%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "1.13",
%%% date = "12 June 2014",
%%% time = "08:35:28 MDT",
%%% filename = "canjmath2010.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 = "04452 10058 51570 484879",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "bibliography, BibTeX, Canadian Journal of
%%% Mathematics, Journal canadien de
%%% math{\'e}matiques",
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%%% docstring = "This is a COMPLETE bibliography of the
%%% Canadian Journal of Mathematics = Journal
%%% canadien de math{\'e}matiques (CODEN CJMAAB,
%%% ISSN 0008-414X (print), 1496-4279
%%% (electronic)), published by the Canadian
%%% Mathematical Society = Soci{\'e}t{\'e}
%%% canadienne de math{\'e}matiques for the
%%% decade 2010--2019.
%%%
%%% Publication began with Volume 1, Number 1, in
%%% 1949. The journal was published quarterly
%%% from 1949 to 1964, and since then, appears
%%% bimonthly in February, April, June, August,
%%% October, and December.
%%%
%%% Articles may be published in either English
%%% or French, and English abstracts are
%%% sometimes provided for articles in French.
%%%
%%% The journal has World-Wide Web sites at
%%%
%%% http://cms.math.ca/cjm/
%%% http://math.ca/Journals/
%%% http://cms.math.ca/Publications/CJM-CMB.html
%%% http://www.utpjournals.com/cjm/cjm.html
%%% http://www.camel.math.ca/CMS/CJM/
%%%
%%% Electronic full text of articles is available
%%% to qualified subscribers, and for older
%%% issues, to anyone.
%%%
%%% At version 1.13, the COMPLETE year coverage
%%% looked like this:
%%%
%%% 2006 ( 1) 2009 ( 1) 2012 ( 57)
%%% 2007 ( 0) 2010 ( 69) 2013 ( 59)
%%% 2008 ( 0) 2011 ( 56) 2014 ( 26)
%%%
%%% Article: 269
%%%
%%% Total entries: 269
%%%
%%% BibTeX citation tags are uniformly chosen as
%%% name:year:abbrev, where name is the family
%%% name of the first author or editor, year is a
%%% 4-digit number, and abbrev is a 3-letter
%%% condensation of important title
%%% words. Citation tags are automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% In this bibliography, entries are sorted in
%%% publication order, using bibsort -byvolume.
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%%% ====================================================================
%%% 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-CAN-J-MATH = "Canadian Journal of Mathematics =
Journal canadien de
math{\'e}matiques"}
%%% ====================================================================
%%% Bibliography entries:
@Article{Chiang:2006:VDT,
author = "Yik-Man Chiang and Mourad E. H. Ismail",
title = "On Value Distribution Theory of Second Order Periodic
{ODE}s, Special Functions and Orthogonal Polynomials",
journal = j-CAN-J-MATH,
volume = "58",
number = "4",
pages = "726--767",
month = aug,
year = "2006",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2006-030-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:13 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v58/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
note = "See \cite{Chiang:2010:EVD}.",
abstract = "We show that the value distribution (complex
oscillation) of solutions of certain periodic second
order ordinary differential equations studied by Bank,
Laine and Langley is closely related to confluent
hypergeometric functions, Bessel functions and Bessel
polynomials. As a result, we give a complete
characterization of the zero-distribution in the sense
of Nevanlinna theory of the solutions for two classes
of the ODEs. Our approach uses special functions and
their asymptotics. New results concerning finiteness of
the number of zeros (finite-zeros) problem of Bessel
and Coulomb wave functions with respect to the
parameters are also obtained as a consequence. We
demonstrate that the problem for the remaining class of
ODEs not covered by the above {``special function
approach''} can be described by a classical Heine
problem for differential equations that admit
polynomial solutions.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bell:2009:MAI,
author = "J. P. Bell and K. G. Hare",
title = "On {$\mathbb{Z}$}-Modules of Algebraic Integers",
journal = j-CAN-J-MATH,
volume = "61",
number = "??",
pages = "264--281",
month = "????",
year = "2009",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2009-013-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:15 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v61/;
http://www.math.utah.edu/pub/tex/bib/canjmath2000.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
note = "See corrigendum \cite{Bell:2012:CMA}.",
abstract = "Let $q$ be an algebraic integer of degree $d \geq 2$.
Consider the rank of the multiplicative subgroup of
${\mathbb C}$^*$$ generated by the conjugates of $q$.
We say $q$ is of $full rank$ if either the rank is $d -
1$ and $q$ has norm $pm 1$, or the rank is $d$. In this
paper we study some properties of ${\mathbb Z}[q]$
where $q$ is an algebraic integer of full rank. The
special cases of when $q$ is a Pisot number and when
$q$ is a Pisot-cyclotomic number are also studied.
There are four main results. (1) If $q$ is an algebraic
integer of full rank and $n$ is a fixed positive
integer, then there are only finitely many $m$ such
that disc $({\mathbb Z}[q$^m$ ]) =$ disc $({\mathbb
Z}[q$^n$ ])$. (2) If $q$ and $r$ are algebraic integers
of degree $d$ of full rank and ${\mathbb Z][q$^n$ ] =
{\mathbb Z}[r$^n$ ]$ for infinitely many $n$, then
either $q = \omega r$^'$$ or $q =$ Norm $(r)$^{{2/d}}$
\omega/r$^{', where r '}$$ is some conjugate of $r$ and
$\omega$ is some root of unity. (3) Let $r$ be an
algebraic integer of degree at most 3. Then there are
at most 40 Pisot numbers $q$ such that ${\mathbb Z}[q]
= {\mathbb Z}[r]$. (4) There are only finitely many
Pisot-cyclotomic numbers of any fixed order.??}",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Anchouche:2010:ABC,
author = "Boudjem{\^a}a Anchouche",
title = "On the asymptotic behavior of complete {K{\"a}hler}
metrics of positive {Ricci} curvature",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "3--18",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-001-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "32Q15 (32Q40)",
MRnumber = "2596939 (2011d:32034)",
MRreviewer = "Jacopo Stoppa",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let ( X,g) be a complete noncompact K{\"a}hler
manifold, of dimension n{\geq}2, with positive Ricci
curvature and of standard type (see the definition
below). N. Mok proved that $X$ can be compactified,
i.e., $X$ is biholomorphic to a quasi-projective
variety. The aim of this paper is to prove that the
L$^2$ holomorphic sections of the line bundle
K$_X^{-q}$ and the volume form of the metric $g$ have
no essential singularities near the divisor at
infinity. As a consequence we obtain a comparison
between the volume forms of the K{\"a}hler metric $g$
and of the Fubini--Study metric induced on $X$. In the
case of dim$_C$ X=2, we establish a relation between
the number of components of the divisor $D$ and the
dimension of the groups H$^i$ ( \overline{X},
\Omega$_{\overline{X}}^1$ ( log D)).",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bouchekif:2010:SSE,
author = "Mohammed Bouchekif and Yasmina Nasri",
title = "Solutions for semilinear elliptic systems with
critical {Sobolev} exponent and {Hardy} potential",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "19--33",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-002-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "35J57 (35B33 35J61)",
MRnumber = "2596940 (2011a:35114)",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper we consider an elliptic system with an
inverse square potential and critical Sobolev exponent
in a bounded domain of \mathbb{R}$^N$. By variational
methods we study the existence results.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Campbell:2010:BRR,
author = "Peter S. Campbell and Monica Nevins",
title = "Branching Rules for Ramified Principal Series
Representations of {$\mathrm{GL}(3)$} over a $p$-adic
Field",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "34--51",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-003-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "20G25 (20G05 22E50)",
MRnumber = "2597022 (2011a:20126)",
MRreviewer = "Maarten Sander Solleveld",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We decompose the restriction of ramified principal
series representations of the $p$-adic group GL(3,k) to
its maximal compact subgroup K=GL(3, $R$). Its
decomposition is dependent on the degree of
ramification of the inducing characters and can be
characterized in terms of filtrations of the Iwahori
subgroup in $K$. We establish several irreducibility
results and illustrate the decomposition with some
examples.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Deng:2010:AAW,
author = "Shaoqiang Deng",
title = "An algebraic approach to weakly symmetric {Finsler}
spaces",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "52--73",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-004-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "53C60 (22E60)",
MRnumber = "2597023 (2011d:53181)",
MRreviewer = "Mihai Anastasiei",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper, we introduce a new algebraic notion,
weakly symmetric Lie algebras, to give an algebraic
description of an interesting class of homogeneous
Riemann--Finsler spaces, weakly symmetric Finsler
spaces. Using this new definition, we are able to give
a classification of weakly symmetric Finsler spaces
with dimensions 2 and 3. Finally, we show that all the
non-Riemannian reversible weakly symmetric Finsler
spaces we find are non-Berwaldian and with vanishing
S-curvature. This means that reversible non-Berwaldian
Finsler spaces with vanishing S-curvature may exist at
large. Hence the generalized volume comparison theorems
due to Z. Shen are valid for a rather large class of
Finsler spaces.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ducrot:2010:PGE,
author = "Arnaud Ducrot and Zhihua Liu and Pierre Magal",
title = "Projectors on the generalized eigenspaces for neutral
functional differential equations in {$L^p$} spaces",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "74--93",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-005-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "47N20 (47Gxx)",
MRnumber = "2597024",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We present the explicit formulas for the projectors on
the generalized eigenspaces associated with some
eigenvalues for linear neutral functional differential
equations (NFDE) in $L^p$ spaces by using integrated
semigroup theory. The analysis is based on the main
result established elsewhere by the authors and results
by Magal and Ruan on non-densely defined Cauchy
problem. We formulate the NFDE as a non-densely defined
Cauchy problem and obtain some spectral properties from
which we then derive explicit formulas for the
projectors on the generalized eigenspaces associated
with some eigenvalues. Such explicit formulas are
important in studying bifurcations in some semi-linear
problems.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kuo:2010:LCG,
author = "Wentang Kuo",
title = "The {Langlands} correspondence on the generic
irreducible constituents of principal series",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "94--108",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-006-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "22E50 (22E35)",
MRnumber = "2597025 (2011b:22029)",
MRreviewer = "Luis Alberto Lomel{\'\i}",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $G$ be a connected semisimple split group over a
$p$-adic field. We establish the explicit link between
principal nilpotent orbits and the irreducible
constituents of principal series in terms of $L$-group
objects.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Li:2010:SHM,
author = "Chi-Kwong Li and Yiu-Tung Poon",
title = "Sum of {Hermitian} matrices with given eigenvalues:
inertia, rank, and multiple eigenvalues",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "109--132",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-007-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "15B57 (15A18)",
MRnumber = "2597026 (2011b:15086)",
MRreviewer = "Julio Ben{\'\i}tez",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $A$ and $B$ be n\times n complex Hermitian (or
real symmetric) matrices with eigenvalues a$_1$ {\geq}
{\ldots} {\geq} a$_n$ and b$_1$ {\geq} {\ldots} {\geq}
b$_n$. All possible inertia values, ranks, and multiple
eigenvalues of $A$ + $B$ are determined. Extension of
the results to the sum of $k$ matrices with k > 2 and
connections of the results to other subjects such as
algebraic combinatorics are also discussed.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Makarov:2010:SAP,
author = "Konstantin A. Makarov and Anna Skripka",
title = "Some applications of the perturbation determinant in
finite {von Neumann} algebras",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "133--156",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-008-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "47A55 (46L10 47A53 47C15)",
MRnumber = "2597027 (2011h:47022)",
MRreviewer = "Oscar F. Bandtlow",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In the finite von Neumann algebra setting, we
introduce the concept of a perturbation determinant
associated with a pair of self-adjoint elements H$_0$
and $H$ in the algebra and relate it to the concept of
the de la Harpe--Skandalis homotopy invariant
determinant associated with piecewise C$^1$-paths of
operators joining H$_0$ and $H$. We obtain an analog of
Krein's formula that relates the perturbation
determinant and the spectral shift function and, based
on this relation, we derive subsequently (i) the
Birman--Solomyak formula for a general non-linear
perturbation, (ii) a universality of a spectral
averaging, and (iii) a generalization of the
Dixmier--Fuglede--Kadison differentiation formula.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Masri:2010:SVC,
author = "Riad Masri",
title = "Special values of class group {$L$}-functions for {CM}
fields",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "157--181",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-009-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11R42 (11F41 11M36)",
MRnumber = "2597028 (2011c:11169)",
MRreviewer = "Siman Wong",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $H$ be the Hilbert class field of a CM number
field $K$ with maximal totally real subfield $F$ of
degree $n$ over Q. We evaluate the second term in the
Taylor expansion at s=0 of the Galois-equivariant
$L$-function $\Theta_{S \infty}(s)$ associated to the
unramified abelian characters of Gal(H/K). This is an
identity in the group ring C[Gal(H/K)] expressing
$\Theta^{(n)}_{S \infty}(0)$ as essentially a linear
combination of logarithms of special values
${\Psi(z_\sigma)}$, where $\Psi: H^n {\rightarrow} R$
is a Hilbert modular function for a congruence subgroup
of $\SL_2(Gal{O}_F)$ and ${z_{\sigma}: \sigma {\in}
Gal(H/K)}$ are CM points on a universal Hilbert modular
variety. We apply this result to express the relative
class number $h_H / h_K$ as a rational multiple of the
determinant of an $(h_K - 1) \times (h_K - 1)$ matrix
of logarithms of ratios of special values
$\Psi(z_\sigma)$, thus giving rise to candidates for
higher analogs of elliptic units. Finally, we obtain a
product formula for $\Psi(z_\sigma)$ in terms of
exponentials of special values of $L$-functions.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Prajs:2010:MAD,
author = "Janusz R. Prajs",
title = "Mutually aposyndetic decomposition of homogeneous
continua",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "182--201",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-010-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "54F15 (54B15)",
MRnumber = "2597029 (2011c:54037)",
MRreviewer = "Leonard R. Rubin",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "A new decomposition, the $mutually aposyndetic
decomposition$ of homogeneous continua into closed,
homogeneous sets is introduced. This decomposition is
respected by homeomorphisms and topologically unique.
Its quotient is a mutually aposyndetic homogeneous
continuum, and in all known examples, as well as in
some general cases, the members of the decomposition
are semi-indecomposable continua. As applications, we
show that hereditarily decomposable homogeneous
continua and path connected homogeneous continua are
mutually aposyndetic. A class of new examples of
homogeneous continua is defined. The mutually
aposyndetic decomposition of each of these continua is
non-trivial and different from Jones' aposyndetic
decomposition.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Tang:2010:IEP,
author = "Lin Tang",
title = "Interior $h^1$ estimates for parabolic equations with
{$\LMO$} coefficients",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "202--217",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-011-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "35K20 (35B65 35R05)",
MRnumber = "2597030 (2011a:35214)",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper we establish $a priori$ h$^1$-estimates
in a bounded domain for parabolic equations with
vanishing LMO coefficients.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Xing:2010:GDC,
author = "Yang Xing",
title = "The general definition of the complex
{Monge--Amp{\`e}re} operator on compact {K{\"a}hler}
manifolds",
journal = j-CAN-J-MATH,
volume = "62",
number = "1",
pages = "218--239",
month = feb,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-012-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "32W20 (32U05 32U20 35Q15)",
MRnumber = "2597031 (2011b:32062)",
MRreviewer = "Norman Levenberg",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We introduce a wide subclass $F(X, \omega)$ of
quasi-plurisubharmonic functions in a compact
K{\"a}hler manifold, on which the complex
Monge--Amp{\`e}re operator is well defined and the
convergence theorem is valid. We also prove that $F(X,
\omega)$ is a convex cone and includes all
quasi-plurisubharmonic functions that are in the
Cegrell class.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Azagra:2010:SOS,
author = "Daniel Azagra and Robb Fry",
title = "A second order smooth variational principle on
{Riemannian} manifolds",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "241--260",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-013-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "58E30 (47J30 49J52)",
MRnumber = "2643041 (2011d:58040)",
MRreviewer = "Salvatore A. Marano",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We establish a second order smooth variational
principle valid for functions defined on (possibly
infinite-dimensional) Riemannian manifolds which are
uniformly locally convex and have a strictly positive
injectivity radius and bounded sectional curvature.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chiang:2010:EVD,
author = "Yik-Man Chiang and Mourad E. H. Ismail",
title = "Erratum to: {On value distribution theory of second
order periodic ODEs, special functions and orthogonal
polynomials [\refcno 2245272]}",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "261--261",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-034-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "34M10 (30D35 33C15 33C47)",
MRnumber = "2643042",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
note = "See \cite{Chiang:2006:VDT}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Goresky:2010:SEC,
author = "Mark Goresky and Robert MacPherson",
title = "On the Spectrum of the Equivariant Cohomology Ring",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "262--283",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-016-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "14L30 (14F43 55N91)",
MRnumber = "2643043 (2011f:14079)",
MRreviewer = "Wenchuan Hu",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "If an algebraic torus $T$ acts on a complex projective
algebraic variety $X$, then the affine scheme Spec
$H_T^*(X; {\bf C})$ associated with the equivariant
cohomology is often an arrangement of linear subspaces
of the vector space ${\rm Spec} H_2^T(X; {\bf C})$. In
many situations the ordinary cohomology ring of $X$ can
be described in terms of this arrangement.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Grbic:2010:SML,
author = "Jelena Grbi{\'c} and Stephen Theriault",
title = "Self-Maps of Low Rank {Lie} Groups at Odd Primes",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "284--304",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-017-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "55P45 (55Q05 57T20)",
MRnumber = "2643044 (2011f:55018)",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let G be a simple, compact, simply-connected Lie group
localized at an odd prime $p$. We study the group of
homotopy classes of self-maps [ $G$, $G$ ] when the
rank of $G$ is low and in certain cases describe the
set of homotopy classes of multiplicative self-maps $H$
[ $G$, $G$ ]. The low rank condition gives $G$ certain
structural properties which make calculations
accessible. Several examples and applications are
given.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{He:2010:ASC,
author = "Hua He and Yunbai Dong and Xianzhou Guo",
title = "Approximation and Similarity Classification of Stably
Finitely Strongly Irreducible Decomposable Operators",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "305--319",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-018-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "47A58 (46L80 47B40)",
MRnumber = "2643045 (2011c:47028)",
MRreviewer = "Chun Lan Jiang",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let {$ {\bf H} $} be a complex separable Hilbert space
and {$ {\bf L}({\bf H}) $} denote the collection of
bounded linear operators on {$ {\bf H} $}. In this
paper, we show that for any operator {$ A \in {\bf
L}({\bf H}) $}, there exists a stably finitely (SI)
decomposable operator {$ A_\epsilon $}, such that {$
||A - A_\epsilon || < \epsilon $} and {$ {\bf A^prime
(A_\epsilon) / {\rm rad} {\bf A}^\prime } (A_\epsilon)
$} is commutative, where {$ {\rm rad} {\bf A}^\prime
(A_\epsilon) $} is the Jacobson radical of {$ {\bf
A}^\prime (A_\epsilon) $}. Moreover, we give a
similarity classification of the stably finitely
decomposable operators that generalizes the result on
similarity classification of Cowen-Douglas operators
given by C. L. Jiang.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Jerrard:2010:SRR,
author = "Robert L. Jerrard",
title = "Some rigidity results related to {Monge--Amp{\`e}re}
functions",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "320--354",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-019-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "49Q15 (35J96 53C24)",
MRnumber = "2643046 (2011c:49082)",
MRreviewer = "David A. Hartenstine",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "The space of Monge-Amp{\`e}re functions, introduced by
J. H. G. Fu, is a space of rather rough functions in
which the map $u$ {\rightarrow} Det $D$$^2$ $u$ is well
defined and weakly continuous with respect to a natural
notion of weak convergence. We prove a rigidity theorem
for Lagrangian integral currents that allows us to
extend the original definition of Monge-Amp{\`e}re
functions. We also prove that if a Monge-Amp{\`e}re
function $u$ on a bounded set {\Omega} {\subset} {\bf
R}$^2$ satisfies the equation Det $D$$^2$ $u$ = 0 in a
particular weak sense, then the graph of $u$ is a
developable surface, and moreover $u$ enjoys somewhat
better regularity properties than an arbitrary
Monge-Amp{\`e}re function of 2 variables.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kral:2010:CRS,
author = "Daniel Kr{\'a}l and Edita M{\'a}{\v{c}}ajov{\'a} and
Attila P{\'o}r and Jean-S{\'e}bastien Sereni",
title = "Characterisation results for {Steiner} triple systems
and their application to edge-colourings of cubic
graphs",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "355--381",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-021-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "05B07 (05C15)",
MRnumber = "2643047 (2011e:05038)",
MRreviewer = "Landang Yuan",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "It is known that a Steiner triple system is projective
if and only if it does not contain the four-triple
configuration $C$$_{14}$. We find three configurations
such that a Steiner triple system is affine if and only
if it does not contain one of these configurations.
