", month = sep, year = "1996", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/383056a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v383/n6595/pdf/383056a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Dixon:1996:GGA, author = "Stephen L. Dixon and Kevin L. Steele and Robert P. Burton", title = "Generation and graphical analysis of {Mandelbrot} and {Julia} sets in more than four dimensions", journal = j-COMPUTERS-AND-GRAPHICS, volume = "20", number = "3", pages = "451--456", month = may # "--" # jun, year = "1996", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:17:42 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1996&volume=20&issue=3; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1996&volume=20&issue=3&aid=9600015", acknowledgement = ack-nhfb, affiliation = "Brigham Young Univ", affiliationaddress = "Provo, UT, USA", classification = "721.1; 723.5; 921.4; 921.6", fjournal = "Computers \& Graphics", journalabr = "Comput Graphics (Pergamon)", keywords = "Computer graphics; Four dimensions; Fractals; Graphical analysis; Hypercomplex number systems; Iterative methods; Mandelbrot and Julia sets; Number theory; Numerical analysis; Set theory", } @Article{Ewing:1996:CJF, author = "Gary J. Ewing and Christopher J. Woodruff", title = "Comparison of {JPEG} and fractal-based image compression on target acquisition by human observers", journal = j-OPTICAL-ENG, volume = "35", number = "1", pages = "284--288", month = jan, year = "1996", CODEN = "OPEGAR", ISSN = "0091-3286", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @InProceedings{Faloutsos:1996:MSD, author = "Christos Faloutsos and Yossi Matias and Abraham Silberschatz", title = "Modeling Skewed Distribution Using Multifractals and the `$80$--$20$' Law", crossref = "Vijayaraman:1996:PTS", pages = "307--317", year = "1996", bibdate = "Fri Jan 12 07:50:35 MST 2001", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.vldb.org/dblp/db/conf/vldb/vldb96.html", URL = "http://www.vldb.org/dblp/db/conf/vldb/FaloutsosMS96.html", acknowledgement = ack-nhfb, annote = "Also known as VLDB '96", authorurl = "http://www.vldb.org/dblp/db/indices/a-tree/f/Faloutsos:Christos.html; http://www.vldb.org/dblp/db/indices/a-tree/m/Matias:Yossi.html; http://www.vldb.org/dblp/db/indices/a-tree/s/Silberschatz:Abraham.html", keywords = "very large data bases; VLDB", } @Article{Grant-Duff:1996:PH, author = "Z. N. Grant-Duff and P. G. Harrison", title = "Parallelism via homomorphisms", journal = j-PARALLEL-PROCESS-LETT, volume = "6", number = "2", pages = "279--295", month = jun, year = "1996", CODEN = "PPLTEE", ISSN = "0129-6264 (print), 1793-642X (electronic)", bibdate = "Mon Apr 14 09:48:53 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/parallelprocesslett.bib", acknowledgement = ack-nhfb, classification = "C4240P (Parallel programming and algorithm theory); C6110F (Formal methods); C6140D (High level languages)", corpsource = "Dept. of Comput., Imperial Coll. of Sci., Technol. and Med., London, UK", countrypub = "Singapore", keywords = "algorithms; decompression; first-come-first-served queue; formal specification; fractal-based algorithm; functional languages; high level functional language; homomorphisms; image; logarithmic parallel simulation; parallel; parallelism; server; single; specifications", treatment = "P Practical", } @Article{Hallee:1996:RBF, author = "Alan P. Hallee", title = "Review: {{\booktitle{The Fractal Geometry of the Mandelbrot Set}} by Robert L. Devaney}", journal = j-MATH-TEACH, volume = "89", number = "6", pages = "518--518", month = "????", year = "1996", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27969886", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @InProceedings{Hamzaoui:1996:EFI, author = "Raouf Hamzaoui and Martin M{\"u}ller and Dietmar Saupe", booktitle = "IEEE Digital Signal Processing Workshop", title = "Enhancing fractal image compression with Vector Quantization", publisher = pub-IEEE, address = pub-IEEE:adr, month = sep, year = "1996", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", note = "Preprint", URL = "ftp://ftp.informatik.uni-freiburg.de/papers/fractal/HaMuSa96b.ps.gz", } @InProceedings{Hamzaoui:1996:VEF, author = "Raouf Hamzaoui and Martin M{\"u}ller and Dietmar Saupe", booktitle = "Proceedings ICIP-96 (IEEE International Conference on Image Processing)", title = "{VQ}-enhanced fractal image compression", volume = "I", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "153--156", month = sep, year = "1996", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", URL = "ftp://ftp.informatik.uni-freiburg.de/papers/fractal/HaMuSa96a.ps.gz", } @Article{Jackson:1996:PAD, author = "David Jeff Jackson and Greg Scott Tinney", title = "Performance analysis of distributed implementations of a fractal image compression algorithm", journal = j-CPE, volume = "8", number = "5", pages = "357--386", month = jun, year = "1996", CODEN = "CPEXEI", ISSN = "1040-3108", bibdate = "Tue Sep 7 06:06:25 MDT 1999", bibsource = "http://www.interscience.wiley.com/jpages/1040-3108/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/cpe.bib; http://www3.interscience.wiley.com/journalfinder.html", URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=23284", acknowledgement = ack-nhfb, } @Article{Jackson:1996:PPF, author = "David Jeff Jackson and Wagdy Mahmoud", title = "Parallel pipelined fractal image compression using quadtree recomposition", journal = j-COMP-J, volume = "39", number = "1", pages = "1--13", month = "????", year = "1996", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Wed Jul 21 09:54:42 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compj1990.bib; http://www3.oup.co.uk/computer_journal/Volume_39/Issue_01/Vol39_01.index.html", URL = "http://www.oup.co.uk/jnls/list/comjnl/hdb/Volume_39/Issue_01/390001.sgm.abs.html; http://www3.oup.co.uk/computer_journal/Volume_39/Issue_01/Vol39_01.body.html#AbstractJackson", acknowledgement = ack-nhfb, classcodes = "B6140C (Optical information, image and video signal processing); B6120B (Codes); C5260B (Computer vision and image processing techniques); C6110P (Parallel programming); C6120 (File organisation)", corpsource = "Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA", email-1 = "jjackson@tiger.carl.ua.edu", keywords = "circular; circulating pipeline computation; compression ratios; data compression; fractal coding; fractals; image; image coding; iterative; linear processor array; nCUBE-2; parallel algorithms; parallel pipelined fractal image compression; parallel runtime performance; pipeline processing; quadtree; quadtree decomposition scheme; quadtree image sub-blocks; quadtrees; recombination; recomposition; reconstructed image fidelity; reconstruction; signal to noise ratios; software performance evaluation; supercomputer", treatment = "P Practical; X Experimental", } @Article{Jan:1996:SIE, author = "Jinn-Ke Jan and Yuh-Min Tseng", title = "On the security of image encryption method", journal = j-INFO-PROC-LETT, volume = "60", number = "5", pages = "261--265", day = "8", month = dec, year = "1996", CODEN = "IFPLAT", ISSN = "0020-0190 (print), 1872-6119 (electronic)", ISSN-L = "0020-0190", MRclass = "94A60 (68P25)", MRnumber = "97k:94033", bibdate = "Fri Oct 25 18:39:09 2002", bibsource = "http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/cryptography1990.bib; http://www.math.utah.edu/pub/tex/bib/infoproc1990.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "B6120B (Codes); B6140C (Optical information, image and video signal processing); C1250 (Pattern recognition); C1260 (Information theory); C6130S (Data security)", corpsource = "Inst. of Appl. Math., Nat. Chung-Hsing Univ., Taichung, Taiwan", fjournal = "Information Processing Letters", keywords = "2D gray scale images; 2D image transposition encryption; cipher-sequential data; cryptographic schemes; cryptography; fractals; image coding; image encryption method; image transposition; plain-image data; security; two dimensional gray scale images; unique key", treatment = "T Theoretical or Mathematical", } @Article{Kuroda:1996:FBM, author = "Hideo Kuroda and Dan C. Popescu and Hong Yan", title = "Fast block matching method for image data compression based on fractal models", journal = j-PROC-SPIE, volume = "2501", number = "??", pages = "1257--1266", month = "????", year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Lin:1996:PLF, author = "Huawu Lin and Anastasios N. Venetsanopoulos", title = "Perceptually lossless fractal image compression", journal = j-PROC-SPIE, volume = "2727", number = "??", pages = "1394--1399", month = "????", year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Loew:1996:APM, author = "Murray H. Loew and Dunling Li and Raymond L. Pickholtz", title = "Adaptive {PIFS} model in fractal image compression", journal = j-PROC-SPIE, volume = "2707", number = "??", pages = "284--293", month = "????", year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Lulek:1996:GIF, author = "T. Lulek and R. Olchawa", title = "Geometric interpretation of fractal symmetries of a finite linear chain", journal = j-J-MATH-PHYS, volume = "37", number = "5", pages = "2472--2483", month = may, year = "1996", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "82D25", MRnumber = "97f:82044", MRreviewer = "Philippe Audit", bibdate = "Fri Jan 2 07:23:17 MST 1998", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib", acknowledgement = ack-nhfb, } @Article{McGregor:1996:FFC, author = "D. R. McGregor and R. J. Fryer and P. Cockshott and P. Murray", title = "Faster Fractal Compression", journal = j-DDJ, volume = "21", number = "1", pages = "34, 36, 38--40", month = jan, year = "1996", CODEN = "DDJOEB", ISSN = "1044-789X", bibdate = "Thu Jan 9 09:35:43 MST 1997", bibsource = "Compendex database; http://www.ddj.com/index/author/index.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Strathclyde Univ.", affiliationaddress = "Glasgow, Scotl", classification = "721.1; 722.1; 722.4; 723.2; 921.3; C1130 (Integral transforms); C1180 (Optimisation techniques); C1250 (Pattern recognition); C4240C (Computational complexity); C5260B (Computer vision and image processing techniques); C6130 (Data handling techniques)", journalabr = "Dr Dobb's J Software Tools Prof Program", keywords = "Algorithms; Associative storage; Computational complexity; Compute cost; Data structures; Fast Fourier transforms; Fast fractal transform; Fractal compression; Fractal image compression; Fractals; High compression ratios; Image compression; Image reconstruction; Optimization techniques; Response time (COMPUTER systems)", pagecount = "5", thesaurus = "Computational complexity; Data compression; Fractals; Image reconstruction; Optimisation; Transforms", } @Article{Morcrette:1996:EDF, author = "Michelle Morcrette", title = "Sur l'{\'e}quivalence de descriptions de figures iter{\'e}es. ({French}) [{On} the equivalence of descriptions of iterative figures]", journal = j-THEOR-COMP-SCI, volume = "165", number = "2", pages = "325--354", day = "10", month = oct, year = "1996", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:20:16 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1996&volume=165&issue=2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs1995.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1996&volume=165&issue=2&aid=2167", acknowledgement = ack-nhfb, classification = "C4210 (Formal logic); C4220 (Automata theory)", corpsource = "Inst. Blaise Pascal, Paris VI Univ., France", fjournal = "Theoretical Computer Science", keywords = "endomorphism; finite automata; fractal sets; fractals; free semigroup; IFS; Kiesswetter curve; recurrent model; recurrent set method; recurrent sets; recursive functions; regular languages; von Koch curve", language = "French", pubcountry = "Netherlands", treatment = "T Theoretical or Mathematical", } @Article{Perline:1996:ZLC, author = "Richard Perline", title = "{Zipf}'s law, the {Central Limit Theorem}, and the random division of the unit interval", journal = j-PHYS-REV-E, volume = "54", number = "1", pages = "220--223", day = "1", month = jul, year = "1996", CODEN = "PLEEE8", DOI = "http://dx.doi.org/10.1103/PhysRevE.54.220", ISSN = "1539-3755 (print), 1550-2376 (electronic)", ISSN-L = "1539-3755", bibdate = "Tue Feb 26 06:40:57 MST 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://link.aps.org/doi/10.1103/PhysRevE.54.220", acknowledgement = ack-nhfb, fjournal = "Physical Review E (Statistical physics, plasmas, fluids, and related interdisciplinary topics)", keywords = "Mandelbrot's monkey-at-the-typewriter model of Zipf's inverse power law; Zipf's Law", } @Article{Pumar:1996:ZTI, author = "M. A. Pumar", title = "Zooming of terrain imagery using fractal-based interpolation", journal = j-COMPUTERS-AND-GRAPHICS, volume = "20", number = "1", pages = "171--176", month = jan # "--" # feb, year = "1996", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:17:33 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1996&volume=20&issue=1; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1996&volume=20&issue=1&aid=9500102", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Radai:1996:CAM, author = "Yisrael Radai", title = "Computer art from the {Mandelbrot} set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "20", number = "6", pages = "925--926", month = nov # "--" # dec, year = "1996", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:17:55 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1996&volume=20&issue=6; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1996&volume=20&issue=6&aid=9600062", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Redmill:1996:GAF, author = "David W. Redmill and David R. Bull and Ralph R. Martin", title = "Genetic algorithms for fast search in fractal image coding", journal = j-PROC-SPIE, volume = "2727", number = "??", pages = "1367--1376", month = "????", year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @InProceedings{Saupe:1996:EFI, author = "Dietmar Saupe and Matthias Ruhl", booktitle = "Proceedings ICIP-96 (IEEE International Conference on Image Processing)", title = "Evolutionary fractal image compression", volume = "I", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "129--132", month = sep, year = "1996", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @InProceedings{Saupe:1996:FSI, author = "Dietmar Saupe", booktitle = "Proceedings ICIP-96 (IEEE International Conference on Image Processing)", title = "The futility of square isometries in fractal image compression", volume = "I", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "161--164", month = sep, year = "1996", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @InProceedings{Saupe:1996:LAF, author = "Dietmar Saupe and Hannes Hartenstein", booktitle = "Proceedings ICIP-96 (IEEE International Conference on Image Processing)", title = "Lossless acceleration of fractal image compression by fast convolution", volume = "I", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "185--188", month = sep, year = "1996", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Saupe:1996:LDP, author = "Dietmar Saupe", title = "Lean domain pools for fractal image compression", journal = j-PROC-SPIE, volume = "2669", number = "??", pages = "150--157", month = jan, year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Signes:1996:RCS, author = "Julien Signes", title = "Reducing the codebook size in fractal image compression by geometrical analysis", journal = j-PROC-SPIE, volume = "2727", number = "??", pages = "1400--1409", month = "????", year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Staiger:1996:CSW, author = "Ludwig Staiger", title = "Codes, simplifying words, and open set condition", journal = j-INFO-PROC-LETT, volume = "58", number = "6", pages = "297--301", day = "24", month = jun, year = "1996", CODEN = "IFPLAT", ISSN = "0020-0190 (print), 1872-6119 (electronic)", ISSN-L = "0020-0190", MRclass = "68Q45 (20M05 94B35)", MRnumber = "97f:68101", MRreviewer = "Dong Yang Long", bibdate = "Wed Nov 11 12:16:26 MST 1998", bibsource = "http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/cryptography1990.bib; http://www.math.utah.edu/pub/tex/bib/infoproc1990.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B6120B (Codes); C1160 (Combinatorial mathematics); C4210L (Formal languages and computational linguistics)", corpsource = "Inst. f{\"u}r Inf., Martin-Luther-Univ., Halle-Wittenberg, Germany", keywords = "Canter space; code messages; codes; deciphering delay; finite alphabet; formal language theory; formal languages; fractals; geometry; infinite strings; iterated function systems; open set condition; simplifying words", treatment = "T Theoretical or Mathematical", } @Article{Titkov:1996:SBF, author = "Bronislav Titkov and Anatoli Tikhotskij and Alexandr Myboroda and Helmut Buley", title = "Structure-based fractal image coding", journal = j-PROC-SPIE, volume = "2952", number = "??", pages = "652--663", month = "????", year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @InProceedings{Uhl:1996:PIC, author = "A. Uhl and J. Hammerle", title = "Parallel image compression on a workstation cluster using {PVM}", crossref = "Bode:1996:PVM", pages = "301--??", year = "1996", bibdate = "Wed Apr 16 06:39:19 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, classification = "B6120B (Codes); B6140C (Optical information, image and video signal processing); C1250 (Pattern recognition); C4240P (Parallel programming and algorithm theory); C5440 (Multiprocessing systems)", corpsource = "Dept. of Comput. Sci. and Syst. Anal., Salzburg Univ., Austria", keywords = "data compression; FDDI; fractal image compression; image coding; interconnected workstation-cluster; parallel algorithms; parallel image compression; parallel machines; parallel meta-algorithm; PVM; virtual machines; workstation cluster", pubcountry = "Germany", treatment = "A Application; P Practical", } @Article{Walter:1996:OFC, author = "Malcolm Walter", title = "Old fossils could be fractal frauds", journal = j-NATURE, volume = "383", number = "6599", pages = "385--386", day = "3", month = oct, year = "1996", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/383385a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v383/n6599/pdf/383385a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Wang:1996:PIF, author = "Zhou Wang and Ying-Lin Yu", title = "Partial iterated function system-based fractal image coding", journal = j-PROC-SPIE, volume = "2751", number = "??", pages = "42--49", month = "????", year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Zair:1996:FMU, author = "Chems Eddine Zair and Eric Tosan", title = "Fractal Modeling using Free Form Techniques", journal = j-CGF, volume = "15", number = "3", pages = "C269--C278", month = sep, year = "1996", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", bibdate = "Tue Mar 17 15:44:38 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, affiliation = "LIGIM", affiliationaddress = "Villeurbanne, Fr", classification = "723.5; 921; 921.1; 921.4; 921.6; C4130 (Interpolation and function approximation); C4260 (Computational geometry); C6130B (Graphics techniques)", conference = "Proceedings of the 1996 17th Annual Conference and Exhibition of the European Association for Computer Graphics, EUROGRAPHICS'96", conflocation = "Poitiers, France; 26-30 Aug. 1996", conftitle = "European Association for Computer Graphics 17th Annual Conference and Exhibition. EUROGRAPHICS '96", corpsource = "LIGIM, Villeurbanne, France", journalabr = "Comput Graphics Forum", keywords = "Attractors; attractors; Attractors; attractors; Bezier curve; B{\'e}zier curve; complex self-similar figure generation; Computational geometry; computational geometry; Computational geometry; Computer graphics; computer graphics; Computer graphics; computer graphics; control points; controlled fractal attractors; deformation; fractal; Fractal modeling; fractal modeling; Fractal modeling; fractal modeling; Fractal shape; fractal shape; Fractals; fractals; Fractals; Free form techniques; free form techniques; Free form techniques; free form techniques; Functions; global attractor; IFS models; Iterated function system; Iterative methods; iterative methods; Iterative methods; iterative methods; Mathematical models; Matrix algebra; parametric forms; set construction; smooth man-made objects; Subdivision matrix", meetingaddress = "Poitiers, Fr", meetingdate = "Aug 26--30 1996", meetingdate2 = "08/26--30/96", sponsor = "CNRS; ERCIM; BARCO; EDF; SUN; et al", sponsororg = "CNRS; BARCO; Electr. France; et al", treatment = "T Theoretical or Mathematical", } @Article{Zhang:1996:HFI, author = "Zhengbing Zhang and Yaoting Zhu and Guangxi Zhu and Hanqiang Cao and Donghui Xue", title = "Hybrid fractal image coding method", journal = j-PROC-SPIE, volume = "2727", number = "??", pages = "1360--1366", month = "????", year = "1996", CODEN = "????", ISSN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", } @Article{Alfonseca:1997:SRF, author = "M. Alfonseca and A. Ortega", title = "A study of the representation of fractal curves by {$L$} systems and their equivalences", journal = j-IBM-JRD, volume = "41", number = "6", pages = "727--736", month = nov, year = "1997", CODEN = "IBMJAE", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Mon Feb 12 08:11:06 2001", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib; http://www.research.ibm.com/journal/", URL = "http://www.almaden.ibm.com/journal/rd/416/alfonseca.html", acknowledgement = ack-nhfb, } @Article{Allouche:1997:ADS, author = "J.-P. Allouche and F. von Haeseler and H.-O. Peitgen and A. Petersen and G. Skordev", title = "Automaticity of double sequences generated by one-dimensional linear cellular automata", journal = j-THEOR-COMP-SCI, volume = "188", number = "1--2", pages = "195--209", day = "30", month = nov, year = "1997", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:21:22 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=188&issue=1-2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs1995.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=188&issue=1-2&aid=2498", acknowledgement = ack-nhfb, classification = "C4220 (Automata theory)", corpsource = "LRI, CNRS, Orsay, France", fjournal = "Theoretical Computer Science", keywords = "$k$-automatic; cellular automata; double sequences automaticity; one-dimensional linear cellular automata", pubcountry = "Netherlands", treatment = "T Theoretical or Mathematical", } @Article{Baines:1997:FDF, author = "Peter G. Baines", title = "Fluid dynamics: a fractal world of cloistered waves", journal = j-NATURE, volume = "388", number = "6642", pages = "518--519", day = "7", month = aug, year = "1997", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/41429", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v388/n6642/full/388518a0.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Chen:1997:DIF, author = "Yan Qiu Chen and Guoan Bi", title = "{$3$-D IFS} fractals as real-time graphics model", journal = j-COMPUTERS-AND-GRAPHICS, volume = "21", number = "3", pages = "367--370", month = may # "--" # jun, year = "1997", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:18:08 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1997&volume=21&issue=3; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1997&volume=21&issue=3&aid=9700014", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Esposito:1997:IIS, author = "Dino Esposito", title = "Inside {Iterated Systems' Fractal Development Kit} --- The {Fractal Development Kit} from {Iterated Systems} is a library that makes it possible for you to embed fractal-imaging capabilities into {C\slash C++} {Windows} and {Macintosh} applications", journal = j-DDJ, volume = "22", number = "1", pages = "74--??", month = jan, year = "1997", CODEN = "DDJOEB", ISSN = "1044-789X", bibdate = "Fri Jan 3 06:17:24 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Fleury:1997:BFP, author = "Vincent Fleury", title = "Branched fractal patterns in non-equilibrium electrochemical deposition from oscillatory nucleation and growth", journal = j-NATURE, volume = "390", number = "6656", pages = "145--148", day = "13", month = nov, year = "1997", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/36522", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v390/n6656/full/390145a0.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Fromhold:1997:FRT, author = "Mark Fromhold", title = "Fractal resistance in a transistor", journal = j-NATURE, volume = "386", number = "6621", pages = "123--125", day = "13", month = mar, year = "1997", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/386123a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v386/n6621/pdf/386123a0.pdf", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Jackson:1997:SYE, author = "David J. Jackson and Chris W. Humphres", title = "A simple yet effective load balancing extension to the {PVM} software system", journal = j-PARALLEL-COMPUTING, volume = "22", number = "12", pages = "1647--1660", day = "21", month = feb, year = "1997", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", bibdate = "Fri Aug 6 10:14:46 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1997&volume=22&issue=12; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1997&volume=22&issue=12&aid=1112", acknowledgement = ack-nhfb, affiliation = "Univ of Alabama", affiliationaddress = "AL, USA", classification = "722.1; 722.2; 722.4; 723; 723.1; 723.2; C4140 (Linear algebra); C5260B (Computer vision and image processing techniques); C6110P (Parallel programming); C6150E (General utility programs); C6150N (Distributed systems software)", corpsource = "Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA", fjournal = "Parallel Computing", journalabr = "Parallel Comput", keywords = "algorithms; application program interfaces; coding; Computer programming; Computer software; data compression; Data storage equipment; Distributed computer systems; host CPU load information; image; Image compression; information gathering; load; load balancing; load balancing extension; Load balancing process; master process; matrix algebra; matrix oriented; NAS parallel benchmarks; parallel; parallel algorithms; Parallel algorithms; parallel algorithms; parallel fractal image compression algorithm; Parallel processing systems; parallel runtime performance; Parallel virtual machine; process spawn; processes; programming; programming interface; PVM software system; resource allocation; Response time (computer systems); slave; User interfaces", pubcountry = "Netherlands", treatment = "P Practical", } @Article{Jaffard:1997:MFFa, author = "S. Jaffard", title = "Multifractal Formalism for Functions. Part {I}: Results Valid for All Functions", journal = j-SIAM-J-MATH-ANA, volume = "28", number = "4", pages = "944--970", month = jul, year = "1997", CODEN = "SJMAAH", DOI = "http://dx.doi.org/10.1137/S0036141095282991", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "28A80 (28A78 42C15 76F99)", MRnumber = "1 453 315", bibdate = "Sun Nov 28 19:26:42 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/28/4; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/28299", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", } @Article{Jaffard:1997:MFFb, author = "S. Jaffard", title = "Multifractal Formalism for Functions. Part {II}: Self-Similar Functions", journal = j-SIAM-J-MATH-ANA, volume = "28", number = "4", pages = "971--998", month = jul, year = "1997", CODEN = "SJMAAH", DOI = "http://dx.doi.org/10.1137/S0036141095283005", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "28A80 (28A78 42C15 76F99)", MRnumber = "1 453 316", bibdate = "Sun Nov 28 19:26:42 MST 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/28/4; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/28300", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", } @Article{Landini:1997:PBF, author = "G. Landini", title = "Is periodontal breakdown a fractal process? {Simulations} using the {Weierstrass--Mandelbrot} function", journal = "Journal of Periodontal Research", volume = "32", number = "3", pages = "300--307", month = apr, year = "1997", CODEN = "????", DOI = "http://dx.doi.org/10.1111/j.1600-0765.1997.tb00538.x", ISSN = "????", bibdate = "Mon Sep 10 05:53:27 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, onlinedate = "30 Jun 2006", } @Article{Lee:1997:HRF, author = "Shyi-Long Lee and Chung-Kung Lee", title = "Heterogeneous Reactions Over Fractal Surfaces: a Multifractal Scaling Analysis", journal = j-IJQC, volume = "64", number = "3", pages = "337--350", month = "????", year = "1997", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/(SICI)1097-461X(1997)64:3<337::AID-QUA6>3.0.CO;2-X", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Tue Oct 4 06:59:10 MDT 2011", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; http://www.math.utah.edu/pub/tex/bib/ijqc1990.bib; http://www3.interscience.wiley.com/journalfinder.html; http://www3.interscience.wiley.comjournalfinder.html", note = "Special Issue: {\em Second Triennial Congress of the International Society for Theoretical Chemical Physics}. Issue Edited by Se{\'a}n P. McGlynn, Kresimir Rupnik, Janos Ladik.", URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=42691; http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=42691&PLACEBO=IE.pdf", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journalabr = "Int J Quant Chem", onlinedate = "6 Dec 1998", } @InProceedings{Lee:1997:SSA, author = "Choong Ho Lee and M. Kawamata and T. Higuchi", booktitle = "Proceedings of 1997 IEEE International Symposium on Circuits and Systems: ISCAS '97, 9--12 June 1997", title = "State-space approach to roundoff error analysis of fractal image coding", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1341--1344", year = "1997", CODEN = "????", ISSN = "????", bibdate = "Sat Jul 16 11:25:07 MDT 2005", bibsource = "http://ieeexplore.ieee.