Similarly, we characterise Hall triple systems using
two forbidden configurations. Our characterisations
have several interesting corollaries in the area of
edge-colourings of graphs. A cubic graph $G$ is
$S$-edge-colourable for a Steiner triple system $S$ if
its edges can be coloured with points of $S$ in such a
way that the points assigned to three edges sharing a
vertex form a triple in $S$. Among others, we show that
all cubic graphs are $S$-edge-colourable for every
non-projective non-affine point-transitive Steiner
triple system $S$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lu:2010:VMQ,
author = "Rencai L{\"u} and Kaiming Zhao",
title = "{Verma} Modules over Quantum Torus {Lie} Algebras",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "382--399",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-022-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "17B10 (17B67)",
MRnumber = "2643048 (2011g:17020)",
MRreviewer = "Shaobin Tan",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Representations of various one-dimensional central
extensions of quantum tori (called quantum torus Lie
algebras) were studied by several authors. Now we
define a central extension of quantum tori so that all
known representations can be regarded as
representations of the new quantum torus Lie algebras
$L$_q$$. The center of $L$_q$$ now is generally
infinite dimensional. In this paper, {\bf Z} -graded
Verma modules {\bf V} ( ${\phi}$) over $L$_q$$ and
their corresponding irreducible highest weight modules
$V$ ( ${\phi}$) are defined for some linear functions
{\phi}. Necessary and sufficient conditions for $V$ (
${\phi}$) to have all finite dimensional weight spaces
are given. Also necessary and sufficient conditions for
Verma modules {\bf V} ( ${\phi}$) to be irreducible are
obtained.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Prasanna:2010:APC,
author = "Kartik Prasanna",
title = "On {$p$}-adic properties of central {$L$}-values of
quadratic twists of an elliptic curve",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "400--414",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-023-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11G40 (11F67 11G05)",
MRnumber = "2643049 (2011h:11071)",
MRreviewer = "Amir Akbary",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We study $p$-indivisibility of the central values $L$
(1, $E$_d$$) of quadratic twists $E$_d$$ of a
semi-stable elliptic curve $E$ of conductor $N$. A
consideration of the conjecture of Birch and
Swinnerton-Dyer shows that the set of quadratic
discriminants $d$ splits naturally into several
families {\bf F}$_S$, indexed by subsets $S$ of the
primes dividing $N$. Let {\delta}$_S$ = gcd$_{d {\in} F
S}$ $L$ (1, $E$_d$$)$^{alg}$, where $L$ (1,
$E$_d$$)$^{alg}$ denotes the algebraic part of the
central $L$-value, $L$ (1, $E$_d$$). Our main theorem
relates the $p$-adic valuations of {\delta}$_S$ as $S$
varies. As a consequence we present an application to a
refined version of a question of Kolyvagin. Finally we
explain an intriguing (albeit speculative) relation
between Waldspurger packets on {\bf SL$_2$} and
congruences of modular forms of integral and
half-integral weight. In this context, we formulate a
conjecture on congruences of half-integral weight forms
and explain its relevance to the problem of
$p$-indivisibility of $L$-values of quadratic twists.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Sun:2010:CRS,
author = "Shunhua Sun and Dechao Zheng and Changyong Zhong",
title = "Classification of reducing subspaces of a class of
multiplication operators on the {Bergman} space via the
{Hardy} space of the bidisk",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "415--438",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-026-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "47B38 (32A36 46E15 47A15 47B35)",
MRnumber = "2643050 (2011e:47068)",
MRreviewer = "Tomoko Osawa",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper we obtain a complete description of
nontrivial minimal reducing subspaces of the
multiplication operator by a Blaschke product with four
zeros on the Bergman space of the unit disk via the
Hardy space of the bidisk.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Sundhall:2010:HFH,
author = "Marcus Sundh{\"a}ll and Edgar Tchoundja",
title = "On {Hankel} forms of higher weights: the case of
{Hardy} spaces",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "439--455",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-027-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "47B35 (32A35 42B30 46E15)",
MRnumber = "2643051 (2011d:47070)",
MRreviewer = "Richard Rochberg",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper we study bilinear Hankel forms of higher
weights on Hardy spaces in several dimensions. (The
Schatten class Hankel forms of higher weights on
weighted Bergman spaces have already been studied by
Janson and Peetre for one dimension and by Sundh{\"a}ll
for several dimensions). We get a full characterization
of Schatten class Hankel forms in terms of conditions
for the symbols to be in certain Besov spaces. Also,
the Hankel forms are bounded and compact if and only if
the symbols satisfy certain Carleson measure criteria
and vanishing Carleson measure criteria,
respectively.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Yang:2010:CSF,
author = "Tonghai Yang",
title = "The {Chowla--Selberg} formula and the {Colmez}
conjecture",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "456--472",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-028-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11G15 (11F41 11G50)",
MRnumber = "2643052 (2011h:11066)",
MRreviewer = "Philippe G. Michel",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper, we reinterpret the Colmez conjecture on
the Faltings height of CM abelian varieties in terms of
Hilbert (and Siegel) modular forms. We construct an
elliptic modular form involving the Faltings height of
a CM abelian surface and arithmetic intersection
numbers, and prove that the Colmez conjecture for CM
abelian surfaces is equivalent to the cuspidality of
this modular form.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Yun:2010:GMC,
author = "Zhiwei Yun",
title = "{Goresky--MacPherson} calculus for the affine flag
varieties",
journal = j-CAN-J-MATH,
volume = "62",
number = "2",
pages = "473--480",
month = apr,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-029-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "14L30 (55N91)",
MRnumber = "2643053 (2011d:14089)",
MRreviewer = "Ada Boralevi",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We use the fixed point arrangement technique developed
by Goresky and MacPherson to calculate the part of the
equivariant cohomology of the affine flag variety {\bf
Fl}$_G$ generated by degree 2. We use this result to
show that the vertices of the moment map image of {\bf
Fl}$_G$ lie on a paraboloid.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Casals-Ruiz:2010:EAG,
author = "Montserrat Casals-Ruiz and Ilya V. Kazachkov",
title = "Elements of algebraic geometry and the positive theory
of partially commutative groups",
journal = j-CAN-J-MATH,
volume = "62",
number = "3",
pages = "481--519",
month = jun,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-035-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "20F10 (03C10 20F06)",
MRnumber = "2666386 (2011f:20073)",
MRreviewer = "Evgeny I. Timoshenko",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "The first main result of the paper is a criterion for
a partially commutative group G to be a domain. It
allows us to reduce the study of algebraic sets over G
to the study of irreducible algebraic sets, and reduce
the elementary theory of G (of a coordinate group over
G) to the elementary theories of the direct factors of
G (to the elementary theory of coordinate groups of
irreducible algebraic sets). Then we establish normal
forms for quantifier-free formulas over a non-abelian
directly indecomposable partially commutative group H.
Analogously to the case of free groups, we introduce
the notion of a generalised equation and prove that the
positive theory of H has quantifier elimination and
that arbitrary first-order formulas lift from H to H*
F, where F is a free group of finite rank. As a
consequence, the positive theory of an arbitrary
partially commutative group is decidable.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Eriksen:2010:CND,
author = "Eivind Eriksen",
title = "Computing noncommutative deformations of presheaves
and sheaves of modules",
journal = j-CAN-J-MATH,
volume = "62",
number = "3",
pages = "520--542",
month = jun,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-015-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "14D15 (13N10)",
MRnumber = "2666387 (2011e:14016)",
MRreviewer = "Thierry Dana-Picard",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We describe a noncommutative deformation theory for
presheaves and sheaves of modules that generalizes the
commutative deformation theory of these global
algebraic structures and the noncommutative deformation
theory of modules over algebras due to Laudal. In the
first part of the paper, we describe a noncommutative
deformation functor for presheaves of modules on a
small category and an obstruction theory for this
functor in terms of global Hochschild cohomology. An
important feature of this obstruction theory is that it
can be computed in concrete terms in many interesting
cases. In the last part of the paper, we describe a
noncommutative deformation functor for quasi-coherent
sheaves of modules on a ringed space $(X,
\mathcal{A})$. We show that for any good
$\mathcal{A}$-affine open cover $\mathsf{U}$ of $X$,
the forgetful functor $\mathsf{QCoh}\mathcal{A} \to
\mathsf{PreSh}(\mathsf{U}, \mathcal{A})$ induces an
isomorphism of noncommutative deformation functors.
\emph{Applications.} We consider noncommutative
deformations of quasi-coherent $\mathcal{A}$-modules on
$X$ when $(X, \mathcal{A}) = (X, \mathcal{O}_X)$ is a
scheme or $(X, \mathcal{A}) = (X, \mathcal{D})$ is a
D-scheme in the sense of Beilinson and Bernstein. In
these cases, we may use any open affine cover of $X$
closed under finite intersections to compute
noncommutative deformations in concrete terms using
presheaf methods. We compute the noncommutative
deformations of the left $\sh D$_X$ $-module
$\mathcal{D}$_X$ $ when $X$ is an elliptic curve as an
example.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hare:2010:MVS,
author = "Kevin G. Hare",
title = "More variations on the {Sierpi{\'n}ski} sieve",
journal = j-CAN-J-MATH,
volume = "62",
number = "3",
pages = "543--562",
month = jun,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-036-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "28A80 (11R06 28A78)",
MRnumber = "2666388 (2011f:28006)",
MRreviewer = "Maria Moszy{\'n}ska",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "This paper answers a question of Broomhead, Montaldi
and Sidorov about the existence of gaskets of a
particular type related to the Sierpi{\'n}ski sieve.
These gaskets are given by iterated function systems
that do not satisfy the open set condition. We use the
methods of Ngai and Wang to compute the dimension of
these gaskets.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ishii:2010:WFR,
author = "Taku Ishii",
title = "{Whittaker} functions on real semisimple {Lie} groups
of rank two",
journal = j-CAN-J-MATH,
volume = "62",
number = "3",
pages = "563--581",
month = jun,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-030-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11F70 (22E45)",
MRnumber = "2666389 (2011e:11093)",
MRreviewer = "Henry H. Kim",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We give explicit formulas for Whittaker functions on
real semisimple Lie groups of real rank two belonging
to the class one principal series representations. By
using these formulas we compute certain archimedean
zeta integrals.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Konyagin:2010:DP,
author = "Sergei V. Konyagin and Carl Pomerance and Igor E.
Shparlinski",
title = "On the Distribution of Pseudopowers",
journal = j-CAN-J-MATH,
volume = "62",
number = "3",
pages = "582--594",
month = jun,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-020-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11N69 (11L07 11N36)",
MRnumber = "2666390 (2011f:11128)",
MRreviewer = "D. R. Heath-Brown",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "An $x$-pseudopower to base $g$ is a positive integer
that is not a power of $g$, yet is so modulo $p$ for
all primes $ple x$. We improve an upper bound for the
least such number, due to E.~Bach, R.~Lukes,
J.~Shallit, and H.~C.~Williams. The method is based on
a combination of some bounds of exponential sums with
new results about the average behaviour of the
multiplicative order of $g$ modulo prime numbers.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Martinez:2010:LUR,
author = "J. F. Mart{\'\i}nez and A. Molt{\'o} and J. Orihuela
and S. Troyanski",
title = "On locally uniformly rotund renormings in {$C(K)$}
spaces",
journal = j-CAN-J-MATH,
volume = "62",
number = "3",
pages = "595--613",
month = jun,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-037-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46B03 (46B20)",
MRnumber = "2666391 (2011g:46009)",
MRreviewer = "Jarno Talponen",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "A characterization of the Banach spaces of type C(K)
that admit an equivalent locally uniformly rotund norm
is obtained, and a method to apply it to concrete
spaces is developed. As an application the existence of
such renorming is deduced when K is a Namioka--Phelps
compact or for some particular class of Rosenthal
compacta, results which were originally proved with ad
hoc methods.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Pronk:2010:TGO,
author = "Dorette Pronk and Laura Scull",
title = "Translation Groupoids and Orbifold Cohomology",
journal = j-CAN-J-MATH,
volume = "62",
number = "3",
pages = "614--645",
month = jun,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-024-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "55N32 (18D05 19L47 57R18 57S15)",
MRnumber = "2666392 (2011h:55009)",
MRreviewer = "Andr{\'e} G. Henriques",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We show that the bicategory of (representable)
orbifolds and good maps is equivalent to the bicategory
of orbifold translation groupoids and generalized
equivariant maps, giving a mechanism for transferring
results from equivariant homotopy theory to the
orbifold category. As an application, we use this
result to define orbifold versions of a couple of
equivariant cohomology theories: $K$-theory and Bredon
cohomology for certain coefficient diagrams.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Rupp:2010:R,
author = "R. Rupp and A. Sasane",
title = "Reducibility in {$A_\mathbb{R}(K)$},
{$C_\mathbb{R}(K)$}, and {$A(K)$}",
journal = j-CAN-J-MATH,
volume = "62",
number = "3",
pages = "646--667",
month = jun,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-025-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46J15 (19B10 30H80 93D15)",
MRnumber = "2666393 (2011h:46069)",
MRreviewer = "Jordi Pau",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $K$ denote a compact real symmetric subset of
$\mC$ and let $A_{\mathbb R}(K)$ denote the real Banach
algebra of all real symmetric continuous functions on
$K$ that are analytic in the interior $K^\circ$ of $K$,
endowed with the supremum norm. We characterize all
unimodular pairs $(f,g)$ in $A_{\mathbb R}(K)$^2$ $
which are reducible. In addition, for an arbitrary
compact $K$ in $\mathbb C$, we give a new proof (not
relying on Banach algebra theory or elementary stable
rank techniques) of the fact that the Bass stable rank
of $A(K)$ is 1. Finally, we also characterize all
compact real symmetric sets $K$ such that $A_{\mathbb
R}(K)$, respectively $C_{\mathbb R}(K)$, has Bass
stable rank 1.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Vollaard:2010:SLS,
author = "Inken Vollaard",
title = "The supersingular locus of the {Shimura} variety for
{${\rm GU}(1,s)$}",
journal = j-CAN-J-MATH,
volume = "62",
number = "3",
pages = "668--720",
month = jun,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-031-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "14G35 (11G18)",
MRnumber = "2666394 (2011j:14059)",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper we study the supersingular locus of the
reduction modulo $p$ of the Shimura variety for GU(1,
$s$) in the case of an inert prime $p$. Using
Dieudonn{\'e} theory we define a stratification of the
corresponding moduli space of $p$-divisible groups. We
describe the incidence relation of this stratification
in terms of the Bruhat-Tits building of a unitary
group. In the case of GU(1,2), we show that the
supersingular locus is equidimensional of dimension 1
and is of complete intersection. We give an explicit
description of the irreducible components and their
intersection behaviour.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Boocher:2010:FFU,
author = "Adam Boocher and Michael Daub and Ryan K. Johnson and
H. Lindo and S. Loepp and Paul A. Woodard",
title = "Formal Fibers of Unique Factorization Domains",
journal = j-CAN-J-MATH,
volume = "62",
number = "4",
pages = "721--736",
month = aug,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-014-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "13J10",
MRnumber = "2674698",
MRreviewer = "Tran Tuan Nam",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $(T,M)$ be a complete local (Noetherian) ring such
that $\dim T\geq 2$ and $|T|=|T/M|$ and let $\{p$_i$ \}
_{i \in \mathcal I}$ be a collection of elements of $T$
indexed by a set $\mathcal I$ so that $|\mathcal I | <
|T|$. For each $i \in \mathcal{I}$, let $C_i
:=\{Q_{i1}, \dots, Q_{in_i}\}$ be a set of nonmaximal
prime ideals containing $p_i$ such that the $Q_{ij}$
are incomparable and $p_i \in Q_{jk}$ if and only if $i
= j$. We provide necessary and sufficient conditions so
that $T$ is the ${\bf m}$-adic completion of a local
unique factorization domain $(A, {\bf m})$, and for
each $i \in \mathcal I$, there exists a unit $t_i$ of
$T$ so that $p_i t_i \in A$ and $C_i$ is the set of
prime ideals $Q$ of $T$ that are maximal with respect
to the condition that $Q \cap A = p_i t_i A$. We then
use this result to construct a (nonexcellent) unique
factorization domain containing many ideals for which
tight closure and completion do not commute. As another
application, we construct a unique factorization domain
$A$ most of whose formal fibers are geometrically
regular.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ditzian:2010:ADA,
author = "Z. Ditzian and A. Prymak",
title = "Approximation by dilated averages and
{$K$}-functionals",
journal = j-CAN-J-MATH,
volume = "62",
number = "4",
pages = "737--757",
month = aug,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-040-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "41A30",
MRnumber = "2674699 (2011h:41018)",
MRreviewer = "Weiyi Su",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "For a positive finite measure $d{\mu}( {\bf u})$ on
${\bf R}^d$ normalized to satisfy ${f\int}_{R^d}
d{\mu}( {\bf u}) = 1$, the dilated average of $f({\bf
x})$ is given by $A_t f({\bf x})={\int}_{R^d} f({\bf x}
{-}t {\bf u})d{\mu}( {\bf u})$. It will be shown that
under some mild assumptions on d{\mu}( {\bf u}) one has
the equivalence ||A$_t$ f - f||$_B$ \asymp inf{ (||f -
g||$_B$ +t$^2$ ||P(D)g||$_B$): P(D)g {\in} B} for t >
0, where {\phi}(t) \asymp {\psi}(t) means $c^{ - 1}$
{\leq} {\phi}(t)/{\psi}(t) {\leq} c, B is a Banach
space of functions for which translations are
continuous isometries and P(D) is an elliptic
differential operator induced by {\mu}. Many
applications are given, notable among which is the
averaging operator with d{\mu}( {\bf u}) =
(1/m(S)){\chi}$_S$ ( {\bf u})d {\bf u}, where S is a
bounded convex set in {\bf R}$^d$ with an interior
point, m(S) is the Lebesgue measure of S, and
{\chi}$_S$ ( {\bf u}) is the characteristic function of
S. The rate of approximation by averages on the
boundary of a convex set under more restrictive
conditions is also shown to be equivalent to an
appropriate K-functional.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Dolinar:2010:GPQ,
author = "Gregor Dolinar and Bojan Kuzma",
title = "General Preservers of Quasi-Commutativity",
journal = j-CAN-J-MATH,
volume = "62",
number = "4",
pages = "758--786",
month = aug,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-041-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "06A99 (15A27 15A86)",
MRnumber = "2674700 (2011f:06005)",
MRreviewer = "Peter {\v{S}}emrl",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $M_n$ be the algebra of all $n \times n$ matrices
over ${\bf C}$. We say that $A, B \in M_n$
quasi-commute if there exists a nonzero $\xi \in {\bf
C}$ such that $AB = \xi BA$. In the paper we classify
bijective not necessarily linear maps $\Phi: M_n \to
M_n$ which preserve quasi-commutativity in both
directions.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Landquist:2010:ETC,
author = "E. Landquist and P. Rozenhart and R. Scheidler and J.
Webster and Q. Wu",
title = "An explicit treatment of cubic function fields with
applications",
journal = j-CAN-J-MATH,
volume = "62",
number = "4",
pages = "787--807",
month = aug,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-032-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "14H05 (11G20 11R16 11R58 14H45)",
MRnumber = "2674701 (2011f:14044)",
MRreviewer = "Valmecir A. Bayer",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We give an explicit treatment of cubic function fields
of characteristic at least five. This includes an
efficient technique for converting such a field into
standard form, formulae for the field discriminant and
the genus, simple necessary and sufficient criteria for
non-singularity of the defining curve, and a
characterization of all triangular integral bases. Our
main result is a description of the signature of any
rational place in a cubic extension that involves only
the defining curve and the order of the base field. All
these quantities only require simple polynomial
arithmetic as well as a few square-free polynomial
factorizations and, in some cases, square and cube root
extraction modulo an irreducible polynomial. We also
illustrate why and how signature computation plays an
important role in computing the class number of the
function field. This in turn has applications to the
study of zeros of zeta functions of function fields.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Legendre:2010:ELE,
author = "Eveline Legendre",
title = "Extrema of low eigenvalues of the {Dirichlet--Neumann
Laplacian} on a disk",
journal = j-CAN-J-MATH,
volume = "62",
number = "4",
pages = "808--826",
month = aug,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-042-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "35P15 (35B05 35J25)",
MRnumber = "2674702 (2011f:35239)",
MRreviewer = "Sui Sun Cheng",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We study extrema of the first and the second mixed
eigenvalues of the Laplacian on the disk among some
families of Dirichlet--Neumann boundary conditions. We
show that the minimizer of the second eigenvalue among
all mixed boundary conditions lies in a compact
1-parameter family for which an explicit description is
given. Moreover, we prove that among all partitions of
the boundary with bounded number of parts on which
Dirichlet and Neumann conditions are imposed
alternately, the first eigenvalue is maximized by the
uniformly distributed partition.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ouyang:2010:BFC,
author = "Caiheng Ouyang and Quanhua Xu",
title = "{BMO} functions and {Carleson} measures with values in
uniformly convex spaces",
journal = j-CAN-J-MATH,
volume = "62",
number = "4",
pages = "827--844",
month = aug,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-043-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46E40 (42B25 46B20)",
MRnumber = "2674703 (2011e:46062)",
MRreviewer = "Tuomas P. Hyt{\"o}nen",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "This paper studies the relationship between
vector-valued BMO functions and the Carleson measures
defined by their gradients. Let $dA$ and $dm$ denote
Lebesgue measures on the unit disc $D$ and the unit
circle ${\bf T}$, respectively. For $1 < q < \infty$
and a Banach space $B$, we prove that there exists a
positive constant $c$ such that $\sup_{z 0} \in D
\int_D (1 - |z|)^{q - 1} ||\nablaf(z)||^q P_{z 0} (z)
dA(z) \leq c^q \sup_{z 0} \in D \int_T ||f(z) -
f(z_0)||^q P_{z 0} (z) dm(z)$ holds for all
trigonometric polynomials f with coefficients in B if
and only if B admits an equivalent norm which is
q-uniformly convex, where P$_{z 0}$ (z)=1 - |z$_0$
|$^2$ /|1 - z$_0^*$ z|$^2$. The validity of the
converse inequality is equivalent to the existence of
an equivalent q-uniformly smooth norm.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Samei:2010:BPA,
author = "Ebrahim Samei and Nico Spronk and Ross Stokke",
title = "Biflatness and pseudo-amenability of {Segal}
algebras",
journal = j-CAN-J-MATH,
volume = "62",
number = "4",
pages = "845--869",
month = aug,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-044-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "43A20 (43A30 46H25 46L07)",
MRnumber = "2674704 (2011h:43002)",
MRreviewer = "Krishnan Parthasarathy",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We investigate generalized amenability and biflatness
properties of various (operator) Segal algebras in both
the group algebra, L$^1$ (G), and the Fourier algebra,
A(G), of a locally compact group G.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Valdimarsson:2010:BLP,
author = "Stef{\'a}n Ingi Valdimarsson",
title = "The {Brascamp--Lieb} polyhedron",
journal = j-CAN-J-MATH,
volume = "62",
number = "4",
pages = "870--888",
month = aug,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-045-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "26D15 (44A35)",
MRnumber = "2674705",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "A set of necessary and sufficient conditions for the
Brascamp-Lieb inequality to hold has recently been
found by Bennett, Carbery, Christ, and Tao. We present
an analysis of these conditions. This analysis allows
us to give a concise description of the set where the
inequality holds in the case where each of the linear
maps involved has co-rank 1. This complements the
result of Barthe concerning the case where the linear
maps all have rank 1. Pushing our analysis further, we
describe the case where the maps have either rank 1 or
rank 2. A separate but related problem is to give a
list of the finite number of conditions necessary and
sufficient for the Brascamp-Lieb inequality to hold. We
present an algorithm which generates such a list.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Xia:2010:SIO,
author = "Jingbo Xia",
title = "Singular integral operators and essential
commutativity on the sphere",
journal = j-CAN-J-MATH,
volume = "62",
number = "4",
pages = "889--913",
month = aug,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-038-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "47G10 (32A55 42B25 46L05 47B35 47L80)",
MRnumber = "2674706 (2011g:47110)",
MRreviewer = "Edgar Tchoundja",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $T$ be the $C$^*$$-algebra generated by the
Toeplitz operators {$T$_{{\phi}}$$: ${\phi}$ {\in}
$L$$^{\infty}$ ( $S$, $d{\sigma}$)} on the Hardy space
$H$$^2$ ( $S$) of the unit sphere in {\bf C}$^n$. It is
well known that $T$ is contained in the essential
commutant of {$T$_{{\phi}}$$: ${\phi}$ {\in} VMO{\cap}
$L$$^{\infty}$ ( $S$, $d{\sigma}$)}. We show that the
essential commutant of {$T$_{{\phi}}$$: ${\phi}$ {\in}
VMO{\cap} $L$$^{\infty}$ ( $S$, $d{\sigma}$)} is
strictly larger than $T$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Zorn:2010:RPS,
author = "Christian Zorn",
title = "Reducibility of the principal series for
{$\widetilde{\rm Sp}_2(F)$} over a {$p$}-adic field",
journal = j-CAN-J-MATH,
volume = "62",
number = "4",
pages = "914--960",
month = aug,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-046-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "22E50 (11F70)",
MRnumber = "2674707 (2011e:22026)",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $G_n = \Sp_n(F)$ be the rank $n$ symplectic group
with entries in a nondyadic $p$-adic field $F$. We
further let $G^{\texttt{~}}_n$ be the metaplectic
extension of $G_n$ by ${\bf C}^1 = z \in {\bf C}^\times
| |z| = 1$ defined using the Leray cocycle. In this
paper, we aim to demonstrate the complete list of
reducibility points of the genuine principal series of
$G^{\texttt{~}}_2$. In most cases, we will use some
techniques developed by Tadi{\'c} that analyze the
Jacquet modules with respect to all of the parabolics
containing a fixed Borel. The exceptional cases involve
representations induced from unitary characters $\chi$
with $\chi^2 = 1$. Because such representations $\pi$
are unitary, to show the irreducibility of $\pi$, it
suffices to show that ${\rm dim}_C {\rm
Hom}_{G^{\texttt{~}}}(\pi, \pi) = 1$. We will
accomplish this by examining the poles of certain
intertwining operators associated to simple roots. Then
some results of Shahidi and Ban decompose arbitrary
intertwining operators into a composition of operators
corresponding to the simple roots of
$G^{\texttt{~}}_2$. We will then be able to show that
all such operators have poles at principal series
representations induced from quadratic characters and
therefore such operators do not extend to operators in
${\rm Hom}_G^{\texttt{~}} 2(\pi, \pi)$ for the $\pi$ in
question.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Aleman:2010:MII,
author = "Alexandru Aleman and Peter Duren and Mar{\'\i}a J.
Mart{\'\i}n and Dragan Vukoti{\'c}",
title = "Multiplicative isometries and isometric
zero-divisors",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "961--974",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-048-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46E15 (30H05)",
MRnumber = "2730350",
MRreviewer = "Oscar Blasco",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "For some Banach spaces of analytic functions in the
unit disk (weighted Bergman spaces, Bloch space,
Dirichlet-type spaces), the isometric pointwise
multipliers are found to be unimodular constants. As a
consequence, it is shown that none of those spaces have
isometric zero-divisors. Isometric coefficient
multipliers are also investigated.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bjorndahl:2010:RTN,
author = "Christina Bjorndahl and Yael Karshon",
title = "Revisiting {Tietze--Nakajima}: local and global
convexity for maps",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "975--993",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-052-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "53Dxx (52Bxx)",
MRnumber = "2730351",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "A theorem of Tietze and Nakajima, from 1928, asserts
that if a subset X of {\bf R}$^n$ is closed, connected,
and locally convex, then it is convex. We give an
analogous {``local to global convexity''} theorem when
the inclusion map of X to {\bf R}$^n$ is replaced by a
map from a topological space X to {\bf R}$^n$ that
satisfies certain local properties. Our motivation
comes from the Condevaux-Dazord-Molino proof of the
Atiyah-Guillemin-Sternberg convexity theorem in
symplectic geometry.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Breslin:2010:CBS,
author = "William Breslin",
title = "Curvature bounds for surfaces in hyperbolic
3-manifolds",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "994--1010",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-056-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "57M50",
MRnumber = "2730352 (2011i:57020)",
MRreviewer = "Baris Coskunuzer",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "A triangulation of a hyperbolic 3-manifold is L-thick
if each tetrahedron having all vertices in the thick
part of M is L-bilipschitz diffeomorphic to the
standard Euclidean tetrahedron. We show that there
exists a fixed constant L such that every complete
hyperbolic 3-manifold has an L-thick geodesic
triangulation. We use this to prove the existence of
universal bounds on the principal curvatures of
{\pi}$_1$-injective surfaces and strongly irreducible
Heegaard surfaces in hyperbolic 3-manifolds.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Buckingham:2010:FCF,
author = "Paul Buckingham and Victor Snaith",
title = "Functoriality of the canonical fractional {Galois}
ideal",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "1011--1036",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-054-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11R42 (11R23 11R70)",
MRnumber = "2730353",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "The fractional Galois ideal is a conjectural
improvement on the higher Stickelberger ideals defined
at negative integers, and is expected to provide
non-trivial annihilators for higher K-groups of rings
of integers of number fields. In this article, we
extend the definition of the fractional Galois ideal to
arbitrary (possibly infinite and non-abelian) Galois
extensions of number fields under the assumption of
Stark's conjectures and prove naturality properties
under canonical changes of extension. We discuss
applications of this to the construction of ideals in
non-commutative Iwasawa algebras.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Calvino-Louzao:2010:RET,
author = "E. Calvi{\~n}o-Louzao and E. Garc{\'\i}a-R{\'\i}o and
R. V{\'a}zquez-Lorenzo",
title = "{Riemann} extensions of torsion-free connections with
degenerate {Ricci} tensor",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "1037--1057",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-059-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "53C50",
MRnumber = "2730354",
MRreviewer = "Miguel Brozos-V{\'a}zquez",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "{Correspondence} between torsion-free connections with
{nilpotent skew-symmetric curvature operator} and IP
Riemann extensions is shown. Some consequences are
derived in the study of four-dimensional IP metrics and
locally homogeneous affine surfaces.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chen:2010:CS,
author = "Yichao Chen and Yanpei Liu",
title = "On a Conjecture of {S. Stahl}",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "1058--1059",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-058-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "05C10 (05C31)",
MRnumber = "2730355 (2011g:05068)",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "S. Stahl conjectured that the zeros of genus
polynomials are real. In this note, we disprove this
conjecture.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Darmon:2010:HPT,
author = "Henri Darmon and Ye Tian",
title = "{Heegner} Points over {Towers of Kummer} Extensions",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "1060--1081",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-039-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11G40 (11F46 11G05 11R23)",
MRnumber = "2730356",
MRreviewer = "Jeremy T. Teitelbaum",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let E be an elliptic curve, and let L$_n$ be the
Kummer extension generated by a primitive p$^n$-th root
of unity and a p$^n$-th root of a for a fixed a {\in}
{\bf Q}$^\times$ - {{\pm}1}. A detailed case study by
Coates, Fukaya, Kato and Sujatha and V. Dokchitser has
led these authors to predict unbounded and strikingly
regular growth for the rank of E over L$_n$ in certain
cases. The aim of this note is to explain how some of
these predictions might be accounted for by Heegner
points arising from a varying collection of Shimura
curve parametrisations.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Godinho:2010:FGM,
author = "Leonor Godinho and M. E. Sousa-Dias",
title = "The Fundamental Group of {$S^1$}-manifolds",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "1082--1098",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-053-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "53D20 (37J15 55Q05)",
MRnumber = "2730357 (2011i:53134)",
MRreviewer = "Eduardo A. Gonzalez",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We address the problem of computing the fundamental
group of a symplectic S$^1$-manifold for
non-Hamiltonian actions on compact manifolds, and for
Hamiltonian actions on non-compact manifolds with a
proper moment map. We generalize known results for
compact manifolds equipped with a Hamiltonian
S$^1$-action. Several examples are presented to
illustrate our main results.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Goldmakher:2010:CSS,
author = "Leo Goldmakher",
title = "Character Sums to Smooth Moduli are Small",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "1099--1115",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-047-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11L40",
MRnumber = "2730358",
MRreviewer = "Moubariz Z. Garaev",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Recently, Granville and Soundararajan have made
fundamental breakthroughs in the study of character
sums. Building on their work and using estimates on
short character sums developed by Graham--Ringrose and
Iwaniec, we improve the P{\'o}lya--Vinogradov
inequality for characters with smooth conductor.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Jin:2010:DLO,
author = "Yongyang Jin and Genkai Zhang",
title = "Degenerate $p$-{Laplacian} Operators and {Hardy} Type
Inequalities on {$H$}-Type Groups",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "1116--1130",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-033-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "22E25 (22E30 26D10)",
MRnumber = "2730359 (2011j:22015)",
MRreviewer = "Luca Capogna",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $\mathbb G$ be a step-two nilpotent group of
H-type with Lie algebra $\mathfrak G=V\oplus \mathfrak
t$. We define a class of vector fields $X={X_j}$ on
$\mathbb G$ depending on a real parameter $k\ge 1$, and
we consider the corresponding $p$-Laplacian operator
$L_{p,k} u= div_X (|\nabla_{X} u|^{p-2} \nabla_X u)$.
For $k=1$ the vector fields $X=\{X_j\}$ are the left
invariant vector fields corresponding to an orthonormal
basis of $V$; for $\mathbb G$ being the Heisenberg
group the vector fields are the Greiner fields. In this
paper we obtain the fundamental solution for the
operator $L_{p,k}$ and as an application, we get a
Hardy type inequality associated with $X$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kleppe:2010:MSR,
author = "Jan O. Kleppe",
title = "Moduli spaces of reflexive sheaves of rank $2$",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "1131--1154",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-057-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "14F05 (14Dxx)",
MRnumber = "2730360",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $F$ be a coherent rank 2 sheaf on a scheme Y
{\subset} {\bf P}$^n$ of dimension at least two and let
X {\subset} Y be the zero set of a section {\sigma}
{\in} H$^0$ ( $F$). In this paper, we study the
relationship between the functor that deforms the pair
( $F$,{\sigma}) and the two functors that deform $F$ on
Y, and X in Y, respectively. By imposing some
conditions on two forgetful maps between the functors,
we prove that the scheme structure of e.g., the moduli
scheme M $_Y$ (P) of stable sheaves on a threefold Y at
( $F$), and the scheme structure at (X) of the Hilbert
scheme of curves on Y become closely related. Using
this relationship, we get criteria for the dimension
and smoothness of M $_Y$ (P) at ( $F$), without
assuming Ext$^2$ ( $F$, $F$) = 0. For reflexive sheaves
on Y= {\bf P}$^3$ whose deficiency module M = H$_*^1$ (
$F$) satisfies$_0$ Ext$^2$ (M,M) = 0 ( e.g., of
diameter at most 2), we get necessary and sufficient
conditions of unobstructedness that coincide in the
diameter one case. The conditions are further
equivalent to the vanishing of certain graded Betti
numbers of the free graded minimal resolution of
$H_*^0(F)$. Moreover, we show that every irreducible
component of $M_P^3(P)$ containing a reflexive sheaf of
diameter one is reduced (generically smooth) and we
compute its dimension. We also determine a good lower
bound for the dimension of any component of $M_P^3(P)$
that contains a reflexive stable sheaf with ``small''
deficiency module $M$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Young:2010:MCV,
author = "Matthew P. Young",
title = "Moments of the critical values of families of elliptic
curves, with applications",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "1155--1181",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-049-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11M50 (11G40)",
MRnumber = "2730361 (2011h:11101)",
MRreviewer = "Steven Joel Miller",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We make conjectures on the moments of the central
values of the family of all elliptic curves and on the
moments of the first derivative of the central values
of a large family of positive rank curves. In both
cases the order of magnitude is the same as that of the
moments of the central values of an orthogonal family
of L-functions. Notably, we predict that the critical
values of all rank 1 elliptic curves is logarithmically
larger than the rank 1 curves in the positive rank
family. Furthermore, as arithmetical applications, we
make a conjecture on the distribution of a$_p$ 's
amongst all rank 2 elliptic curves and show how the
Riemann hypothesis can be deduced from sufficient
knowledge of the first moment of the positive rank
family (based on an idea of Iwaniec).",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@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/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} {\not=} 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",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Alzati:2010:CVA,
author = "Alberto Alzati and Gian Mario Besana",
title = "Criteria for very ampleness of rank two vector bundles
over ruled surfaces",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1201--1227",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-066-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "14J60",
MRnumber = "2760655",
bibdate = "Wed Sep 7 18:49:51 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ardila:2010:VMP,
author = "Federico Ardila and Alex Fink and Felipe Rinc{\'o}n",
title = "Valuations for Matroid Polytope Subdivisions",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1228--1245",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-064-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "05B35",
MRnumber = "2760656",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We prove that the ranks of the subsets and the
activities of the bases of a matroid define valuations
for the subdivisions of a matroid polytope into smaller
matroid polytopes.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chaput:2010:QCM,
author = "P. E. Chaput and L. Manivel and N. Perrin",
title = "Quantum cohomology of minuscule homogeneous spaces
{III}. {Semi-simplicity} and consequences",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1246--1263",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-050-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "14N35 (14M15)",
MRnumber = "2760657",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We prove that the quantum cohomology ring of any
minuscule or cominuscule homogeneous space, specialized
at q=1, is semisimple. This implies that complex
conjugation defines an algebra automorphism of the
quantum cohomology ring localized at the quantum
parameter. We check that this involution coincides with
the strange duality defined in our previous article. We
deduce Vafa-Intriligator type formulas for the
Gromov-Witten invariants.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chen:2010:HVM,
author = "Jingyi Chen and Ailana Fraser",
title = "Holomorphic variations of minimal disks with boundary
on a {Lagrangian} surface",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1264--1275",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-068-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "58Exx (53Cxx 53Dxx)",
MRnumber = "2760658",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let L be an oriented Lagrangian submanifold in an
$n$-dimensional K{\"a}hler manifold $M$. Let $u: D \to
M$ be a minimal immersion from a disk $D$ with
$u(\partial D) \subset L$ such that $u(D)$ meets $L$
orthogonally along $u( \partial D)$. Then the real
dimension of the space of admissible holomorphic
variations is at least $n + \mu (E,F)$, where $\mu
(E,F)$ is a boundary Maslov index; the minimal disk is
holomorphic if there exist $n$ admissible holomorphic
variations that are linearly independent over ${\bf R}$
at some point $p \in \partial D$; if $M = {\bf C} P^n$
and $u$ intersects $L$ positively, then $u$ is
holomorphic if it is stable, and its Morse index is at
least $n + \mu (E,F)$ if $u$ is unstable.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{ElWassouli:2010:GPT,
author = "Fouzia {El Wassouli}",
title = "A generalized {Poisson} transform of an
{$L^p$}-function over the {Shilov} boundary of the
{$n$}-dimensional {Lie} ball",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1276--1292",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-069-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "32A50 (31B10 31B25 32A45 32M15 46F15)",
MRnumber = "2760659",
MRreviewer = "Jacques Faraut",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $D$ be the n-dimensional Lie ball and let
$\mathfrak B(S)$ be the space of hyperfunctions on the
Shilov boundary $S$ of $D$. The aim of this paper is to
give a necessary and sufficient condition on the
generalized Poisson transform $P_{l,{\lambda}} f$ of an
element $f$ in the space $\mathfrak B(S)$ for $f$ to be
in $L^p (S), 1 < p < \infty$. Namely, if $F$ is the
Poisson transform of some $f \in \mathfrak B(S)$ (i.e.,
$F = P_{l, \lambda} f$), then for any $l \in {\bf Z}$
and $\lambda \in {\bf C}$ such that $R e[i \lambda] >
\frac{n}{2 - 1}$, we show that $f \in L^p (S)$ if and
only if $f$ satisfies the growth condition
$||F||_{\lambda,p} = \sup 0 \leq r < 1 (1 - r^2)^{R e[i
\lambda]} - \frac{n}{2+l}$ \SGMLentity{"23a1}
\SGMLentity{"23a3} \SGMLentity{8992} \SGMLentity{8993}
S |F(ru)|$^p$ du \SGMLentity{"23a4} \SGMLentity{"23a6}
$\frac 1 p < +\infty$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kasprzyk:2010:CTF,
author = "Alexander M. Kasprzyk",
title = "Canonical Toric {Fano} Threefolds",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1293--1309",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-070-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "14J45 (14J30)",
MRnumber = "2760660",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "An inductive approach to classifying all toric Fano
varieties is given. As an application of this
technique, we present a classification of the toric
Fano threefolds with at worst canonical singularities.