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, summary = "Roundoff error due to iterative computation with finite wordlength degrades the quality of decoded images in fractal image coding that employs a deterministic iterated function system. This paper presents a state-space approach to roundoff error \ldots{}", } @Article{Prodinger:1997:PYM, author = "Helmut Prodinger", title = "On a problem of {Yekutieli} and {Mandelbrot} about the bifurcation ratio of binary trees", journal = j-THEOR-COMP-SCI, volume = "181", number = "1", pages = "181--194", day = "15", month = jul, year = "1997", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:21:01 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=181&issue=1; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs1995.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=181&issue=1&aid=2471", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", conflocation = "Valparaiso, Chile; 3-7 April 1995", conftitle = "Second International Symposium on Latin American Theoretical Informatics", corpsource = "Inst. f{\"u}r Algebra und Diskrete Math., Tech. Univ. Wien, Austria", fjournal = "Theoretical Computer Science", keywords = "analytic expression; bifurcation ratio; binary trees; Horton--Strahler number; mathematics computing; numerical constant; register function; subtrees; trees (mathematics)", pubcountry = "Netherlands", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Sirvent:1997:SDS, author = "V{\'\i}ctor F. Sirvent", title = "On some dynamical subsets of the {Rauzy} fractal", journal = j-THEOR-COMP-SCI, volume = "180", number = "1--2", pages = "363--370", day = "10", month = jun, year = "1997", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:20:59 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=180&issue=1-2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs1995.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=180&issue=1-2&aid=2533", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4210L (Formal languages and computational linguistics); C4260 (Computational geometry)", corpsource = "Departamento de Matematicas, Simon Bolivar Univ., Caracas, Venezuela", fjournal = "Theoretical Computer Science", keywords = "adic system; Billingsley dimension; computational geometry; dynamical subsets; dynamical system; formal languages; fractals; geometrical realizations; Hausdorff dimension; Rauzy fractal; substitution; torus", pubcountry = "Netherlands", treatment = "T Theoretical or Mathematical", } @Article{Smithe:1997:ESA, author = "David Smithe and Larry Ludeking", title = "An eigenmode solution algorithm based on high-order power iteration with fractally ordered shifts", journal = j-COMP-PHYS-COMM, volume = "106", number = "1--2", pages = "95--104", day = "2", month = oct, year = "1997", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/S0010-4655(97)00081-7", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:30:20 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S0010465597000817", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Tiihonen:1997:CBR, author = "J. Tiihonen and J. Kuikka and P. R{\"a}s{\"a}nen and U. Lepola and H. Koponen and A. Liuska and A. Lehmusvaara and P. Vainio and M. K{\"o}n{\"o}nen and K. Bergstr{\"o}m and M. Yu and I. Kinnunen and K. {\AA}kerman and J. Karhu and others", title = "Cerebral benzodiazepine receptor binding and distribution in generalized anxiety disorder: a fractal analysis", journal = "Molecular Psychiatry", volume = "2", number = "6", pages = "463--471", day = "23", month = oct, year = "1997", CODEN = "????", DOI = "http://dx.doi.org/10.1038/sj.mp.4000329", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/mp/journal/v2/n6/pdf/4000329a.pdf", acknowledgement = ack-nhfb, } @Article{Williams:1997:BFG, author = "Nigel Williams", title = "Biology: Fractal Geometry Gets the Measure of Life's Scales", journal = j-SCIENCE, volume = "276", number = "5309", pages = "34--34", day = "4", month = apr, year = "1997", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.276.5309.34", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/276/5309/34.full", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Anonymous:1998:NPF, author = "Anonymous", title = "Net Pics: Fractal Fever", journal = j-SCIENCE, volume = "280", number = "5363", pages = "491--491", day = "24", month = apr, year = "1998", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.280.5363.491c", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/280/5363/491.3.full", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Avnir:1998:GNF, author = "David Avnir and Ofer Biham and Daniel Lidar and Ofer Malcai", title = "Is the Geometry of Nature Fractal?", journal = j-SCIENCE, volume = "279", number = "5347", pages = "39--40", day = "2", month = jan, year = "1998", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.279.5347.39", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/279/5347/39.full", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Chen:1998:BSC, author = "Ning Chen and Weiyong Zhu", title = "Bud-sequence conjecture on {$M$} fractal image and {$M$-$J$} conjecture between {$C$} and {$Z$} planes from $z \longleftarrow zw+c \qquad (w = a + ib)$", journal = j-COMPUTERS-AND-GRAPHICS, volume = "22", number = "4", pages = "537--546", day = "1", month = aug, year = "1998", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:18:35 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1998&volume=22&issue=4; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cas/tree/store/cag/sub/1998/22/4/585.pdf", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Conci:1998:FIA, author = "Aura Conci and Claudia Belmiro Proen{\c{c}}a", title = "A fractal image analysis system for fabric inspection based on a box-counting method", journal = j-COMP-NET-ISDN, volume = "30", number = "20--21", pages = "1887--1895", day = "12", month = nov, year = "1998", CODEN = "CNISE9", ISSN = "0169-7552 (print), 1879-2324 (electronic)", ISSN-L = "0169-7552", bibdate = "Fri Sep 24 20:22:27 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cna/cas_free/browse/browse.cgi?year=1998&volume=30&issue=20-21; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.elsevier.com/cas/tree/store/comnet/sub/1998/30/20-21/2019.pdf", acknowledgement = ack-nhfb, } @Article{Fernandez-Ranada:1998:RFC, author = "Antonio Fern{\'a}ndez-Ra{\~n}ada", title = "Review: Las formas de las cosas: {{\booktitle{La geometr{\'\i}a fractal de la naturaleza}} by Beno{\^\i}t Mandelbrot}", journal = "Revista de libros", volume = "??", number = "24", pages = "21", month = dec, year = "1998", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/30228845", acknowledgement = ack-nhfb, } @Article{Frantz:1998:TFW, author = "Marc Frantz", title = "Two functions whose powers make fractals", journal = j-AMER-MATH-MONTHLY, volume = "105", number = "7", pages = "609--617", month = aug # "\slash " # sep, year = "1998", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "28A80 (26A27 28A78); 28A80 (26-XX 58F13)", MRnumber = "99g:28018; 1 633 069", MRreviewer = "S. Dubuc", bibdate = "Tue Jun 22 10:29:34 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib", acknowledgement = ack-nhfb, } @Article{GonzalezRodriguez:1998:TRM, author = "Jose Angel {Gonzalez Rodriguez}", title = "A tutorial and recipe for moving fractal trees", journal = j-COMPUTERS-AND-GRAPHICS, volume = "22", number = "2--3", pages = "301--305", day = "6", month = mar, year = "1998", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:18:30 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1998&volume=22&issue=2-3; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cas/tree/store/cag/sub/1998/22/2-3/548.pdf", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Guerin:1998:TDS, author = "Charles-Antoine Guerin and Matthias Holschneider", title = "Time-dependent scattering on fractal measures", journal = j-J-MATH-PHYS, volume = "39", number = "8", pages = "4165--4194", month = aug, year = "1998", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Fri Oct 20 08:18:04 MDT 2000", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib", acknowledgement = ack-nhfb, } @Article{Hughes:1998:GJR, author = "Merlin Hughes", title = "{3D} Graphic {Java}: {Render} fractal landscapes", journal = j-JAVAWORLD, volume = "3", number = "8", pages = "??--??", month = aug, year = "1998", CODEN = "????", ISSN = "1091-8906", bibdate = "Thu Sep 10 14:37:30 MDT 1998", bibsource = "http://www.javaworld.com/javaworld/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.javaworld.com/javaworld/jw-08-1998/jw-08-step.htm", acknowledgement = ack-nhfb, } @Article{Jaffard:1998:OSP, author = "St{\'e}phane Jaffard", title = "Oscillation spaces: {Properties} and applications to fractal and multifractal functions", journal = j-J-MATH-PHYS, volume = "39", number = "8", pages = "4129--4141", month = aug, year = "1998", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Fri Oct 20 08:18:04 MDT 2000", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib", acknowledgement = ack-nhfb, } @InProceedings{Laxer:1998:ICF, author = "Cary Laxer and Aaron Klebanoff", title = "An interactive course on fractals and chaos", crossref = "Grisson:1998:CAA", pages = "44--45", year = "1998", bibdate = "Mon Oct 4 19:01:12 MDT 1999", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/280953/p44-laxer/", acknowledgement = ack-nhfb, keywords = "design; human factors; management; performance; theory", subject = "{\bf J.2} Computer Applications, PHYSICAL SCIENCES AND ENGINEERING, Physics. {\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Fractals. {\bf G.1.7} Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Chaotic systems. {\bf I.3.6} Computing Methodologies, COMPUTER GRAPHICS, Methodology and Techniques, Interaction techniques. {\bf K.3.1} Computing Milieux, COMPUTERS AND EDUCATION, Computer Uses in Education.", } @Article{Majewski:1998:TRV, author = "Mirek Majewski", title = "A tutorial on the realistic visualization of {$3$D Sierpi{\'n}ski} fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "22", number = "1", pages = "129--142", day = "25", month = feb, year = "1998", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Oct 5 21:18:26 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1998&volume=22&issue=1; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/cas/tree/store/cag/sub/1998/22/1/519.pdf", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Shishikura:1998:HDB, author = "Mitsuhiro Shishikura", title = "The {Hausdorff} Dimension of the Boundary of the {Mandelbrot} Set and {Julia} Sets", journal = j-ANN-MATH, volume = "147", number = "2", pages = "225--267", month = mar, year = "1998", CODEN = "ANMAAH", ISSN = "0003-486X (print), 1939-8980 (electronic)", ISSN-L = "0003-486X", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/121009", acknowledgement = ack-nhfb, fjournal = "Annals of Mathematics", } @Article{Taubes:1998:FRN, author = "Gary Taubes", title = "Fractals Reemerge in the New Math of the {Internet}", journal = j-SCIENCE, volume = "281", number = "5385", pages = "1947--1948", day = "25", month = sep, year = "1998", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.281.5385.1947", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/281/5385/1947.full", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Verklan:1998:QNH, author = "M. Terese Verklan and David R. Bickel and Jon Moon", title = "Quantification of Neonatal Heart Rate Variability From 26--35 Weeks Post-Conceptional Age Using the Fractal Dimension as Estimated by Dispersional Analysis 1172", journal = "Pediatric Research", volume = "43", number = "4s", pages = "201--201", month = apr, year = "1998", CODEN = "????", DOI = "http://dx.doi.org/10.1203/00006450-199804001-01193", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/pr/journal/v43/n4s/full/pr19981320a.html", acknowledgement = ack-nhfb, } @Article{Barlow:1999:BMH, author = "Martin T. Barlow and Richard F. Bass", title = "{Brownian} Motion and Harmonic Analysis on {Sierpinski} Carpets", journal = j-CAN-J-MATH, volume = "51", number = "4", pages = "673--744", month = aug, year = "1999", CODEN = "CJMAAB", DOI = "http://dx.doi.org/10.4153/CJM-1999-031-4", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "60J60; 60B05, 60J35", bibdate = "Sat Sep 10 15:39:08 MDT 2011", bibsource = "http://cms.math.ca/cjm/v51/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/canjmath.bib; http://www.math.utah.edu/pub/tex/bib/canjmath1990.bib", abstract = "We consider a class of fractal subsets of $\R^d$ formed in a manner analogous to the construction of the Sierpinski carpet. We prove a uniform Harnack inequality for positive harmonic functions; study the heat equation, and obtain upper and lower bounds on the heat kernel which are, up to constants, the best possible; construct a locally isotropic diffusion $X$ and determine its basic properties; and extend some classical Sobolev and Poincar{\'e} inequalities to this setting.", acknowledgement = ack-nhfb, ams-subject-primary = "60J60", ams-subject-secondary = "60B05, 60J35", fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journalabbrev = "CJM", keywords = "Brownian motion; coupling; fractal; fundamental solutions; harmonic functions; Harnack inequality; Hausdorff dimension; heat equation; potentials; reflecting Brownian motion; Sierpinski carpet; spectral dimension; transition densities", refnum = "0966", } @Article{Carlson:1999:TAO, author = "Paul W. Carlson", title = "Two artistic orbit trap rendering methods for {Newton} {$M$}-set fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "23", number = "6", pages = "925--931", month = dec, year = "1999", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Sat Oct 21 14:27:23 MDT 2000", bibsource = "http://www.elsevier.com/locate/issn/00978493; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.nl/gej-ng/10/13/20/24/34/47/abstract.html; http://www.elsevier.nl/gej-ng/10/13/20/24/35/47/article.pdf", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Cartwright:1999:NMF, author = "Julyan H. E. Cartwright", title = "{Newton} maps: fractals from {Newton}'s method for the circle map", journal = j-COMPUTERS-AND-GRAPHICS, volume = "23", number = "4", pages = "607--612", month = aug, year = "1999", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Sat Oct 21 14:27:18 MDT 2000", bibsource = "http://www.elsevier.com/locate/issn/00978493; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.nl/gej-ng/10/13/20/24/34/40/abstract.html; http://www.elsevier.nl/gej-ng/10/13/20/24/34/40/article.pdf", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{daSilva:1999:SEM, author = "Luciano R. da Silva and Ra{\'u}l O. Vallejos and Constantino Tsallis and Renio S. Mendes", title = "Spectrum energy multifractality and equilibrium thermodynamics", journal = j-COMP-PHYS-COMM, volume = "121--122", number = "??", pages = "737--737", month = sep # "\slash " # oct, year = "1999", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/S0010-4655(06)70140-0", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Tue Feb 14 08:45:16 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S0010465506701400", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{DePetrillo:1999:MDH, author = "P. B. DePetrillo and U. Ruttimann", title = "Method for determining the {Hurst} exponent of a fractal time series and its applications to {EKG} signal analysis.", journal = "Clinical Pharmacology \& Therapeutics", volume = "65", number = "2", pages = "158--158", month = feb, year = "1999", CODEN = "????", DOI = "http://dx.doi.org/10.1016/S0009-9236(99)80163-5", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/clpt/journal/v65/n2/pdf/clpt1999171a.pdf", acknowledgement = ack-nhfb, } @Article{Devaney:1999:MSF, author = "Robert L. Devaney", title = "The {Mandelbrot} set, the {Farey} tree, and the {Fibonacci} sequence", journal = j-AMER-MATH-MONTHLY, volume = "106", number = "4", pages = "289--302", month = apr, year = "1999", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "58Fxx (28A80)", MRnumber = "1 682 393", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib; http://www.math.utah.edu/pub/tex/bib/fibquart.bib", URL = "http://www.jstor.org/stable/2589552", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", } @Article{Drakopoulos:1999:GCS, author = "V. Drakopoulos and N. Argyropoulos and A. B{\"o}hm", title = "Generalized Computation of {Schr{\"o}der} Iteration Functions To Motivate Families of {Julia} and {Mandelbrot}-Like Sets", journal = j-SIAM-J-NUMER-ANAL, volume = "36", number = "2", pages = "417--435", month = apr, year = "1999", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/36/2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/31736; http://www.jstor.org/stable/2587202", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @Article{Duarte:1999:NAD, author = "L. G. S. Duarte and L. A. C. P. da Mota and H. P. de Oliveira and R. O. Ramos and J. E. F. Skea", title = "Numerical analysis of dynamical systems and the fractal dimension of boundaries", journal = j-COMP-PHYS-COMM, volume = "119", number = "2--3", pages = "256--271", day = "2", month = jun, year = "1999", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/S0010-4655(99)00204-0", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:30:38 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S0010465599002040", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Egghe:1999:LZM, author = "L. Egghe", title = "On the law of {Zipf--Mandelbrot} for multi-word phrases", journal = "Journal of the American Society for Information Science", volume = "50", number = "3", pages = "233--241", month = "????", year = "1999", CODEN = "????", DOI = "http://dx.doi.org/10.1002/(SICI)1097-4571(1999)50:3<233::AID-ASI6>3.0.CO;2-8", ISSN = "????", bibdate = "Mon Sep 10 06:09:31 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, onlinedate = "17 Feb 1999", } @Article{Fernandez-Barbero:1999:EPS, author = "A. Fern{\'a}ndez-Barbero and B. Vincent and F. J. de las Nieves", title = "Effect of the particle sign of charge on mesoscopic cluster fractal structures", journal = j-COMP-PHYS-COMM, volume = "121--122", number = "??", pages = "635--635", month = sep # "\slash " # oct, year = "1999", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/S0010-4655(06)70040-6", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Tue Feb 14 08:45:14 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S0010465506700406", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Foroutan-pour:1999:AIB, author = "K. Foroutan-pour and P. Dutilleul and D. L. Smith", title = "Advances in the implementation of the box-counting method of fractal dimension estimation", journal = j-APPL-MATH-COMP, volume = "105", number = "2--3", pages = "195--210", day = "12", month = nov, year = "1999", CODEN = "AMHCBQ", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Fri Oct 22 17:50:02 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/amc/cas_free/browse/browse.cgi?year=1999&volume=105&issue=2-3; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib", URL = "http://www.elsevier.com/cas/tree/store/amc/sub/1999/105/2-3/6317.pdf; http://www.elsevier.com/cgi-bin/cas/tree/store/amc/cas_sub/browse/browse.cgi?year=1999&volume=105&issue=2-3&aid=6317", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Karman:1999:LOF, author = "G. P. Karman and G. S. McDonald and G. H. C. New and J. P. Woerdman", title = "Laser optics: Fractal modes in unstable resonators", journal = j-NATURE, volume = "402", number = "6758", pages = "138--138", day = "11", month = nov, year = "1999", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/45960", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v402/n6758/full/402138a0.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Martinez:1999:UF, author = "Vicent J. Mart{\'\i}nez", title = "Is the Universe Fractal?", journal = j-SCIENCE, volume = "284", number = "5413", pages = "445--446", day = "16", month = apr, year = "1999", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.284.5413.445", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/284/5413/445.full", acknowledgement = ack-nhfb, fjournal = "Science", } @Book{Peitgen:1999:FCS, author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar Saupe", title = "Fractals for the classroom: strategic activities", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 107", year = "1999", ISBN = "0-387-98420-8 (vol. 3)", ISBN-13 = "978-0-387-98420-9 (vol. 3)", LCCN = "QA614.86 .F724 1999", bibdate = "Mon Sep 10 13:39:50 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0815/2003535060-d.html; http://www.loc.gov/catdir/enhancements/fy0815/2003535060-t.html", acknowledgement = ack-nhfb, subject = "fractals; problems, exercises, etc", } @Article{Sato:1999:NCS, author = "Yuzuru Sato and Makoto Taiji and Takashi Ikegami", title = "{NP}-completeness of $k$ {SAT} and multifractals", journal = j-COMP-PHYS-COMM, volume = "121--122", number = "??", pages = "51--53", month = sep # "\slash " # oct, year = "1999", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/S0010-4655(99)00278-7", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Tue Feb 14 08:45:17 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S0010465599002787", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Skarbek:1999:PCD, author = "W. Skarbek", title = "Perceptual convergence of discrete clamped fractal operator", journal = j-LECT-NOTES-COMP-SCI, volume = "1609", number = "??", pages = "395--??", month = "????", year = "1999", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Mon Sep 13 16:57:02 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Taylor:1999:FAP, author = "Richard P. Taylor and Adam P. Micolich and David Jonas", title = "Fractal analysis of {Pollock}'s drip paintings", journal = j-NATURE, volume = "399", number = "6735", pages = "422--422", day = "3", month = jun, year = "1999", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/20833", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v399/n6735/full/399422a0.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{West:1999:FDL, author = "Geoffrey B. West and James H. Brown and Brian J. Enquist", title = "The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms", journal = j-SCIENCE, volume = "284", number = "5420", pages = "1677--1679", day = "4", month = jun, year = "1999", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.284.5420.1677", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/284/5420/1677.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @InProceedings{Wu:1999:MCC, author = "P.-Y. Wu", title = "Minimum communication cost fractal image compression on {PVM}", crossref = "Dongarra:1999:RAP", number = "1697", pages = "434--441", year = "1999", bibdate = "Thu Dec 9 06:08:35 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, } @Article{Bak:2000:BRB, author = "Per Bak", title = "Book Review: {{\booktitle{Multifractals and $1 / f$ noise}}, by Beno{\^\i}t B. Mandelbrot}", journal = "Complexity", volume = "5", number = "3", pages = "46--47", month = jan # "\slash " # feb, year = "2000", CODEN = "????", DOI = "http://dx.doi.org/10.1002/(SICI)1099-0526(200001/02)5:3<46::AID-CPLX8>3.0.CO;2-0", ISSN = "????", bibdate = "Mon Sep 10 05:57:03 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, onlinedate = "29 Mar 2000", } @Article{Camp:2000:BME, author = "Dane R. Camp", title = "{Beno{\^\i}t Mandelbrot}: The {Euclid} of Fractal Geometry", journal = j-MATH-TEACH, volume = "93", number = "8", pages = "708--712", month = nov, year = "2000", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27971555", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @Article{Chung:2000:GMS, author = "K. W. Chung and H. S. Y. Chan and N. Chen", title = "General {Mandelbrot} sets and {Julia} sets with color symmetry from equivariant mappings of the modular group", journal = j-COMPUTERS-AND-GRAPHICS, volume = "24", number = "6", pages = "911--918", month = dec, year = "2000", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Jul 17 08:15:18 MDT 2001", bibsource = "http://www.elsevier.com/locate/issn/00978493; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.nl/gej-ng/10/13/20/47/34/34/abstract.html; http://www.elsevier.nl/gej-ng/10/13/20/47/34/34/article.pdf", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Edgar:2000:FFP, author = "G. A. Edgar", title = "The forest fractal puzzle", journal = j-COMPUTERS-AND-GRAPHICS, volume = "24", number = "1", pages = "133--141", month = feb, year = "2000", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Sat Oct 21 14:18:12 MDT 2000", bibsource = "http://www.elsevier.com/locate/issn/00978493; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.nl/gej-ng/10/13/20/47/27/38/abstract.html; http://www.elsevier.nl/gej-ng/10/13/20/47/27/38/article.pdf", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Frame:2000:ICI, author = "Michael Frame and Tatiana Cogevina", title = "An infinite circle inversion limit set fractal", journal = j-COMPUTERS-AND-GRAPHICS, volume = "24", number = "5", pages = "797--804", month = oct, year = "2000", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Jul 17 08:15:18 MDT 2001", bibsource = "http://www.elsevier.com/locate/issn/00978493; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.nl/gej-ng/10/13/20/47/33/38/abstract.html; http://www.elsevier.nl/gej-ng/10/13/20/47/33/38/article.pdf", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Kelley:2000:LTF, author = "Alice Kelley", title = "Layering techniques in fractal art", journal = j-COMPUTERS-AND-GRAPHICS, volume = "24", number = "4", pages = "611--616", month = aug, year = "2000", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Sat Oct 21 14:18:19 MDT 2000", bibsource = "http://www.elsevier.com/locate/issn/00978493; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.nl/gej-ng/10/13/20/47/27/37/abstract.html; http://www.elsevier.nl/gej-ng/10/13/20/47/32/37/article.pdf", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Kirchner:2000:FSC, author = "James W. Kirchner and Xiahong Feng and Colin Neal", title = "Fractal stream chemistry and its implications for contaminant transport in catchments", journal = j-NATURE, volume = "403", number = "6769", pages = "524--527", day = "3", month = feb, year = "2000", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/35000537", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v403/n6769/full/403524a0.