Up to isomorphism, there are 674,688 such varieties.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lee:2010:IHA,
author = "Kyu-Hwan Lee",
title = "{Iwahori--Hecke} Algebras of {${\rm SL}_2$} over
$2$-Dimensional Local Fields",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1310--1324",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-072-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "20Gxx",
MRnumber = "2760661",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper we construct an analogue of
Iwahori-Hecke algebras of SL$_2$ over 2-dimensional
local fields. After considering coset decompositions of
double cosets of a Iwahori subgroup, we define a
convolution product on the space of certain functions
on SL$_2$, and prove that the product is well-defined,
obtaining a Hecke algebra. Then we investigate the
structure of the Hecke algebra. We determine the center
of the Hecke algebra and consider Iwahori-Matsumoto
type relations.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Mo:2010:SEC,
author = "Xiaohuan Mo and Changtao Yu",
title = "On some explicit constructions of {Finsler} metrics
with scalar flag curvature",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1325--1339",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-051-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "53C60",
MRnumber = "2760662",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We give an explicit construction of polynomial ( of
arbitrary degree) ({\alpha},{\beta})-metrics with
scalar flag curvature and determine their scalar flag
curvature. These Finsler metrics contain all
non-trivial projectively flat
({\alpha},{\beta})-metrics of constant flag
curvature.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Moeglin:2010:HOE,
author = "C. M{\oe}glin",
title = "Holomorphie des op{\'e}rateurs d'entrelacement
normalis{\'e}s {\`a} l'aide des param{\`e}tres
d'{Arthur}. ({French}) [{Holomorphism} of normalized
interlacing operators with the help of {Arthur}
parameters]",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1340--1386",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-074-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "22Exx",
MRnumber = "2760663",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper we prove holomorphy for certain
intertwining operators arising from the theory of
Eisenstein series. To do that we need to normalize
using the Langlands-Shahidi's normalization arising
from the twisted endoscopy and the associated
representations of the general linear group.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
language = "French",
}
@Article{Pamuk:2010:HSE,
author = "Mehmetcik Pamuk",
title = "Homotopy self-equivalences of $4$-manifolds with free
fundamental group",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1387--1403",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-061-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "57N13 (55P10 57R80)",
MRnumber = "2760664 (2011i:57026)",
MRreviewer = "Terry Lawson",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We calculate the group of homotopy classes of homotopy
self-equivalences of 4-manifolds with free fundamental
group and obtain a classification of such 4-manifolds
up to s-cobordism.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Saroglou:2010:CES,
author = "Christos Saroglou",
title = "Characterizations of extremals for some functionals on
convex bodies",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1404--1418",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-062-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "52A40 (52A22)",
MRnumber = "2760665",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We investigate equality cases in inequalities for
Sylvester-type functionals. Namely, it was proven by
Campi, Colesanti, and Gronchi that the quantity
{\int}$_{x 0}$ {\in} K {\ldots}{\int}$_{x n}$ {\in} K
[V(conv{x$_0$,...,x$_n$})]$^p$ dx$_0$ {\ldots}dx$_n$, n
{\geq} d, p {\geq} 1 is maximized by triangles among
all planar convex bodies K (parallelograms in the
symmetric case). We show that these are the only
maximizers, a fact proven by Giannopoulos for p=1.
Moreover, if h\from {\bf R}$_+$ {\rightarrow} {\bf
R}$_+$ is a strictly increasing function and W$_j$ is
the j-th quermassintegral in {\bf R}$^d$, we prove that
the functional {\int}$_{x 0}$ {\in} K$_0$
{\ldots}{\int}$_{x n}$ {\in} K$_n$ h(W$_j$
(conv{x$_0$,...,x$_n$}))dx$_0$ {\ldots}dx$_n$, n {\geq}
d is minimized among the (n+1)-tuples of convex bodies
of fixed volumes if and only if K$_0$,...,K$_n$ are
homothetic ellipsoids when j=0 (extending a result of
Groemer) and Euclidean balls with the same center when
j > 0 (extending a result of Hartzoulaki and
Paouris).",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Yang:2010:BEM,
author = "Dachun Yang and Dongyong Yang",
title = "{BMO}-estimates for maximal operators via
approximations of the identity with non-doubling
measures",
journal = j-CAN-J-MATH,
volume = "62",
number = "6",
pages = "1419--1434",
month = dec,
year = "2010",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-065-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "42B25 (42B30 43A99 47B38)",
MRnumber = "2760666 (2011j:42034)",
MRreviewer = "Yasuo Komori",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let $\mu$ be a nonnegative Radon measure on
$\mathbb{R}^d$ that satisfies the growth condition that
there exist constants $C_0 > 0$ and $n \in (0,d]$ such
that for all $x \in \mathbb{R}^d$ and $r > 0$,
$\mu(B(x,r)) \leq C_0 r^n$, where $B(x,r)$ is the open
ball centered at $x$ and having radius $r$. In this
paper, the authors prove that if $f$ belongs to the
BMO-type space RBMO($\mu$) of Tolsa, then the
homogeneous maximal function $\cdot M_S(f)$ (when
$\mathbb{R}^d$ is not an initial cube) and the
inhomogeneous maximal function $M_S(f)$ (when
$\mathbb{R}^d$ is an initial cube) associated with a
given approximation of the identity $S$ of Tolsa are
either infinite everywhere or finite almost everywhere,
and in the latter case, ${\cdot} M_S$ and $M_S$ are
bounded from RBMO($\mu$) to the BLO-type space
RBLO($\mu$). The authors also prove that the
inhomogeneous maximal operator $M_S$ is bounded from
the local BMO-type space rbmo($\mu$) to the local
BLO-type space rblo($\mu$).",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Banica:2011:FBL,
author = "T. Banica and S. T. Belinschi and M. Capitaine and B.
Collins",
title = "Free {Bessel} Laws",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "3--37",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-060-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46L54",
MRnumber = "2779129",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We introduce and study a remarkable family of real
probability measures ${\pi}_{st}$ that we call free
Bessel laws. These are related to the free Poisson law
{\pi} via the formulae ${\pi}_{s1} ={\pi}^{\boxtimes
s}$ and ${\pi}_{1t} = \pi^{\boxplus t}$. Our study
includes definition and basic properties, analytic
aspects (supports, atoms, densities), combinatorial
aspects (functional transforms, moments, partitions),
and a discussion of the relation with random matrices
and quantum groups.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Brudern:2011:AFP,
author = "J{\"o}rg Br{\"u}dern and Trevor D. Wooley",
title = "Asymptotic formulae for pairs of diagonal cubic
equations",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "38--54",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-067-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11D72 (11P55)",
MRnumber = "2779130",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We investigate the number of integral solutions
possessed by a pair of diagonal cubic equations in a
large box. Provided that the number of variables in the
system is at least fourteen, and in addition the number
of variables in any non-trivial linear combination of
the underlying forms is at least eight, we obtain an
asymptotic formula for the number of integral solutions
consistent with the product of local densities
associated with the system.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chau:2011:PRF,
author = "Albert Chau and Luen-Fai Tam and Chengjie Yu",
title = "Pseudolocality for the {Ricci} Flow and Applications",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "55--85",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-076-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "53C44",
MRnumber = "2779131",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Perelman established a differential Li-Yau-Hamilton
(LYH) type inequality for fundamental solutions of the
conjugate heat equation corresponding to the Ricci flow
on compact manifolds. As an application of the LYH
inequality, Perelman proved a pseudolocality result for
the Ricci flow on compact manifolds. In this article we
provide the details for the proofs of these results in
the case of a complete noncompact Riemannian manifold.
Using these results we prove that under certain
conditions, a finite time singularity of the Ricci flow
must form within a compact set. The conditions are
satisfied by asymptotically flat manifolds. We also
prove a long time existence result for the
K{\"a}hler-Ricci flow on complete nonnegatively curved
K{\"a}hler manifolds.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chen:2011:VC,
author = "Xi Chen",
title = "On {Vojta}'s {$1 + \epsilon$} conjecture",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "86--103",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-073-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "14G40 (14H15)",
MRnumber = "2779132",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We give another proof of Vojta's 1+{\epsilon}
conjecture.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
xxtitle = "On {Vojta}'s $1 + \varepsilon$ Conjecture",
}
@Article{Feng:2011:RIF,
author = "Shui Feng and Byron Schmuland and Jean Vaillancourt
and Xiaowen Zhou",
title = "Reversibility of interacting {Fleming--Viot} processes
with mutation, selection, and recombination",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "104--122",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-071-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "60K35 (60J70)",
MRnumber = "2779133",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Reversibility of the Fleming-Viot process with
mutation, selection, and recombination is well
understood. In this paper, we study the reversibility
of a system of Fleming-Viot processes that live on a
countable number of colonies interacting with each
other through migrations between the colonies. It is
shown that reversibility fails when both migration and
mutation are non-trivial.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Granirer:2011:SES,
author = "Edmond E. Granirer",
title = "Strong and Extremely Strong {Ditkin} sets for the
{Banach} Algebras {$A_p^r(G) = {A_p\cap} L^r(G)$}",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "123--135",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-077-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "43A15 (43A10 46J10)",
MRnumber = "2779134",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let A$_p$ (G) be the Figa-Talamanca, Herz Banach
Algebra on G; thus A$_2$ (G) is the Fourier algebra.
Strong Ditkin (SD) and Extremely Strong Ditkin (ESD)
sets for the Banach algebras A$_p^r$ (G) are
investigated for abelian and nonabelian locally compact
groups G. It is shown that SD and ESD sets for A$_p$
(G) remain SD and ESD sets for A$_p^r$ (G), with strict
inclusion for ESD sets. The case for the strict
inclusion of SD sets is left open. A result on the weak
sequential completeness of A$_2$ (F) for ESD sets F is
proved and used to show that Varopoulos, Helson, and
Sidon sets are not ESD sets for A$_2$ (G), yet they are
such for A$_2^r$ (G) for discrete groups G, for any 1
{\leq} r {\leq} 2. A result is given on the equivalence
of the sequential and the net definitions of SD or ESD
sets for {\sigma}-compact groups. The above results are
new even if G is abelian.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Gun:2011:TNS,
author = "Sanoli Gun and M. Ram Murty and Purusottam Rath",
title = "Transcendental nature of special values of
{$L$}-functions",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "136--152",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-078-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11J81 (11J86 11J91)",
MRnumber = "2779135",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper, we study the non-vanishing and
transcendence of special values of a varying class of
L-functions and their derivatives. This allows us to
investigate the transcendence of Petersson norms of
certain weight one modular forms.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hambly:2011:AFA,
author = "B. M. Hambly",
title = "Asymptotics for functions associated with heat flow on
the {Sierpinski} carpet",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "153--180",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-079-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "35Kxx (28A80 60J65)",
MRnumber = "2779136",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We establish the asymptotic behaviour of the partition
function, the heat content, the integrated eigenvalue
counting function, and, for certain points, the
on-diagonal heat kernel of generalized Sierpinski
carpets. For all these functions the leading term is of
the form x$^{{\gamma}}$ $\varphi$(logx) for a suitable
exponent {\gamma} and $\varphi$ a periodic function. We
also discuss similar results for the heat content of
affine nested fractals.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ismail:2011:CCD,
author = "Mourad E. H. Ismail and Josef Obermaier",
title = "Characterizations of continuous and discrete
{$q$}-ultraspherical polynomials",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "181--199",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-080-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "42C05 (33D45)",
MRnumber = "2779137",
MRreviewer = "Ilona Iglewska-Nowak",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We characterize the continuous q-ultraspherical
polynomials in terms of the special form of the
coefficients in the expansion $D$$_q$ P$_n$ (x) in the
basis {P$_n$ (x)}, $D$$_q$ being the Askey--Wilson
divided difference operator. The polynomials are
assumed to be symmetric, and the connection
coefficients are multiples of the reciprocal of the
square of the L$^2$ norm of the polynomials. A similar
characterization is given for the discrete
q-ultraspherical polynomials. A new proof of the
evaluation of the connection coefficients for big
q-Jacobi polynomials is given.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Rahman:2011:EPE,
author = "Mizan Rahman",
title = "An explicit polynomial expression for a $q$-analogue
of the $9$-$j$ symbols",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "200--221",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-081-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "33D45 (33D50)",
MRnumber = "2779138",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Using standard transformation and summation formulas
for basic hypergeometric series we obtain an explicit
polynomial form of the q-analogue of the 9-j symbols,
introduced by the author in a recent publication. We
also consider a limiting case in which the 9-j symbol
factors into two Hahn polynomials. The same
factorization occurs in another limit case of the
corresponding q-analogue.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Wang:2011:LTA,
author = "Jiun-Chau Wang",
title = "Limit theorems for additive conditionally free
convolution",
journal = j-CAN-J-MATH,
volume = "63",
number = "1",
pages = "222--240",
month = feb,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-075-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46L54 (60F05)",
MRnumber = "2779139",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper we determine the limiting distributional
behavior for sums of infinitesimal conditionally free
random variables. We show that the weak convergence of
classical convolution and that of conditionally free
convolution are equivalent for measures in an
infinitesimal triangular array, where the measures may
have unbounded support. Moreover, we use these limit
theorems to study the conditionally free infinite
divisibility. These results are obtained by complex
analytic methods without reference to the combinatorics
of c-free convolution.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Essouabri:2011:MZF,
author = "Driss Essouabri and Kohji Matsumoto and Hirofumi
Tsumura",
title = "Multiple zeta-functions associated with linear
recurrence sequences and the vectorial sum formula",
journal = j-CAN-J-MATH,
volume = "63",
number = "2",
pages = "241--276",
month = apr,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-085-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11M32 (11B39 40B05)",
MRnumber = "2809056",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We prove the holomorphic continuation of certain
multi-variable multiple zeta-functions whose
coefficients satisfy a suitable recurrence condition.
In fact, we introduce more general vectorial
zeta-functions and prove their holomorphic
continuation. Moreover, we show a vectorial sum formula
among those vectorial zeta-functions from which some
generalizations of the classical sum formula can be
deduced.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ghate:2011:LIG,
author = "Eknath Ghate and Vinayak Vatsal",
title = "Locally Indecomposable {Galois} Representations",
journal = j-CAN-J-MATH,
volume = "63",
number = "2",
pages = "277--297",
month = apr,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-084-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11F80",
MRnumber = "2809057",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In a previous paper the authors showed that, under
some technical conditions, the local Galois
representations attached to the members of a non-CM
family of ordinary cusp forms are indecomposable for
all except possibly finitely many members of the
family. In this paper we use deformation theoretic
methods to give examples of non-CM families for which
every classical member of weight at least two has a
locally indecomposable Galois representation.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Gun:2011:VLC,
author = "Sanoli Gun and V. Kumar Murty",
title = "A variant of {Lehmer}'s conjecture, {II}: the
{CM}-case",
journal = j-CAN-J-MATH,
volume = "63",
number = "2",
pages = "298--326",
month = apr,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-002-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11F11 (11F30)",
MRnumber = "2809058",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let f be a normalized Hecke eigenform with rational
integer Fourier coefficients. It is an interesting
question to know how often an integer n has a factor
common with the n-th Fourier coefficient of f. It has
been shown in previous papers that this happens very
often. In this paper, we give an asymptotic formula for
the number of integers n for which (n, a(n)) = 1, where
a(n) is the n-th Fourier coefficient of a normalized
Hecke eigenform f of weight 2 with rational integer
Fourier coefficients and having complex
multiplication.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Jantzen:2011:DSA,
author = "Chris Jantzen",
title = "Discrete series for $p$-adic {${\rm SO}(2 n)$} and
restrictions of representations of {${\rm O}(2 n)$}",
journal = j-CAN-J-MATH,
volume = "63",
number = "2",
pages = "327--380",
month = apr,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-003-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "22Exx",
MRnumber = "2809059",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "In this paper we give a classification of discrete
series for SO(2n,F), F p-adic, similar to that of
Moeglin-Tadi{\'c} for the other classical groups. This
is obtained by taking the Moeglin-Tadi{\'c}
classification for O(2n,F) and studying how the
representations restrict to SO(2n,F). We then extend
this to an analysis of how admissible representations
of O(2n,F) restrict.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ji:2011:CCA,
author = "Kui Ji and Chunlan Jiang",
title = "A complete classification of {AI} algebras with the
ideal property",
journal = j-CAN-J-MATH,
volume = "63",
number = "2",
pages = "381--412",
month = apr,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-005-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46L35 (19K14 46L05 46L08)",
MRnumber = "2809060",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let A be an AI algebra; that is, A is the
C$^*$-algebra inductive limit of a sequence A$_1$
$\varphi$$_{1,2}$ {\rightarrow} A$_2$ $\varphi$$_{2,3}$
{\rightarrow} A$_3$ {\rightarrow}{\ldots}{\rightarrow}
A$_n$ {\rightarrow}{\ldots}, where A$_n$
={\oplus}$_{i=1}^{k n}$ M$_{[n,i]}$ (C(X$^i_n$)),
X$^i_n$ are [0,1], k$_n$, and [n,i] are positive
integers. Suppose that A has the ideal property: each
closed two-sided ideal of A is generated by the
projections inside the ideal, as a closed two-sided
ideal. In this article, we give a complete
classification of AI algebras with the ideal
property.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Konvalinka:2011:GFH,
author = "Matja{\v{z}} Konvalinka and Mark Skandera",
title = "Generating Functions for {Hecke} Algebra Characters",
journal = j-CAN-J-MATH,
volume = "63",
number = "2",
pages = "413--435",
month = apr,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-082-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "20C08",
MRnumber = "2809061",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Certain polynomials in $n^2$ variables that serve as
generating functions for symmetric group characters are
sometimes called ($S_n$) character immanants. We point
out a close connection between the identities of
Littlewood--Merris--Watkins and Goulden--Jackson, which
relate $S_n$ character immanants to the determinant,
the permanent and MacMahon's Master Theorem. From these
results we obtain a generalization of Muir's identity.
Working with the quantum polynomial ring and the Hecke
algebra $H_n(q)$, we define quantum immanants that are
generating functions for Hecke algebra characters. We
then prove quantum analogs of the
Littlewood--Merris--Watkins identities and selected
Goulden--Jackson identities that relate $H_n(q)$
character immanants to the quantum determinant, quantum
permanent, and quantum Master Theorem of
Garoufalidis--L{\^e}--Zeilberger. We also obtain a
generalization of Zhang's quantization of Muir's
identity.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Mine:2011:SCO,
author = "Kotaro Mine and Katsuro Sakai",
title = "Simplicial complexes and open subsets of non-separable
{LF}-spaces",
journal = j-CAN-J-MATH,
volume = "63",
number = "2",
pages = "436--459",
month = apr,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2010-083-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "57N20 (46Axx 46Txx 57Q40)",
MRnumber = "2809062",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let F be a non-separable LF-space homeomorphic to the
direct sum $\sum_{n {\in} N} l_2 (\tau_n)$, where
$\aleph_0 < \tau_1 < \tau_2 < \ldots$. It is proved
that every open subset U of F is homeomorphic to the
product |K| \times F for some locally
finite-dimensional simplicial complex K such that every
vertex v {\in} K$^{(0)}$ has the star St(v,K) with card
St(v,K)$^{(0)}$ < {\tau} = sup{\tau}$_n$ (and card
K$^{(0)}$ {\leq} {\tau}), and, conversely, if K is such
a simplicial complex, then the product |K| \times F can
be embedded in F as an open set, where |K| is the
polyhedron of K with the metric topology.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Pavlicek:2011:MCM,
author = "Libor Pavl{\'\i}{\v{c}}ek",
title = "Monotonically Controlled Mappings",
journal = j-CAN-J-MATH,
volume = "63",
number = "2",
pages = "460--480",
month = apr,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-004-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "46Gxx (26B05 46Bxx)",
MRnumber = "2809063",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "We study classes of mappings between finite and
infinite dimensional Banach spaces that are monotone
and mappings which are differences of monotone mappings
(DM). We prove a Rad{\'o}-Reichelderfer estimate for
monotone mappings in finite dimensional spaces that
remains valid for DM mappings. This provides an
alternative proof of the Fr{\'e}chet differentiability
a.e. of DM mappings. We establish a Morrey-type
estimate for the distributional derivative of monotone
mappings. We prove that a locally DM mapping between
finite dimensional spaces is also globally DM. We
introduce and study a new class of the so-called UDM
mappings between Banach spaces, which generalizes the
concept of curves of finite variation.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Baragar:2011:ACK,
author = "Arthur Baragar",
title = "The Ample Cone for a {K3} Surface",
journal = j-CAN-J-MATH,
volume = "63",
number = "3",
pages = "481--499",
month = jun,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-006-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper, we give several pictorial fractal
representations of the ample or K{\"a}hler cone for
surfaces in a certain class of K3 surfaces. The class
includes surfaces described by smooth (2,2,2) forms in
{\bf P}$^1$ \times {\bf P}$^1$ \times {\bf P}$^1$
defined over a sufficiently large number field K that
have a line parallel to one of the axes and have Picard
number four. We relate the Hausdorff dimension of this
fractal to the asymptotic growth of orbits of curves
under the action of the surface's group of
automorphisms. We experimentally estimate the Hausdorff
dimension of the fractal to be 1.296 {\pm}.010.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Dadarlat:2011:OPC,
author = "Marius Dadarlat and George A. Elliott and Zhuang Niu",
title = "One-Parameter Continuous Fields of {Kirchberg}
Algebras. {II}",
journal = j-CAN-J-MATH,
volume = "63",
number = "3",
pages = "500--532",
month = jun,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-001-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Parallel to the first two authors' earlier
classification of separable, unita one-parameter,
continuous fields of Kirchberg algebras with torsion
free K -groups supported in one dimension,
one-parameterble, unital, continuous fields of
AF-algebras are classified by their ordered K
$_0$-sheaves. Effros-Handelman-Shen type are proved for
separable unital one-parameter continuous fields of
AF-algebras and Kirchberg algebras.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Espinola:2011:BPP,
author = "Rafa Esp{\'\i}nola and Aurora Fern{\'a}ndez-Le{\'o}n",
title = "On Best Proximity Points in Metric and {Banach}
Spaces",
journal = j-CAN-J-MATH,
volume = "63",
number = "3",
pages = "533--550",
month = jun,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-007-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we study the existence and uniqueness of
best proximity points of cyclic contractions as well as
the convergence of iterates to such proximity points.
We take two different approaches, each one leading to
different results that complete, if not improve, other
similar results in the theory. Results in this paper
stand for Banach spaces, geodesic metric spaces and
metric spaces. We also include an appendix on CAT(0)
spaces where we study the particular behavior of these
spaces regarding the problems we are concerned with.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hadwin:2011:TFE,
author = "Don Hadwin and Qihui Li and Junhao Shen",
title = "Topological Free Entropy Dimensions in Nuclear
{C}$^*$-algebras and in Full Free Products of Unital
{C}$^*$-algebras",
journal = j-CAN-J-MATH,
volume = "63",
number = "3",
pages = "551--590",
month = jun,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-014-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In the paper, we introduce a new concept, topological
orbit dimension of an n-tuple of elements in a unital
C$^{{\ast}}$-algebra. Using this concept, we conclude
that Voiculescu's topological free entropy dimension of
every finite family of self-adjoint generators of a
nuclear C$^{{\ast}}$-algebra is less than or equal to
1. We also show that the Voiculescu's topological free
entropy dimension is additive in the full free product
of some unital C$^{{\ast}}$-algebras. We show that the
unital full free product of Blackadar and Kirchberg's
unital MF algebras is also an MF algebra. As an
application, we obtain that Ext(C$_r^{{\ast}}$
(F$_2$){\ast}$_C$ C$_r^{{\ast}}$ (F$_2$)) is not a
group.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hanzer:2011:ROR,
author = "Marcela Hanzer and Goran Mui{\'c}",
title = "Rank One Reducibility for Metaplectic Groups via Theta
Correspondence",
journal = j-CAN-J-MATH,
volume = "63",
number = "3",
pages = "591--615",
month = jun,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-015-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We calculate reducibility for the representations of
metaplectic groups induced from cuspidal
representations of maximal parabolic subgroups via
theta correspondence, in terms of the analogous
representations of the odd orthogonal groups. We also
describe the lifts of all relevant subquotients.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lee:2011:MQC,
author = "Edward Lee",
title = "A Modular Quintic {Calabi--Yau} Threefold of Level
$55$",
journal = j-CAN-J-MATH,
volume = "63",
number = "3",
pages = "616--633",
month = jun,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-016-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this note we search the parameter space of
Horrocks-Mumford quintic threefolds and locate a
Calabi--Yau threefold that is modular, in the sense
that the L-function of its middle-dimensional
cohomology is associated with a classical modular form
of weight 4 and level 55.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lu:2011:HMF,
author = "Guangshi L{\"u}",
title = "On Higher Moments of {Fourier} Coefficients of
Holomorphic Cusp Forms",
journal = j-CAN-J-MATH,
volume = "63",
number = "3",
pages = "634--647",
month = jun,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-010-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let S$_k$ ({\Gamma}) be the space of holomorphic cusp
forms of even integral weight k for the full modular
group. Let {\lambda}$_f$ (n) and {\lambda}$_g$ (n) be
the n-th normalized Fourier coefficients of two
holomorphic Hecke eigencuspforms f(z), g(z) {\in} S$_k$
({\Gamma}), respectively. In this paper we are able to
show the following results about higher moments of
Fourier coefficients of holomorphic cusp forms. (i) For
any {\epsilon} > 0, we have \sum n {\leq} x
{\lambda}$_f^5$ (n) < < $_{f,{\epsilon}}$
x$^{(15/16)+{\epsilon}}$ and \sum n {\leq} x
{\lambda}$_f^7$ (n) < < $_{f,{\epsilon}}$
x$^{(63/64)+{\epsilon}}$. (ii) If sym$^3$ {\pi}$_f$
\ncong sym$^3$ {\pi}$_g$, then for any {\epsilon} > 0,
we have \sum n {\leq} x {\lambda}$_f^3$
(n){\lambda}$_g^3$ (n) < < $_{f,{\epsilon}}$
x$^{(31/32) +{\epsilon}}$; If sym$^2$ {\pi}$_f$ \ncong
sym$^2$ {\pi}$_g$, then for any {\epsilon} > 0, we have
\sum n {\leq} x {\lambda}$_f^4$ (n){\lambda}$_g^2$
(n)=cxlogx +c{\prime}x+O$_{f,{\epsilon}}$
(x$^{(31/32)+{\epsilon}}$); If sym$^2$ {\pi}$_f$ \ncong
sym$^2$ {\pi}$_g$ and sym$^4$ {\pi}$_f$ \ncong sym$^4$
{\pi}$_g$, then for any {\epsilon} > 0, we have \sum n
{\leq} x {\lambda}$_f^4$ (n){\lambda}$_g^4$
(n)=xP(logx)+ O$_{f,{\epsilon}}$ (
x$^{(127/128)+{\epsilon}}$), where P(x) is a polynomial
of degree 3.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ngai:2011:SAL,
author = "Sze-Man Ngai",
title = "Spectral Asymptotics of {Laplacians} Associated with
One-dimensional Iterated Function Systems with
Overlaps",
journal = j-CAN-J-MATH,
volume = "63",
number = "3",
pages = "648--688",
month = jun,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-011-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We set up a framework for computing the spectral
dimension of a class of one-dimensional self-similar
measures that are defined by iterated function systems
with overlaps and satisfy a family of second-order
self-similar identities. As applications of our result
we obtain the spectral dimension of important measures
such as the infinite Bernoulli convolution associated
with the golden ratio and convolutions of Cantor-type
measures. The main novelty of our result is that the
iterated function systems we consider are not
post-critically finite and do not satisfy the
well-known open set condition.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Olphert:2011:HRW,
author = "Sean Olphert and Stephen C. Power",
title = "Higher Rank Wavelets",
journal = j-CAN-J-MATH,
volume = "63",
number = "3",
pages = "689--720",
month = jun,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-012-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "A theory of higher rank multiresolution analysis is
given in the setting of abelian multiscalings. This
theory enables the construction, from a higher rank
MRA, of finite wavelet sets whose multidilations have
translates forming an orthonormal basis in $L^2(R^d)$.
While tensor products of uniscaled MRAs provide simple
examples we construct many nonseparable higher rank
wavelets. In particular we construct $Latin square
wavelets$ as rank 2 variants of Haar wavelets. Also we
construct nonseparable scaling functions for rank 2
variants of Meyer wavelet scaling functions, and we
construct the associated nonseparable wavelets with
compactly supported Fourier transforms. On the other
hand we show that compactly supported scaling functions
for biscaled MRAs are necessarily separable.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Autin:2011:ICV,
author = "Aymeric Autin",
title = "Isoresonant Complex-valued Potentials and Symmetries",
journal = j-CAN-J-MATH,
volume = "63",
number = "4",
pages = "721--754",
month = aug,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-031-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $X$ be a connected Riemannian manifold such that
the resolvent of the free Laplacian $(\Delta-z)^{-1}$,
$z\in\mathbb{C} \setminus \mathbb{R}^+$, has a
meromorphic continuation through $\mathbb{R}^+$. The
poles of this continuation are called resonances. When
$X$ has some symmetries, we construct complex-valued
potentials, $V$, such that the resolvent of $\Delta+V$,
which has also a meromorphic continuation, has the same
resonances with multiplicities as the free Laplacian.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chu:2011:GMS,
author = "Kenneth C. K. Chu",
title = "On the Geometry of the Moduli Space of Real Binary
Octics",
journal = j-CAN-J-MATH,
volume = "63",
number = "4",
pages = "755--797",
month = aug,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-026-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "The moduli space of smooth real binary octics has five
connected components. They parametrize the real binary
octics whose defining equations have 0,...,4
complex-conjugate pairs of roots respectively. We show
that each of these five components has a real
hyperbolic structure in the sense that each is
isomorphic as a real-analytic manifold to the quotient
of an open dense subset of 5-dimensional real
hyperbolic space {\bf RH}$^5$ by the action of an
arithmetic subgroup of Isom( {\bf RH}$^5$). These
subgroups are commensurable to discrete hyperbolic
reflection groups, and the Vinberg diagrams of the
latter are computed.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Daws:2011:RMF,
author = "Matthew Daws",
title = "Representing Multipliers of the {Fourier} Algebra on
Non-Commutative {$L^p$} Spaces",
journal = j-CAN-J-MATH,
volume = "63",
number = "4",
pages = "798--825",
month = aug,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-020-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We show that the multiplier algebra of the Fourier
algebra on a locally compact group G can be
isometrically represented on a direct sum on
non-commutative L$^p$ spaces associated with the right
von Neumann algebra of G. The resulting image is the
idealiser of the image of the Fourier algebra. If these
spaces are given their canonical operator space
structure, then we get a completely isometric
representation of the completely bounded multiplier
algebra. We make a careful study of the non-commutative
L$^p$ spaces we construct and show that they are
completely isometric to those considered recently by
Forrest, Lee, and Samei. We improve a result of theirs
about module homomorphisms. We suggest a definition of
a Figa-Talamanca-Herz algebra built out of these
non-commutative L$^p$ spaces, say A$_p$ ( {\wedge} G).
It is shown that A$_2$ ( {\wedge} G) is isometric to
L$^1$ (G), generalising the abelian situation.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Errthum:2011:SMS,
author = "Eric Errthum",
title = "Singular Moduli of {Shimura} Curves",
journal = j-CAN-J-MATH,
volume = "63",
number = "4",
pages = "826--861",
month = aug,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-023-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "The j-function acts as a parametrization of the
classical modular curve. Its values at complex
multiplication (CM) points are called singular moduli
and are algebraic integers. A Shimura curve is a
generalization of the modular curve and, if the Shimura
curve has genus 0, a rational parameterizing function
exists and when evaluated at a CM point is again
algebraic over {\bf Q}. This paper shows that the
coordinate maps given by N. Elkies for the Shimura
curves associated to the quaternion algebras with
discriminants 6 and 10 are Borcherds lifts of
vector-valued modular forms. This property is then used
to explicitly compute the rational norms of singular
moduli on these curves. This method not only verifies
conjectural values for the rational CM points, but also
provides a way of algebraically calculating the norms
of CM points with arbitrarily large negative
discriminant.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hosokawa:2011:LCC,
author = "Takuya Hosokawa and Pekka J. Nieminen and Sh{\^u}ichi
Ohno",
title = "Linear Combinations of Composition Operators on the
{Bloch} Spaces",
journal = j-CAN-J-MATH,
volume = "63",
number = "4",
pages = "862--877",
month = aug,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-008-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We characterize the compactness of linear combinations
of analytic composition operators on the Bloch space.