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Liu:2000:LTM, author = "Quansheng Liu and Alain Rouault", title = "Limit Theorems for {Mandelbrot}'s Multiplicative Cascades", journal = j-ANN-APPL-PROBAB, volume = "10", number = "1", pages = "218--239", month = feb, year = "2000", CODEN = "????", ISSN = "1050-5164", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2667193", acknowledgement = ack-nhfb, fjournal = "Annals of applied probability", } @Article{Roughan:2000:RTE, author = "Matthew Roughan and Darryl Veitch and Patrice Abry", title = "Real-time estimation of the parameters of long-range dependence", journal = j-IEEE-TRANS-NETWORKING, volume = "8", number = "4", pages = "467--478", month = aug, year = "2000", CODEN = "IEANEP", DOI = "http://dx.doi.org/10.1109/90.865075", ISSN = "1063-6692 (print), 1558-2566 (electronic)", ISSN-L = "1063-6692", bibdate = "Fri Dec 8 17:21:08 MST 2000", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib", URL = "http://www.acm.org/pubs/citations/journals/ton/2000-8-4/p467-roughan/", acknowledgement = ack-nhfb, fjournal = "IEEE\slash ACM Transactions on Networking", keywords = "estimation; fractal; Hurst parameter; long-range dependence; on-line; real-time; self-similar; traffic modeling; wavelets", subject = "Computer Systems Organization --- Computer-Communication Networks --- Network Operations (C.2.3): {\bf Network management}; Mathematics of Computing --- Numerical Analysis --- Approximation (G.1.2): {\bf Wavelets and fractals}", } @Book{Sole:2000:SLH, author = "Ricard Vicente Sol{\'e} and Brian Goodwin", title = "Signs of Life: How Complexity Pervades Biology", publisher = pub-BASIC-BOOKS, address = pub-BASIC-BOOKS:adr, pages = "xi + 322", year = "2000", ISBN = "0-465-01927-7, 0-465-01928-5 (paperback)", ISBN-13 = "978-0-465-01927-4, 978-0-465-01928-1 (paperback)", LCCN = "QH501 .S65 2000", bibdate = "Thu Feb 28 09:59:50 MST 2013", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, keywords = "Mandelbrot; Zipf's law", tableofcontents = "Nonlinearity, chaos, and emergence \\ Order, complexity, disorder \\ Genetic networks, cell differentiation, and development \\ Physiology on the edge of chaos \\ Brain dynamics \\ Ants, brains, and chaos \\ The Baroque of nature \\ Life on the edge of catastrophe \\ Evolution and extinction \\ Fractal cities and market crashes", } @Article{Stark:2000:HSF, author = "Colin P. Stark and Marc Stieglitz", title = "Hydrology: The sting in a fractal tail", journal = j-NATURE, volume = "403", number = "6769", pages = "493--495", day = "3", month = feb, year = "2000", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/35000689", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v403/n6769/full/403493a0.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Stewart:2000:FGT, author = "Ian Stewart", title = "A Fractal Guide to Tic-Tac-Toe", journal = j-SCI-AMER, volume = "283", number = "2", pages = "86--88", month = aug, year = "2000", CODEN = "SCAMAC", DOI = "http://dx.doi.org/10.1038/scientificamerican0800-86", ISSN = "0036-8733 (print), 1946-7087 (electronic)", ISSN-L = "0036-8733", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/scientificamerican/journal/v283/n2/pdf/scientificamerican0800-86.pdf", acknowledgement = ack-nhfb, ajournal = "Sci. Amer.", fjournal = "Scientific American", } @Article{Stewart:2000:MRF, author = "Ian Stewart", title = "Mathematical Recreations: a fractal guide to tic-tac-toe", journal = j-SCI-AMER, volume = "283", number = "2", pages = "86--??", month = aug, year = "2000", CODEN = "SCAMAC", ISSN = "0036-8733 (print), 1946-7087 (electronic)", bibdate = "Mon Nov 13 06:19:27 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; OCLC Contents1st database", acknowledgement = ack-nhfb, } @Article{Alfonseca:2001:DFD, author = "M. Alfonseca and A. Ortega", title = "Determination of fractal dimensions from equivalent {$L$} systems", journal = j-IBM-JRD, volume = "45", number = "6", pages = "797--805", month = "????", year = "2001", CODEN = "IBMJAE", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Wed Nov 14 18:58:13 MST 2001", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib; http://www.research.ibm.com/journal/rd45-6.html", URL = "http://www.research.ibm.com/journal/rd/456/alfonseca.html; http://www.research.ibm.com/journal/rd/456/alfonseca.pdf", acknowledgement = ack-nhfb, ordernumber = "G322-0229", } @Article{Allis:2001:VPS, author = "Ned W. Allis and Jeffrey P. Dumont and Clifford A. Reiter", title = "Visualizing point sets, fractals, and quasicrystals using raster techniques", journal = j-COMPUTERS-AND-GRAPHICS, volume = "25", number = "3", pages = "519--527", month = jun, year = "2001", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Jul 17 08:15:19 MDT 2001", bibsource = "http://www.elsevier.com/locate/issn/00978493; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.nl/gej-ng/10/13/20/57/32/40/abstract.html; http://www.elsevier.nl/gej-ng/10/13/20/57/32/40/article.pdf", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Drewes:2001:TBG, author = "Frank Drewes", title = "Tree-based generation of languages of fractals", journal = j-THEOR-COMP-SCI, volume = "262", number = "1--2", pages = "377--414", day = "6", month = jul, year = "2001", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Wed Jul 25 18:49:25 MDT 2001", bibsource = "http://www.elsevier.com/locate/issn/03043975; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs2000.bib", URL = "http://www.elsevier.nl/gej-ng/10/41/16/204/21/41/abstract.html; http://www.elsevier.nl/gej-ng/10/41/16/204/21/41/article.pdf", acknowledgement = ack-nhfb, fjournal = "Theoretical Computer Science", } @Article{Guerin:2001:NGF, author = "Charles-Antoine Gu{\'e}rin", title = "A note on the generalized fractal dimensions of a probability measure", journal = j-J-MATH-PHYS, volume = "42", number = "12", pages = "5871--5875", month = dec, year = "2001", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Thu Mar 28 19:47:21 MST 2002", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib", acknowledgement = ack-nhfb, } @Article{Hahn:2001:CMB, author = "Horst K. Hahn and Markus G. Lentschig and Burckhard Terwey and Heinz-Otto Peitgen", title = "Clinical {MRI} Based Volumetry: The Cerebral Ventricles", journal = j-LECT-NOTES-COMP-SCI, volume = "2208", number = "??", pages = "1291--??", month = "????", year = "2001", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Sat Feb 2 13:06:53 MST 2002", bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t2208.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.springer-ny.com/link/service/series/0558/bibs/2208/22081291.htm; http://link.springer-ny.com/link/service/series/0558/papers/2208/22081291.pdf", acknowledgement = ack-nhfb, } @Article{Herman:2001:FBP, author = "Peter Herm{\'a}n and L{\'a}szl{\'o} Kocsis and Andras Eke", title = "Fractal Branching {Pattern} in the Pial Vasculature in the Cat", journal = j-J-CEREB-BLOOD-FLOW-METAB, volume = "21", number = "6", pages = "741--753", month = jun, year = "2001", CODEN = "JCBMDN", DOI = "http://dx.doi.org/10.1097/00004647-200106000-00012", ISSN = "0271-678X (print), 1559-7016 (electronic)", ISSN-L = "0271-678X", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/jcbfm/journal/v21/n6/full/9591109a.html", acknowledgement = ack-nhfb, fjournal = "Journal of Cerebral Blood Flow and Metabolism", } @Article{Isaeva:2001:MSC, author = "Olga B. Isaeva and Sergey P. Kuznetsov and Vladimir I. Ponomarenko", title = "{Mandelbrot} set in coupled logistic maps and in an electronic experiment", journal = j-PHYS-REV-E, volume = "64", pages = "055201--??", year = "2001", CODEN = "PLEEE8", ISSN = "1539-3755 (print), 1550-2376 (electronic)", ISSN-L = "1539-3755", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aps.org/abstract/PRE/v64/e055201", acknowledgement = ack-nhfb, fjournal = "Physical Review E (Statistical physics, plasmas, fluids, and related interdisciplinary topics)", } @Article{Malacarne:2001:QED, author = "L. C. Malacarne and R. S. Mendes and E. K. Lenzi", title = "$q$-exponential distribution in urban agglomeration", journal = j-PHYS-REV-E, volume = "65", number = "??", pages = "017106", day = "21", month = dec, year = "2001", CODEN = "PLEEE8", DOI = "http://dx.doi.org/10.1103/PhysRevE.65.017106", ISSN = "1539-3755 (print), 1550-2376 (electronic)", ISSN-L = "1539-3755", bibdate = "Tue Feb 26 06:40:57 MST 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://link.aps.org/doi/10.1103/PhysRevE.65.017106", acknowledgement = ack-nhfb, fjournal = "Physical Review E (Statistical physics, plasmas, fluids, and related interdisciplinary topics)", keywords = "Zipf--Mandelbrot law", } @Article{Mirowski:2001:RBS, author = "Philip E. Mirowski", title = "Review: {{\booktitle{Fractals and Scaling in Finance: Discontinuity, Concentration, Risk}} by Beno{\^\i}t B. Mandelbrot}", journal = j-J-ECON-LIT, volume = "39", number = "2", pages = "585--587", month = jun, year = "2001", CODEN = "JECLB3", ISSN = "0022-0515 (print), 1547-1101 (electronic)", ISSN-L = "0022-0515", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/2698262", acknowledgement = ack-nhfb, fjournal = "Journal of Economic Literature", } @Article{Montemurro:2001:BZM, author = "Marcelo A. Montemurro", title = "Beyond the {Zipf--Mandelbrot} law in quantitative linguistics", journal = j-PHYSICA-A, volume = "300", number = "3--4", pages = "567--578", day = "15", month = nov, year = "2001", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/S0378-4371(01)00355-7", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", bibdate = "Wed Feb 27 07:32:55 MST 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0378437101003557", acknowledgement = ack-nhfb, fjournal = "Physica A. Statistical Mechanics and its Applications", keywords = "Zipf's Law", } @Article{Nakano:2001:TON, author = "M. Nakano and H. Fujita and M. Takahata and S. Kiribayashi and K. Yamaguchi", title = "Third-order nonlinear optical properties of dendritic molecular aggregates: {Effects} of fractal architecture", journal = j-IJQC, volume = "84", number = "6", pages = "649--659", month = "????", year = "2001", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.1420", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Fri Feb 22 08:35:35 MST 2002", bibsource = "http://www.interscience.wiley.com/jpages/0020-7608; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ijqc2000.bib; http://www3.interscience.wiley.com/journalfinder.html", URL = "http://www3.interscience.wiley.com/cgi-bin/abstract/85008257/START; http://www3.interscience.wiley.com/cgi-bin/fulltext/85008257/FILE?TPL=ftx_start; http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=85008257&PLACEBO=IE.pdf", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Oldershaw:2001:SMA, author = "Robert L. Oldershaw", title = "{$M$}-set as metaphor: The abuse of algebra", journal = j-PHYS-EDUC, volume = "36", number = "5", pages = "433", month = "????", year = "2001", CODEN = "PHEDA7", ISSN = "0031-9120 (print), 1361-6552 (electronic)", ISSN-L = "0031-9120", bibdate = "Fri Sep 7 10:04:02 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://stacks.iop.org/0031-9120/36/i=5/a=605", acknowledgement = ack-nhfb, fjournal = "Physics Education", keywords = "Mandelbrot set", } @Article{Balamash:2002:PMM, author = "Abdullah Balamash and Marwan Krunz", title = "A Parsimonious Multifractal Model for {WWW} Traffic", journal = j-LECT-NOTES-COMP-SCI, volume = "2376", number = "??", pages = "1--??", month = "????", year = "2002", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Sat Nov 30 20:57:15 MST 2002", bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t2376.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.springer.de/link/service/series/0558/bibs/2376/23760001.htm; http://link.springer.de/link/service/series/0558/papers/2376/23760001.pdf", acknowledgement = ack-nhfb, } @Article{Burns:2002:PEA, author = "Anne M. Burns", title = "Plotting the Escape: An Animation of Parabolic Bifurcations in the {Mandelbrot} Set", journal = j-MATH-MAG, volume = "75", number = "2", pages = "104--116", month = apr, year = "2002", CODEN = "MAMGA8", ISSN = "0025-570X", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/3219143", acknowledgement = ack-nhfb, fjournal = "Mathematics Magazine", } @Article{Chacon:2002:MFB, author = "R. Chac{\'o}n and A. Mart{\'\i}nez Garc{\'\i}a-Hoz", title = "Modifying fractal basin boundaries by reshaping periodic terms", journal = j-J-MATH-PHYS, volume = "43", number = "7", pages = "3586--3591", month = jul, year = "2002", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Tue Dec 16 11:35:53 MST 2003", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib", acknowledgement = ack-nhfb, } @Article{Gintz:2002:CGA, author = "Terry W. Gintz", title = "Chaos and Graphics: Artist's statement {CQUATS}---a non-distributive quad algebra for {$3$D} renderings of {Mandelbrot} and {Julia} sets", journal = j-COMPUTERS-AND-GRAPHICS, volume = "26", number = "2", pages = "367--370", day = "??", month = apr, year = "2002", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Fri Nov 22 09:29:35 MST 2002", bibsource = "http://www.elsevier.com/locate/issn/00978493; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/gej-ng/10/13/20/68/41/42/abstract.html", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Haskell:2002:FGP, author = "John P. Haskell and Mark E. Ritchie and Han Olff", title = "Fractal geometry predicts varying body size scaling relationships for mammal and bird home ranges", journal = j-NATURE, volume = "418", number = "6897", pages = "527--530", day = "1", month = aug, year = "2002", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/nature00840", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v418/n6897/full/nature00840.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @InProceedings{Manaris:2002:PTR, author = "B. Manaris and T. Purewal and C. McCormick", editor = "{IEEE}", booktitle = "Proceedings: IEEE SoutheastCon 2002: April 5--7, 2002, Embassy Suites Hotel, Columbia, South Carolina, USA", title = "Progress Towards Recognizing and Classifying Beautiful Music with Computers: {MIDI}-Encoded Music and the {Zipf-Mandelbrot Law}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "52--57", year = "2002", DOI = "http://dx.doi.org/10.1109/.2002.995557", ISBN = "0-7803-7252-2", ISBN-13 = "978-0-7803-7252-8", LCCN = "TK7801 .I56 2002", bibdate = "Mon Feb 18 10:40:27 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=7814", acknowledgement = ack-nhfb, bookpages = "xviii + 482", } @Book{Melin:2002:MSC, author = "Patricia Melin and Oscar Castillo", title = "Modelling, simulation and control of non-linear dynamical systems: an intelligent approach using soft computing and fractal theory", volume = "2", publisher = pub-TAYLOR-FRANCIS, address = pub-TAYLOR-FRANCIS:adr, pages = "xi + 249", year = "2002", ISBN = "0-415-27236-X", ISBN-13 = "978-0-415-27236-0", LCCN = "QA427 .M45 2002", bibdate = "Wed Nov 16 12:14:49 MST 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/matlab.bib; z3950.loc.gov:7090/Voyager", series = "Numerical insights, 1028-5350", acknowledgement = ack-nhfb, keywords = "Matlab", remark = "Diskette contains computer programs for modeling/simulation.", subject = "Nonlinear theories; Control theory; Soft computing; Dynamics; Fractals", } @Article{Meson:2002:KLG, author = "Alejandro M. Mes{\'o}n and Fernando Vericat", title = "On the {Kolmogorov}-like generalization of {Tsallis} entropy, correlation entropies and multifractal analysis", journal = j-J-MATH-PHYS, volume = "43", number = "2", pages = "904--917", month = feb, year = "2002", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Fri Mar 29 05:03:16 MST 2002", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib", acknowledgement = ack-nhfb, } @Article{Molnar:2002:QTA, author = "S{\'a}ndor Moln{\'a}r and Trang Dinh Dang and Istv{\'a}n Maricza", title = "On the Queue Tail Asymptotics for General Multifractal Traffic", journal = j-LECT-NOTES-COMP-SCI, volume = "2345", number = "??", pages = "105--??", month = "????", year = "2002", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Tue Sep 10 19:09:42 MDT 2002", bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t2345.htm; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.springer-ny.com/link/service/series/0558/bibs/2345/23450105.htm; http://link.springer-ny.com/link/service/series/0558/papers/2345/23450105.pdf", acknowledgement = ack-nhfb, } @Article{Mudge:2002:RBM, author = "Michael R. Mudge", title = "Review: {{\booktitle{The Mandelbrot Set, Theme and Variations}} by Tan Lei}", journal = j-MATH-GAZ, volume = "86", number = "505", pages = "185", month = mar, year = "2002", CODEN = "MAGAAS", ISSN = "0025-5572", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/3621636", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", } @Article{Ortega:2002:CGP, author = "Alfonso Ortega and Marina de la Cruz and Manuel Alfonseca", title = "Chaos and Graphics: Parametric $2$-dimensional {$L$} systems and recursive fractal images: {Mandelbrot} set, {Julia} sets and biomorphs", journal = j-COMPUTERS-AND-GRAPHICS, volume = "26", number = "1", pages = "143--149", month = feb, year = "2002", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Fri Feb 22 15:44:40 MST 2002", bibsource = "http://www.elsevier.com/locate/issn/00978493; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/gej-ng/10/13/20/68/27/40/abstract.html", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Vormoor:2002:LSF, author = "Oliver Vormoor", title = "Large scale fractal aggregates using the tunable dimension cluster-cluster aggregation", journal = j-COMP-PHYS-COMM, volume = "144", number = "2", pages = "121--129", day = "1", month = apr, year = "2002", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/S0010-4655(02)00142-X", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 23:41:14 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S001046550200142X", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Ye:2002:ACO, author = "Ruisong Ye", title = "Another choice for orbit traps to generate artistic fractal images", journal = j-COMPUTERS-AND-GRAPHICS, volume = "26", number = "4", pages = "629--633", day = "??", month = aug, year = "2002", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Fri Nov 22 09:29:36 MST 2002", bibsource = "http://www.elsevier.com/locate/issn/00978493; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib", URL = "http://www.elsevier.com/gej-ng/10/13/20/68/55/44/abstract.html", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Alvarez-Ramirez:2003:ZMS, author = "Jose Alvarez-Ramirez and Monica Meraz and Gustavo Gallegos", title = "{Zipf--Mandelbrot} scaling law for world track records", journal = j-PHYSICA-A, volume = "328", number = "3--4", pages = "545--560", day = "15", month = oct, year = "2003", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/S0378-4371(03)00579-X", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", bibdate = "Wed Feb 27 07:32:55 MST 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://www.sciencedirect.com/science/article/pii/S037843710300579X", acknowledgement = ack-nhfb, fjournal = "Physica A. Statistical Mechanics and its Applications", keywords = "Zipf's Law", } @Article{Balamash:2003:MWR, author = "Abdullah Balamash and Marwan Krunz", title = "Modeling web requests: a multifractal approach", journal = j-COMP-NET-AMSTERDAM, volume = "43", number = "2", pages = "211--226", day = "7", month = oct, year = "2003", CODEN = "????", ISSN = "1389-1286 (print), 1872-7069 (electronic)", ISSN-L = "1389-1286", bibdate = "Wed Nov 5 08:04:37 MST 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compnetamsterdam2000.bib", acknowledgement = ack-nhfb, } @Article{Buzio:2003:CMF, author = "Renato Buzio and Corrado Boragno and Fabio Biscarini and Francesco Buatier De Mongeot and Ugo Valbusa", title = "The contact mechanics of fractal surfaces", journal = j-NATURE-MATERIALS, volume = "2", number = "4", pages = "233--236", day = "9", month = mar, year = "2003", CODEN = "NMAACR", DOI = "http://dx.doi.org/10.1038/nmat855", ISSN = "1476-1122 (print), 1476-4660 (electronic)", ISSN-L = "1476-1122", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nmat/journal/v2/n4/full/nmat855.html", acknowledgement = ack-nhfb, ajournal = "Nat. Mater.", fjournal = "Nature Materials", } @Article{Doescher:2003:INC, author = "Erwin Doescher and Haroldo F. de Campos Velho and Fernando M. Ramos", title = "Isothermal and natural convection flows in fractal cavities", journal = j-APPL-NUM-MATH, volume = "47", number = "3--4", pages = "407--419", month = dec, year = "2003", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", ISSN-L = "0168-9274", bibdate = "Tue Jan 27 16:50:57 MST 2004", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; http://www.sciencedirect.com/science/journal/01689274", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics: Transactions of IMACS", remark = "Applied and Computational Mathematics: Selected Papers of the Fourth PanAmerican Workshop.", } @Article{Drakopoulos:2003:OPV, author = "V. Drakopoulos and N. Mimikou and T. Theoharis", title = "An overview of parallel visualisation methods for {Mandelbrot} and {Julia} sets", journal = j-COMPUTERS-AND-GRAPHICS, volume = "27", number = "4", pages = "635--646", month = aug, year = "2003", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Jan 27 12:04:28 MST 2004", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @InProceedings{Gilbert:2003:FBT, author = "Anna Gilbert and Howard Karloff", title = "On the fractal behavior of {TCP}", crossref = "ACM:2003:PTF", pages = "297--306", year = "2003", bibdate = "Tue Jan 13 06:21:07 MST 2004", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @InProceedings{Gupta:2003:BGF, author = "A. Gupta and R. Krauthgamer and J. R. Lee", title = "Bounded geometries, fractals, and low-distortion embeddings", crossref = "IEEE:2003:PAI", pages = "534--543", year = "2003", bibdate = "Fri Jul 15 16:13:03 MDT 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/focs2000.bib", URL = "http://ieeexplore.ieee.org/iel5/8767/27770/01238226.pdf", acknowledgement = ack-nhfb, } @Article{Kallam:2003:RBG, author = "Linda Kallam", title = "Review: {{\booktitle{Fractals, Graphics, and Mathematics Education}} by Michael L. Frame, Beno{\^\i}t B. Mandelbrot}", journal = j-MATH-TEACH, volume = "96", number = "5", pages = "379", month = "????", year = "2003", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/20871345", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @InProceedings{Manaris:2003:EMZ, author = "Bill Manaris and Dallas Vaughan and Christopher Wagner and Juan Romero and Robert B. Davis", title = "Evolutionary Music and the {Zipf--Mandelbrot Law}: Developing Fitness Functions for Pleasant Music", crossref = "Raidl:2003:AEC", pages = "522--534", year = "2003", bibdate = "Mon Feb 18 10:49:54 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Article{Mitzenmacher:2003:BHG, author = "Michael Mitzenmacher", title = "A Brief History of Generative Models for Power Law and Lognormal Distributions", journal = j-INTERNET-MATH, volume = "1", number = "2", pages = "226--251", month = dec, year = "2003", CODEN = "????", DOI = "http://dx.doi.org/10.1080/15427951.2004.10129088", ISSN = "1542-7951 (print), 1944-9488 (electronic)", ISSN-L = "1542-7951", bibdate = "Thu Nov 24 13:38:13 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib; http://www.math.utah.edu/pub/tex/bib/fibquart.bib", URL = "http://projecteuclid.org/euclid.im/1089229510; http://www.eecs.harvard.edu/~michaelm/CS223/powerlaw.pdf; http://www.tandfonline.com/toc/uinm20/1/2", acknowledgement = ack-nhfb, ajournal = "Internet Math.", fjournal = "Internet Mathematics", keywords = "Fibonacci sequence; lognormal distribution; monkeys typing randomly; Pareto distribution; power-law distribution; Yule distribution; Zipf's Law", remark = "This is a survey article with a six-page bibliography of earlier work, and a clear description of the differences between lognormal and power-law distributions, which otherwise look similar on log-log plots. Lognormal distributions have finite means and moments, while power-law distributions may have infinite means and/or moments, depending on the exponent. The preprint at author's Web site (last URL) contains additional material on the acrimonious debate between Beno{\^\i}t Mandelbrot and Herbert A. Simon (see \cite{Mandelbrot:1959:NCS,Simon:1955:CSD}, and other references in Mitzenmacher's paper) on the derivation and modeling of Zipf's Law distributions.", } @Article{Naschitz:2003:ACRa, author = "J. E. Naschitz and R. Itzhak and N. Shaviv and I. Khorshidi and S. Sundick and H. Isseroff and M. Fields and R. M. Priselac and D. Yeshurun and E. Sabo and others", title = "Assessment of cardiovascular reactivity by fractal and recurrence quantification analysis of heart rate and pulse transit time", journal = "Journal of Human Hypertension", volume = "17", number = "2", pages = "111--118", day = "4", month = feb, year = "2003", CODEN = "????", DOI = "http://dx.doi.org/10.1038/sj.jhh.1001517", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/jhh/journal/v17/n2/full/1001517a.html", acknowledgement = ack-nhfb, } @Article{Naschitz:2003:ACRb, author = "J. E. Naschitz and R. Itzhak and N. Shaviv and I. Khorshidi and S. Sundick and H. Isseroff and M. Fields and R. M. Priselac and D. Yeshurun and E. Sabo and others", title = "Assessment of cardiovascular reactivity by fractal and recurrence quantification analysis of heart rate and pulse transit time", journal = "Journal of Human Hypertension", volume = "17", number = "8", pages = "585--585", day = "22", month = jul, year = "2003", CODEN = "????", DOI = "http://dx.doi.org/10.1038/sj.jhh.1001615", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/jhh/journal/v17/n8/full/1001615a.html", acknowledgement = ack-nhfb, } @Article{Nikiel:2003:GVE, author = "Slawek Nikiel and Adam Goinski", title = "Generation of volumetric escape time fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "27", number = "6", pages = "977--982", month = dec, year = "2003", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Jan 27 12:04:28 MST 2004", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Ortega:2003:GED, author = "A. Ortega and A. A. Dalhoum and M. Alfonseca", title = "Grammatical evolution to design fractal curves with a given dimension", journal = j-IBM-JRD, volume = "47", number = "4", pages = "483--493", month = "????", year = "2003", CODEN = "IBMJAE", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Thu Aug 7 13:37:16 MDT 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib; http://www.research.ibm.com/journal/", URL = "http://www.research.ibm.com/journal/rd/474/ortega.pdf", acknowledgement = ack-nhfb, ordernumber = "G322-0236", } @Article{Spehar:2003:UAF, author = "Branka Spehar and Colin W. G. Clifford and Ben R. Newell and Richard P. Taylor", title = "Universal aesthetic of fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "27", number = "5", pages = "813--820", month = oct, year = "2003", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Tue Jan 27 12:04:28 MST 2004", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Wang:2003:DRT, author = "Ching-Te Wang and Tung-Shou Chen and Shao-Hau He", title = "Detecting and restoring the tampered images based on iteration-free fractal compression", journal = j-J-SYST-SOFTW, volume = "67", number = "2", pages = "131--140", day = "15", month = aug, year = "2003", CODEN = "JSSODM", ISSN = "0164-1212 (print), 1873-1228 (electronic)", bibdate = "Sat Oct 25 07:14:15 MDT 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jsystsoftw.bib; http://www.sciencedirect.com/science/journal/01641212", acknowledgement = ack-nhfb, } @Article{Devaney:2004:MVM, author = "Robert L. Devaney", title = "{Mandelbrot}'s Vision for Mathematics", journal = "Proceedings of Symposia in Pure Mathematics", volume = "72", number = "1", pages = "??