We also study their boundedness and compactness on the
little Bloch space.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Howard:2011:TGT,
author = "Benjamin Howard and Christopher Manon and John
Millson",
title = "The Toric Geometry of Triangulated Polygons in
{Euclidean} Space",
journal = j-CAN-J-MATH,
volume = "63",
number = "4",
pages = "878--937",
month = aug,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-021-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Speyer and Sturmfels associated Gr{\"o}bner toric
degenerations Gr $_2$ ( {\bf C}$^n$)$^T$ of Gr $_2$ (
{\bf C}$^n$) with each trivalent tree $T$ having n
leaves. These degenerations induce toric degenerations
M$_r^T$ of M$_r$, the space of n ordered, weighted (by
{\bf r}) points on the projective line. Our goal in
this paper is to give a geometric (Euclidean polygon)
description of the toric fibers and describe the action
of the compact part of the torus as {``bendings of
polygons''}. We prove the conjecture of Foth and Hu
that the toric fibers are homeomorphic to the spaces
defined by Kamiyama and Yoshida.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Li-Bland:2011:ACA,
author = "David Li-Bland",
title = "{AV--Courant} Algebroids and Generalized {CR}
Structures",
journal = j-CAN-J-MATH,
volume = "63",
number = "4",
pages = "938--960",
month = aug,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-009-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We construct a generalization of Courant algebroids
that are classified by the third cohomology group H$^3$
(A,V), where A is a Lie Algebroid, and V is an
A-module. We see that both Courant algebroids and
$E$$^1$ (M) structures are examples of them. Finally we
introduce generalized CR structures on a manifold,
which are a generalization of generalized complex
structures, and show that every CR structure and
contact structure is an example of a generalized CR
structure.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bouclet:2011:LFE,
author = "Jean-Marc Bouclet",
title = "Low Frequency Estimates for Long Range Perturbations
in Divergence Form",
journal = j-CAN-J-MATH,
volume = "63",
number = "5",
pages = "961--991",
month = oct,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-022-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We prove a uniform control as $z \rightarrow 0$ for
the resolvent $(P-z)^{-1}$ of long range perturbations
$P$ of the Euclidean Laplacian in divergence form by
combining positive commutator estimates and properties
of Riesz transforms. These estimates hold in dimension
$d \geq 3$ when $P$ is defined on ${\bf R}^d$ and in
dimension $d \geq 2$ when $P$ is defined outside a
compact obstacle with Dirichlet boundary conditions.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bruin:2011:AGT,
author = "Nils Bruin and Kevin Doerksen",
title = "The Arithmetic of Genus Two Curves with $(4,4)$-Split
{Jacobians}",
journal = j-CAN-J-MATH,
volume = "63",
number = "5",
pages = "992--1024",
month = oct,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-039-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we study genus $2$ curves whose
Jacobians admit a polarized $(4,4)$-isogeny to a
product of elliptic curves. We consider base fields of
characteristic different from $2$ and $3$, which we do
not assume to be algebraically closed. We obtain a full
classification of all principally polarized abelian
surfaces that can arise from gluing two elliptic curves
along their $4$-torsion, and we derive the relation
their absolute invariants satisfy. As an intermediate
step, we give a general description of Richelot
isogenies between Jacobians of genus $2$ curves, where
previously only Richelot isogenies with kernels that
are pointwise defined over the base field were
considered. Our main tool is a Galois theoretic
characterization of genus $2$ curves admitting multiple
Richelot isogenies.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Clouatre:2011:USR,
author = "Rapha{\"e}l Clou{\^a}tre",
title = "Universal Series on a {Riemann} Surface",
journal = j-CAN-J-MATH,
volume = "63",
number = "5",
pages = "1025--1037",
month = oct,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-013-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Every holomorphic function on a compact subset of a
Riemann surface can be uniformly approximated by
partial sums of a given series of functions. Those
functions behave locally like the classical fundamental
solutions of the Cauchy--Riemann operator in the
plane.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Cohen:2011:CPR,
author = "D. Cohen and G. Denham and M. Falk and A. Varchenko",
title = "Critical Points and Resonance of Hyperplane
Arrangements",
journal = j-CAN-J-MATH,
volume = "63",
number = "5",
pages = "1038--1057",
month = oct,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-028-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "If {\Phi}$_{{\lambda}}$ is a master function
corresponding to a hyperplane arrangement $A$ and a
collection of weights {\lambda}, we investigate the
relationship between the critical set of
{\Phi}$_{{\lambda}}$, the variety defined by the
vanishing of the one-form {\omega}$_{{\lambda}}$ = d
log{\Phi}$_{{\lambda}}$, and the resonance of
{\lambda}. For arrangements satisfying certain
conditions, we show that if {\lambda} is resonant in
dimension p, then the critical set of
{\Phi}$_{{\lambda}}$ has codimension at most p. These
include all free arrangements and all rank 3
arrangements.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Easton:2011:CS,
author = "Robert W. Easton",
title = "{$S_3$}-covers of Schemes",
journal = j-CAN-J-MATH,
volume = "63",
number = "5",
pages = "1058--1082",
month = oct,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-045-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We analyze flat $S_3$-covers of schemes, attempting to
create structures parallel to those found in the
abelian and triple cover theories. We use an initial
local analysis as a guide in finding a global
description.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kaletha:2011:DSI,
author = "Tasho Kaletha",
title = "Decomposition of Splitting Invariants in Split Real
Groups",
journal = j-CAN-J-MATH,
volume = "63",
number = "5",
pages = "1083--1106",
month = oct,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-024-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "For a maximal torus in a quasi-split semi-simple
simply-connected group over a local field of
characteristic 0, Langlands and Shelstad constructed a
cohomological invariant called the splitting invariant,
which is an important component of their endoscopic
transfer factors. We study this invariant in the case
of a split real group and prove a decomposition theorem
which expresses this invariant for a general torus as a
product of the corresponding invariants for simple
tori. We also show how this reduction formula allows
for the comparison of splitting invariants between
different tori in the given real group.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Liu:2011:GRP,
author = "Baiying Liu",
title = "Genericity of Representations of $p$-Adic {${\rm
Sp}_{2 n}$} and Local {Langlands} Parameters",
journal = j-CAN-J-MATH,
volume = "63",
number = "5",
pages = "1107--1136",
month = oct,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-017-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let G be the F-rational points of the symplectic group
Sp$_{2n}$, where F is a non-Archimedean local field of
characteristic 0. Cogdell, Kim, Piatetski-Shapiro, and
Shahidi constructed local Langlands functorial lifting
from irreducible generic representations of G to
irreducible representations of GL$_{2n+1}$ (F). Jiang
and Soudry constructed the descent map from irreducible
supercuspidal representations of GL$_{2n+1}$ (F) to
those of G, showing that the local Langlands functorial
lifting from the irreducible supercuspidal generic
representations is surjective. In this paper, based on
above results, using the same descent method of
studying SO$_{2n+1}$ as Jiang and Soudry, we will show
the rest of local Langlands functorial lifting is also
surjective, and for any local Langlands parameter
{\SGMLvarphi} {\in} {\Phi}(G), we construct a
representation {\sigma} such that {\SGMLvarphi} and
{\sigma} have the same twisted local factors. As one
application, we prove the G-case of a conjecture of
Gross-Prasad and Rallis, that is, a local Langlands
parameter {\SGMLvarphi} {\in} {\Phi}(G) is generic,
i.e., the representation attached to {\SGMLvarphi} is
generic, if and only if the adjoint L-function of
{\SGMLvarphi} is holomorphic at s=1. As another
application, we prove for each Arthur parameter {\psi},
and the corresponding local Langlands parameter
{\SGMLvarphi}$_{{\psi}}$, the representation attached
to {\SGMLvarphi}$_{{\psi}}$ is generic if and only if
{\SGMLvarphi}$_{{\psi}}$ is tempered.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Moy:2011:DAP,
author = "Allen Moy",
title = "Distribution Algebras on $p$-adic Groups and {Lie}
Algebras",
journal = j-CAN-J-MATH,
volume = "63",
number = "5",
pages = "1137--1160",
month = oct,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-025-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "When F is a p-adic field, and G= {\bf G} (F) is the
group of F-rational points of a connected algebraic
F-group, the complex vector space $H$ (G) of compactly
supported locally constant distributions on G has a
natural convolution product that makes it into a {\bf
C} -algebra (without an identity) called the Hecke
algebra. The Hecke algebra is a partial analogue for
p-adic groups of the enveloping algebra of a Lie group.
However, $H$ (G) has drawbacks such as the lack of an
identity element, and the process G {\rightarrow} $H$
(G) is not a functor. Bernstein introduced an
enlargement $H$ {\wedge} (G) of $H$ (G). The algebra
$H$ {\wedge} (G) consists of the distributions that are
left essentially compact. We show that the process G
{\rightarrow} $H$ {\wedge} (G) is a functor. If {\tau}:
G {\rightarrow}H is a morphism of p-adic groups, let
F({\tau}) : $H$ {\wedge} (G) {\rightarrow} $H$ {\wedge}
(H) be the morphism of {\bf C} -algebras. We identify
the kernel of F({\tau}) in terms of Ker({\tau}). In the
setting of p-adic Lie algebras, with {\bf g} a
reductive Lie algebra, {\bf m} a Levi, and {\tau}: {\bf
g} {\rightarrow} {\bf m} the natural projection, we
show that F({\tau}) maps G-invariant distributions on
$G$ to N$_G$ ( {\bf m} )-invariant distributions on
{\bf m}. Finally, we exhibit a natural family of
G-invariant essentially compact distributions on {\bf
g} associated with a G-invariant non-degenerate
symmetric bilinear form on {\bf g} and in the case of
SL(2) show how certain members of the family can be
moved to the group.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Neuwirth:2011:TFM,
author = "Stefan Neuwirth and {\'E}ric Ricard",
title = "Transfer of {Fourier} Multipliers into {Schur}
Multipliers and Sumsets in a Discrete Group",
journal = j-CAN-J-MATH,
volume = "63",
number = "5",
pages = "1161--1187",
month = oct,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-053-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We inspect the relationship between relative Fourier
multipliers on noncommutative Lebesgue-Orlicz spaces of
a discrete group $\varGamma$ and relative
Toeplitz-Schur multipliers on
Schatten-von-Neumann-Orlicz classes. Four applications
are given: lacunary sets, unconditional Schauder bases
for the subspace of a Lebesgue space determined by a
given spectrum $\varLambda\subseteq\varGamma$, the norm
of the Hilbert transform and the Riesz projection on
Schatten-von-Neumann classes with exponent a power of
2, and the norm of Toeplitz Schur multipliers on
Schatten-von-Neumann classes with exponent less than
1.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Sliwa:2011:CSN,
author = "Wies{\l}aw {\'S}liwa and Agnieszka Ziemkowska",
title = "On Complemented Subspaces of Non-{Archimedean} Power
Series Spaces",
journal = j-CAN-J-MATH,
volume = "63",
number = "5",
pages = "1188--1200",
month = oct,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-018-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "The non-archimedean power series spaces, A$_1$ (a) and
A$_{{\infty}}$ (b), are the best known and most
important examples of non-archimedean nuclear
Fr{\'e}chet spaces. We prove that the range of every
continuous linear map from A$_p$ (a) to A$_q$ (b) has a
Schauder basis if either p=1 or p={\infty} and the set
M$_{b,a}$ of all bounded limit points of the double
sequence (b$_i$ /a$_j$ )$_{i,j {\in} N}$ is bounded. It
follows that every complemented subspace of a power
series space A$_p$ (a) has a Schauder basis if either
p=1 or p={\infty} and the set M$_{a,a}$ is bounded.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Salem:2011:RTF,
author = "Walid K. Abou Salem and Catherine Sulem",
title = "Resonant Tunneling of Fast Solitons through Large
Potential Barriers",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1201--1219",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-029-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We rigorously study the resonant tunneling of fast
solitons through large potential barriers for the
nonlinear Schr{\"o}dinger equation in one dimension.
Our approach covers the case of general nonlinearities,
both local and Hartree (nonlocal).",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Baake:2011:SSP,
author = "Michael Baake and Rudolf Scharlau and Peter Zeiner",
title = "Similar Sublattices of Planar Lattices",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1220--1237",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-019-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "The similar sublattices of a planar lattice can be
classified via its multiplier ring. The latter is the
ring of rational integers in the generic case, and an
order in an imaginary quadratic field otherwise.
Several classes of examples are discussed, with special
emphasis on concrete results. In particular, we derive
Dirichlet series generating functions for the number of
distinct similar sublattices of a given index, and
relate them to zeta functions of orders in imaginary
quadratic fields.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bump:2011:CBI,
author = "Daniel Bump and Maki Nakasuji",
title = "{Casselman}'s Basis of {Iwahori} Vectors and the
{Bruhat} Order",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1238--1253",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-042-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "W. Casselman defined a basis $f_u$ of Iwahori fixed
vectors of a spherical representation $(\pi, V)$ of a
split semisimple $p$-adic group $G$ over a
nonarchimedean local field $F$ by the condition that it
be dual to the intertwining operators, indexed by
elements $u$ of the Weyl group $W$. On the other hand,
there is a natural basis $\psi_u$, and one seeks to
find the transition matrices between the two bases.
Thus, let $f_u = \sum_v \tilde{m} (u, v) \psi_v$ and
$\psi_u = \sum_v m (u, v) f_v$. Using the Iwahori-Hecke
algebra we prove that if a combinatorial condition is
satisfied, then $m (u, v) = \prod_{\alpha} \frac{1 -
q^{- 1} \mathbf{z}^{\alpha}}{1 -\mathbf{z}^{\alpha}}$,
where $\mathbf z$ are the Langlands parameters for the
representation and $\alpha$ runs through the set $S (u,
v)$ of positive coroots $\alpha \in \hat{\Phi}$ (the
dual root system of $G$) such that $u \leqslant v
r_\alpha < v$ with $r_{\alpha}$ the reflection
corresponding to $\alpha$. The condition is
conjecturally always satisfied if $G$ is simply-laced
and the Kazhdan--Lusztig polynomial $P_{w_0 v, w_0 u} =
1$ with $w_0$ the long Weyl group element. There is a
similar formula for $\tilde{m}$ conjecturally satisfied
if $P_{u, v} = 1$. This leads to various combinatorial
conjectures.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{DAzevedo:2011:CCP,
author = "Antonio Breda D'Azevedo and Gareth A. Jones and Egon
Schulte",
title = "Constructions of Chiral Polytopes of Small Rank",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1254--1283",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-033-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "An abstract polytope of rank $n$ is said to be chiral
if its automorphism group has precisely two orbits on
the flags, such that adjacent flags belong to distinct
orbits. This paper describes a general method for
deriving new finite chiral polytopes from old finite
chiral polytopes of the same rank. In particular, the
technique is used to construct many new examples in
ranks $3$, $4$, and $5$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Dewar:2011:NER,
author = "Michael Dewar",
title = "Non-Existence of {Ramanujan} Congruences in Modular
Forms of Level Four",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1284--1306",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-027-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Ramanujan famously found congruences like p(5n+4)
{\equiv} 0 mod 5 for the partition function. We provide
a method to find all simple congruences of this type in
the coefficients of the inverse of a modular form on
{\Gamma}$_1$ (4) that is non-vanishing on the upper
half plane. This is applied to answer open questions
about the (non)-existence of congruences in the
generating functions for overpartitions, crank
differences, and 2-colored F-partitions.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Dimitrov:2011:BBW,
author = "Ivan Dimitrov and Ivan Penkov",
title = "A {Bott--Borel--Weil} Theorem for Diagonal
Ind-groups",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1307--1327",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-032-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "A diagonal ind-group is a direct limit of classical
affine algebraic groups of growing rank under a class
of inclusions that contains the inclusion SL(n)\to
SL(2n), \quad M\mapsto \begin{pmatrix}M {\&} 0 \\ 0
{\&} M \end{pmatrix} as a typical special case. If $G$
is a diagonal ind-group and $B\subset G$ is a Borel
ind-subgroup, we consider the ind-variety $G/B$ and
compute the cohomology
$H^\ell(G/B,\mathcal{O}_{-\lambda})$ of any
$G$-equivariant line bundle $\mathcal{O}_{-\lambda}$ on
$G/B$. It has been known that, for a generic $\lambda$,
all cohomology groups of $\mathcal{O}_{-\lambda}$
vanish, and that a non-generic equivariant line bundle
$\mathcal{O}_{-\lambda}$ has at most one nonzero
cohomology group. The new result of this paper is a
precise description of when
$H^j(G/B,\mathcal{O}_{-\lambda})$ is nonzero and the
proof of the fact that, whenever nonzero, $H^j(G/B,
\mathcal{O}_{-\lambda})$ is a $G$-module dual to a
highest weight module. The main difficulty is in
defining an appropriate analog $W_B$ of the Weyl group,
so that the action of $W_B$ on weights of $G$ is
compatible with the analog of the Demazure ``action''
of the Weyl group on the cohomology of line
bundles. The highest weight corresponding to $H^j(G/B,
\mathcal{O}_{-\lambda})$ is then computed by a
procedure similar to that in the classical
Bott-Borel--Weil theorem.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Gun:2011:CCM,
author = "Sanoli Gun and M. Ram Murty and Purusottam Rath",
title = "On a Conjecture of {Chowla} and {Milnor}",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1328--1344",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-034-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper, we investigate a conjecture due to S.
and P. Chowla and its generalization by Milnor. These
are related to the delicate question of non-vanishing
of $L$-functions associated to periodic functions at
integers greater than $1$. We report on some progress
in relation to these conjectures. In a different vein,
we link them to a conjecture of Zagier on multiple zeta
values and also to linear independence of
polylogarithms.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Jardine:2011:PT,
author = "J. F. Jardine",
title = "Pointed Torsors",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1345--1363",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-058-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "This paper gives a characterization of homotopy fibres
of inverse image maps on groupoids of torsors that are
induced by geometric morphisms, in terms of both
pointed torsors and pointed cocycles, suitably
defined. Cocycle techniques are used to give a complete
description of such fibres, when the underlying
geometric morphism is the canonical stalk on the
classifying topos of a profinite group $G$. If the
torsors in question are defined with respect to a
constant group $H$, then the path components of the
fibre can be identified with the set of continuous maps
from the profinite group $G$ to the group $H$. More
generally, when $H$ is not constant, this set of path
components is the set of continuous maps from a
pro-object in sheaves of groupoids to $H$, which
pro-object can be viewed as a ``Grothendieck
fundamental groupoid''.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Meinrenken:2011:CDO,
author = "Eckhard Meinrenken",
title = "The Cubic {Dirac} Operator for Infinite-Dimensonal
{Lie} Algebras",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1364--1387",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-036-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $\mathfrak{g}=\bigoplus_{i\in\mathbb{Z}}
\mathfrak{g}_i$ be an infinite-dimensional graded Lie
algebra, with $\dim\mathfrak{g}_i < \infty$, equipped
with a non-degenerate symmetric bilinear form $B$ of
degree $0$. The quantum Weil algebra
$\widehat{\mathcal{W}}\mathfrak{g}$ is a completion of
the tensor product of the enveloping and Clifford
algebras of $\mathfrak{g}$. Provided that the
Kac-Peterson class of $\mathfrak{g}$ vanishes, one can
construct a cubic Dirac operator
$\mathcal{D}\in\widehat{\mathcal{W}}(\mathfrak{g})$,
whose square is a quadratic Casimir element. We show
that this condition holds for symmetrizable Kac--Moody
algebras. Extending Kostant's arguments, one obtains
generalized Weyl-Kac character formulas for suitable
``equal rank'' Lie subalgebras of Kac--Moody algebras.
These extend the formulas of G. Landweber for affine
Lie algebras.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Misamore:2011:NEV,
author = "Michael D. Misamore",
title = "Nonabelian {$H^1$} and the {{\'E}tale Van Kampen
Theorem}",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1388--1415",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-030-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Generalized {\'e}tale homotopy pro-groups
{\pi}$_1^{{\'e}t}$ (C, x) associated with pointed,
connected, small Grothendieck sites (C, x) are defined,
and their relationship to Galois theory and the theory
of pointed torsors for discrete groups is explained.
Applications include new rigorous proofs of some
folklore results around {\pi}$_1^{{\'e}t}$ ({\'e}t(X),
x), a description of Grothendieck's short exact
sequence for Galois descent in terms of pointed torsor
trivializations, and a new {\'e}tale van Kampen theorem
that gives a simple statement about a pushout square of
pro-groups that works for covering families that do not
necessarily consist exclusively of monomorphisms. A
corresponding van Kampen result for Grothendieck's
profinite groups {\pi}$_1^{Gal}$ immediately follows.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Shelah:2011:MSF,
author = "Saharon Shelah",
title = "{MAD} Saturated Families and {SANE} Player",
journal = j-CAN-J-MATH,
volume = "63",
number = "6",
pages = "1416--??",
month = dec,
year = "2011",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-057-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:39 MST 2012",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We throw some light on the question: is there a MAD
family (a maximal family of infinite subsets of
$\mathbb{N}$, the intersection of any two is finite)
that is saturated (completely separable \emph{i.e.,}
any $X \subseteq \mathbb{N}$ is included in a finite
union of members of the family \emph{or} includes a
member (and even continuum many members) of the
family). We prove that it is hard to prove the
consistency of the negation: (i) if $2^{\aleph_0} \lt
\aleph_\omega$, then there is such a family; (ii) if
there is no such family, then some situation related to
pcf holds whose consistency is large (and if
${\mathfrak a}_* \gt \aleph_1$ even unknown); (iii) if,
\emph{e.g.,} there is no inner model with measurables,
\emph{then} there is such a family.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Boissiere:2012:ANE,
author = "Samuel Boissi{\`e}re",
title = "Automorphismes naturels de l'espace de {Douady} de
points sur une surface. ({French}). [{Natural}
isomorphisms on the points in a surface in {Douady}
space]",
journal = j-CAN-J-MATH,
volume = "64",
number = "1",
pages = "3--23",
month = feb,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-041-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:45 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "On {\'e}tablit quelques r{\'e}sultats g{\'e}n{\'e}raux
relatifs {\`a} la taille du groupe d'automorphismes de
l'espace de Douady de points sur une surface, puis on
{\'e}tudie quelques propri{\'e}t{\'e}s des
automorphismes provenant d'un automorphisme de la
surface, en particulier leur action sur la cohomologie
et la classification de leurs points fixes.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
language = "French",
}
@Article{Borodachov:2012:LOT,
author = "S. V. Borodachov",
title = "Lower Order Terms of the Discrete Minimal {Riesz}
Energy on Smooth Closed Curves",
journal = j-CAN-J-MATH,
volume = "64",
number = "1",
pages = "24--43",
month = feb,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-038-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:45 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We consider the problem of minimizing the energy of
$N$ points repelling each other on curves in
$\mathbb{R}^d$ with the potential $|x-y|^{-s}$, $s\geq
1$, where $|\, \cdot\, |$ is the Euclidean norm. For a
sufficiently smooth, simple, closed, regular curve, we
find the next order term in the asymptotics of the
minimal $s$-energy. On our way, we also prove that at
least for $s\geq 2$, the minimal pairwise distance in
optimal configurations asymptotically equals $L/N$,
$N\to\infty$, where $L$ is the length of the curve.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Carvalho:2012:SRC,
author = "T. M. M. Carvalho and H. N. Moreira and K. Tenenblat",
title = "Surfaces of Rotation with Constant Mean Curvature in
the Direction of a Unitary Normal Vector Field in a
{Randers} Space",
journal = j-CAN-J-MATH,
volume = "64",
number = "1",
pages = "44--80",
month = feb,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-047-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:45 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We consider the Randers space $(V^n,F_b)$ obtained by
perturbing the Euclidean metric by a translation,
$F_b=\alpha+\beta$, where $\alpha$ is the Euclidean
metric and $\beta$ is a $1$-form with norm $b$, $0\leq
b\lt 1$. We introduce the concept of a hypersurface
with constant mean curvature in the direction of a
unitary normal vector field. We obtain the ordinary
differential equation that characterizes the rotational
surfaces $(V^3,F_b)$ of constant mean curvature (cmc)
in the direction of a unitary normal vector field.
These equations reduce to the classical equation of the
rotational cmc surfaces in Euclidean space, when $b=0$.
It also reduces to the equation that characterizes the
minimal rotational surfaces in $(V^3,F_b)$ when $H=0$,
obtained by M. Souza and K. Tenenblat. Although the
differential equation depends on the choice of the
normal direction, we show that both equations determine
the same rotational surface, up to a reflection. We
also show that the round cylinders are cmc surfaces in
the direction of the unitary normal field. They are
generated by the constant solution of the differential
equation. By considering the equation as a nonlinear
dynamical system, we provide a qualitative analysis,
for $0\lt b\lt \frac{\sqrt{3}}{3}$. Using the concept
of stability and considering the linearization around
the single equilibrium point (the constant solution),
we verify that the solutions are locally asymptotically
stable spirals. This is proved by constructing a
Lyapunov function for the dynamical system and by
determining the basin of stability of the equilibrium
point. The surfaces of rotation generated by such
solutions tend asymptotically to one end of the
cylinder.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{David:2012:PRE,
author = "C. David and J. Wu",
title = "Pseudoprime Reductions of Elliptic Curves",
journal = j-CAN-J-MATH,
volume = "64",
number = "1",
pages = "81--101",
month = feb,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-044-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:45 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $E$ be an elliptic curve over $\mathbb Q$ without
complex multiplication, and for each prime $p$ of good
reduction, let $n_E(p) = | E(\mathbb F_p) |$. For any
integer $b$, we consider elliptic pseudoprimes to the
base $b$. More precisely, let $Q_{E,b}(x)$ be the
number of primes $p \leq x$ such that $b^{n_E(p)}
\equiv b\,({\rm mod}\,n_E(p))$, and let $\pi_{E,
b}^{\operatorname{pseu}}(x)$ be the number of
compositive $n_E(p)$ such that $b^{n_E(p)} \equiv
b\,({\rm mod}\,n_E(p))$ (also called elliptic curve
pseudoprimes). Motivated by cryptography applications,
we address the problem of finding upper bounds for
$Q_{E,b}(x)$ and $\pi_{E, b}^{\operatorname{pseu}}(x)$,
generalising some of the literature for the classical
pseudoprimes to this new setting.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ishii:2012:QCI,
author = "Atsushi Ishii and Masahide Iwakiri",
title = "{Quandle} Cocycle Invariants for Spatial Graphs and
Knotted Handlebodies",
journal = j-CAN-J-MATH,
volume = "64",
number = "1",
pages = "102--122",
month = feb,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-035-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:45 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We introduce a flow of a spatial graph and see how
invariants for spatial graphs and handlebody-links are
derived from those for flowed spatial graphs. We define
a new quandle (co)homology by introducing a subcomplex
of the rack chain complex. Then we define quandle
colorings and quandle cocycle invariants for spatial
graphs and handlebody-links.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lee:2012:GPP,
author = "Jae-Hyouk Lee",
title = "{Gosset} Polytopes in {Picard} Groups of {del Pezzo}
Surfaces",
journal = j-CAN-J-MATH,
volume = "64",
number = "1",
pages = "123--150",
month = feb,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-063-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:45 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this article, we study the correspondence between
the geometry of del Pezzo surfaces $S_{r}$ and the
geometry of the $r$-dimensional Gosset polytopes
$(r-4)_{21}$. We construct Gosset polytopes
$(r-4)_{21}$ in $\operatorname{Pic}
S_{r}\otimes\mathbb{Q}$ whose vertices are lines, and
we identify divisor classes in $\operatorname{Pic}
S_{r}$ corresponding to $(a-1)$-simplexes ($a\leq r$),
$(r-1)$-simplexes and $(r-1)$-crosspolytopes of the
polytope $(r-4)_{21}$. Then we explain how these
classes correspond to skew $a$-lines($a\leq r$),
exceptional systems, and rulings, respectively. As an
application, we work on the monoidal transform for
lines to study the local geometry of the polytope
$(r-4)_{21}$. And we show that the Gieser
transformation and the Bertini transformation induce a
symmetry of polytopes $3_{21}$ and $4_{21}$,
respectively.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Miller:2012:MRE,
author = "Steven J. Miller and Siman Wong",
title = "Moments of the Rank of Elliptic Curves",
journal = j-CAN-J-MATH,
volume = "64",
number = "1",
pages = "151--182",
month = feb,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-037-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:45 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Fix an elliptic curve $E/\mathbb{Q}$ and assume the
Riemann Hypothesis for the $L$-function $L(E_D, s)$ for
every quadratic twist $E_D$ of $E$ by $D\in\mathbb{Z}$.
We combine Weil's explicit formula with techniques of
Heath-Brown to derive an asymptotic upper bound for the
weighted moments of the analytic rank of $E_D$. We
derive from this an upper bound for the density of
low-lying zeros of $L(E_D, s)$ that is compatible with
the random matrix models of Katz and Sarnak. We also
show that for any unbounded increasing function $f$ on
$\mathbb{R}$, the analytic rank and (assuming in
addition the Birch and Swinnerton-Dyer conjecture) the
number of integral points of $E_D$ are less than $f(D)$
for almost all $D$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Nowak:2012:NPL,
author = "Adam Nowak and Krzysztof Stempak",
title = "Negative Powers of {Laguerre} Operators",
journal = j-CAN-J-MATH,
volume = "64",
number = "1",
pages = "183--216",
month = feb,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-040-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:45 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We study negative powers of Laguerre differential
operators in $\mathbb{R}^d$, $d\ge1$. For these
operators we prove two-weight $L^p-L^q$ estimates with
ranges of $q$ depending on $p$. The case of the
harmonic oscillator (Hermite operator) has recently
been treated by Bongioanni and Torrea by using a
straightforward approach of kernel estimates. Here
these results are applied in certain Laguerre settings.
The procedure is fairly direct for Laguerre function
expansions of Hermite type, due to some monotonicity
properties of the kernels involved. The case of
Laguerre function expansions of convolution type is
less straightforward. For half-integer type indices
$\alpha$ we transfer the desired results from the
Hermite setting and then apply an interpolation
argument based on a device we call the convexity
principle to cover the continuous range of $\alpha \in
[-1/2, \infty)^d$. Finally, we investigate negative
powers of the Dunkl harmonic oscillator in the context
of a finite reflection group acting on $\mathbb{R}^d$
and isomorphic to $\mathbb Z^d_2$. The two weight
$L^p-L^q$ estimates we obtain in this setting are
essentially consequences of those for Laguerre function
expansions of convolution type.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Tang:2012:SCD,
author = "Lin Tang",
title = "{$W_\omega^2, p$}-Solvability of the
{Cauchy--Dirichlet} Problem for Nondivergence Parabolic
Equations with {BMO} Coefficients",
journal = j-CAN-J-MATH,
volume = "64",
number = "1",
pages = "217--??",
month = feb,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-054-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Feb 4 10:03:45 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper, we establish the regularity of strong
solutions to nondivergence parabolic equations with BMO
coefficients in nondoubling weighted spaces.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Allcock:2012:TBS,
author = "Daniel Allcock",
title = "Triangles of {Baumslag--Solitar} Groups",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "241--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-062-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Our main result is that many triangles of
Baumslag--Solitar groups collapse to finite groups,
generalizing a famous example of Hirsch and other
examples due to several authors. A triangle of
Baumslag--Solitar groups means a group with three
generators, cyclically ordered, with each generator
conjugating some power of the previous one to another
power. There are six parameters, occurring in pairs,
and we show that the triangle fails to be developable
whenever one of the parameters divides its partner,
except for a few special cases. Furthermore, under
fairly general conditions, the group turns out to be
finite and solvable of derived length $\leq 3$. We
obtain a lot of information about finite quotients,
even when we cannot determine developability.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bell:2012:CMA,
author = "Jason P. Bell and Kevin G. Hare",
title = "Corrigendum to {``On {$\mathbb{Z}$}-modules of
Algebraic Integers''}",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "254--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-072-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
note = "See \cite{Bell:2009:MAI}.",
abstract = "We fix a mistake in the proof of Theorem 1.6 in the
paper in the title.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chen:2012:CCS,
author = "Yanping Chen and Yong Ding and Xinxia Wang",
title = "Compactness of Commutators for Singular Integrals on
{Morrey} Spaces",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "257--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-043-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we characterize the compactness of the
commutator $[b,T]$ for the singular integral operator
on the Morrey spaces $L^{p,\lambda}(\mathbb R^n)$. More
precisely, we prove that if $b\in
\operatorname{VMO}(\mathbb R^n)$, the $\operatorname
{BMO} (\mathbb R^n)$-closure of $C_c^\infty(\mathbb
R^n)$, then $[b,T]$ is a compact operator on the Morrey
spaces $L^{p,\lambda}(\mathbb R^n)$ for $1\lt p\lt
\infty$ and $0\lt \lambda\lt n$. Conversely, if $b\in
\operatorname{BMO}(\mathbb R^n)$ and $[b,T]$ is a
compact operator on the $L^{p,\,\lambda}(\mathbb R^n)$
for some $p\ (1\lt p\lt \infty)$, then $b\in
\operatorname {VMO}(\mathbb R^n)$. Moreover, the
boundedness of a rough singular integral operator $T$
and its commutator $[b,T]$ on $L^{p,\,\lambda}(\mathbb
R^n)$ are also given. We obtain a sufficient condition
for a subset in Morrey space to be a strongly
pre-compact set, which has interest in its own right.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Dahmen:2012:LLM,
author = "Sander R. Dahmen and Soroosh Yazdani",
title = "Level Lowering Modulo Prime Powers and Twisted
{Fermat} Equations",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "282--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-059-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We discuss a clean level lowering theorem modulo prime
powers for weight $2$ cusp forms. Furthermore, we
illustrate how this can be used to completely solve
certain twisted Fermat equations $ax^n+by^n+cz^n=0$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hurlburt:2012:HCF,
author = "Chris Hurlburt and Jeffrey Lin Thunder",
title = "{Hermite}'s Constant for Function Fields",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "301--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-046-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We formulate an analog of Hermite's constant for
function fields over a finite field and state a
conjectural value for this analog. We prove our
conjecture in many cases, and prove slightly weaker
results in all other cases.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ingram:2012:CPP,
author = "Patrick Ingram",
title = "Cubic Polynomials with Periodic Cycles of a Specified
Multiplier",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "318--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-093-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We consider cubic polynomials $f(z) = z^3 + a z + b$
defined over $\mathbb{C}(\lambda)$, with a marked point
of period $N$ and multiplier $\lambda$. In the case $N
= 1$, there are infinitely many such objects, and in
the case $N \geq 3$, only finitely many (subject to a
mild assumption). The case $N = 2$ has particularly
rich structure, and we are able to describe all such
cubic polynomials defined over the field
$\bigcup_{n\geq 1}\mathbb{C}(\lambda^{1/n})$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{McKee:2012:SNP,
author = "James McKee and Chris Smyth",
title = "{Salem} Numbers and {Pisot} Numbers via Interlacing",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "345--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-051-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We present a general construction of Salem numbers via
rational functions whose zeros and poles mostly lie on
the unit circle and satisfy an interlacing condition.
This extends and unifies earlier work. We then consider
the ``obvious'' limit points of the set of Salem
numbers produced by our theorems and show that these
are all Pisot numbers, in support of a conjecture of
Boyd. We then show that all Pisot numbers arise in this
way. Combining this with a theorem of Boyd, we produce
all Salem numbers via an interlacing construction.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Meyer:2012:ATS,
author = "Ralf Meyer and Ryszard Nest",
title = "{$C^*$}-Algebras over Topological Spaces: Filtrated
{$K$}-Theory",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "368--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-061-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We define the filtrated K-theory of a
$\mathrm{C}^*$-algebra over a finite topological space
\(X\) and explain how to construct a spectral sequence
that computes the bivariant Kasparov theory over \(X\)
in terms of filtrated K-theory. For finite spaces with
a totally ordered lattice of open subsets, this
spectral sequence becomes an exact sequence as in the
Universal Coefficient Theorem, with the same
consequences for classification. We also exhibit an
example where filtrated K-theory is not yet a complete
invariant. We describe two $\mathrm{C}^*$-algebras over
a space \(X\) with four points that have isomorphic
filtrated K-theory without being
$\mathrm{KK}(X)$-equivalent. For this space \(X\), we
enrich filtrated K-theory by another K-theory functor
to a complete invariant up to
$\mathrm{KK}(X)$-equivalence that satisfies a Universal
Coefficient Theorem.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Rainer:2012:LQM,
author = "Armin Rainer",
title = "Lifting Quasianalytic Mappings over Invariants",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "409--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-049-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $\rho \colon G \to \operatorname{GL}(V)$ be a
rational finite dimensional complex representation of a
reductive linear algebraic group $G$, and let
$\sigma_1,\dots,\sigma_n$ be a system of generators of
the algebra of invariant polynomials $\mathbb C[V]^G$.
We study the problem of lifting mappings $f\colon
\mathbb R^q \supseteq U \to \sigma(V) \subseteq \mathbb
C^n$ over the mapping of invariants
$\sigma=(\sigma_1,\dots,\sigma_n) \colon V \to
\sigma(V)$. Note that $\sigma(V)$ can be identified
with the categorical quotient $V /\!\!/ G$ and its
points correspond bijectively to the closed orbits in
$V$. We prove that if $f$ belongs to a quasianalytic
subclass $\mathcal C \subseteq C^\infty$ satisfying
some mild closedness properties that guarantee
resolution of singularities in $\mathcal C$, e.g., the
real analytic class, then $f$ admits a lift of the same
class $\mathcal C$ after desingularization by local
blow-ups and local power substitutions. As a
consequence we show that $f$ itself allows for a lift
that belongs to
$\operatorname{SBV}_{\operatorname{loc}}$, i.e.,
special functions of bounded variation. If $\rho$ is a
real representation of a compact Lie group, we obtain
stronger versions.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Shafikov:2012:HMB,
author = "Rasul Shafikov and Kaushal Verma",
title = "Holomorphic Mappings between Domains in {$\mathbb
C^2$}",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "429--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-056-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "An extension theorem for holomorphic mappings between
two domains in $\mathbb C^2$ is proved under purely
local hypotheses.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Sherman:2012:CIG,
author = "David Sherman",
title = "On Cardinal Invariants and Generators for {von
Neumann} Algebras",
journal = j-CAN-J-MATH,
volume = "64",
number = "2",
pages = "455--??",
month = apr,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/http://cms.math.ca/10.4153/CJM-2011-048-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Apr 9 15:20:54 MDT 2012",
bibsource = "http://cms.math.ca/cjm/v64/;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We demonstrate how most common cardinal invariants
associated with a von Neumann algebra $\mathcal M$ can
be computed from the decomposability number,
$\operatorname{dens}(\mathcal M)$, and the minimal
cardinality of a generating set,
$\operatorname{gen}(\mathcal M)$. Applications include
the equivalence of the well-known generator problem,
``Is every separably-acting von Neumann algebra
singly-generated?'', with the formally stronger
questions, ``Is every countably-generated von Neumann
algebra singly-generated?'' and ``Is the
$\operatorname{gen}$ invariant monotone?'' Modulo the
generator problem, we determine the range of the
invariant $\bigl( \operatorname{gen}(\mathcal M),
\operatorname{dens}(\mathcal M) \bigr)$, which is
mostly governed by the inequality
$\operatorname{dens}(\mathcal M) \leq \mathfrak
C^{\operatorname{gen}(\mathcal M)}$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chamorro:2012:SFI,
author = "Diego Chamorro",
title = "Some Functional Inequalities on Polynomial Volume
Growth {Lie} Groups",
journal = j-CAN-J-MATH,
volume = "64",
number = "3",
pages = "481--??",
month = jun,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-050-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:29 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this article we study some Sobolev-type
inequalities on polynomial volume growth Lie groups. We
show in particular that improved Sobolev inequalities
can be extended to this general framework without the
use of the Littlewood--Paley decomposition.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Li:2012:LFP,
author = "Wen-Wei Li",
title = "Le lemme fondamental pond{\'e}r{\'e} pour le groupe
m{\'e}taplectique",
journal = j-CAN-J-MATH,
volume = "64",
number = "3",
pages = "497--??",
month = jun,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-088-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:29 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Dans cet article, on {\'e}nonce une variante du lemme
fondamental pond{\'e}r{\'e} d'Arthur pour le groupe
m{\'e}taplectique de Weil, qui sera un ingr{\'e}dient
indispensable de la stabilisation de la formule des
traces. Pour un corps de caract{\'e}ristique
r{\'e}siduelle suffisamment grande, on en donne une
d{\'e}monstration {\`a} l'aide de la m{\'e}thode de
descente, qui est conditionnelle: on admet le lemme
fondamental pond{\'e}r{\'e} non standard sur les
alg{\`e}bres de Lie. Vu les travaux de Chaudouard et
Laumon, on s'attend {\`a} ce que cette condition soit
ult{\'e}rieurement v{\'e}rifi{\'e}e.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Li:2012:SIL,
author = "Zhiqiang Li",
title = "On the Simple Inductive Limits of Splitting Interval
Algebras with Dimension Drops",
journal = j-CAN-J-MATH,
volume = "64",
number = "3",
pages = "544--??",
month = jun,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-060-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:29 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "A K-theoretic classification is given of the simple
inductive limits of finite direct sums of the type I
$C^*$-algebras known as splitting interval algebras
with dimension drops. (These are the subhomogeneous
$C^*$-algebras, each having spectrum a finite union of
points and an open interval, and torsion
$\textrm{K}_1$-group.)",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Nawata:2012:FGS,
author = "Norio Nawata",
title = "Fundamental Group of Simple {$C^*$}-algebras with
Unique Trace {III}",
journal = j-CAN-J-MATH,
volume = "64",
number = "3",
pages = "573--??",
month = jun,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-052-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:29 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We introduce the fundamental group ${\mathcal F}(A)$
of a simple $\sigma$-unital $C^*$-algebra $A$ with
unique (up to scalar multiple) densely defined lower
semicontinuous trace. This is a generalization of
``Fundamental Group of Simple $C^*$-algebras with
Unique Trace I and II'' by Nawata and Watatani. Our
definition in this paper makes sense for stably
projectionless $C^*$-algebras. We show that there exist
separable stably projectionless $C^*$-algebras such
that their fundamental groups are equal to
$\mathbb{R}_+^\times$ by using the classification
theorem of Razak and Tsang. This is a contrast to the
unital case in Nawata and Watatani. This study is
motivated by the work of Kishimoto and Kumjian.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Nekovar:2012:LRA,
author = "Jan Nekov{\'a}r",
title = "Level Raising and Anticyclotomic {Selmer} Groups for
{Hilbert} Modular Forms of Weight Two",
journal = j-CAN-J-MATH,
volume = "64",
number = "3",
pages = "588--??",
month = jun,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-077-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:29 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this article we refine the method of Bertolini and
Darmon and prove several finiteness results for
anticyclotomic Selmer groups of Hilbert modular forms
of parallel weight two.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Pantano:2012:GOR,
author = "Alessandra Pantano and Annegret Paul and Susana A.