--??", month = "????", year = "2004", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 11:21:52 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.math.yale.edu/mandelbrot/web_pdfs/jubileeletters.pdf", acknowledgement = ack-nhfb, } @Article{Ford:2004:DEM, author = "Roger Ford", title = "Discovering and Exploring {Mandelbrot} Set Points with a Graphing Calculator", journal = j-MATH-TEACH, volume = "98", number = "1", pages = "38--46", month = "????", year = "2004", CODEN = "????", ISSN = "0025-5769", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/27971613", acknowledgement = ack-nhfb, fjournal = "The Mathematics Teacher", } @Article{Friesen:2004:BRS, author = "John Friesen", title = "Book Review: {Scott Mandelbrote, Footprints of the Lion: Isaac Newton at Work. Exhibition at Cambridge University Library 9 October 2001--23 March 2002. Cambridge: Cambridge University Library, 2001. Pp. 142. ISBN 0-902205-58-7. \pounds 7.50 (paperback)}", journal = j-BRITISH-J-HIST-SCI, volume = "37", number = "3", pages = "349--350", month = sep, year = "2004", CODEN = "BJHSAT", DOI = "http://dx.doi.org/10.1017/S0007087404266122", ISSN = "0007-0874 (print), 1474-001X (electronic)", ISSN-L = "0007-0874", bibdate = "Thu Sep 23 07:34:43 MDT 2010", bibsource = "http://journals.cambridge.org/action/displayJournal?jid=BJH; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/bjhs2000.bib", URL = "http://www.jstor.org/stable/4028130; http://www.jstor.org/stable/4028432", acknowledgement = ack-nhfb, fjournal = "British Journal for the History of Science", } @Book{Getz:2004:GMF, author = "Chonat Getz and Janet Helmstedt", title = "Graphics with {Mathematica}: fractals, {Julia} sets, patterns and natural forms", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "vii + 322", year = "2004", ISBN = "0-444-51760-X (hardback), 0-444-51774-X (CD-ROM)", ISBN-13 = "978-0-444-51760-9 (hardback), 978-0-444-51774-6 (CD-ROM)", LCCN = "QA76.95 .G48 2004", bibdate = "Wed Oct 4 11:03:45 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib", note = "Includes CD-ROM.", acknowledgement = ack-nhfb, keywords = "computer graphics; fractals -- data processing; Mathematica (computer file)", } @Article{Giles:2004:BMF, author = "Jim Giles", title = "{Beno{\^\i}t Mandelbrot}: Father of fractals", journal = j-NATURE, volume = "432", number = "7015", pages = "266--267", day = "17", month = nov, year = "2004", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/432266a", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:06:18 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v432/n7015/full/432266a.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Kristiansen:2004:EOZ, author = "Kai de Lange Kristiansen and Geir Helgesen and Arne T. Skjeltorp", title = "Experimental observation of {Zipf--Mandelbrot} relation", journal = j-PHYSICA-A, volume = "335", number = "3-4", pages = "413--420", month = "????", year = "2004", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/j.physa.2003.12.024", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", MRclass = "82D10 (76T99 82-05)", MRnumber = "2044153", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "Physica A. Statistical Mechanics and its Applications", } @Article{Magid:2004:RMB, author = "Aaron Magid", title = "Review: The Mystery Behind The {Mandelbrot} Set", journal = "Math Horizons", volume = "12", number = "2", pages = "27", month = nov, year = "2004", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/25678516", acknowledgement = ack-nhfb, } @Article{Martyn:2004:NAM, author = "Tomek Martyn", title = "A new approach to morphing {$2$D} affine {IFS} fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "28", number = "2", pages = "249--272", month = apr, year = "2004", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Thu Jul 14 18:00:18 MDT 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Nguyen:2004:HPF, author = "Hung Phi Nguyen and Bastien Chopard and Serge Stoll", title = "Hydrodynamic properties of fractal aggregates in {$2$D} using {Lattice Boltzmann} simulation", journal = j-FUT-GEN-COMP-SYS, volume = "20", number = "6", pages = "981--991", month = aug, year = "2004", CODEN = "FGSEVI", ISSN = "0167-739X (print), 1872-7115 (electronic)", ISSN-L = "0167-739X", bibdate = "Fri Jul 15 08:00:45 MDT 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/futgencompsys.bib; http://www.sciencedirect.com/science/journal/0167739X", acknowledgement = ack-nhfb, fjournal = "Future Generation Computer Systems", } @Article{Pastor:2004:CBM, author = "G. Pastor and M. Romera and G. {\'A}lvarez and F. Montoya", title = "Chaotic bands in the {Mandelbrot} set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "28", number = "5", pages = "779--784", month = oct, year = "2004", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Thu Jul 14 18:00:19 MDT 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Pe:2004:XF, author = "Joseph L. Pe", title = "The 3 x +1 fractal", journal = j-COMPUTERS-AND-GRAPHICS, volume = "28", number = "3", pages = "431--435", month = jun, year = "2004", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Thu Jul 14 18:00:18 MDT 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @InCollection{Peitgen:2004:CGH, author = "Heinz-Otto Peitgen and H. (Hartmut) J{\"u}rgens and Dietmar Saupe", title = "The Chaos Game: How Randomness Creates Deterministic Shapes", crossref = "Peitgen:2004:CFN", chapter = "7", pages = "277--327", year = "2004", DOI = "http://dx.doi.org/10.1007/0-387-21823-8_7", bibdate = "Fri Mar 09 08:30:57 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib", acknowledgement = ack-nhfb, } @Article{Romera:2004:EAD, author = "M. Romera and G. Pastor and G. {\'A}lvarez and F. Montoya", title = "External arguments of {Douady} cauliflowers in the {Mandelbrot} set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "28", number = "3", pages = "437--449", month = jun, year = "2004", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Thu Jul 14 18:00:18 MDT 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Anonymous:2005:BBF, author = "Anonymous", title = "{Buchbesprechung: \booktitle{Fraktale und Finanzen. M{\"a}rkte zwischen Risiko und Ruin}. Von Beno{\^\i}t B. Mandelbrot und Richard L. Hudson}", journal = "RiskNews", volume = "2", number = "4", pages = "56--57", month = aug, year = "2005", CODEN = "????", DOI = "http://dx.doi.org/10.1002/risk.200590086", ISSN = "????", bibdate = "Sat Sep 08 19:24:35 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://onlinelibrary.wiley.com/doi/10.1002/risk.200590086/abstract", acknowledgement = ack-nhfb, onlinedate = "27 JUL 2005", } @Book{Baumann:2005:MTP, author = "Gerd Baumann", title = "{Mathematica} in theoretical physics", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xvi + 544", year = "2005", ISBN = "0-387-01674-0", ISBN-13 = "978-0-387-01674-0", LCCN = "QC20.7.E4 B3813 2005", bibdate = "Thu Oct 20 18:45:40 MDT 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, remark = "1. Classical mechanics and nonlinear dynamics -- 2. Electrodynamics, quantum mechanics, general relativity, and fractals.", subject = "Mathematical physics; Data processing; Mathematica (Computer file)", } @Article{Eke:2005:FNC, author = "Andras Eke and P{\'e}ter Herm{\'a}n and M{\'a}rton Hajnal", title = "Fractal and noisy {CBV} dynamics in humans: influence of age and gender", journal = j-J-CEREB-BLOOD-FLOW-METAB, volume = "26", number = "7", pages = "891--898", day = "16", month = nov, year = "2005", CODEN = "JCBMDN", DOI = "http://dx.doi.org/10.1038/sj.jcbfm.9600243", ISSN = "0271-678X (print), 1559-7016 (electronic)", ISSN-L = "0271-678X", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/jcbfm/journal/v26/n7/full/9600243a.html", acknowledgement = ack-nhfb, } @Article{Fairthorne:2005:PDE, author = "Robert A. Fairthorne", title = "Progress in Documentation: Empirical Hyperbolic Distributions ({Bradford--Zipf--Mandelbrot}) for Bibliometric Description and Prediction", journal = j-J-DOC, volume = "61", number = "2", pages = "171--193", month = "????", year = "2005", CODEN = "JDOCAS", DOI = "http://dx.doi.org/10.1108/00220410510585179", ISSN = "0022-0418 (print), 1758-7379 (electronic)", ISSN-L = "0022-0418", bibdate = "Fri Nov 25 06:27:27 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", note = "Reprint of \cite{Fairthorne:1969:PDE}.", acknowledgement = ack-nhfb, fjournal = "Journal of Documentation", remark = "According to \cite{Potter:1981:LLR}, this paper is the first to link the distributions of Bradford, Zipf, Mandelbrot, and Lotka.", } @Article{Herman:2005:FCS, author = "Peter Herman and Ikuhiro Kida and Basavaraju G. Sanganahalli and Fahmeed Hyder and Andras Eke", title = "Fractal correlation structure in {fMRI} data of rat brain", journal = j-J-CEREB-BLOOD-FLOW-METAB, volume = "25", number = "1s", pages = "S379--S379", day = "15", month = jul, year = "2005", CODEN = "JCBMDN", DOI = "http://dx.doi.org/10.1038/sj.jcbfm.9591524.0379", ISSN = "0271-678X (print), 1559-7016 (electronic)", ISSN-L = "0271-678X", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/jcbfm/journal/v25/n1s/full/9591524.0379a.html", acknowledgement = ack-nhfb, } @Article{Herman:2005:FPL, author = "Peter Herman and Hubert Tr{\"u}bel and Fahmeed Hyder and Andras Eke", title = "Fractal patterns of local and global {CBF} in rat brain during hypotension", journal = j-J-CEREB-BLOOD-FLOW-METAB, volume = "25", number = "1s", pages = "S195--S195", day = "15", month = jul, year = "2005", CODEN = "JCBMDN", DOI = "http://dx.doi.org/10.1038/sj.jcbfm.9591524.0195", ISSN = "0271-678X (print), 1559-7016 (electronic)", ISSN-L = "0271-678X", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/jcbfm/journal/v25/n1s/full/9591524.0195a.html", acknowledgement = ack-nhfb, } @Article{Herman:2005:FPN, author = "Peter Herman and Shaun A. Wahab and Andras Eke and Fahmeed Hyder", title = "Fractal properties of neurophysiologic signals in rat somatosensory cortex", journal = j-J-CEREB-BLOOD-FLOW-METAB, volume = "25", number = "1s", pages = "S186--S186", day = "15", month = jul, year = "2005", CODEN = "JCBMDN", DOI = "http://dx.doi.org/10.1038/sj.jcbfm.9591524.0186", ISSN = "0271-678X (print), 1559-7016 (electronic)", ISSN-L = "0271-678X", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/jcbfm/journal/v25/n1s/full/9591524.0186a.html", acknowledgement = ack-nhfb, } @Article{Hertling:2005:MSC, author = "Peter Hertling", title = "Is the {Mandelbrot} set computable?", journal = "Mathematical Logic Quarterly", volume = "51", number = "1", pages = "5--18", month = jan, year = "2005", CODEN = "????", DOI = "http://dx.doi.org/10.1002/malq.200310124", ISSN = "????", bibdate = "Mon Sep 10 06:06:03 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, onlinedate = "25 Nov 2004", } @Article{Leversha:2005:RBC, author = "Gerry Leversha", title = "Review: {{\booktitle{The Colours of Infinity}} by Ian Stewart, Arthur C. Clarke, Beno{\^\i}t Mandelbrot, Michael Barnsley, Louisa Barnsley, Will Rood, Gary Flake, David Pennock, Robert Prechter, Nigel Lesmoir-Gordon}", journal = j-MATH-GAZ, volume = "89", number = "514", pages = "170--171", month = mar, year = "2005", CODEN = "MAGAAS", ISSN = "0025-5572", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/3620696", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", } @Article{Leys:2005:SIF, author = "Jos Leys", title = "Sphere inversion fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "29", number = "3", pages = "463--466", month = jun, year = "2005", CODEN = "COGRD2", ISSN = "0097-8493 (print), 1873-7684 (electronic)", bibdate = "Thu Jul 14 18:00:22 MDT 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Manaris:2005:ZLM, author = "Bill Manaris and Juan Romero and Penousal Machado and Dwight Krehbiel and Timothy Hirzel and Walter Pharr and Robert B. Davis", title = "{Zipf}'s law, music classification, and aesthetics", journal = j-COMP-MUSIC-J, volume = "29", number = "1", pages = "55--69", month = "Spring", year = "2005", CODEN = "CMUJDY", ISSN = "0148-9267 (print), 1531-5169 (electronic)", ISSN-L = "0148-9267", bibdate = "Sat Feb 16 18:40:14 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://muse.jhu.edu/journals/cmj/summary/v029/29.1manaris.html; http://muse.jhu.edu/journals/computer_music_journal/v029/29.1manaris.pdf", acknowledgement = ack-nhfb, fjournal = "Computer Music Journal", keywords = "Benford's Law; Zipf's Law; Zipf--Mandelbrot Law", } @Article{Maslov:2005:GTS, author = "V. P. Maslov", title = "On a general theorem of set theory that leads to the {Gibbs}, {Bose--Einstein}, and {Pareto} distributions and to the {Zipf--Mandelbrot} law for the stock market", journal = j-MAT-ZAMETKI, volume = "78", number = "6", pages = "870--877", month = "????", year = "2005", CODEN = "????", DOI = "http://dx.doi.org/10.1007/s11006-005-0186-9", ISSN = "0025-567X", MRclass = "91B28 (90C29)", MRnumber = "2249037 (2007b:91077)", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "Rossi{\u\i}skaya Akademiya Nauk. Matematicheskie Zametki", } @Article{Maslov:2005:ZML, author = "V. P. Maslov", title = "The {Zipf--Mandelbrot} law: quantization and an application to the stock market", journal = j-RUSS-J-MATH-PHYS, volume = "12", number = "4", pages = "483--488", month = "????", year = "2005", CODEN = "RJMPEL", ISSN = "1061-9208", ISSN-L = "1061-9208", MRclass = "91B28 (82B99)", MRnumber = "2201312 (2006i:91053)", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "Russian Journal of Mathematical Physics", } @Article{Melo:2005:EPC, author = "Cesar A. V. Melo and Nelson L. S. da Fonseca", title = "Envelope process and computation of the equivalent bandwidth of multifractal flows", journal = j-COMP-NET-AMSTERDAM, volume = "48", number = "3", pages = "351--375", day = "21", month = jun, year = "2005", CODEN = "????", ISSN = "1389-1286 (print), 1872-7069 (electronic)", ISSN-L = "1389-1286", bibdate = "Thu Jul 14 17:03:08 MDT 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compnetamsterdam2000.bib; http://www.sciencedirect.com/science/journal/13891286", acknowledgement = ack-nhfb, } @Article{Oku:2005:DMC, author = "Naohiko Oku and Kenya Murase and Kazuo Kitagawa and Yasuyuki Kimura and Katsufumi Kajimoto and Ashik Bin Anser and Makiko Tanaka and Hiroki Katoh and Masatsugu Hori and Jun Hatazawa and others", title = "Diagnosis of mild cognitive impairment using fractal analysis in {CBF SPECT}", journal = j-J-CEREB-BLOOD-FLOW-METAB, volume = "25", number = "1s", pages = "S357--S357", day = "15", month = jul, year = "2005", CODEN = "JCBMDN", DOI = "http://dx.doi.org/10.1038/sj.jcbfm.9591524.0357", ISSN = "0271-678X (print), 1559-7016 (electronic)", ISSN-L = "0271-678X", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/jcbfm/journal/v25/n1s/full/9591524.0357a.html", acknowledgement = ack-nhfb, } @Article{Schilling:2005:RBC, author = "Ren{\'e} L. Schilling", title = "Review: {{\booktitle{Fractals and Chaos. The Mandelbrot Set and beyond}} by Beno{\^\i}t B. Mandelbrot}", journal = j-MATH-GAZ, volume = "89", number = "514", pages = "168--168", month = mar, year = "2005", CODEN = "MAGAAS", ISSN = "0025-5572", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/3620693", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", } @Article{Shlyk:2005:SSE, author = "V. A. Shlyk", title = "He has scratched the surface of everything: on the eightieth birthday of {Beno{\^\i}t Mandelbrot}", journal = "Izv. Chelyabinsk. Nauchn. Tsentra", volume = "3", number = "29", pages = "107--124", month = "????", year = "2005", CODEN = "????", ISSN = "1727-7434", MRclass = "01A70", MRnumber = "2191830", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Izvestiya Chelyabinskogo Nauchnogo Tsentra. Proceedings of the Chelyabinsk Scientific Center", } @Article{Veitch:2005:MTI, author = "Darryl Veitch and Nicolas Hohn and Patrice Abry", title = "Multifractality in {TCP\slash IP} traffic: the case against", journal = j-COMP-NET-AMSTERDAM, volume = "48", number = "3", pages = "293--313", day = "21", month = jun, year = "2005", CODEN = "????", ISSN = "1389-1286 (print), 1872-7069 (electronic)", ISSN-L = "1389-1286", bibdate = "Thu Jul 14 17:03:08 MDT 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compnetamsterdam2000.bib; http://www.sciencedirect.com/science/journal/13891286", acknowledgement = ack-nhfb, } @Article{Winslett:2005:CFS, author = "Marianne Winslett", title = "{Christos Faloutsos} speaks out: on power laws, fractals, the future of data mining, sabbaticals, and more", journal = j-SIGMOD, volume = "34", number = "4", pages = "85--89", month = dec, year = "2005", CODEN = "SRECD8", ISSN = "0163-5808 (print), 1943-5835 (electronic)", ISSN-L = "0163-5808", bibdate = "Wed Dec 28 05:56:34 MST 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/sigmod.bib", acknowledgement = ack-nhfb, fjournal = "SIGMOD Record (ACM Special Interest Group on Management of Data)", } @Article{Wong:2005:FEF, author = "Angeline Wong and Leejay Wu and Phillip B. Gibbons and Christos Faloutsos", title = "Fast estimation of fractal dimension and correlation integral on stream data", journal = j-INFO-PROC-LETT, volume = "93", number = "2", pages = "91--97", day = "31", month = jan, year = "2005", CODEN = "IFPLAT", ISSN = "0020-0190 (print), 1872-6119 (electronic)", ISSN-L = "0020-0190", bibdate = "Thu Mar 31 18:40:58 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/infoproc2000.bib; http://www.sciencedirect.com/science/journal/00200190", acknowledgement = ack-nhfb, fjournal = "Information Processing Letters", } @Article{Agop:2006:GTF, author = "M. Agop and I. Gottlieb", title = "Gravitation theory in a fractal space-time", journal = j-J-MATH-PHYS, volume = "47", number = "5", pages = "053503", month = may, year = "2006", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.2196747", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Wed Oct 26 09:04:18 MDT 2011", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v47/i5/p053503_s1", acknowledgement = ack-nhfb, onlinedate = "5 May 2006", pagecount = "17", } @Article{Anonymous:2006:FF, author = "Anonymous", title = "Fractal Feat", journal = j-SCIENCE, volume = "312", number = "5781", pages = "1712--1712", day = "23", month = jun, year = "2006", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.312.5781.1712l", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/312/5781/1712.12.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Bourke:2006:IAF, author = "Paul Bourke", title = "An introduction to the {Apollonian} fractal", journal = j-COMPUTERS-AND-GRAPHICS, volume = "30", number = "1", pages = "134--136", month = feb, year = "2006", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2005.10.017", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:41:52 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S0097849305002189", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Eftekhari:2006:SED, author = "Ali Eftekhari and Mahmood Kazemzad and Mansoor Keyanpour-Rad", title = "Significant Effect of Dopant Size on Nanoscale Fractal Structure of Polypyrrole Film", journal = "Polymer Journal", volume = "38", number = "8", pages = "781--785", day = "30", month = jun, year = "2006", CODEN = "????", DOI = "http://dx.doi.org/10.1295/polymj.PJ2005173", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/pj/journal/v38/n8/abs/pj2006105a.html", acknowledgement = ack-nhfb, } @Article{Gaite:2006:CSZ, author = "Jos{\'e} Gaite", title = "Cut-out sets and the {Zipf} law for fractal voids", journal = "Phys. D", volume = "223", number = "2", pages = "248--255", month = "????", year = "2006", CODEN = "PDNPDT", DOI = "http://dx.doi.org/10.1016/j.physd.2006.09.021", ISSN = "0167-2789 (print), 1872-8022 (electronic)", MRclass = "28A80", MRnumber = "2307212", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "Physica D. Nonlinear Phenomena", } @Article{Imre:2006:AFD, author = "Attila R. Imre", title = "Artificial fractal dimension obtained by using perimeter--area relationship on digitalized images", journal = j-APPL-MATH-COMP, volume = "173", number = "1", pages = "443--449", day = "1", month = feb, year = "2006", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2005.04.042", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Sat Jul 12 09:02:52 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300305003644", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Izsak:2006:MLE, author = "F. Izs{\'a}k", title = "Maximum likelihood estimation for constrained parameters of multinomial distributions --- application to {Zipf--Mandelbrot} models", journal = j-COMPUT-STAT-DATA-ANAL, volume = "51", number = "3", pages = "1575--1583", month = "????", year = "2006", CODEN = "CSDADW", DOI = "http://dx.doi.org/10.1016/j.csda.2006.05.008", ISSN = "0167-9473 (print), 1872-7352 (electronic)", ISSN-L = "0167-9473", MRnumber = "2307527", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "Computational Statistics \& Data Analysis", } @Article{Jones-Smith:2006:FAR, author = "Katherine Jones-Smith and Harsh Mathur", title = "Fractal Analysis: Revisiting {Pollock}'s drip paintings", journal = j-NATURE, volume = "444", number = "7119", pages = "E9--E10", day = "29", month = nov, year = "2006", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/nature05398", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v444/n7119/full/nature05398.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Kohler:2006:OSA, author = "Eddie Kohler and Jinyang Li and Vern Paxson and Scott Shenker", title = "Observed structure of addresses in {IP} traffic", journal = j-IEEE-TRANS-NETWORKING, volume = "14", number = "6", pages = "1207--1218", month = dec, year = "2006", CODEN = "IEANEP", ISSN = "1063-6692 (print), 1558-2566 (electronic)", ISSN-L = "1063-6692", bibdate = "Thu Jun 19 09:53:08 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib", abstract = "We investigate the structure of addresses contained in IPv4 traffic--specifically, the structural characteristics of destination IP addresses seen on Internet links, considered as a subset of the address space. These characteristics have implications for algorithms that deal with IP address aggregates, such as routing lookups and aggregate-based congestion control. Several example address structures are well modeled by multifractal Cantor-like sets with two parameters. This model may be useful for simulations where realistic IP addresses are preferred. We also develop concise characterizations of address structures, including active aggregate counts and discriminating prefixes. Our structural characterizations are stable over short time scales at a given site, and different sites have visibly different characterizations, so that the characterizations make useful `fingerprints' of the traffic seen at a site. Also, changing traffic conditions, such as worm propagation, significantly alter these fingerprints.", acknowledgement = ack-nhfb, fjournal = "IEEE\slash ACM Transactions on Networking", keywords = "address space; address structures; multifractals; network measurement", } @Article{Kristiansen:2006:BTZ, author = "K. de Lange Kristiansen and G. Helgesen and A. T. Skjeltorp", title = "Braid theory and {Zipf--Mandelbrot} relation used in microparticle dynamics", journal = j-EUR-PHYS-J-B, volume = "51", number = "3", pages = "363--371", month = jun, year = "2006", CODEN = "EPJBFY", DOI = "http://dx.doi.org/10.1140/epjb/e2006-00241-7", ISSN = "1434-6028 (print), 1434-6036 (electronic)", ISSN-L = "1434-6028", bibdate = "Sat Sep 8 18:31:14 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "European Physical Journal B: Condensed Matter and Complex Systems", } @Article{Liu:2006:BRS, author = "Nelson Liu", title = "Book Reviews: a Summary of Multifractal Traffic Modeling", journal = j-IEEE-DISTRIB-SYST-ONLINE, volume = "7", number = "3", pages = "??--??", month = mar, year = "2006", CODEN = "????", ISSN = "1541-4922 (print), 1558-1683 (electronic)", ISSN-L = "1541-4922", bibdate = "Mon Aug 30 23:14:33 MDT 2010", bibsource = "http://computer.org/channels/ds; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeedistribsystonline.bib", URL = "http://csdl.computer.org/comp/mags/ds/2006/03/o3008.pdf", acknowledgement = ack-nhfb, } @Article{Maslov:2006:RZM, author = "V. P. Maslov", title = "A refinement of the {Zipf--Mandelbrot} law and lacunarity in an ideal gas", journal = j-TEORET-MATH-FIZ, volume = "147", number = "3", pages = "511--512", month = "????", year = "2006", CODEN = "TMFZAL", DOI = "http://dx.doi.org/10.1007/s11232-006-0083-8", ISSN = "0564-6162", MRclass = "82B10", MRnumber = "2254729 (2007d:82007)", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "Rossi{\u\i}skaya Akademiya Nauk. Teoreticheskaya i Matematicheskaya Fizika", } @Article{Newkome:2006:NFP, author = "George R. Newkome and Pingshan Wang and Charles N. Moorefield and Tae Joon Cho and Prabhu P. Mohapatra and Sinan Li and Seok-Ho Hwang and Olena Lukoyanova and Luis Echegoyen and Judith A. Palagallo and Violeta Iancu and Saw-Wai Hla", title = "Nanoassembly of a Fractal Polymer: {A} Molecular {`Sierpinski Hexagonal Gasket'}", journal = j-SCIENCE, volume = "312", number = "5781", pages = "1782--1785", day = "23", month = jun, year = "2006", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.1125894", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/312/5781/1782.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Park:2006:UOS, author = "Moongyu Park and John H. Cushman", title = "On upscaling operator-stable {L{\'e}vy} motions in fractal porous media", journal = j-J-COMPUT-PHYS, volume = "217", number = "1", pages = "159--165", day = "1", month = sep, year = "2006", CODEN = "JCTPAH", DOI = "http://dx.doi.org/10.1016/j.jcp.2006.01.027", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:13:23 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib; http://www.sciencedirect.com/science/journal/00219991", URL = "http://www.sciencedirect.com/science/article/pii/S0021999106000362", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", } @Article{Ribeiro:2006:MQA, author = "Vinay J. Ribeiro and Rudolf H. Riedi and Richard G. Baraniuk", title = "Multiscale queueing analysis", journal = j-IEEE-TRANS-NETWORKING, volume = "14", number = "5", pages = "1005--1018", month = oct, year = "2006", CODEN = "IEANEP", ISSN = "1063-6692 (print), 1558-2566 (electronic)", ISSN-L = "1063-6692", bibdate = "Thu Jun 19 09:52:20 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib", abstract = "This paper introduces a new multiscale framework for estimating the tail probability of a queue fed by an arbitrary traffic process. Using traffic statistics at a small number of time scales, our analysis extends the theoretical concept of the critical time scale and provides practical approximations for the tail queue probability. These approximations are non-asymptotic; that is, they apply to any finite queue threshold. While our approach applies to any traffic process, it is particularly apt for long-range-dependent (LRD) traffic. For LRD fractional Brownian motion, we prove that a sparse exponential spacing of time scales yields optimal performance. Simulations with LRD traffic models and real Internet traces demonstrate the accuracy of the approach. Finally, simulations reveal that the marginals of traffic at multiple time scales have a strong influence on queueing that is not captured well by its global second-order correlation in non-Gaussian scenarios.", acknowledgement = ack-nhfb, fjournal = "IEEE\slash ACM Transactions on Networking", keywords = "admission control; critical time scale; fractional Brownian motion; long-range dependence; marginals; multifractals; multiscale; network provisioning; queueing; wavelets", } @Article{Risser:2006:HFN, author = "Laurent Risser and Franck Plourabou{\'e} and Alexandre Steyer and Peter Cloetens and G{\'e}raldine Le Duc and Caroline Fonta and others", title = "From homogeneous to fractal normal and tumorous microvascular networks in the brain", journal = j-J-CEREB-BLOOD-FLOW-METAB, volume = "27", number = "2", pages = "293--303", day = "24", month = may, year = "2006", CODEN = "JCBMDN", DOI = "http://dx.doi.org/10.1038/sj.jcbfm.9600332", ISSN = "0271-678X (print), 1559-7016 (electronic)", ISSN-L = "0271-678X", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/jcbfm/journal/v27/n2/full/9600332a.html", acknowledgement = ack-nhfb, } @Article{Ritter:2006:RTI, author = "Felix Ritter and Christian Hansen and Volker Dicken and Olaf Konrad and Bernhard Preim and Heinz-Otto Peitgen", title = "Real-Time Illustration of Vascular Structures", journal = j-IEEE-TRANS-VIS-COMPUT-GRAPH, volume = "12", number = "5", pages = "877--884", month = sep # "\slash " # oct, year = "2006", CODEN = "ITVGEA", DOI = "http://dx.doi.org/10.1109/TVCG.2006.172", ISSN = "1077-2626 (print), 1941-0506 (electronic), 2160-9306", ISSN-L = "1077-2626", bibdate = "Thu Jul 3 15:20:21 MDT 2008", bibsource = "http://www.computer.org/tvcg/tg2006/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeetransviscomputgraph.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Visualization and Computer Graphics", } @Article{Romera:2006:EAM, author = "M. Romera and G. Pastor and G. Alvarez and F. Montoya", title = "External arguments in the multiple-spiral medallions of the {Mandelbrot} set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "30", number = "3", pages = "460--469", month = jun, year = "2006", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2006.02.010", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:41:53 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S0097849306000690", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Taylor:2006:FAR, author = "R. P. Taylor and A. P. Micolich and D. Jonas", title = "Fractal Analysis: Revisiting {Pollock}'s drip paintings (Reply)", journal = j-NATURE, volume = "444", number = "7119", pages = "E10--E11", day = "29", month = nov, year = "2006", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/nature05399", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v444/n7119/full/nature05399.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Turiel:2006:NME, author = "Antonio Turiel and Conrad J. P{\'e}rez-Vicente and Jacopo Grazzini", title = "Numerical methods for the estimation of multifractal singularity spectra on sampled data: a comparative study", journal = j-J-COMPUT-PHYS, volume = "216", number = "1", pages = "362--390", day = "20", month = jul, year = "2006", CODEN = "JCTPAH", DOI = "http://dx.doi.org/10.1016/j.jcp.2005.12.004", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:13:21 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib; http://www.sciencedirect.com/science/journal/00219991", URL = "http://www.sciencedirect.com/science/article/pii/S0021999105005565", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", } @Article{VanLoocke:2006:SBF, author = "Philip {Van Loocke} and Yannick Joye", title = "Symmetry breaking in fields as a methodology for three-dimensional fractal form generation", journal = j-COMPUTERS-AND-GRAPHICS, volume = "30", number = "5", pages = "843--853", month = oct, year = "2006", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2006.07.026", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:41:54 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S0097849306001324", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Wang:2006:RFS, author = "Xingyuan Wang and Peijun Chang", title = "Research on fractal structure of generalized {M--J} sets utilized {Lyapunov} exponents and periodic scanning techniques", journal = j-APPL-MATH-COMP, volume = "175", number = "2", pages = "1007--1025", day = "15", month = apr, year = "2006", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2005.08.015", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Sat Jul 12 09:02:54 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300305006582", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Zakeri:2006:BPM, author = "Saeed Zakeri", title = "On Biaccessible Points of the {Mandelbrot} Set", journal = j-PROC-AM-MATH-SOC, volume = "134", number = "8", pages = "2239--2250", month = aug, year = "2006", CODEN = "PAMYAR", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.jstor.org/stable/4098261", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", } @Article{Zhu:2006:AFT, author = "Xuegui Zhu and Yi Wang and Jianming Zan and Chuanbing Li", title = "Application of fractal theory in generation and refinement of finite element mesh", journal = j-APPL-MATH-COMP, volume = "175", number = "2", pages = "1039--1045", day = "15", month = apr, year = "2006", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2005.08.017", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Sat Jul 12 09:02:54 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300305006600", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Achdou:2007:TBC, author = "Yves Achdou and Christophe Sabot and Nicoletta Tchou", title = "Transparent boundary conditions for the {Helmholtz} equation in some ramified domains with a fractal boundary", journal = j-J-COMPUT-PHYS, volume = "220", number = "2", pages = "712--739", day = "10", month = jan, year = "2007", CODEN = "JCTPAH", DOI = "http://dx.doi.org/10.1016/j.jcp.2006.05.033", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:13:27 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib; http://www.sciencedirect.com/science/journal/00219991", URL = "http://www.sciencedirect.com/science/article/pii/S0021999106002567", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", } @Article{Alderton:2007:CDF, author = "Gemma K. Alderton", title = "Cell division: Fractal cycling", journal = "Nature Reviews Molecular Cell Biology", volume = "8", number = "11", pages = "850--851", month = nov, year = "2007", CODEN = "????", DOI = "http://dx.doi.org/10.1038/nrm2284", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nrm/journal/v8/n11/full/nrm2284.html", acknowledgement = ack-nhfb, } @Article{Browne:2007:IF, author = "Cameron Browne", title = "Impossible fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "31", number = "4", pages = "659--667", month = aug, year = "2007", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2007.02.016", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:41:56 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S0097849307000799", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Cheskidov:2007:EDF, author = "Alexey Cheskidov and Charles R. Doering and Nikola P. Petrov", title = "Energy dissipation in fractal-forced flow", journal = j-J-MATH-PHYS, volume = "48", number = "6", pages = "065208", month = jun, year = "2007", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.2425101", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Wed Oct 26 09:05:10 MDT 2011", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v48/i6/p065208_s1", acknowledgement = ack-nhfb, onlinedate = "7 June 2007", pagecount = "10", } @Article{Chester:2007:MTF, author = "Stuart Chester and Charles Meneveau and Marc B. Parlange", title = "Modeling turbulent flow over fractal trees with renormalized numerical simulation", journal = j-J-COMPUT-PHYS, volume = "225", number = "1", pages = "427--448", day = "1", month = jul, year = "2007", CODEN = "JCTPAH", DOI = "http://dx.doi.org/10.1016/j.jcp.2006.12.009", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 22:13:38 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib; http://www.sciencedirect.com/science/journal/00219991", URL = "http://www.sciencedirect.com/science/article/pii/S0021999106005997", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", } @Article{Fraysse:2007:GVM, author = "A. Fraysse", title = "Generic Validity of the Multifractal Formalism", journal = j-SIAM-J-MATH-ANA, volume = "39", number = "2", pages = "593--607", month = "????", year = "2007", CODEN = "SJMAAH", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", bibdate = "Wed May 19 06:45:12 MDT 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/39/2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana2000.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", } @Article{Gurevich:2007:MAT, author = "B. M. Gurevich and A. A. Tempelman", title = "Multifractal Analysis of Time Averages for Continuous Vector Functions on Configuration Space", journal = j-THEORY-PROBAB-APPL, volume = "51", number = "1", pages = "78--91", month = "????", year = "2007", CODEN = "TPRBAU", DOI = "http://dx.doi.org/10.1137/S0040585X97982207", ISSN = "0040-585X (print), 1095-7219 (electronic)", ISSN-L = "0040-585X", bibdate = "Wed May 19 18:14:58 MDT 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/51/1; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib", acknowledgement = ack-nhfb, } @Article{Hasumi:2007:ITS, author = "Tomohiro Hasumi", title = "Interoccurrence time statistics in the two-dimensional {Burridge--Knopoff} earthquake model", journal = j-PHYS-REV-E, volume = "76", number = "??", pages = "026117", day = "29", month = aug, year = "2007", CODEN = "PLEEE8", DOI = "http://dx.doi.org/10.1103/PhysRevE.76.026117", ISSN = "1539-3755 (print), 1550-2376 (electronic)", ISSN-L = "1539-3755", bibdate = "Tue Feb 26 06:40:57 MST 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://link.aps.org/doi/10.1103/PhysRevE.76.026117", acknowledgement = ack-nhfb, fjournal = "Physical Review E (Statistical physics, plasmas, fluids, and related interdisciplinary topics)", keywords = "Zipf--Mandelbrot law", } @Article{Narayaninsamy:2007:MCI, author = "T. Narayaninsamy", title = "A method to construct irregular fractal curves", journal = j-APPL-MATH-COMP, volume = "192", number = "1", pages = "260--273", day = "1", month = sep, year = "2007", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2007.02.120", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Sat Jul 12 09:03:08 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300307002925", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Pickstone:2007:BRM, author = "John Pickstone", title = "Book Review: {Margaret Pelling and Scott Mandelbrote (eds.), The Practice of Reform in Health, Medicine, and Science, 1500--2000: Essays for Charles Webster. Aldershot: Ashgate, 2005. Pp. xv + 376. ISBN 0-7546-3933-9. \pounds 60.00 (hardback)}", journal = j-BRITISH-J-HIST-SCI, volume = "40", number = "3", pages = "465--466", month = sep, year = "2007", CODEN = "BJHSAT", DOI = "http://dx.doi.org/10.1017/S0007087407000246", ISSN = "0007-0874 (print), 1474-001X (electronic)", ISSN-L = "0007-0874", bibdate = "Thu Sep 23 07:34:43 MDT 2010", bibsource = "http://journals.cambridge.org/action/displayJournal?jid=BJH; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/bjhs2000.bib", URL = "http://www.jstor.org/stable/4500767", acknowledgement = ack-nhfb, fjournal = "British Journal for the History of Science", } @Article{Singh:2007:VU, author = "Gary Singh", title = "Vamping on Ultrafractal", journal = j-IEEE-CGA, volume = "27", number = "1", pages = "4--5", month = jan # "\slash " # feb, year = "2007", CODEN = "ICGADZ", DOI = "http://dx.doi.org/10.1109/MCG.2007.24", ISSN = "0272-1716 (print), 1558-1756 (electronic)", ISSN-L = "0272-1716", bibdate = "Thu Jul 3 10:16:13 MDT 2008", bibsource = "http://computer.org/cga/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeecga.bib", URL = "http://csdl.computer.org/comp/mags/cg/2007/01/g1004.pdf", acknowledgement = ack-nhfb, fjournal = "IEEE Computer Graphics and Applications", } @Article{Slater:2007:FFR, author = "P. B. Slater", title = "Fractal fits to {Riemann} zeros", journal = j-CAN-J-PHYS, volume = "85", number = "4", pages = "345--357", year = "2007", CODEN = "CJPHAD", DOI = "http://dx.doi.org/10.1139/p07-050", ISSN = "0008-4204 (print), 1208-6045 (electronic)", ISSN-L = "0008-4204", bibdate = "Sat Sep 8 18:28:14 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nrcresearchpress.com/doi/abs/10.1139/p07-050", acknowledgement = ack-nhfb, eprint = "http://www.nrcresearchpress.com/doi/pdf/10.1139/p07-050", fjournal = "Canadian Journal of Physics = Journal canadien de physique", } @Article{Soehle:2007:VFA, author = "Martin Soehle and Marek Czosnyka and Doris A. Chatfield and Andreas Hoeft and Alonso Pe{\~n}a", title = "Variability and fractal analysis of middle cerebral artery blood flow velocity and arterial blood pressure in subarachnoid hemorrhage", journal = j-J-CEREB-BLOOD-FLOW-METAB, volume = "28", number = "1", pages = "64--73", day = "2", month = may, year = "2007", CODEN = "JCBMDN", DOI = "http://dx.doi.org/10.1038/sj.jcbfm.9600506", ISSN = "0271-678X (print), 1559-7016 (electronic)", ISSN-L = "0271-678X", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/jcbfm/journal/v28/n1/full/9600506a.html", acknowledgement = ack-nhfb, } @Article{Uthayakumar:2007:ACF, author = "R. Uthayakumar and P. Paramanathan", title = "An algorithm for computing fractal dimension of rectifiable irregular graphs", journal = j-APPL-MATH-COMP, volume = "190", number = "1", pages = "305--308", day = "1", month = jul, year = "2007", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2007.01.048", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Sat Jul 12 09:03:06 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300307000501", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Wang:2007:APG, author = "Xing-yuan Wang and Pei-jun Chang and Ni-ni Gu", title = "Additive perturbed generalized {Mandelbrot--Julia} sets", journal = j-APPL-MATH-COMP, volume = "189", number = "1", pages = "754--765", day = "1", month = jun, year = "2007", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2006.11.137", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Sat Jul 12 09:03:05 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300306016535", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Xingyuan:2007:VGF, author = "Wang Xingyuan and Yu Xuejing", title = "Visualizing generalized $3 x + 1$ function dynamics based on fractal", journal = j-APPL-MATH-COMP, volume = "188", number = "1", pages = "234--243", day = "1", month = may, year = "2007", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2006.07.168", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Sat Jul 12 09:03:04 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300306013439", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Korkut:2008:GFI, author = "Luka Korkut and Domagoj Vlah and Darko {\v{Z}}ubrini{\'c} and Vesna {\v{Z}}upanovi{\'c}", title = "Generalized {Fresnel} integrals and fractal properties of related spirals", journal = j-APPL-MATH-COMP, volume = "206", number = "1", pages = "236--244", day = "1", month = dec, year = "2008", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2008.09.009", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Fri Sep 3 10:53:23 MDT 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300308006723", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Book{Lapidus:2008:SRZ, author = "Michel L. (Michel Laurent) Lapidus", title = "In search of the {Riemann} zeros: strings, fractal membranes and noncommutative spacetimes", publisher = pub-AMS, address = pub-AMS:adr, pages = "xxix + 558", year = "2008", ISBN = "0-8218-4222-6", ISBN-13 = "978-0-8218-4222-5", LCCN = "QA333 .L37 2008", bibdate = "Fri Aug 14 21:10:27 MDT 2009", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Riemann surfaces; functions, zeta; string models; number theory; fractals; space and time; geometry", } @Article{Liao:2008:FBR, author = "Iman Yi Liao and Maria Petrou and Rongchun Zhao", title = "A fractal-based relaxation algorithm for shape from terrain image", journal = j-COMP-VIS-IMAGE-UNDERSTANDING, volume = "109", number = "3", pages = "227--243", month = mar, year = "2008", CODEN = "CVIUF4", ISSN = "1077-3142 (print), 1090-235X (electronic)", bibdate = "Sat Apr 2 10:55:54 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/cvgip.bib; http://www.sciencedirect.com/science/journal/10773142", acknowledgement = ack-nhfb, fjournal = "Computer Vision and Image Understanding", } @Article{Ma:2008:PLS, author = "D. Ma and A. D. Stoica and X.-L. Wang", title = "Power-law scaling and fractal nature of medium-range order in metallic glasses", journal = j-NATURE-MATERIALS, volume = "8", number = "1", pages = "30--34", day = "7", month = dec, year = "2008", CODEN = "NMAACR", DOI = "http://dx.doi.org/10.1038/nmat2340", ISSN = "1476-1122 (print), 1476-4660 (electronic)", ISSN-L = "1476-1122", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nmat/journal/v8/n1/full/nmat2340.html", acknowledgement = ack-nhfb, ajournal = "Nat. Mater.", fjournal = "Nature Materials", } @Article{Maccari:2008:CFC, author = "Attilio Maccari", title = "Chaotic, fractal, and coherent solutions for a new integrable system of equations in $2 + 1$ dimensions", journal = j-J-MATH-PHYS, volume = "49", number = "2", pages = "022702", month = feb, year = "2008", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.2840915", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Wed Oct 26 09:05:45 MDT 2011", bibsource = "http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v49/i2/p022702_s1", acknowledgement = ack-nhfb, onlinedate = "12 February 2008", pagecount = "14", } @Article{McIntyre-Mills:2008:MBM, author = "Janet J. McIntyre-Mills", title = "{M{\"o}bius} bands and {Mandelbrot} sets as metaphors for systemic praxis", journal = "Systems Research and Behavioral Science", volume = "25", number = "2", pages = "323--329", month = mar, year = "2008", CODEN = "????", DOI = "http://dx.doi.org/10.1002/sres.889", ISSN = "????", bibdate = "Mon Sep 10 06:10:51 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, onlinedate = "29 Jul 2008", } @Article{Paramanathan:2008:ACF, author = "P. Paramanathan and R. Uthayakumar", title = "An algorithm for computing the fractal dimension of waveforms", journal = j-APPL-MATH-COMP, volume = "195", number = "2", pages = "598--603", day = "1", month = feb, year = "2008", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2007.05.011", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Sat Jul 12 09:03:10 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300307005899", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Romera:2008:DCE, author = "M. Romera and G. Alvarez and D. Arroyo and A. B. Orue and V. Fernandez and G. Pastor", title = "Drawing and computing external rays in the multiple-spiral medallions of the {Mandelbrot} set", journal = j-COMPUTERS-AND-GRAPHICS, volume = "32", number = "5", pages = "597--610", month = oct, year = "2008", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2008.04.005", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:41:58 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S0097849308000484", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Tsujii:2008:FMT, author = "Kaoru Tsujii", title = "Fractal Materials and Their Functional Properties", journal = "Polymer Journal", volume = "40", number = "9", pages = "785--799", day = "28", month = may, year = "2008", CODEN = "????", DOI = "http://dx.doi.org/10.1295/polymj.PJ2008053", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/pj/journal/v40/n9/abs/pj2008129a.html", acknowledgement = ack-nhfb, } @Article{Wang:2008:INS, author = "Xing-Yuan Wang and Shu-Guo Wang", title = "An improved no-search fractal image coding method based on a modified gray-level transform", journal = j-COMPUTERS-AND-GRAPHICS, volume = "32", number = "4", pages = "445--450", month = aug, year = "2008", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2008.02.004", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:41:57 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S0097849308000320", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Bouboulis:2009:COM, author = "P. Bouboulis", title = "Construction of orthogonal multi-wavelets using generalized-affine fractal interpolation functions", journal = j-IMA-J-APPL-MATH, volume = "74", number = "6", pages = "904--933", month = dec, year = "2009", CODEN = "IJAMDM", DOI = "http://dx.doi.org/10.1093/imamat/hxp027", ISSN = "0272-4960 (print), 1464-3634 (electronic)", ISSN-L = "0272-4960", bibdate = "Tue Mar 16 22:03:39 MDT 2010", bibsource = "http://imamat.oxfordjournals.org/content/vol74/issue6/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/imajapplmath.bib", URL = "http://imamat.oxfordjournals.org/cgi/content/abstract/74/6/904; http://imamat.oxfordjournals.org/cgi/reprint/74/6/904", acknowledgement = ack-nhfb, } @Article{Bourke:2009:ESL, author = "Paul Bourke", title = "Evaluating {Second Life} for the collaborative exploration of {$3$D} fractals", journal = j-COMPUTERS-AND-GRAPHICS, volume = "33", number = "1", pages = "113--117", month = feb, year = "2009", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2008.08.004", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:41:58 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S0097849308000964", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Chakrabarty:2009:FUI, author = "Rajan K. Chakrabarty and Mark A. Garro and Shammah Chancellor and Christopher Herald and Hans Moosm{\"u}ller", title = "{FracMAP}: a user-interactive package for performing simulation and orientation-specific morphology analysis of fractal-like solid nano-agglomerates", journal = j-COMP-PHYS-COMM, volume = "180", number = "8", pages = "1376--1381", month = aug, year = "2009", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/j.cpc.2009.01.026", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 23:42:43 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S0010465509000411", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Feng:2009:FBB, author = "Benjamin Zhong Ming Feng and Changcheng Huang and Michael Devetsikiotis", title = "{FISTE}: a black box approach for end-to-end {QoS} management", journal = j-TOMACS, volume = "19", number = "4", pages = "16:1--16:??", month = oct, year = "2009", CODEN = "ATMCEZ", DOI = "http://doi.acm.org/10.1145/1596519.1596521", ISSN = "1049-3301 (print), 1558-1195 (electronic)", ISSN-L = "1049-3301", bibdate = "Mon Mar 15 09:03:47 MDT 2010", bibsource = "http://www.acm.org/pubs/contents/journals/tomacs/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tomacs.bib", abstract = "The goal of traffic engineering is to achieve a target Quality of Service (QoS) while maximizing network utilization. While determining the QoS for end-to-end paths in a network under self-similar traffic models is difficult, end-to-end network performance analysis is still essential in providing QoS to networks such as Virtual Private Networks (VPN) and Peer-to-Peer (P2P) networks. The Fast Importance Sampling based Traffic Engineering (FISTE) approach proposed in this article is a prediction-based approach that maps the ingress traffic levels of a network to the QoS of end-to-end path(s) in the network. Because FISTE is a hybrid of simulation analysis and closed-form analysis, it can treat a complex network as a black box. When we combined Simulated Annealing (SA) with FISTE, the resulting approach can provide a traffic engineering solution so that multiple end-to-end QoS requirements are satisfied while the network resource utilization is maximized. FISTE originated from the concept of Importance Sampling (IS), and our approach differs from the previous Importance Sampling based approaches since this is the first time that IS is applied to multi-queue systems under Fractional Gaussian Noise (FGN) input and traffic engineering.", acknowledgement = ack-nhfb, articleno = "16", fjournal = "ACM Transactions on Modeling and Computer Simulation", keywords = "buffer overflow; congestion; end-to-end QoS; fractal gaussian noise; heuristic search; importance Sampling; latency; Monte Carlo; Overlay network; packet loss; peer-to-peer; prediction; response surface; self-similar; simulated annealing; traffic engineering; virtual private network", } @Article{Gisin:2009:EEV, author = "Vladimir Gisin and Andrey Markov and Igor Vinukov", title = "Estimation of extreme values of returns using the {Zipf--Mandelbrot} flow", journal = j-INT-J-PURE-APPL-MATH, volume = "50", number = "2", pages = "245--250", month = "????", year = "2009", CODEN = "????", ISSN = "1311-8080", ISSN-L = "1314-3395", MRclass = "60G70 (91B28 91B84)", MRnumber = "2488836", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Pure and Applied Mathematics", } @Article{Grossu:2009:VTE, author = "I. V. Grossu and C. Besliu and M. V. Rusu and Al. Jipa and C. C. Bordeianu and D. Felea", title = "Visual tool for estimating the fractal dimension of images", journal = j-COMP-PHYS-COMM, volume = "180", number = "10", pages = "1999--2001", month = oct, year = "2009", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/j.cpc.2009.05.015", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 23:42:45 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S0010465509001635", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{LaTorre:2009:MVI, author = "D. {La Torre} and E. R. Vrscay and M. Ebrahimi and M. F. Barnsley", title = "Measure-Valued Images, Associated Fractal Transforms, and the Affine Self-Similarity of Images", journal = j-SIAM-J-IMAGING-SCI, volume = "2", number = "2", pages = "470--507", month = "????", year = "2009", CODEN = "SJISBI", ISSN = "1936-4954", MRclass = "28A80 (28B20 62H35 68U10)", MRnumber = "MR2519920", MRreviewer = "Myung-Sin Song", bibdate = "Wed May 19 21:20:46 MDT 2010", bibsource = "http://epubs.siam.org/SIIMS/siims_toc.html/2/2; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjimagingsci.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Imaging Sciences", } @Article{Navarro:2009:UFD, author = "Juan F. Navarro and M. C. Mart{\'\i}nez", title = "Universality of fractal dimension on time-independent {Hamiltonian} systems", journal = j-APPL-MATH-COMP, volume = "214", number = "2", pages = "462--467", day = "15", month = aug, year = "2009", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2009.04.014", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Fri Sep 3 10:53:25 MDT 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300309003415", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Terdik:2009:LFF, author = "Gy{\"o}rgy Terdik and Tibor Gyires", title = "{L{\'e}vy} flights and fractal modeling of {Internet} traffic", journal = j-IEEE-TRANS-NETWORKING, volume = "17", number = "1", pages = "120--129", month = feb, year = "2009", CODEN = "IEANEP", DOI = "http://dx.doi.org/10.1109/TNET.2008.925630", ISSN = "1063-6692 (print), 1558-2566 (electronic)", ISSN-L = "1063-6692", bibdate = "Fri Mar 6 16:31:07 MST 2009", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib", abstract = "The relation between burstiness and self-similarity of network traffic was identified in numerous papers in the past decade. These papers suggested that the widely used Poisson based models were not suitable for modeling bursty, local-area and wide-area network traffic. Poisson models were abandoned as unrealistic and simplistic characterizations of network traffic. Recent papers have challenged the accuracy of these results in today's networks. Authors of these papers believe that it is time to reexamine the Poisson traffic assumption. The explanation is that as the amount of Internet traffic grows dramatically, any irregularity of the network traffic, such as burstiness, might cancel out because of the huge number of different multiplexed flows. Some of these results are based on analyses of particular OC48 Internet backbone connections and other historical traffic traces. We analyzed the same traffic traces and applied new methods to characterize them in terms of packet interarrival times and packet lengths. The major contribution of the paper is the application of two new analytical methods. We apply the theory of smoothly truncated Levy flights and the linear fractal model in examining the variability of Internet traffic from self-similar to Poisson. The paper demonstrates that the series of interarrival times is still close to a self-similar process, but the burstiness of the packet lengths decreases significantly compared to earlier traces.", acknowledgement = ack-nhfb, fjournal = "IEEE\slash ACM Transactions on Networking", keywords = "burstiness; fractal modelling; L{\'e} long-range dependence; network traffic; vy flights", } @Article{Timbo:2009:CCC, author = "C. Timb{\'o} and L. A. R. da Rosa and M. Gon{\c{c}}alves and S. B. Duarte", title = "Computational cancer cells identification by fractal dimension analysis", journal = j-COMP-PHYS-COMM, volume = "180", number = "6", pages = "850--853", month = jun, year = "2009", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/j.cpc.2008.12.011", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 23:42:42 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S0010465508004190", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{VanLoocke:2009:NLI, author = "Philip {Van Loocke}", title = "Non-linear iterated function systems and the creation of fractal patterns over regular polygons", journal = j-COMPUTERS-AND-GRAPHICS, volume = "33", number = "6", pages = "698--704", month = dec, year = "2009", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2009.05.003", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:42:00 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S009784930900082X", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Xingyuan:2009:GMS, author = "Wang Xingyuan and Jia Ruihong and Zhang Zhenfeng", title = "The generalized {Mandelbrot} set perturbed by composing noise of additive and multiplicative", journal = j-APPL-MATH-COMP, volume = "210", number = "1", pages = "107--118", day = "1", month = apr, year = "2009", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2008.12.017", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Fri Sep 3 10:53:24 MDT 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300308009119", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Yu:2009:SFM, author = "Zhibin Yu and Hai Jin", title = "Simple and fast micro-architecture simulation: a trisection {Cantor} fractal approach", journal = j-SIGMETRICS, volume = "37", number = "2", pages = "61--62", month = sep, year = "2009", CODEN = "????", DOI = "http://doi.acm.org/10.1145/1639562.1639586", ISSN = "0163-5999 (print), 1557-9484 (electronic)", bibdate = "Wed Aug 25 07:33:11 MDT 2010", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/sigmetrics.bib", abstract = "Due to the prohibitively long time when detailedly simulating a realistic benchmark to its completion, sampling is frequently used to reduce the simulation time. However, it may often require profiling or iterative simulations to determine the sampling parameters. This paper employs the generation procedure of trisection Cantor set, one classic fractal, to select instructions simulated in detail as an approach to enable a simple and fast micro-architecture simulation. Randomly selected six benchmarks from SPEC CPU2000 are tested on the simulator, CantorSim, which implements the trisection Cantor fractal approach. The results show that it is very easy to use this approach and it can achieve actual average acceleration of 23.4\% over SMARTS [3] while the accuracy only reduces marginally. CantorSims accuracy is validated against the sim-outorder and is accurate in a 3.2\% error margin. Similar CPI relative errors with the same parameter values of experiments on simulators of different processor models indicate that this approach is micro-architecture independent and can be applied to well predict the performance of new micro-architecture design.", acknowledgement = ack-nhfb, fjournal = "ACM SIGMETRICS Performance Evaluation Review", keywords = "cantor set; cycle-accurate simulation; fractal geometry; micro-architecture simulator; performance evaluation", } @Article{Zhao:2009:SNF, author = "Hong Zhao", title = "Some new fractals behaviors in $(2 + 1)$-dimensional integrable system", journal = j-APPL-MATH-COMP, volume = "215", number = "5", pages = "1653--1658", day = "1", month = nov, year = "2009", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2009.07.017", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Fri Sep 3 10:53:25 MDT 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300309006651", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Andreadis:2010:TCPa, author = "Ioannis Andreadis and Theodoros E. Karakasidis", title = "On a topological closeness of perturbed {Mandelbrot} sets", journal = j-APPL-MATH-COMP, volume = "215", number = "10", pages = "3674--3683", day = "15", month = jan, year = "2010", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2009.11.006", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Fri Sep 3 10:53:26 MDT 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300309009801", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Anonymous:2010:BMF, author = "Anonymous", title = "{Beno{\^\i}t Mandelbrot}, fractals pioneer, dies", journal = "United Press International", volume = "??", number = "??", pages = "??--??", day = "16", month = oct, year = "2010", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 11:23:33 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.upi.com/Science_News/2010/10/16/Benoit-Mandelbrot-fractals-pioneer-dies/UPI-11551287266964/", acknowledgement = ack-nhfb, } @Article{Anonymous:2010:BMO, author = "Anonymous", title = "{Beno{\^\i}t Mandelbrot}'s obituary", journal = j-ECONOMIST, volume = "??", number = "??", pages = "??--??", day = "21", month = oct, year = "2010", CODEN = "EONOEH", ISSN = "0013-0613 (print), 1476-8860 (electronic)", ISSN-L = "0013-0613", bibdate = "Mon Sep 10 11:27:02 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.economist.com/node/17305197", acknowledgement = ack-nhfb, fjournal = "The Economist", } @Article{Anonymous:2010:BNF, author = "Anonymous", title = "{BBC} News: `Fractal' mathematician {Beno{\^\i}t Mandelbrot} dies aged 85", journal = "BBC Online", volume = "??", number = "??", pages = "??--??", day = "17", month = oct, year = "2010", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 11:17:18 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.bbc.co.uk/news/world-europe-11560101", acknowledgement = ack-nhfb, } @Article{Anonymous:2010:MFF, author = "Anonymous", title = "{Mandelbrot}, father of fractal geometry, dies", journal = "The Gazette", volume = "??", number = "??", pages = "??--??", day = "16", month = oct, year = "2010", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 11:24:42 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.upi.com/Science_News/2010/10/16/Benoit-Mandelbrot-fractals-pioneer-dies/UPI-11551287266964/", acknowledgement = ack-nhfb, } @Article{Anonymous:2010:SRH, author = "Anonymous", title = "{Sarkozy} rend hommage {\`a} {Mandelbrot}. ({French}) [{[President] Sarkozy} pays homage to {Mandelbrot}]", journal = "Le Figaro", volume = "??", number = "??", pages = "??--??", day = "17", month = oct, year = "2010", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 11:25:32 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.lefigaro.fr/flash-actu/2010/10/16/97001-20101016FILWWW00611-sarkozy-rend-hommage-a-mandelbrot.php", acknowledgement = ack-nhfb, language = "French", } @Article{Ball:2010:MWF, author = "Philip Ball", title = "Material witness: Fractal standstill", journal = j-NATURE-MATERIALS, volume = "9", number = "12", pages = "964--964", day = "23", month = nov, year = "2010", CODEN = "NMAACR", DOI = "http://dx.doi.org/10.1038/nmat2910", ISSN = "1476-1122 (print), 1476-4660 (electronic)", ISSN-L = "1476-1122", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nmat/journal/v9/n12/full/nmat2910.html", acknowledgement = ack-nhfb, ajournal = "Nat. Mater.", fjournal = "Nature Materials", } @InCollection{Barnsley:2010:FT, author = "Michael Barnsley and Louisa Barnsley", title = "Fractal Transformations", crossref = "Lesmoir-Gordon:2010:CIB", chapter = "4", pages = "58--73", year = "2010", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/978-1-84996-485-2", acknowledgement = ack-nhfb, } @Book{Barral:2010:QIE, author = "J. Barral and J. Berestycki and J. Bertoin and others", title = "Quelques interactions entre analyse, probabilit{\'e}s et fractals. ({French}) [{Some} interactions between analysis, probability, and fractals]", publisher = "Soci{\'e}t{\'e} Math{\'e}matique de France", address = "Paris, France", pages = "x + 243", year = "2010", LCCN = "????", bibdate = "Sat Sep 8 15:45:31 MDT 2012", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Introduction by St{\'e}phane Jaffard.", acknowledgement = ack-nhfb, language = "French", } @InCollection{Clarke:2010:CIF, author = "Arthur C. Clarke", title = "The Colours of Infinity --- the Film Script", crossref = "Lesmoir-Gordon:2010:CIB", chapter = "9", pages = "144--172", year = "2010", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/978-1-84996-485-2", acknowledgement = ack-nhfb, } @InCollection{Clarke:2010:EFU, author = "Arthur C. Clarke", title = "Exploring the Fractal Universe", crossref = "Lesmoir-Gordon:2010:CIB", chapter = "2", pages = "24--37", year = "2010", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/978-1-84996-485-2", acknowledgement = ack-nhfb, } @InCollection{Cont:2010:MB, author = "Rama Cont", booktitle = "Encyclopedia of Quantitative Finance", title = "{Mandelbrot, Beno{\^\i}t}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "??--??", year = "2010", DOI = "http://dx.doi.org/10.1002/9780470061602.eqf01006", ISBN = "0-470-06160-X, 0-470-05756-4", ISBN-13 = "978-0-470-06160-2, 978-0-470-05756-8", LCCN = "HG106 .E53 2010", bibdate = "Mon Sep 10 05:54:36 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Four volumes.", acknowledgement = ack-nhfb, bookpages = "xlv + 2032", onlinedate = "15 May 2010", } @Article{Droniou:2010:NMF, author = "J{\'e}r{\^o}me Droniou", title = "A numerical method for fractal conservation laws", journal = j-MATH-COMPUT, volume = "79", number = "269", pages = "95--124", month = jan, year = "2010", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Fri May 14 06:21:04 MDT 2010", bibsource = "http://www.ams.org/mcom/2010-79-269; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib", URL = "http://www.ams.org/journals/mcom/2010-79-269/S0025-5718-09-02293-5/home.html; http://www.ams.org/journals/mcom/2010-79-269/S0025-5718-09-02293-5/S0025-5718-09-02293-5.pdf", acknowledgement = ack-nhfb, } @Book{Dufour:2010:SIH, author = "Jean-Marie Dufour and Jeong-ryeol Kim and Franz C. Palm", title = "Special issue: Heavy tails and {Paretian} distributions in empirical finance: a volume honoring {Beno{\^\i}t Mandelbrot}", volume = "17.2010,2", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "177--282", year = "2010", LCCN = "????", bibdate = "Sat Sep 8 15:45:25 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.gbv.de:20011/gvk", series = "Journal of empirical finance", acknowledgement = ack-nhfb, } @Article{Fiete:2010:SQF, author = "Gregory A. Fiete and Alex de Lozanne", title = "Seeing Quantum Fractals", journal = j-SCIENCE, volume = "327", number = "5966", pages = "652--653", day = "5", month = feb, year = "2010", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.1186118", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/327/5966/652.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @InCollection{Flake:2010:SOS, author = "Gary William Flake and David M. Pennock", title = "Self-organization, Self-regulation, and Self-similarity on the Fractal Web", crossref = "Lesmoir-Gordon:2010:CIB", chapter = "6", pages = "88--119", year = "2010", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/978-1-84996-485-2", acknowledgement = ack-nhfb, } @Article{Gomory:2010:BM, author = "Ralph Gomory", title = "{Beno{\^\i}t Mandelbrot (1924--2010)}", journal = j-NATURE, volume = "468", number = "7322", pages = "378--378", day = "17", month = nov, year = "2010", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/468378a", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:06:18 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v468/n7322/full/468378a.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Gozen:2010:FAR, author = "Irep G{\"o}zen and Paul Dommersnes and Ilja Czolkos and Aldo Jesorka and Tatsiana Lobovkina and Owe Orwar and others", title = "Fractal avalanche ruptures in biological membranes", journal = j-NATURE-MATERIALS, volume = "9", number = "11", pages = "908--912", day = "10", month = oct, year = "2010", CODEN = "NMAACR", DOI = "http://dx.doi.org/10.1038/nmat2854", ISSN = "1476-1122 (print), 1476-4660 (electronic)", ISSN-L = "1476-1122", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nmat/journal/v9/n11/full/nmat2854.html", acknowledgement = ack-nhfb, ajournal = "Nat. Mater.", fjournal = "Nature Materials", } @Article{Grossu:2010:NVV, author = "I. V. Grossu and D. Felea and C. Besliu and Al. Jipa and C. C. Bordeianu and E. Stan and T. Esanu", title = "A new version of {Visual [Basic]} tool for estimating the fractal dimension of images", journal = j-COMP-PHYS-COMM, volume = "181", number = "4", pages = "831--832", month = apr, year = "2010", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/j.cpc.2009.12.005", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 09:54:28 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S001046550900397X", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Hoffman:2010:BMM, author = "Jascha Hoffman", title = "{Beno{\'\i}t Mandelbrot}, Mathematician, Dies at 85", journal = j-NY-TIMES, volume = "??", number = "??", pages = "??--??", day = "16", month = oct, year = "2010", CODEN = "NYTIAO", ISSN = "0362-4331 (print), 1542-667X, 1553-8095", ISSN-L = "0362-4331", bibdate = "Mon Sep 10 11:10:10 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nytimes.com/2010/10/17/us/17mandelbrot.html", acknowledgement = ack-nhfb, fjournal = "New York Times", } @Article{Lesmoir-Gordon:2010:BMO, author = "Nigel Lesmoir-Gordon", title = "{Beno{\^\i}t Mandelbrot} obituary", journal = "The Guardian (London)", volume = "??", number = "??", pages = "??", day = "17", month = oct, year = "2010", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 11:11:44 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.guardian.co.uk/science/2010/oct/17/benoit-mandelbrot-obituary", acknowledgement = ack-nhfb, } @InCollection{Lesmoir-Gordon:2010:FCI, author = "Nigel Lesmoir-Gordon", title = "Filming The Colours of Infinity", crossref = "Lesmoir-Gordon:2010:CIB", chapter = "8", pages = "136--143", year = "2010", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/978-1-84996-485-2", acknowledgement = ack-nhfb, } @Article{Martyn:2010:RRI, author = "Tomasz Martyn", title = "Realistic rendering {$3$D IFS} fractals in real-time with graphics accelerators", journal = j-COMPUTERS-AND-GRAPHICS, volume = "34", number = "2", pages = "167--175", month = apr, year = "2010", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2009.10.001", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:42:00 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S0097849309001150", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{McNally:2010:FGN, author = "James G. McNally and Davide Mazza", title = "Fractal geometry in the nucleus", journal = j-EMBO-J, volume = "29", number = "1", pages = "2--3", day = "6", month = jan, year = "2010", CODEN = "EMJODG", DOI = "http://dx.doi.org/10.1038/emboj.2009.375", ISSN = "0261-4189 (print), 1460-2075 (electronic)", ISSN-L = "0261-4189", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/emboj/journal/v29/n1/full/emboj2009375a.html", acknowledgement = ack-nhfb, ajournal = "EMBO J.", fjournal = "The EMBO Journal", } @Article{Peitgen:2010:BBM, author = "Heinz-Otto Peitgen", title = "{Beno{\^\i}t B. Mandelbrot (1924--2010)}", journal = j-SCIENCE, volume = "330", number = "6006", pages = "926--926", day = "12", month = nov, year = "2010", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.1199471", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:10:06 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/330/6006/926.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Persson:2010:BM, author = "Ulf Persson", title = "{Beno{\^\i}t Mandelbrot} (1924--2010)", journal = "Normat", volume = "58", number = "3", pages = "139--140, 144", month = "????", year = "2010", CODEN = "????", ISSN = "0801-3500", MRclass = "01A70 (28-03 28A80)", MRnumber = "2796999", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Normat. Nordisk Matematisk Tidskrift", } @InCollection{Rood:2010:FLM, author = "Will Rood", title = "Fractal Limits: The {Mandelbrot} Set and the Self-Similar Tilings of {M. C. Escher}", crossref = "Lesmoir-Gordon:2010:CIB", chapter = "5", pages = "74--87", year = "2010", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/978-1-84996-485-2", acknowledgement = ack-nhfb, } @Article{Selinker:2010:NTJ, author = "Mike Selinker", title = "Never Trend Away: {Jonathan Coulton} on {Beno{\^\i}t Mandelbrot}", journal = "Wired Magazine", volume = "??", number = "??", pages = "??--??", day = "18", month = oct, year = "2010", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 11:13:22 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.wired.com/magazine/2010/10/never-trend-away-jonathan-coulton-on-benoit-mandelbrot/", acknowledgement = ack-nhfb, } @InCollection{Stewart:2010:NFG, author = "Ian Stewart", title = "The Nature of Fractal Geometry", crossref = "Lesmoir-Gordon:2010:CIB", chapter = "1", pages = "2--23", year = "2010", bibdate = "Sat Sep 8 15:24:46 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.springerlink.com/content/978-1-84996-485-2", acknowledgement = ack-nhfb, } @Article{Tang:2010:FIR, author = "Xiutao Tang and Cuilu Qu", title = "Facial image recognition based on fractal image encoding", journal = j-BELL-LABS-TECH-J, volume = "15", number = "1", pages = "209--214", month = jun, year = "2010", CODEN = "BLTJFD", DOI = "http://dx.doi.org/10.1002/bltj.20433", ISSN = "1089-7089 (print), 1538-7305 (electronic)", ISSN-L = "1089-7089", bibdate = "Fri Nov 26 18:10:36 MST 2010", bibsource = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/bstj2010.bib", acknowledgement = ack-nhfb, fjournal = "Bell Labs Technical Journal", onlinedate = "17 May 2010", } @Article{Tenner:2010:BMM, author = "Edward Tenner", title = "{Beno{\^\i}t Mandelbrot} the Maverick, 1924--2010", journal = "The Atlantic", volume = "??", number = "??", pages = "??--??", day = "16", month = oct, year = "2010", CODEN = "????", ISSN = "????", bibdate = "Mon Sep 10 11:18:41 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.theatlantic.com/technology/archive/2010/10/benoit-mandelbrot-the-maverick-1924-2010/64684/", acknowledgement = ack-nhfb, } @Article{VanLoocke:2010:CBO, author = "Philip {Van Loocke}", title = "Combination of basic origami with fractal iteration", journal = j-COMPUTERS-AND-GRAPHICS, volume = "34", number = "1", pages = "66--71", month = feb, year = "2010", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2009.04.009", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:42:00 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S0097849309001149", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Wolf:2010:FOH, author = "E. T. Wolf and O. B. Toon", title = "Fractal Organic Hazes Provided an Ultraviolet Shield for Early {Earth}", journal = j-SCIENCE, volume = "328", number = "5983", pages = "1266--1268", day = "4", month = jun, year = "2010", CODEN = "SCIEAS", DOI = "http://dx.doi.org/10.1126/science.1183260", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 8 11:14:33 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.sciencemag.org/content/328/5983/1266.full.pdf", acknowledgement = ack-nhfb, fjournal = "Science", } @Article{Yue:2010:FFR, author = "Hong Yue", title = "A fractal function related to the {John--Nirenberg} inequality for {$Q_\alpha(\mathbb{R}^n)$}", journal = j-CAN-J-MATH, volume = "62", number = "5", pages = "1182--1200", month = oct, year = "2010", CODEN = "CJMAAB", DOI = "http://dx.doi.org/10.4153/CJM-2010-055-x", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "42B35 (28A80 35A23 42C10)", MRnumber = "2730362 (2011j:42043)", MRreviewer = "Yong Lin", bibdate = "Sat Sep 10 15:39:16 MDT 2011", bibsource = "http://cms.math.ca/cjm/v62/; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/canjmath.bib; http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib; MathSciNet database", abstract = "A borderline case function $f$ for $Q_\alpha({\bf R}^n)$ spaces is defined as a Haar wavelet decomposition, with the coefficients depending on a fixed parameter $\beta > 0$. On its support $I_0 = [0,1]^n$, $f(x)$ can be expressed by the binary expansions of the coordinates of $x$. In particular, $f = f_\beta \in Q_\alpha({\bf R}^n)$ if and only if $\alpha < \beta < n/2$, while for $\beta = \alpha$, it was shown by Yue and Dafni that $f$ satisfies a John--Nirenberg inequality for $Q_\alpha({\bf R}^n)$. When $\beta \neq 1$, $f$ is a self-affine function. It is continuous almost everywhere and discontinuous at all dyadic points inside $I_0$. In addition, it is not monotone along any coordinate direction in any small cube. When the parameter $\beta \in (0, 1)$, $f$ is onto from $I_0$ to $[-1/(1 - 2^{-\beta}), 1 / (1 - 2^{-\beta})]$, and the graph of $f$ has a non-integer fractal dimension $n + 1 \beta$.", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", } @Article{Zaanen:2010:HTS, author = "Jan Zaanen", title = "High-temperature superconductivity: The benefit of fractal dirt", journal = j-NATURE, volume = "466", number = "7308", pages = "825--827", day = "11", month = aug, year = "2010", CODEN = "NATUAS", DOI = "http://dx.doi.org/10.1038/466825a", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nature/journal/v466/n7308/full/466825a.html", acknowledgement = ack-nhfb, fjournal = "Nature", } @Article{Andrew:2011:OBM, author = "Alex M. Andrew", title = "Obituary: {Beno{\^\i}t Mandelbrot: 20 November 1924--14 October 2010}", journal = "Kybernetes", volume = "40", number = "1--2", pages = "??--??", month = "????", year = "2011", CODEN = "KBNTA3", ISSN = "0368-492X (print), 1758-7883 (electronic)", bibdate = "Fri Nov 25 07:32:54 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://en.wikipedia.org/wiki/ernst_von_glasersfeld; http://www.boston.com/news/world/europe/articles/2010/11/12/intellectual_ernst_von_glasersf; http://www.emeraldinsight.com/journals.htm?issn=0368-492X&volume=40&issue=1/2&articleid=1921825; http://www.guardian.co.uk/science/2010/oct/17/benoit-mandelbrot-obituary; http://www.math.yale.edu/mandelbrot/; http://www.telegraph.co.uk/news/obituaries/science-obituaries/8069558/benoit-mandelbrot.html", acknowledgement = ack-nhfb, } @Article{Barnsley:2011:EPL, author = "Michael Barnsley and Andrew Vince", title = "The eigenvalue problem for linear and affine iterated function systems", journal = j-LINEAR-ALGEBRA-APPL, volume = "435", number = "12", pages = "3124--3138", day = "15", month = dec, year = "2011", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibdate = "Wed Aug 24 17:37:38 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/linala2010.bib; http://www.sciencedirect.com/science/journal/00243795", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", } @Article{Barnsley:2011:HTF, author = "Michael F. Barnsley and Brendan Harding and Konstantin Igudesman", title = "How to Transform and Filter Images Using Iterated Function Systems", journal = j-SIAM-J-IMAGING-SCI, volume = "4", number = "4", pages = "1001--1028", month = "????", year = "2011", CODEN = "SJISBI", DOI = "http://dx.doi.org/10.1137/100815293", ISSN = "1936-4954", bibdate = "Thu Feb 9 08:09:59 MST 2012", bibsource = "http://epubs.siam.org/SIIMS/siims_toc.html; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjimagingsci.bib", URL = "http://epubs.siam.org/siims/resource/1/sjisbi/v4/i4/p1001_s1", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Imaging Sciences", onlinedate = "October 20, 2011", } @Article{Bawden:2011:BMS, author = "David Bawden", title = "{Beno{\^\i}t Mandelbrot} and the self-similarity of information", journal = j-J-DOC, volume = "67", number = "2", pages = "??--??", month = "????", year = "2011", CODEN = "JDOCAS", ISSN = "0022-0418 (print), 1758-7379 (electronic)", ISSN-L = "0022-0418", bibdate = "Fri Nov 25 07:40:34 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://www.emeraldinsight.com/journals.htm?issn=0022-0418&volume=67&issue=2&articleid=1911717", acknowledgement = ack-nhfb, fjournal = "Journal of Documentation", } @Article{Bouchaud:2011:BMP, author = "Jean-Philippe Bouchaud", title = "{Beno{\^\i}t Mandelbrot}: a personal tribute", journal = j-QUANT-FINANCE, volume = "11", number = "2", pages = "161", month = "????", year = "2011", CODEN = "????", DOI = "http://dx.doi.org/10.1080/14697688.2011.552335", ISSN = "1469-7688 (print), 1469-7696 (electronic)", ISSN-L = "1469-7688", MRclass = "01A70 (91G80)", MRnumber = "2770756", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Quantitative Finance", } @Article{Chang:2011:CGR, author = "Harry M. Chang", title = "Constructing $n$-gram rules for natural language models through exploring the limitation of the {Zipf--Mandelbrot} law", journal = j-COMPUTING, volume = "91", number = "3", pages = "241--264", month = mar, year = "2011", CODEN = "CMPTA2", DOI = "http://dx.doi.org/10.1007/s00607-010-0116-x", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "68T50", MRnumber = "2776088", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0010-485X&volume=91&issue=3; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib; http://www.math.utah.edu/pub/tex/bib/computing.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0010-485X&volume=91&issue=3&spage=241", acknowledgement = ack-nhfb, fjournal = "Computing. Archives for Scientific Computing", } @InCollection{Chu:2011:MSF, author = "Pong P. Chu", booktitle = "Embedded {SoPC} Design with {Nios II} Processor and {VHDL} Examples", title = "{Mandelbrot} Set Fractal Accelerator", chapter = "21", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "637--670", year = "2011", DOI = "http://dx.doi.org/10.1002/9781118146538.ch21", ISBN = "1-118-00888-X (print), 1-118-14653-0 (online)", ISBN-13 = "978-1-118-00888-1 (print), 978-1-118-14653-8 (online)", LCCN = "TK7895.E42 C48 2011", bibdate = "Mon Sep 10 06:07:56 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, bookpages = "xxxi + 703", onlinedate = "23 Sep 2011", } @Article{Cifani:2011:DGM, author = "Simone Cifani and Espen R. Jakobsen and Kenneth H. Karlsen", title = "The discontinuous {Galerkin} method for fractal conservation laws", journal = j-IMA-J-NUMER-ANAL, volume = "31", number = "3", pages = "1090--1122", month = jul, year = "2011", CODEN = "IJNADH", DOI = "http://dx.doi.org/10.1093/imanum/drq006", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", bibdate = "Fri Jul 15 12:37:42 MDT 2011", bibsource = "http://imanum.oxfordjournals.org/content/31/3.toc; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib", URL = "http://imajna.oxfordjournals.org/content/31/3/1090.full.pdf+html", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", onlinedate = "May 26, 2010", } @Article{EstradaGallego:2011:BMG, author = "Fernando {Estrada Gallego}", title = "{Beno{\^\i}t Mandelbrot} (1924--2010): a {Greek} among {Romans}", journal = "History of Economic Ideas", volume = "19", number = "1", pages = "9--14", year = "2011", CODEN = "????", ISSN = "1122-8792 (print), 1724-2169 (electronic)", bibdate = "Sat Sep 8 15:45:25 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.gbv.de:20011/gvk", acknowledgement = ack-nhfb, } @Article{Farmer:2011:UTB, author = "J. Doyne Farmer", title = "The unsmooth trajectory of {Beno{\^\i}t Mandelbrot}", journal = j-QUANT-FINANCE, volume = "11", number = "2", pages = "157--158", month = "????", year = "2011", CODEN = "????", DOI = "http://dx.doi.org/10.1080/14697688.2010.550475", ISSN = "1469-7688 (print), 1469-7696 (electronic)", ISSN-L = "1469-7688", MRclass = "01A70 (91G80)", MRnumber = "2770754", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Quantitative Finance", } @Article{Gonzalez:2011:EDA, author = "S. Gonz{\'a}lez and A. R. Thornton and S. Luding", title = "An event-driven algorithm for fractal cluster formation", journal = j-COMP-PHYS-COMM, volume = "182", number = "9", pages = "1842--1845", month = sep, year = "2011", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/j.cpc.2010.11.010", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Sat Feb 11 10:10:59 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S001046551000456X", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Heckel:2011:IMI, author = "Frank Heckel and Olaf Konrad and Horst Karl Hahn and Heinz-Otto Peitgen", title = "Interactive {$3$D} medical image segmentation with energy-minimizing implicit functions", journal = j-COMPUTERS-AND-GRAPHICS, volume = "35", number = "2", pages = "275--287", month = apr, year = "2011", CODEN = "COGRD2", DOI = "http://dx.doi.org/10.1016/j.cag.2010.12.006", ISSN = "0097-8493 (print), 1873-7684 (electronic)", ISSN-L = "0097-8493", bibdate = "Mon Feb 13 16:42:02 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compgraph.bib; http://www.sciencedirect.com/science/journal/00978493", URL = "http://www.sciencedirect.com/science/article/pii/S0097849310001925", acknowledgement = ack-nhfb, fjournal = "Computers \& Graphics", } @Article{Higgs:2011:IFA, author = "Rowan Higgs", title = "Imaging: Fractal analysis for {CHD} mortality", journal = "Nature Reviews Cardiology", volume = "8", number = "2", pages = "62--62", month = feb, year = "2011", CODEN = "????", DOI = "http://dx.doi.org/10.1038/nrcardio.2010.212", ISSN = "????", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/nrcardio/journal/v8/n2/full/nrcardio.2010.212.html", acknowledgement = ack-nhfb, } @Article{Jaffard:2011:BMM, author = "St{\'e}phane Jaffard", title = "{Beno{\^\i}t Mandelbrot}---in memoriam (1924--2010)", journal = "Gaz. Math.", volume = "127", number = "??", pages = "77--78", month = "????", year = "2011", CODEN = "????", ISSN = "0224-8999", MRclass = "01A70", MRnumber = "2791387", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Gazette des Math{\'e}maticiens", } @Article{Kiani:2011:MPD, author = "Soheila Kiani and Mohsen Ebrahimi Moghaddam", title = "A multi-purpose digital image watermarking using fractal block coding", journal = j-J-SYST-SOFTW, volume = "84", number = "9", pages = "1550--1562", month = sep, year = "2011", CODEN = "JSSODM", DOI = "http://dx.doi.org/10.1016/j.jss.2011.03.019", ISSN = "0164-1212 (print), 1873-1228 (electronic)", ISSN-L = "0164-1212", bibdate = "Mon Feb 6 15:39:22 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/cryptography2010.bib; http://www.math.utah.edu/pub/tex/bib/jsystsoftw.bib; http://www.sciencedirect.com/science/journal/01641212", URL = "http://www.sciencedirect.com/science/article/pii/S0164121211000707", acknowledgement = ack-nhfb, fjournal = "Journal of Systems and Software", } @Article{Kirman:2011:BMV, author = "Alan Kirman", title = "{Beno{\^\i}t Mandelbrot} and the vindication of his ideas", journal = j-QUANT-FINANCE, volume = "11", number = "2", pages = "159--160", month = "????", year = "2011", CODEN = "????", DOI = "http://dx.doi.org/10.1080/14697688.2010.542381", ISSN = "1469-7688 (print), 1469-7696 (electronic)", ISSN-L = "1469-7688", MRclass = "01A70 (91G80)", MRnumber = "2770755", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, fjournal = "Quantitative Finance", } @InCollection{Schleicher:2011:CDM, author = "Dierk Schleicher", title = "Complex dynamics, the {Mandelbrot} set, and {Newton}'s method: or, On useless and useful mathematics", crossref = "Schleicher:2011:IMC", pages = "207--220", year = "2011", DOI = "http://dx.doi.org/10.1007/978-3-642-19533-4_14", bibdate = "Sat Mar 23 16:38:40 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.springer.com/chapter/10.1007/978-3-642-19533-4_14", acknowledgement = ack-nhfb, } @Article{Tang:2011:ESP, author = "Lian Tang and Da Hui Wang", title = "An explanation of the shift parameter {$\rho$} in the {Zipf--Mandelbrot} law", journal = "Beijing Shifan Daxue Xuebao", volume = "47", number = "1", pages = "97--100", month = "????", year = "2011", CODEN = "BSDKDH", ISSN = "0476-0301", MRclass = "94A17", MRnumber = "2807603", bibdate = "Sat Nov 12 09:13:23 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", acknowledgement = ack-nhfb, fjournal = "Beijing Shifan Daxue Xuebao. Ziran Kexue Ban. Journal of Beijing Normal University (Natural Science)", } @Article{Taylor:2011:BMO, author = "Richard Taylor", title = "{Beno{\^\i}t Mandelbrot} [obituary]", journal = j-PHYS-TODAY, volume = "64", number = "6", pages = "63--??", month = jun, year = "2011", CODEN = "PHTOAD", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://link.aip.org/link/phtoad/v64/i6/p63/s1", acknowledgement = ack-nhfb, fjournal = "Physics Today", } @Article{Vailati:2011:FFD, author = "Alberto Vailati and Roberto Cerbino and Stefano Mazzoni and Christopher J. Takacs and David S. Cannell and Marzio Giglio and others", title = "Fractal fronts of diffusion in microgravity open", journal = j-NATURE-COMMUN, volume = "2", number = "4", pages = "290--290", day = "19", month = apr, year = "2011", CODEN = "NCAOBW", DOI = "http://dx.doi.org/10.1038/ncomms1290", ISSN = "2041-1723 (electronic)", ISSN-L = "2041-1723", bibdate = "Sat Sep 8 11:26:27 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.nature.com/ncomms/journal/v2/n4/full/ncomms1290.html", acknowledgement = ack-nhfb, ajournal = "Nat. Commun.", fjournal = "Nature Communications", } @Article{Vallee:2011:BMF, author = "Robert Vall{\'e}e", title = "{Beno{\^\i}t Mandelbrot} --- further notes", journal = "Kybernetes", volume = "40", number = "9--10", pages = "??--??", month = "????", year = "2011", CODEN = "KBNTA3", ISSN = "0368-492X (print), 1758-7883 (electronic)", bibdate = "Fri Nov 25 07:38:10 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://www.emeraldinsight.com/journals.htm?issn=0368-492X&volume=40&issue=9/10&articleid=17003220", acknowledgement = ack-nhfb, } @Article{Adler:2012:FOB, author = "Paulo Adler", title = "Fractals Offer a Better Way to Manage Complex Systems", journal = j-RES-DEV, day = "12", month = nov, year = "2012", CODEN = "REDEEA", ISSN = "0746-9179", bibdate = "Wed Nov 14 12:46:00 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.rdmag.com/articles/2012/11/fractals-offer-better-way-manage-complex-systems", acknowledgement = ack-nhfb, fjournal = "Research \& Development", } @Article{Avellar:2012:NPN, author = "J. Avellar and L. G. S. Duarte and L. A. C. P. da Mota and N. de Melo and J. E. F. Skea", title = "The {Ndynamics} package --- Numerical analysis of dynamical systems and the fractal dimension of boundaries", journal = j-COMP-PHYS-COMM, volume = "183", number = "9", pages = "2019--2020", month = sep, year = "2012", CODEN = "CPHCBZ", DOI = "http://dx.doi.org/10.1016/j.cpc.2012.03.024", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Thu Jun 7 13:25:14 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib; http://www.sciencedirect.com/science/journal/00104655", URL = "http://www.sciencedirect.com/science/article/pii/S0010465512001294", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", } @Article{Barnsley:2012:GBM, author = "Michael F. Barnsley and Michael Frame", title = "Glimpses of {Beno{\^\i}t Mandelbrot} (1924--2010)", journal = j-NAMS, volume = "59", number = "8", pages = "1056--1063", month = sep, year = "2012", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Wed Sep 05 08:38:36 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://www.ams.org/notices/201208/rtx120801056p.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", } @Article{Barnsley:2012:IBB, author = "Michael F. Barnsley and Michael Frame", title = "Influences of {Beno{\^\i}t B. Mandelbrot} on Mathematics", journal = j-NAMS, volume = "59", number = "9", pages = "1208--1221", month = oct, year = "2012", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Tue Oct 23 16:07:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Other contributors are Roger Howe, Ian Stewart, David Mumford, Hillel Furstenberg, Kenneth Falconer, Bruce J. West, Marc-Olivier Coppens, Nathan Cohen, St{\'e}phane Jaffard, and Sir Michael Berry.", URL = "http://www.ams.org/notices/201209/rtx120901208p.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", } @InCollection{Chu:2012:MSF, author = "Pong P. Chu", booktitle = "Embedded {SoPC} Design with {Nios II} Processor and {Verilog} Examples", title = "{Mandelbrot} Set Fractal Accelerator", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "681--714", year = "2012", DOI = "http://dx.doi.org/10.1002/9781118309728.ch22", ISBN = "1-118-01103-1 (print), 1-118-30972-3 (e-book)", ISBN-13 = "978-1-118-01103-4 (print), 978-1-118-30972-8 (e-book)", bibdate = "Sat Sep 08 19:19:12 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", URL = "http://onlinelibrary.wiley.com/doi/10.1002/9781118309728.ch22/summary", acknowledgement = ack-nhfb, onlinedate = "18 MAY 2012", } @Article{deAmo:2012:MAM, author = "Enrique de Amo and Manuel D{\'\i}az Carrillo and Juan Fern{\'a}ndez S{\'a}nchez and Antonio Salmer{\'o}n", title = "Moments and associated measures of copulas with fractal support", journal = j-APPL-MATH-COMP, volume = "218", number = "17", pages = "8634--8644", day = "1", month = may, year = "2012", CODEN = "AMHCBQ", DOI = "http://dx.doi.org/10.1016/j.amc.2012.02.025", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Thu Apr 5 06:00:26 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib; http://www.sciencedirect.com/science/journal/00963003", URL = "http://www.sciencedirect.com/science/article/pii/S0096300312001476", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", } @Article{Dekking:2012:PMP, author = "Michel Dekking", title = "Paperfolding morphisms, planefilling curves, and fractal tiles", journal = j-THEOR-COMP-SCI, volume = "414", number = "1", pages = "20--37", day = "13", month = jan, year = "2012", CODEN = "TCSCDI", DOI = "http://dx.doi.org/10.1016/j.tcs.2011.09.025", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Tue Nov 29 19:11:51 MST 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/tcs2010.bib; http://www.sciencedirect.com/science/journal/03043975", URL = "http://www.sciencedirect.com/science/article/pii/S0304397511008085", acknowledgement = ack-nhfb, fjournal = "Theoretical Computer Science", } @Article{Jorgensen:2012:ESF, author = "Palle E. T. Jorgensen", title = "Ergodic scales in fractal measures", journal = j-MATH-COMPUT, volume = "81", number = "278", pages = "941--955", month = apr, year = "2012", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Sat Feb 4 09:28:39 MST 2012", bibsource = "http://www.ams.org/mcom/2012-81-278; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib", URL = "http://www.ams.org/journals/mcom/2012-81-278/S0025-5718-2011-02517-2; http://www.ams.org/journals/mcom/2012-81-278/S0025-5718-2011-02517-2/S0025-5718-2011-02517-2.pdf", acknowledgement = ack-nhfb, } @Article{Kachanov:2012:CEA, author = "Andre Kachanov and Serge Nikulin and Sveta Bauer and Boris Zimin", title = "Corneal ectasia after excimer surgery and the {Mandelbrot B.} fractal theory in ophthalmology", journal = "Acta Ophthalmologica", volume = "90", number = "s249", pages = "??--??", month = sep, year = "2012", CODEN = "????", DOI = "http://dx.doi.org/10.1111/j.1755-3768.2012.T099.x", ISSN = "????", bibdate = "Mon Sep 10 06:04:42 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, onlinedate = "6 Aug 2012", } @Book{Samuel:2012:IBM, editor = "Nina Samuel and Matthias Bruhn and Jan von Brevern and Juliet Koss and Margarete Pratschke and Wlaldimir Velminski", title = "The islands of {Beno{\^\i}t Mandelbrot}: fractals, chaos, and the materiality of thinking", publisher = "Bard Graduate Center: Decorative Arts, Design History, Material Culture", address = "New Haven, CT, USA", pages = "????", year = "2012", ISBN = "0-300-18643-6", ISBN-13 = "978-0-300-18643-7", LCCN = "Q223 .I85 2012", bibdate = "Sat Sep 8 15:40:11 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", abstract = "Over the past few decades, the ``pictorial turn'' in the natural sciences, prompted by the computer's capacity to produce visual representations, has generated considerable theoretical interest. Poised between their materiality and the abstract level they are meant to convey, scientific images are always intersections of form and meaning. Beno\\^it Mandelbrot (1924-2010), one of the best-known producers of digital images in scientific and industrial research, was particularly curious about the ways in which the materiality of scientific representation was able to influence the development of the ideas and abstractions the images embodied.Using images and objects found in Mandelbrot's office, this book questions the relationship between the visual and scientific reasoning in fractal geometry and chaos theory, among the most popular fields to use digital scientific imagery in the past century. These unpublished materials offer new connections between the material world and that of mathematical ideas. Work by Adrien Douady and Otto R{\"o}ssler provides historical depth to the analysis.", acknowledgement = ack-nhfb, remark = "This catalogue is published in conjunction with the exhibition The Islands of Beno{\^\i}t Mandelbrot: Fractals, Chaos, and the Materiality of Thinking held at the Bard Graduate Center: Decorative Arts, Design History, Material Culture from September 21, 2012 through January 27, 2013.", subject = "Visual communication in science; Exhibitions; Mandelbrot, Beno{\^\i}t B; ART / History / Contemporary (1945-); SCIENCE / Chaotic Behavior in Systems; MATHEMATICS / Topology", } @Article{Werner:2012:MDK, author = "T. R. Werner and T. Gubiec and R. Kutner and D. Sornette", title = "Mechanisms of {Dragon--Kings} Modeling of super-extreme events: An application to the hierarchical {Weierstrass--Mandelbrot} Continuous-time Random Walk", journal = j-EUR-PHYS-J-SPEC-TOP, volume = "205", pages = "27--52", month = "????", year = "2012", CODEN = "????", DOI = "http://dx.doi.org/10.1140/epjst/e2012-01560-0", ISSN = "1951-6355 (print), 1951-6401 (electronic)", ISSN-L = "1951-6355", bibdate = "Sat Sep 8 18:31:14 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, ajournal = "Eur. Phys. J. Special Topics", fjournal = "European Physical Journal --- Special Topics", } @Article{Young:2013:ATL, author = "D. S. Young", title = "Approximate tolerance limits for {Zipf--Mandelbrot} distributions", journal = j-PHYSICA-A, volume = "392", number = "7", pages = "1702--1711", day = "1", month = apr, year = "2013", CODEN = "PHYADX", DOI = "http://dx.doi.org/10.1016/j.physa.2012.11.056", ISSN = "0378-4371 (print), 1873-2119 (electronic)", ISSN-L = "0378-4371", bibdate = "Wed Feb 27 07:32:55 MST 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/benfords-law.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0378437112010497", acknowledgement = ack-nhfb, fjournal = "Physica A. Statistical Mechanics and its Applications", keywords = "Zipf's Law", } %%% ==================================================================== %%% Cross-referenced entries must come last. %%% %%% Entries are sorted by year, and then by citation label: @Book{Luce:1963:HMP, editor = "R. Duncan Luce and Robert R. Bush and Eugene Galanter", booktitle = "Handbook of Mathematical Psychology. {Volume II, Chapters 9--14}", title = "Handbook of Mathematical Psychology. {Volume II, Chapters 9--14}", publisher = pub-WILEY, address = pub-WILEY:adr, year = "1963", LCCN = "????", bibdate = "Thu Feb 28 09:06:25 MST 2013", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Book{Bush:1967:HMP, editor = "Robert R. Bush and Eugene Galanter and R. Duncan Luce", booktitle = "Handbook of Mathematical Psychology. {Volume II, Chapters 9--14}", title = "Handbook of Mathematical Psychology. {Volume II, Chapters 9--14}", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "Second", pages = "vii + 606", year = "1967", LCCN = "????", bibdate = "Thu Feb 28 09:06:25 MST 2013", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Book{Mandelbrot:1975:OFF, author = "Beno{\^\i}t Mandelbrot", booktitle = "Les objets fractals: Forme, hasard et dimension. ({French}) [Fractal objects: form, chance, and dimension]", title = "Les objets fractals: Forme, hasard et dimension. ({French}) [Fractal objects: form, chance, and dimension]", publisher = "Flammarion Editeur", address = "Paris, France", pages = "190 + ii", year = "1975", ISBN = "2-08-210647-0, 2-08-211155-5", ISBN-13 = "978-2-08-210647-4, 978-2-08-211155-3", LCCN = "QA447 .M36 1984", MRclass = "69.00", MRnumber = "0462040 (57 \#2015)", bibdate = "Wed Sep 5 09:26:37 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Nouvelle Biblioth{\`e}que Scientifique.", acknowledgement = ack-nhfb, language = "French", remark = "This is Mandelbrot's first book, and the first on fractals.", } @Proceedings{Allgower:1981:NSN, editor = "E. L. (Eugene L.) Allgower and Klaus Glashoff and Heinz-Otto Peitgen", booktitle = "{Numerical solution of nonlinear equations: proceedings, Bremen, 1980}", title = "{Numerical solution of nonlinear equations: proceedings, Bremen, 1980}", volume = "878", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 440", year = "1981", ISBN = "0-387-10871-8", ISBN-13 = "978-0-387-10871-1", LCCN = "QA3 .L471 no.878; QA3.L471", bibdate = "Wed May 9 09:06:42 MDT 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; library.mit.edu:9909/mit01", series = "Lecture notes in mathematics", acknowledgement = ack-nhfb, remark = "Symposium held July 21-25, 1980, under the sponsorship of the Forschungsschwerpunkt ``Dynamische Systeme'', Universit{\"a}t Bremen, and the W. Blaschke Gesellschaft, Hamburg.", subject = "Differential equations, Nonlinear; Numerical solutions; Congresses", } @Proceedings{Mandelbrot:1984:FAM, editor = "Beno{\^\i}t B. Mandelbrot and Dann E. Passoja", booktitle = "{Fractal aspects of materials: metal and catalyst surfaces, powders and aggregates: extended abstracts}", title = "{Fractal aspects of materials: metal and catalyst surfaces, powders and aggregates: extended abstracts}", volume = "EA--4", publisher = "Materials Research Society", address = "Pittsburgh, PA, USA", pages = "v + 47", year = "1984", LCCN = "QA447 .F72 1984", bibdate = "Mon Sep 10 14:59:48 MDT 2012", bibsource = "clas.caltech.edu:210/INNOPAC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Materials Research Society extended abstracts", acknowledgement = ack-nhfb, remark = "Proceedings of Symposium P, 1984 Fall Meeting of the Materials Research Society, November 26--27, 1984, Boston Marriott Hotel at Copley Place, Boston, Massachusetts.", subject = "Geometry; Congresses; Fractals; Surfaces (Technology)", } @Proceedings{Shlesinger:1984:FPS, editor = "Michael F. Shlesinger and Beno{\^\i}t B. Mandelbrot and Robert J. Rubin", booktitle = "{Fractals in the physical sciences. Proceedings of the Symposium on Fractals in the Physical Sciences, held at the U.S. National Bureau of Standards, Gaithersburg, Maryland, November 21--23, 1983.}", title = "{Fractals in the physical sciences. Proceedings of the Symposium on Fractals in the Physical Sciences, held at the U.S. National Bureau of Standards, Gaithersburg, Maryland, November 21--23, 1983.}", volume = "36(5/6)", publisher = pub-PLENUM, address = pub-PLENUM:adr, pages = "519--921", year = "1984", LCCN = "????", bibdate = "Sat Sep 08 12:33:55 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Journal of Statistical Physics", ZMnumber = "Zbl 0582.00016", acknowledgement = ack-nhfb, } @Proceedings{Laibowitz:1985:FAM, editor = "Robert B. Laibowitz and Beno{\^\i}t B. Mandelbrot and Dann E. Passoja", booktitle = "{Fractal aspects of materials: extended abstracts}", title = "{Fractal aspects of materials: extended abstracts}", volume = "EA--6", publisher = "Materials Research Society", address = "Pittsburgh, PA, USA", pages = "ix + 127", year = "1985", LCCN = "QA447 .F72 1985", bibdate = "Mon Sep 10 14:59:48 MDT 2012", bibsource = "clas.caltech.edu:210/INNOPAC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Materials Research Society extended abstracts", acknowledgement = ack-nhfb, remark = "Proceedings of Symposium N, 1985 Fall Meeting of the Materials Research Society, December 2--4, 1985, Boston Marriott/Copley Place, Boston, Massachusetts.", subject = "Geometry; Congresses; Fractals; Materials", } @Proceedings{Pietronero:1986:FPP, editor = "L. (Luciano) Pietronero and E. (Erio) Tosatti", booktitle = "{Fractals in physics: proceedings of the Sixth Trieste International Symposium on Fractals in Physics, ICTP, Trieste, Italy, July 9--12, 1985}", title = "{Fractals in physics: proceedings of the Sixth Trieste International Symposium on Fractals in Physics, ICTP, Trieste, Italy, July 9--12, 1985}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xii + 476", year = "1986", ISBN = "0-444-86995-6 (U.S.)", ISBN-13 = "978-0-444-86995-1 (U.S.)", LCCN = "QC20.7.G44 I585 1985", bibdate = "Mon Sep 10 16:52:09 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "International Symposium on Fractals in Physics (6th: 1985: Trieste, Italy)", remark = "Sponsored by the International Center for Theoretical Physics (I.C.T.P.).", subject = "Fractals; Congresses; Mathematical physics; Irreversible processes", } @Proceedings{Hurd:1987:FAM, editor = "Alan J. Hurd and David A. Weitz and Beno{\^\i}t B. Mandelbrot", booktitle = "{Fractal aspects of materials: disordered systems}", title = "{Fractal aspects of materials: disordered systems}", volume = "EA--13", publisher = "Materials Research Society", address = "Pittsburgh, PA, USA", pages = "xiii + 208", year = "1987", LCCN = "QA447 .F72 1987", bibdate = "Mon Sep 10 14:59:48 MDT 2012", bibsource = "clas.caltech.edu:210/INNOPAC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Materials Research Society extended abstracts", acknowledgement = ack-nhfb, remark = "Proceedings of Symposium S 1987 fall meeting of the Materials Research Society, December 1--4, 1987, Boston Marriott/Copley Place, Boston, Massachusetts.", subject = "Geometry; Congresses; Fractals; Materials", } @Book{Peitgen:1988:SFI, editor = "Heinz-Otto Peitgen and Dietmar Saupe", booktitle = "The Science of Fractal Images", title = "The Science of Fractal Images", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 312", year = "1988", ISBN = "0-387-96608-0 (New York), 3-540-96608-0 (Berlin)", ISBN-13 = "978-0-387-96608-3 (New York), 978-3-540-96608-1 (Berlin)", LCCN = "QA614.86 .S35 1988", bibdate = "Wed Dec 15 18:08:22 1993", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", acknowledgement = ack-nhfb, crindex = "516.15SCIE", location = "UCT library, barcode 198801941501", } @Proceedings{Weitz:1988:FAM, editor = "David A. Weitz and Leonard M. (Leonard Michael) Sander and Beno{\^\i}t B. Mandelbrot", booktitle = "{Fractal aspects of materials: disordered systems}", title = "{Fractal aspects of materials: disordered systems}", volume = "EA--17", publisher = "Materials Research Society", address = "Pittsburgh, PA, USA", pages = "xv + 356", year = "1988", LCCN = "QA447 .F72 1988", bibdate = "Mon Sep 10 14:59:48 MDT 2012", bibsource = "clas.caltech.edu:210/INNOPAC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Materials Research Society extended abstracts", acknowledgement = ack-nhfb, remark = "From a symposium held November 29--December 2, 1988 by the Materials Research Society.", subject = "Fractals; Congresses; Geometry; Materials", } @Proceedings{Resch:1989:CAC, editor = "Mark Resch and Deborah Williams", booktitle = "Computer Art in Context: SIGGRAPH '89 Art Show Catalog. July 31--August 4, 1989, SIGGRAPH '89, Boston, Massachusetts and June 28--September 5 1989, The Computer Museum, Boston, Massachusetts", title = "Computer Art in Context: {SIGGRAPH} '89 Art Show Catalog. July 31--August 4, 1989, {SIGGRAPH} '89, Boston, Massachusetts and June 28--September 5 1989, The Computer Museum, Boston, Massachusetts", publisher = pub-PERGAMON, address = pub-PERGAMON:adr, pages = "126", year = "1989", CODEN = "????", ISBN = "0-08-037921-4", ISBN-13 = "978-0-08-037921-0", ISSN = "0024-094X (print), 1530-9282 (electronic)", LCCN = "N 7433.8 C66 1989", bibdate = "Mon Oct 04 23:12:15 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Also published as 1989 Supplement to {\em Leonardo: Journal of the International Society for the Arts, Sciences and Technology}.", URL = "http://info.acm.org/pubs/contents/proceedings/graph/", acknowledgement = ack-nhfb, } @Proceedings{Aharony:1990:FPE, editor = "Amnon Aharony and Jens Feder", booktitle = "{Fractals in physics: essays in honour of Beno{\^\i}t B. Mandelbrot: proceedings of the international conference honouring Beno{\^\i}t B. Mandelbrot on his 65th birthday, Vence, France, 1--4 October, 1989}", title = "{Fractals in physics: essays in honour of Beno{\^\i}t B. Mandelbrot: proceedings of the international conference honouring Beno{\^\i}t B. Mandelbrot on his 65th birthday, Vence, France, 1--4 October, 1989}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xii + 400", year = "1990", ISBN = "0-444-88646-X (U.S.)", ISBN-13 = "978-0-444-88646-0 (U.S.)", LCCN = "QC20.7.G44 F73 1990", bibdate = "Mon Sep 10 16:52:09 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, remark = "Reprinted from Physica D, volume 38, nos. 1--3 (1989).", subject = "Fractals; Congresses; Mathematical physics; Mandelbrot, Beno{\^\i}t B", } @Proceedings{Byrnes:1992:PSM, editor = "J. S. Byrnes and Jennifer L. Byrnes and Karl Berry and Kathryn A. Hargreaves", booktitle = "Probabilistic and Stochastic Methods in Analysis, with Applications: Proceedings of the {NATO Advanced Study Institute}", title = "Probabilistic and Stochastic Methods in Analysis, with Applications: Proceedings of the {NATO Advanced Study Institute}", volume = "372", publisher = pub-KLUWER, address = pub-KLUWER:adr, year = "1992", ISBN = "0-7923-1804-8", ISBN-13 = "978-0-7923-1804-0", LCCN = "????", bibdate = "Sun Oct 12 11:00:22 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = ser-NATO-ASI-C, confaddress = "Il Ciocco Resort, Tuscany, Italy", } @Book{Peitgen:1992:CFNb, author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar Saupe", booktitle = "Chaos and Fractals: New Frontiers of Science", title = "Chaos and Fractals: New Frontiers of Science", publisher = pub-SV, address = pub-SV:adr, pages = "xvi + 984", year = "1992", ISBN = "0-387-97903-4, 3-540-97903-4", ISBN-13 = "978-0-387-97903-8, 978-3-540-97903-6", LCCN = "QA614.86 .P43 1992", bibdate = "Wed Dec 15 08:05:28 1993", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/texbook2.bib", note = "With 686 illustrations, 40 in color.", price = "US\$49", acknowledgement = ack-nhfb, } @Book{Barnsley:1993:FE, author = "Michael F. Barnsley", booktitle = "Fractals Everywhere", title = "Fractals Everywhere", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr-B, edition = "Second", pages = "xiv + 531", year = "1993", ISBN = "0-12-079061-0", ISBN-13 = "978-0-12-079061-6", LCCN = "????", bibdate = "Sat Sep 8 13:53:06 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", } @Proceedings{Keevallik:1993:ICP, editor = "Sirje Keevallik and Olavi Karner", booktitle = "{IRS '92: current problems in atmospheric radiation: proceedings of the International Radiation Symposium, Tallinn, Estonia, 3--8 August 1992}", title = "{IRS '92: current problems in atmospheric radiation: proceedings of the International Radiation Symposium, Tallinn, Estonia, 3--8 August 1992}", publisher = "A. Deepak Pub.", address = "Hampton, VA, USA", pages = "xxx + 567", year = "1993", ISBN = "0-937194-28-X", ISBN-13 = "978-0-937194-28-7", LCCN = "QC912.3.I57 1992", bibdate = "Mon Aug 26 10:38:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, sponsor = "Estonian Academy of Sciences; Institute of Astrophysics and Atmospheric Physics. Canadian-Estonian Joint Venture (ASTRODATA).", } @Book{Hirst:1994:FLR, author = "Bill Hirst", booktitle = "Fractal landscapes: from the real world", title = "Fractal landscapes: from the real world", publisher = "Cornerhouse", address = "Manchester, UK", pages = "????", year = "1994", ISBN = "0-948797-24-X (cased), 0-948797-23-1 (paperback)", ISBN-13 = "978-0-948797-24-8 (cased), 978-0-948797-23-1 (paperback)", LCCN = "TR647.H57 A4 1994", bibdate = "Sat Sep 8 15:45:01 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; library.mit.edu:9909/mit01", note = "Photographs by Bill Hirst with an introduction by Beno{\^\i}t Mandelbrot.", price = "\pounds 24.95", acknowledgement = ack-nhfb, remark = "Exhibition catalogue. Illustrations on inside covers.", subject = "Landscape photography; Exhibitions; Nature photography; Fractals", } @Proceedings{Fisher:1995:NAF, editor = "Yuval Fisher", booktitle = "{NATO ASI on Fractal Image Encoding and Analysis: July 8--17, 1995, Trondheim, Norway}", title = "{NATO ASI on Fractal Image Encoding and Analysis: July 8--17, 1995, Trondheim, Norway}", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 368", year = "1995", ISBN = "3-540-63196-8", ISBN-13 = "978-3-540-63196-5", LCCN = "TA1637 .N38 1998", bibdate = "Sat Apr 19 11:43:49 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", acknowledgement = ack-nhfb, bookpages = "xiii + 368", } @Proceedings{IEEE:1995:IPI, editor = "{IEEE}", booktitle = "{ICIP'95: Proceedings, International Conference on Image Processing: October 23--26, 1995, Washington, DC, USA}", title = "{ICIP'95: Proceedings, International Conference on Image Processing: October 23--26, 1995, Washington, DC, USA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "various", year = "1995", ISBN = "0-7803-3122-2 (casebound), 0-8186-7310-9 (softbound), 0-7803-3123-0 (microfiche), 0-7803-2749-7 (CD-ROM)", ISBN-13 = "978-0-7803-3122-8 (casebound), 978-0-8186-7310-8 (softbound), 978-0-7803-3123-5 (microfiche), 978-0-7803-2749-8 (CD-ROM)", LCCN = "TK8315.I222 1995", bibdate = "Sat Apr 19 12:16:07 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib", note = "Three volumes. IEEE catalog number 95CB35819.", acknowledgement = ack-nhfb, } @Proceedings{Bode:1996:PVM, editor = "Arndt Bode and Jack Dongarra and T. Ludwig and V. Sunderam", booktitle = "Parallel virtual machine, {EuroPVM} '96: third European {PVM} conference, Munich, Germany, October 7--9, 1996: proceedings", title = "Parallel virtual machine, {EuroPVM} '96: third European {PVM} conference, Munich, Germany, October 7--9, 1996: proceedings", volume = "1156", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 362", year = "1996", CODEN = "????", ISBN = "3-540-61779-5", ISBN-13 = "978-3-540-61779-2", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA76.58.E975 1996", bibdate = "Sat Apr 19 16:34:54 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", series = ser-LNCS, acknowledgement = ack-nhfb, conflocation = "Munich, Germany; 7-9 Oct. 1996", conftitle = "Parallel Virtual Machine - EuroPVM '96. Third European PVM Conference. Proceedings", corpsource = "Computations and Commun. Res. Labs., NEC Europe Ltd., Sankt Augustin, Germany", keywords = "Parallel computers -- Congresses; Virtual computer systems -- Congresses.", pubcountry = "Germany", treatment = "P Practical", } @Proceedings{Evertsz:1996:FGA, editor = "C. J. G. (Carl J. G.) Evertsz and Heinz-Otto Peitgen and Richard Frederick Voss", booktitle = "{Fractal geometry and analysis: the Mandelbrot festschrift, Cura{\c{c}}ao 1995}", title = "{Fractal geometry and analysis: the Mandelbrot festschrift, Cura{\c{c}}ao 1995}", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "xii + 512", year = "1996", ISBN = "981-02-2434-6", ISBN-13 = "978-981-02-2434-9", ISSN = "0218-348X", LCCN = "QA614.86 .F677 1996", MRclass = "00B30", MRnumber = "1410276 (97c:00059)", bibdate = "Sat Sep 8 15:40:11 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, remark = "Papers from a symposium held Feb. 2-44, 1995, in Cura{\c{c}}ao, Netherlands Antilles, honoring Beno{\^\i}t Mandelbrot's 70th birthday.", subject = "Fractals; Congresses", tableofcontents = "The dynamics of fractals, P. Bak and M. Paczuski \\ Cooperative strategies in formation of complex bacterial patterns, E. Ben-Jacob et al \\ Fractals and the universe, P. H. Coleman \\ Quadtrees, Mandelbrot percolation and modelling of random sets, F. M. Dekking \\ The fractal geometry of the Mandelbrot set 2 --- how to count and how to add, R. L. Devaney \\ Deposition problems, S. F. Edwards \\ Mixing and disorder, E. Guyon \\ The deformation of rocks --- fractals everywhere, H. J. Herrmann et al \\ Distribution of structural properties for percolation clusters, J.-P. Hovi and A. Aharony \\ A continued fraction titbit, M. Keane \\ Scaling properties of the Kuramoto--Sivashinksy equation, J. Li and L. N. Sander \\ Fractals and secondary migration, P. Meakin et al \\ Mandelbrot's economics after a quarter century, P. Mirowski \\ Theoretical concepts for fractal growth and self-organized criticality, L. Pietronero \\ Fractal aspects in polymer science, H. Schiessel and A. Blumen \\ L{\'e}vy flights --- chaotic, turbulent and relativistic, M. F. Shlesinger et al \\ Super Brownian motion is a fractal measure for which the multifractal formalism is invalid, S. J. Taylor \\ and other papers", } @Proceedings{Vijayaraman:1996:PTS, editor = "T. M. Vijayaraman and Alejandro P. Buchmann and C. Mohan and Nandlal L. Sarda", booktitle = "Proceedings of the twenty-second international Conference on Very Large Data Bases, September 3--6, 1996, Mumbai (Bombay), India", title = "Proceedings of the twenty-second international Conference on Very Large Data Bases, September 3--6, 1996, Mumbai (Bombay), India", publisher = pub-MORGAN-KAUFMANN, address = pub-MORGAN-KAUFMANN:adr, pages = "xvi + 603", year = "1996", ISBN = "1-55860-382-4", ISBN-13 = "978-1-55860-382-0", LCCN = "QA76.9D3 I559 1996", bibdate = "Tue Oct 21 15:14:31 MDT 1997", bibsource = "DBLP; http://dblp.uni-trier.de; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, sponsor = "Computer Society of India. VLDB Endowment India.", } @Proceedings{Grisson:1998:CAA, editor = "Scott Grisson and Janet McAndless and Omar Ahmad and Christopher Stapleton and Adele Newton and Celia Pearce and Ryan Ulyate and Rick Parent", booktitle = "Conference abstracts and applications: SIGGRAPH 98, July 14--21, 1998, Orlando, FL", title = "Conference abstracts and applications: {SIGGRAPH} 98, July 14--21, 1998, Orlando, {FL}", publisher = pub-ACM, address = pub-ACM:adr, pages = "332", year = "1998", ISBN = "1-58113-046-5, 1-58113-048-1 (CD-ROM)", ISBN-13 = "978-1-58113-046-1, 978-1-58113-048-5 (CD-ROM)", LCCN = "T385 .S54 1998b", bibdate = "Mon Oct 04 23:28:35 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "ACM order number for CD-ROM: 435984. ACM order number: 435983.", series = j-COMP-GRAPHICS, URL = "http://info.acm.org/pubs/contents/proceedings/graph/", acknowledgement = ack-nhfb, } @Book{Stewart:1998:DJN, author = "Ian Stewart", booktitle = "Dieu joue-t-il aux d{\'e}s ?: les nouvelles math{\'e}matiques du chaos", title = "Dieu joue-t-il aux d{\'e}s ?: les nouvelles math{\'e}matiques du chaos", publisher = "Flammarion", address = "Paris, France", edition = "Second", pages = "vii + 602", year = "1998", ISBN = "2-08-081411-7 (hardcover), 2-08-081302-1 (paperback)", ISBN-13 = "978-2-08-081411-1 (hardcover), 978-2-08-081302-2 (paperback)", LCCN = "????", bibdate = "Sat Sep 8 15:45:31 MDT 2012", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Preface by Beno{\^\i}t Mandelbrot. Translation by Marianne Robert from the English edition. Remarks for the second edition by Marcel Filoche.", acknowledgement = ack-nhfb, } @Proceedings{Dongarra:1999:RAP, editor = "J. J. Dongarra and E. Luque and Tomas Margalef", booktitle = "Recent advances in parallel virtual machine and message passing interface: 6th European {PVM}\slash {MPI} Users' Group Meeting, Barcelona, Spain, September 26--29, 1999: proceedings", title = "Recent advances in parallel virtual machine and message passing interface: 6th European {PVM}\slash {MPI} Users' Group Meeting, Barcelona, Spain, September 26--29, 1999: proceedings", volume = "1697", publisher = pub-SV, address = pub-SV:adr, pages = "xvii + 551", year = "1999", CODEN = "????", ISBN = "3-540-66549-8 (softcover)", ISBN-13 = "978-3-540-66549-6 (softcover)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "QA76.58 E973 1999", bibdate = "Wed Dec 8 06:34:56 MST 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", series = ser-LNCS, acknowledgement = ack-nhfb, alttitle = "PVM/MPI '99", keywords = "Data transmission systems; Parallel computers; Virtual computer systems", } @Book{Frame:2002:FGM, author = "Michael Frame and Beno{\^\i}t B. Mandelbrot", booktitle = "Fractals, graphics, and mathematics education", title = "Fractals, graphics, and mathematics education", publisher = "The Mathematical Association of America (MAA)", address = "Washington, DC", pages = "xiii + 206", year = "2002", ISBN = "0-88385-169-5", ISBN-13 = "978-0-88385-169-2", LCCN = "QA614.86 .F68424 2002", bibdate = "Sat Sep 8 13:05:39 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", note = "Foreword by Lynn Arthur Steen.", series = "MAA notes", URL = "http://www.loc.gov/catdir/description/cam022/2001097388.html; http://www.loc.gov/catdir/toc/cam027/2001097388.html", ZMnumber = "Zbl 1007.00010", acknowledgement = ack-nhfb, classmath = "00A35 (Methodology of mathematics, didactics) 00B10 (Collections of articles of general interest) 28A80 (Fractals) 97-06 (Proceedings of conferences (Mathematics education))", keywords = "Fractals; Graphics; Mathematics education", reviewer = "H. C. F{\"u}nning (Berlin)", tableofcontents = "Part I. Introductory Essays: \\ (1) Some reasons for the effectiveness of fractal geometry in mathematics education \\ (2) Unsolved problems and still emerging concepts \\ (3) Fractals, graphics and mathematics education \\ (4) Mathematics and society in the twentieth century \\ Part II. Classroom Experiences: \\ (5) Teaching fractals and dynamical systems at the Hotchkiss school \\ (6) Reflection on Wada basins: some fractals with a twist \\ (7) Learning and teaching about fractals \\ (8) The fractal geometry of the Mandelbrot set: periods of the bulbs \\ (9) Fractals -- energizing the mathematics classroom \\ (10) Other chaos games \\ (11) Creating and teaching undergraduate courses in fractal geometry: a personal experience \\ (12) Exploring Fractal dimensions by experiment \\ (13) Fractal themes on all levels \\ (14) Art and fractals: artistic explorations of natural self-similarity \\ (15) Order and chaos, art and magic: a first college course in quantitative reasoning based on fractals and chaos \\ (16) A software driven undergraduate fractals course \\ Part III. A Final Word: \\ (17) The fractal ring from art to art through mathematics, finance and the sciences \\ Part IV. Appendices: \\ (18) Panorama of fractals and their uses. An alphabetic workbook-index \\ (19) Reports of some field experiences", tableofcontents-2 = "Some reasons for the effectiveness of fractals in mathematics education / Beno{\^\i}t Mandelbrot. Michael Frame \\ Unsolved problems and still-emerging concepts in fractal geometry \\ Fractals, graphics, and mathematics education \\ Mathematics and society in the 20th century / Beno{\^\i}t Mandelbrot \\ Teaching fractals and dynamical systems at the Hotchkiss school / Melkana Brakalova, David Coughlin \\ Reflecting on wada basins: some fractals with a twist / Dane Camp \\ Learning and teaching about fractals / Donald M. Davis \\ The Fractal geometry of the Mandelbrot set: periods of the bulbs / Robert L. Devaney \\ Fractals: energizing the mathematics classroom / Vicky Fegers, Mary Beth Johnson \\ Other chaos games / Sandy Fillebrown \\ Creating and teaching undergraduate courses and seminars in fractal geometry: a personal experience / Michel Lapidus \\ Exploring fractal dimensions by experiment / Ron Lewis \\ Fractal themes at every level / Kenneth G. Monks \\ Art and fractals: artistic explorations of natural self-similarity / Brianna Murratti, Michael Frame \\ Order and chaos, art and magic: a first college course in quantitative reasoning based on fractals and chaos / David Peak, Michael Frame \\ A Software driven undergraduate fractals course / Douglas C. Ravenel \\ The Fractal ring from art to art through mathematics, finance, and the sciences / Beno{\^\i}t B. Mandelbrot \\ Panorama of fractals and their uses: an alphabetic wordbook-index / Michael Frame, Beno{\^\i}t B. Mandelbrot \\ Report of some field experiences", } @Proceedings{ACM:2003:PTF, editor = "{ACM}", booktitle = "{Proceedings of the Thirty-Fifth ACM Symposium on Theory of Computing, San Diego, CA, USA, June 9--11, 2003}", title = "{Proceedings of the Thirty-Fifth ACM Symposium on Theory of Computing, San Diego, CA, USA, June 9--11, 2003}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xii + 728", year = "2003", ISBN = "1-58113-674-9", ISBN-13 = "978-1-58113-674-6", LCCN = "QA75.5 .A22 2003", bibdate = "Tue Jan 13 06:29:11 2004", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "ACM order number 508030.", acknowledgement = ack-nhfb, } @Proceedings{IEEE:2003:PAI, editor = "{IEEE}", booktitle = "{Proceedings: 44th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2003, 11--14 October 2003, Cambridge, Massachusetts}", title = "{Proceedings: 44th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2003, 11--14 October 2003, Cambridge, Massachusetts}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xiii + 661", year = "2003", CODEN = "ASFPDV", ISBN = "0-7695-2040-5", ISBN-13 = "978-0-7695-2040-7", ISSN = "0272-5428", LCCN = "QA76 .S979 2003", bibdate = "Fri Jul 15 14:29:27 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/focs2000.bib", note = "IEEE Computer Society Order Number PR02040.", URL = "http://ieeexplore.ieee.org/iel5/8767/27770/01238173.pdf; http://ieeexplore.ieee.org/xpl/RecentCon.jsp?punumber=8767&conhome=1000292", acknowledgement = ack-nhfb, } @Book{Rachev:2003:HHT, editor = "Svetlozar T. Rachev", booktitle = "Handbook of heavy tailed distributions in finance", title = "Handbook of heavy tailed distributions in finance", volume = "1", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "xxiv + 680", year = "2003", ISBN = "0-444-50896-1", ISBN-13 = "978-0-444-50896-6", LCCN = "????", bibdate = "Sat Sep 8 17:35:12 MDT 2012", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", series = "Handbooks in Finance", } @Proceedings{Raidl:2003:AEC, editor = "Gunther Raidl", booktitle = "{Applications of evolutionary computing: {EvoWorkshops 2003}: {EvoBIO}, {EvoCOP}, {EvoIASP}, {EvoMUSART}, {EvoROB}, and {EvoSTIM}, Essex, {UK}, April 14--16, 2003: Proceedings}", title = "{Applications of evolutionary computing: {EvoWorkshops 2003}: {EvoBIO}, {EvoCOP}, {EvoIASP}, {EvoMUSART}, {EvoROB}, and {EvoSTIM}, Essex, {UK}, April 14--16, 2003: Proceedings}", volume = "2611", publisher = pub-SV, address = pub-SV:adr, pages = "xxi + 708", year = "2003", CODEN = "LNCSD9", DOI = "????", ISBN = "3-540-00976-0 (softcover)", ISBN-13 = "978-3-540-00976-4 (softcover)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", LCCN = "QA76.618 .E899 2003", bibdate = "Thu Aug 21 09:09:03 MDT 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/lncs.bib", series = ser-LNCS, URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t2611.htm; http://www.springerlink.com/content/978-3-540-00976-4; http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=2611", acknowledgement = ack-nhfb, keywords = "evolutionary computation --- congresses; evolutionary programming (computer science) --- congresses", } @Proceedings{Lapidus:2004:FGAa, editor = "Michel L. Lapidus and Machiel van Frankenhuijsen", booktitle = "{Fractal geometry and applications: a jubilee of Beno{\^\i}t Mandelbrot. Part 1. Proceedings of a Special Session of the Annual Meeting of the American Mathematical Society held in San Diego, CA, January 2002}", title = "{Fractal geometry and applications: a jubilee of Beno{\^\i}t Mandelbrot. Part 1. Proceedings of a Special Session of the Annual Meeting of the American Mathematical Society held in San Diego, CA, January 2002}", volume = "72", publisher = pub-AMS, address = pub-AMS:adr, pages = "xii + 517", year = "2004", ISBN = "0-8218-3637-4 (part 1), 0-8218-3292-1 (set)", ISBN-13 = "978-0-8218-3637-8 (part 1), 978-0-8218-3292-9 (set)", LCCN = "QA325 .F73 2004", MRclass = "28-06 (00B30 28A80 37C45 60-06)", MRnumber = "2109001 (2005g:28001)", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Analysis, number theory, and dynamical systems", series = "Proceedings of Symposia in Pure Mathematics", acknowledgement = ack-nhfb, tableofcontents = "Part I: Fractal geometry and applications --- An introduction to this volume by M. L. Lapidus \\ Cherche Livre \ldots{} et plus si affinit{\'e}\slash Looking for a book \ldots{} and more, if affinity by J. Barral and S. Jaffard \\ Benefiting from fractals by M. Berry \\ Beno{\^\i}t Mandelbrot, wizard of science by M.-O. Coppens \\ Mandelbrot's vision for mathematics by R. L. Devaney \\ Beno{\^\i}t Mandelbrot and York by M. M. Dodson \\ Nul n'entre ici s'il n'est geom{\`e}tre\slash Let no one ignorant of geometry enter here by B. Duplantier \\ A decade of working with a maverick by M. L. Frame \\ Breakfast with Mandelbrot by M. Frantz \\ Old memories by J.-P. Kahane \\ My encounters with Beno{\^\i}t Mandelbrot by D. B. Mumford \\ Fractal geometry and the foundations of physics by L. Nottale \\ Is randomness partially tamed by fractals? by B. Sapoval \\ On knowing Beno{\^\i}t Mandelbrot by J. E. Taylor \\ Analysis: Reflections, ripples and fractals by M. M. France \\ Lacunarity, Minkowski content, and self-similar sets in $\mathbb{R}$ by M. Frantz \\ Fractals and geometric measure theory: Friends and foes by F. Morgan \\ Eigenmeasures, equidistribution, and the multiplicity of $\beta$-expansions by H. Furstenberg and Y. Katznelson \\ Distances on topological self-similar sets by A. Kameyama \\ Energy and laplacian on the Sierpinski gasket by A. Teplyaev \\ Electrical networks, symplectic reductions, and application to the renormalization map of self-similar lattices by C. Sabot \\ Notes on Bernoulli convolutions by B. Solomyak \\ Number theory: Some connections between Bernoulli convolutions and analytic number theory by T. Hilberdink \\ On Davenport expansions by S. Jaffard \\ Hausdorff dimension and diophantine approximation by M. M. Dodson and S. Kristensen \\ Fractality, self-similarity and complex dimensions by M. L. Lapidus and M. van Frankenhuijsen \\ Dynamical systems: The invariant fractals of symplectic piecewise affine elliptic dynamics by B. Kahng \\ Almost sure rotation number of circle endomorphisms by S. Crovisier \\ Kneading determinants and transfer operators in higher dimensions by V. Baladi \\ The spectrum of dimensions for Poincare recurrences for nonuniformly hyperbolic geometric constructions by V. Afraimovich, L. Ramirez, and E. Ugalde \\ A survey of results in random iteration by M. Comerford \\ On fibers and local connectivity of Mandelbrot and multibrot sets by D. Schleicher \\ Part II: Multifractals: Introduction to infinite products of independent random functions (Random multiplicative multifractal measures, part I) by J. Barral and B. B. Mandelbrot \\ Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures (Random multiplicative multifractal measures, part II) by J. Barral and B. B. Mandelbrot \\ Techniques for the study of infinite products of independent random functions (Random multiplicative multifractal measures, part III) by J. Barral \\ Wavelet techniques in multifractal analysis by S. P. Jaffard \\ The 2-microlocal formalism by J. L. Vehel and S. Seuret \\ A vectorial multifractal formalism by J. Peyriere \\ Probability and statistical mechanics: Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries by B. M. Hambly and T. Kumagai \\ Random fractals and Markov processes by Y. Xiao \\ On the scaling limit of planar self-avoiding walk by G. F. Lawler, O. Schramm, and W. Werner \\ Conformal fractal geometry and boundary quantum gravity by B. Duplantier \\ Applications: Self-organized percolation power laws with and without fractal geometry in the etching of random solids by A. Desolneux, B. Sapoval, and A. Baldassarri \\ Nature inspired chemical engineering --- Learning from the fractal geometry of nature in sustainable chemical engineering by M.-O. Coppens \\ Fractal forgeries of nature by F. K. Musgrave", } @Proceedings{Lapidus:2004:FGAb, editor = "Michel L. Lapidus and Machiel van Frankenhuijsen", booktitle = "{Fractal geometry and applications: a jubilee of Beno{\^\i}t Mandelbrot. Part 2. Proceedings of a Special Session of the Annual Meeting of the American Mathematical Society held in San Diego, CA, January 2002}", title = "{Fractal geometry and applications: a jubilee of Beno{\^\i}t Mandelbrot. Part 2. Proceedings of a Special Session of the Annual Meeting of the American Mathematical Society held in San Diego, CA, January 2002}", volume = "72", publisher = pub-AMS, address = pub-AMS:adr, pages = "xii + 574", year = "2004", ISBN = "0-8218-3638-2 (part 2), 0-8218-3292-1 (set)", ISBN-13 = "978-0-8218-3638-5 (part 2), 978-0-8218-3292-9 (set)", LCCN = "QA325 .F73 2004", MRclass = "28-06 (00B30 28A80 37C45 60-06)", MRnumber = "2112118 (2005g:28002)", bibdate = "Wed Sep 5 15:35:17 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", note = "Multifractals, probability and statistical mechanics, applications", series = "Proceedings of Symposia in Pure Mathematics", acknowledgement = ack-nhfb, } @Proceedings{Novak:2004:TPF, editor = "M. M. (Miros{\l}av Micha{\l}) Novak", booktitle = "Thinking in patterns: fractals and related phenomena in nature", title = "Thinking in patterns: fractals and related phenomena in nature", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "xi + 323", year = "2004", ISBN = "981-238-822-2", ISBN-13 = "978-981-238-822-3", LCCN = "QC20.7.F73 T45 2004", bibdate = "Sat Sep 8 15:40:11 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, remark = "This book celebrates Beno{\^\i}t B. Mandelbrot's 80th birthday. The papers in this book are based on presentations at the 8th international conference, Fractal 2004.", subject = "Fractals; Congresses", } @Book{Peitgen:2004:CFN, author = "Heinz-Otto Peitgen and H. (Hartmut) J{\"u}rgens and Dietmar Saupe", booktitle = "Chaos and fractals: new frontiers of science", title = "Chaos and fractals: new frontiers of science", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xiii + 864", year = "2004", ISBN = "0-387-20229-3", ISBN-13 = "978-0-387-20229-7", LCCN = "Q172.5.C45 P45 2004", bibdate = "Fri Mar 9 08:29:55 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0818/2003063341-d.html; http://www.loc.gov/catdir/enhancements/fy0818/2003063341-t.html", acknowledgement = ack-nhfb, subject = "Chaotic behavior in systems; Fractals", } @Proceedings{Carpinteri:2006:IHP, editor = "Alberto Carpinteri and Yiu-Wing Mai and Robert O. Ritchie", booktitle = "{ICF11 2005: honour and plenary lectures presented at the 11th International Conference on Fracture (ICF11), held in Turin, Italy, on March 20--25, 2005}", title = "{ICF11 2005: honour and plenary lectures presented at the 11th International Conference on Fracture (ICF11), held in Turin, Italy, on March 20--25, 2005}", volume = "131(1--2)", publisher = pub-SV, address = pub-SV:adr, pages = "262", year = "2006", DOI = "http://dx.doi.org/10.1007/978-1-4020-5423-5", ISBN = "1-4020-4626-X (cloth), 1-4020-5423-8 (e-book)", ISBN-13 = "978-1-4020-4626-1 (cloth), 978-1-4020-5423-5 (e-book)", LCCN = "TA409 .I44 2005eb", bibdate = "Sat Sep 8 17:38:51 MDT 2012", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib", acknowledgement = ack-nhfb, } @Proceedings{Devaney:2006:CDT, editor = "Robert L. Devaney and Linda Keen", booktitle = "{Complex dynamics: twenty-five years after the appearance of the Mandelbrot set: proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics --- Twenty-five Years after the Appearance of the Mandelbrot Set, June 13--17, 2004, Snowbird, Utah}", title = "{Complex dynamics: twenty-five years after the appearance of the Mandelbrot set: proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics --- Twenty-five Years after the Appearance of the Mandelbrot Set, June 13--17, 2004, Snowbird, Utah}", volume = "396", publisher = pub-AMS, address = pub-AMS:adr, pages = "viii + 206", year = "2006", ISBN = "0-8218-3625-0", ISBN-13 = "978-0-8218-3625-5", ISSN = "0271-4132 (print), 1098-3627 (electronic)", LCCN = "QA614.86.A47 2004", bibdate = "Sat Sep 8 15:45:01 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; library.mit.edu:9909/mit01", series = "Contemporary mathematics", acknowledgement = ack-nhfb, meetingname = "AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics: Twenty-five Years after the Appearance of the Mandelbrot Set (2004 : Snowbird, Utah)", subject = "Mandelbrot sets; Congresses; Dynamics; System theory; Mappings (Mathematics); Domains of holomorphy; Polynomials; Numbers, Complex", tableofcontents = "Indecomposable continua and the Julia sets of rational maps / Douglas K. Childers, John C. Mayer, H. Murat Tungali and E. D. Tymchatyn \\ The Henon family : the complex horseshoe locus and real parameter space / Eric Bedford and John Smillie \\ Baby Mandelbrot sets adorned with halos in families of rational maps / Robert L. Devaney \\ Blowup points and baby Mandelbrot sets for singularly perturbed rational maps / Robert L. Devaney, Matt Holzer and David Uminsky \\ Some remarks on the connectivity of Julia sets for 2-dimensional diffeomorphisms / Romain Dujardin \\ Rigorous numerical studies of the dynamics of polynomial skew products of C$^{}^2$ / Suzanne Lynch Hruska \\ Accumulation points of iterated function systems / Linda Keen and Nikola Lakic \\ Parabolic perturbation of the family $\lambda \tan z$ / Linda Keen and Shenglan Yuan \\ Polynomial vector fields, dessins d'enfants, and circle packings / Kevin M. Pilgrim \\ Siegel disks whose boundaries have only two complementary domains / James T. Rogers, Jr. \\ Non-uniform porosity for a subset of some Julia sets / Kimberly A. Roth \\ The existence of conformal measures for some transcendental meromorphic functions / Bartlomiej Skorulski \\ Open problems / Linda Keen", } @Book{Diebold:2010:KUU, editor = "Francis X. Diebold and Neil A. Doherty and Richard Herring", booktitle = "The known, the unknown, and the unknowable in financial risk management: measurement and theory advancing practice", title = "The known, the unknown, and the unknowable in financial risk management: measurement and theory advancing practice", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "viii + 380", year = "2010", ISBN = "0-691-12883-9 (hardcover)", ISBN-13 = "978-0-691-12883-2 (hardcover)", LCCN = "HD61 .K598 2010", bibdate = "Tue Sep 11 09:53:57 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Financial risk management; Risk management", tableofcontents = "Risk : a decision maker's perspective / Clive W.J. Granger \\ Mild vs. wild randomness : focusing on those risks that matter / Beno{\^\i}t B. Mandelbrot and Nassim Nicholas Taleb \\ The term structure of risk, the role of known and unknown risks, and nonstationary distributions / Riccardo Colacito and Robert F. Engle \\ Crisis and noncrisis risk in financial markets : a unified approach to risk management / Robert H. Litzenberger and David M. Modest \\ What we know, don't know, and can't know about bank risk : a view from the trenches / Andrew Kuritzkes and Til Schuermann \\ Real estate through the ages : the known, the unknown, and the unknowable / Ashok Bardhan and Robert H. Edelstein \\ Reflections on decision-making under uncertainty / Paul R. Kleindorfer \\ On the role of insurance brokers in resolving the known, the unknown, and the unknowable / Neil A. Doherty and Alexander Muermann \\ Insuring against catastrophes / Howard Kunreuther and Mark V. Pauly \\ Managing increased capital markets intensity : the chief financial officer's role in navigating the known, the unknown, and the unknowable / Charles N. Bralver and Daniel Borge \\ The role of corporate governance in coping with risk and unknowns / Kenneth E. Scott \\ Domestic banking problems / Charles A.E. Goodhart \\ Crisis management : the known, the unknown, and the unknowable / Donald L. Kohn \\ Investing in the unknown and unknowable / Richard J. Zeckhauser", } @Book{Lesmoir-Gordon:2010:CIB, editor = "Nigel Lesmoir-Gordon", booktitle = "The colours of infinity: the beauty and power of fractals", title = "The colours of infinity: the beauty and power of fractals", publisher = pub-SV, address = pub-SV:adr, pages = "207", year = "2010", ISBN = "1-84996-485-8", ISBN-13 = "978-1-84996-485-2", LCCN = "QA614.86 .C65 2010", bibdate = "Mon Sep 10 06:44:48 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; z3950.loc.gov:7090/Voyager", note = "with contributions by Ian Stewart, Sir Arthur C. Clarke, Beno{\^\i}t B. Mandelbrot, Michael and Louisa Barnsley, Will Rood, Gary Flake, and David Pennock.", URL = "http://extras.springer.com", acknowledgement = ack-nhfb, subject = "Fractals; Mandelbrot sets", tableofcontents = "The Nature of Fractal Geometry / Ian Stewart \\ Exploring the Fractal Universe / Arthur C. Clarke \\ A Geometry Able to In