Salamanca-Riba",
title = "The Genuine Omega-regular Unitary Dual of the
Metaplectic Group",
journal = j-CAN-J-MATH,
volume = "64",
number = "3",
pages = "669--??",
month = jun,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-075-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:29 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We classify all genuine unitary representations of the
metaplectic group whose infinitesimal character is real
and at least as regular as that of the oscillator
representation. In a previous paper we exhibited a
certain family of representations satisfying these
conditions, obtained by cohomological induction from
the tensor product of a one-dimensional representation
and an oscillator representation. Our main theorem
asserts that this family exhausts the genuine
omega-regular unitary dual of the metaplectic group.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Thomsen:2012:PIC,
author = "Klaus Thomsen",
title = "Pure Infiniteness of the Crossed Product of an
{AH}-Algebra by an Endomorphism",
journal = j-CAN-J-MATH,
volume = "64",
number = "3",
pages = "705--??",
month = jun,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-081-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:29 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "It is shown that simplicity of the crossed product of
a unital AH-algebra with slow dimension growth by an
endomorphism implies that the algebra is also purely
infinite, provided only that the endomorphism leaves no
trace state invariant and takes the unit to a full
projection.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Achab:2012:ABK,
author = "Dehbia Achab and Jacques Faraut",
title = "Analysis of the {Brylinski--Kostant} Model for
Spherical Minimal Representations",
journal = j-CAN-J-MATH,
volume = "64",
number = "4",
pages = "721--??",
month = aug,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-011-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:30 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We revisit with another view point the construction by
R. Brylinski and B. Kostant of minimal representations
of simple Lie groups. We start from a pair $(V,Q)$,
where $V$ is a complex vector space and $Q$ a
homogeneous polynomial of degree 4 on $V$. The manifold
$\Xi $ is an orbit of a covering of ${\rm Conf}(V,Q)$,
the conformal group of the pair $(V,Q)$, in a finite
dimensional representation space. By a generalized
Kantor-Koecher-Tits construction we obtain a complex
simple Lie algebra $\mathfrak g$, and furthermore a
real form ${\mathfrak g}_{\mathbb R}$. The connected
and simply connected Lie group $G_{\mathbb R}$ with
${\rm Lie}(G_{\mathbb R})={\mathfrak g}_{\mathbb R}$
acts unitarily on a Hilbert space of holomorphic
functions defined on the manifold $\Xi $.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Brown:2012:HCP,
author = "Lawrence G. Brown and Hyun Ho Lee",
title = "Homotopy Classification of Projections in the {Corona}
Algebra of a Non-simple {$C^*$}-algebra",
journal = j-CAN-J-MATH,
volume = "64",
number = "4",
pages = "755--??",
month = aug,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-092-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:30 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We study projections in the corona algebra of
$C(X)\otimes K$, where K is the $C^*$-algebra of
compact operators on a separable infinite dimensional
Hilbert space and
$X=[0,1],[0,\infty),(-\infty,\infty)$, or $[0,1]/\{ 0,1
\}$. Using BDF's essential codimension, we determine
conditions for a projection in the corona algebra to be
liftable to a projection in the multiplier algebra. We
also determine the conditions for two projections to be
equal in $K_0$, Murray-von Neumann equivalent,
unitarily equivalent, or homotopic. In light of these
characterizations, we construct examples showing that
the equivalence notions above are all distinct.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Calvaruso:2012:RSG,
author = "Giovanni Calvaruso and Anna Fino",
title = "{Ricci} Solitons and Geometry of Four-dimensional
Non-reductive Homogeneous Spaces",
journal = j-CAN-J-MATH,
volume = "64",
number = "4",
pages = "778--??",
month = aug,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-091-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:30 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We study the geometry of non-reductive $4$-dimensional
homogeneous spaces. In particular, after describing
their Levi-Civita connection and curvature properties,
we classify homogeneous Ricci solitons on these spaces,
proving the existence of shrinking, expanding and
steady examples. For all the non-trivial examples we
find, the Ricci operator is diagonalizable.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chapon:2012:QRW,
author = "Fran{\c{c}}ois Chapon and Manon Defosseux",
title = "Quantum Random Walks and Minors of {Hermitian}
{Brownian} Motion",
journal = j-CAN-J-MATH,
volume = "64",
number = "4",
pages = "805--??",
month = aug,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-064-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:30 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Considering quantum random walks, we construct
discrete-time approximations of the eigenvalues
processes of minors of Hermitian Brownian motion. It
has been recently proved by Adler, Nordenstam, and van
Moerbeke that the process of eigenvalues of two
consecutive minors of a Hermitian Brownian motion is a
Markov process; whereas, if one considers more than two
consecutive minors, the Markov property fails. We show
that there are analog results in the noncommutative
counterpart and establish the Markov property of
eigenvalues of some particular submatrices of Hermitian
Brownian motion.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Haglund:2012:CSC,
author = "J. Haglund and J. Morse and M. Zabrocki",
title = "A Compositional Shuffle Conjecture Specifying Touch
Points of the {Dyck} Path",
journal = j-CAN-J-MATH,
volume = "64",
number = "4",
pages = "822--??",
month = aug,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-078-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:30 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We introduce a $q,t$-enumeration of Dyck paths that
are forced to touch the main diagonal at specific
points and forbidden to touch elsewhere and conjecture
that it describes the action of the Macdonald theory
$\nabla$ operator applied to a Hall--Littlewood
polynomial. Our conjecture refines several earlier
conjectures concerning the space of diagonal harmonics
including the ``shuffle conjecture{\SGMLquot} (Duke J.
Math. $\mathbf {126}$ ($2005$), 195-232) for $\nabla
e_n[X]$. We bring to light that certain generalized
Hall--Littlewood polynomials indexed by compositions
are the building blocks for the algebraic combinatorial
theory of $q,t$-Catalan sequences, and we prove a
number of identities involving these functions.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Helm:2012:MFT,
author = "David Helm and Eric Katz",
title = "Monodromy Filtrations and the Topology of Tropical
Varieties",
journal = j-CAN-J-MATH,
volume = "64",
number = "4",
pages = "845--??",
month = aug,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-067-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:30 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We study the topology of tropical varieties that arise
from a certain natural class of varieties. We use the
theory of tropical degenerations to construct a
natural, ``multiplicity-free'' parameterization of
$\operatorname{Trop}(X)$ by a topological space
$\Gamma_X$ and give a geometric interpretation of the
cohomology of $\Gamma_X$ in terms of the action of a
monodromy operator on the cohomology of $X$. This gives
bounds on the Betti numbers of $\Gamma_X$ in terms of
the Betti numbers of $X$ which constrain the topology
of $\operatorname{Trop}(X)$. We also obtain a
description of the top power of the monodromy operator
acting on middle cohomology of $X$ in terms of the
volume pairing on $\Gamma_X$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hu:2012:BSD,
author = "Ze-Chun Hu and Wei Sun",
title = "Balayage of Semi-{Dirichlet} Forms",
journal = j-CAN-J-MATH,
volume = "64",
number = "4",
pages = "869--??",
month = aug,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-055-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:30 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we study the balayage of semi-Dirichlet
forms. We present new results on balayaged functions
and balayaged measures of semi-Dirichlet forms. Some of
the results are new even in the Dirichlet forms
setting.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hytonen:2012:BCZ,
author = "Tuomas Hyt{\"o}nen and Suile Liu and Dachun Yang and
Dongong Yang",
title = "Boundedness of {Calder{\'o}n--Zygmund} Operators on
Non-homogeneous Metric Measure Spaces",
journal = j-CAN-J-MATH,
volume = "64",
number = "4",
pages = "892--??",
month = aug,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-065-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:30 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $({\mathcal X}, d, \mu)$ be a separable metric
measure space satisfying the known upper doubling
condition, the geometrical doubling condition, and the
non-atomic condition that $\mu(\{x\})=0$ for all
$x\in{\mathcal X}$. In this paper, we show that the
boundedness of a Calder{\'o}n-Zygmund operator $T$ on
$L^2(\mu)$ is equivalent to that of $T$ on $L^p(\mu)$
for some $p\in (1, \infty)$, and that of $T$ from
$L^1(\mu)$ to $L^{1,\,\infty}(\mu).$ As an application,
we prove that if $T$ is a Calder{\'o}n-Zygmund operator
bounded on $L^2(\mu)$, then its maximal operator is
bounded on $L^p(\mu)$ for all $p\in (1, \infty)$ and
from the space of all complex-valued Borel measures on
${\mathcal X}$ to $L^{1,\,\infty}(\mu)$. All these
results generalize the corresponding results of Nazarov
et al. on metric spaces with measures satisfying the
so-called polynomial growth condition.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{McCann:2012:ROT,
author = "Robert J. McCann and Brendan Pass and Micah Warren",
title = "Rectifiability of Optimal Transportation Plans",
journal = j-CAN-J-MATH,
volume = "64",
number = "4",
pages = "924--??",
month = aug,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-080-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:30 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "The regularity of solutions to optimal transportation
problems has become a hot topic in current research. It
is well known by now that the optimal measure may not
be concentrated on the graph of a continuous mapping
unless both the transportation cost and the masses
transported satisfy very restrictive hypotheses
(including sign conditions on the mixed fourth-order
derivatives of the cost function). The purpose of this
note is to show that in spite of this, the optimal
measure is supported on a Lipschitz manifold, provided
only that the cost is $C^{2}$ with non-singular mixed
second derivative. We use this result to provide a
simple proof that solutions to Monge's optimal
transportation problem satisfy a change of variables
equation almost everywhere.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{McIntosh:2012:HKF,
author = "Richard J. McIntosh",
title = "The {$H$} and {$K$} Families of Mock Theta Functions",
journal = j-CAN-J-MATH,
volume = "64",
number = "4",
pages = "935--??",
month = aug,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-066-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Mon Nov 5 09:42:30 MST 2012",
bibsource = "http://cms.math.ca/cjm/v64/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In his last letter to Hardy, Ramanujan defined 17
functions $F(q)$, $|q|\lt 1$, which he called mock
$\theta$-functions. He observed that as $q$ radially
approaches any root of unity $\zeta$ at which $F(q)$
has an exponential singularity, there is a
$\theta$-function $T_\zeta(q)$ with
$F(q)-T_\zeta(q)=O(1)$. Since then, other functions
have been found that possess this property. These
functions are related to a function $H(x,q)$, where $x$
is usually $q^r$ or $e^{2\pi i r}$ for some rational
number $r$. For this reason we refer to $H$ as a
``universal'' mock $\theta$-function. Modular
transformations of $H$ give rise to the functions $K$,
$K_1$, $K_2$. The functions $K$ and $K_1$ appear in
Ramanujan's lost notebook. We prove various linear
relations between these functions using Appell-Lerch
sums (also called generalized Lambert series). Some
relations (mock theta ``conjectures'') involving mock
$\theta$-functions of even order and $H$ are listed.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Borwein:2012:DSU,
author = "Jonathan M. Borwein and Armin Straub and James Wan and
Wadim Zudilin",
title = "Densities of Short Uniform Random Walks",
journal = j-CAN-J-MATH,
volume = "64",
number = "5",
pages = "961--??",
month = oct,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-079-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:29 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We study the densities of uniform random walks in the
plane. A special focus is on the case of short walks
with three or four steps and less completely those with
five steps. As one of the main results, we obtain a
hypergeometric representation of the density for four
steps, which complements the classical elliptic
representation in the case of three steps. It appears
unrealistic to expect similar results for more than
five steps. New results are also presented concerning
the moments of uniform random walks and, in particular,
their derivatives. Relations with Mahler measures are
discussed.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Damianou:2012:PBP,
author = "Pantelis A. Damianou and Fani Petalidou",
title = "{Poisson} Brackets with Prescribed {Casimirs}",
journal = j-CAN-J-MATH,
volume = "64",
number = "5",
pages = "991--??",
month = oct,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-082-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:29 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We consider the problem of constructing Poisson
brackets on smooth manifolds {$M$} with prescribed
Casimir functions. If {$M$} is of even dimension, we
achieve our construction by considering a suitable
almost symplectic structure on {$M$}, while, in the
case where {$M$} is of odd dimension, our objective is
achieved by using a convenient almost cosymplectic
structure. Several examples and applications are
presented.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Fiorilli:2012:TBF,
author = "Daniel Fiorilli",
title = "On a Theorem of {Bombieri}, {Friedlander}, and
{Iwaniec}",
journal = j-CAN-J-MATH,
volume = "64",
number = "5",
pages = "1019--??",
month = oct,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-005-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:29 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this article, we show to which extent one can
improve a theorem of Bombieri, Friedlander and Iwaniec
by using Hooley's variant of the divisor switching
technique. We also give an application of the theorem
in question, which is a Bombieri-Vinogradov type
theorem for the Tichmarsh divisor problem in arithmetic
progressions.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Koh:2012:HAR,
author = "Doowon Koh and Chun-Yen Shen",
title = "Harmonic Analysis Related to Homogeneous Varieties in
Three Dimensional Vector Spaces over Finite Fields",
journal = j-CAN-J-MATH,
volume = "64",
number = "5",
pages = "1036--??",
month = oct,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-089-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:29 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we study the extension problem, the
averaging problem, and the generalized
Erd{\SGMLquot}os-Falconer distance problem associated
with arbitrary homogeneous varieties in three
dimensional vector spaces over finite fields. In the
case when the varieties do not contain any plane
passing through the origin, we obtain the best possible
results on the aforementioned three problems. In
particular, our result on the extension problem
modestly generalizes the result by Mockenhaupt and Tao
who studied the particular conical extension problem.
In addition, investigating the Fourier decay on
homogeneous varieties enables us to give complete
mapping properties of averaging operators. Moreover, we
improve the size condition on a set such that the
cardinality of its distance set is nontrivial.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Plakhov:2012:ORC,
author = "Alexander Plakhov",
title = "Optimal Roughening of Convex Bodies",
journal = j-CAN-J-MATH,
volume = "64",
number = "5",
pages = "1058--??",
month = oct,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-070-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:29 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "A body moves in a rarefied medium composed of point
particles at rest. The particles make elastic
reflections when colliding with the body surface, and
do not interact with each other. We consider a
generalization of Newton's minimal resistance problem:
given two bounded convex bodies {$ C_1 $} and {$ C_2 $}
such that {$ C_1 \subset C_2 \subset \mathbb {R}^3 $}
and {$ \partial C_1 \cap \partial C_2 = \emptyset $},
minimize the resistance in the class of connected
bodies {$B$} such that {$ C_1 \subset B \subset C_2 $}.
We prove that the infimum of resistance is zero; that
is, there exist {\SGMLquot}almost perfectly
streamlined{\SGMLquot} bodies.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Raja:2012:SDE,
author = "Chandiraraj Robinson Edward Raja",
title = "A Stochastic Difference Equation with Stationary Noise
on Groups",
journal = j-CAN-J-MATH,
volume = "64",
number = "5",
pages = "1075--??",
month = oct,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-094-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:29 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We consider the stochastic difference equation \eta _k
= \xi _k \phi (\eta _{k-1}), \quad k \in \mathbb Z on a
locally compact group {$G$} where $ \phi $ is an
automorphism of {$G$}, $ \xi_k $ are given {$G$}-valued
random variables and $ \eta_k $ are unknown
{$G$}-valued random variables. This equation was
considered by Tsirelson and Yor on one-dimensional
torus. We consider the case when $ \xi_k $ have a
common law $ \mu $ and prove that if {$G$} is a distal
group and $ \phi $ is a distal automorphism of {$G$}
and if the equation has a solution, then extremal
solutions of the equation are in one-one correspondence
with points on the coset space {$ K \backslash G $} for
some compact subgroup {$K$} of {$G$} such that $ \mu $
is supported on {$ K z = z \phi (K) $} for any $z$ in
the support of $ \mu $. We also provide a necessary and
sufficient condition for the existence of solutions to
the equation.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Rosso:2012:CMR,
author = "Daniele Rosso",
title = "Classic and Mirabolic {Robinson--Schensted--Knuth}
Correspondence for Partial Flags",
journal = j-CAN-J-MATH,
volume = "64",
number = "5",
pages = "1090--??",
month = oct,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-071-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:29 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we first generalize to the case of
partial flags a result proved both by Spaltenstein and
by Steinberg that relates the relative position of two
complete flags and the irreducible components of the
flag variety in which they lie, using the
Robinson-Schensted-Knuth correspondence. Then we use
this result to generalize the mirabolic
Robinson-Schensted-Knuth correspondence defined by
Travkin, to the case of two partial flags and a line.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Seveso:2012:AFR,
author = "Marco Adamo Seveso",
title = "$p$-adic {$L$}-functions and the Rationality of
{Darmon} Cycles",
journal = j-CAN-J-MATH,
volume = "64",
number = "5",
pages = "1122--??",
month = oct,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-076-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:29 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Darmon cycles are a higher weight analogue of
Stark--Heegner points. They yield local cohomology
classes in the Deligne representation associated with a
cuspidal form on {$ \Gamma_0 (N) $} of even weight $
k_0 \geq 2 $. They are conjectured to be the
restriction of global cohomology classes in the
Bloch--Kato Selmer group defined over narrow ring class
fields attached to a real quadratic field. We show that
suitable linear combinations of them obtained by genus
characters satisfy these conjectures. We also prove
$p$-adic Gross--Zagier type formulas, relating the
derivatives of $p$-adic {$L$}-functions of the weight
variable attached to imaginary (resp. real) quadratic
fields to Heegner cycles (resp. Darmon cycles). Finally
we express the second derivative of the Mazur--Kitagawa
$p$-adic {$L$}-function of the weight variable in terms
of a global cycle defined over a quadratic extension of
{$ \mathbb {Q} $}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Tall:2012:PMM,
author = "Franklin D. Tall",
title = "{$ {\rm PFA}(S)[S] $}: More Mutually Consistent
Topological Consequences of {$ P F A $} and {$ V = L
$}",
journal = j-CAN-J-MATH,
volume = "64",
number = "5",
pages = "1182--??",
month = oct,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-010-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:29 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Extending the work of Larson and Todorcevic, we show
there is a model of set theory in which normal spaces
are collectionwise Hausdorff if they are either first
countable or locally compact, and yet there are no
first countable {$L$}-spaces or compact {$S$}-spaces.
The model is one of the form {PFA$ (S)[S] $}, where
{$S$} is a coherent Souslin tree.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Aistleitner:2012:CLT,
author = "Christoph Aistleitner and Christian Elsholtz",
title = "The {Central Limit Theorem for} Subsequences in
Probabilistic Number Theory",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1201--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-074-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $ (n_k)_{k \geq 1} $ be an increasing sequence of
positive integers, and let $ f(x) $ be a real function
satisfying \begin{equation} \tag{1} f(x+1)=f(x), \qquad
\int_0^1 f(x) ~dx=0,\qquad \operatorname{Var_{[0,1]}} f
\lt \infty. \end{equation} If $ \lim_{k \to \infty }
\frac {n_{k + 1}n_k} = \infty $ the distribution of
\begin{equation} \tag{2} \frac{\sum_{k=1}^N f(n_k
x)}{\sqrt{N}} \end{equation} converges to a Gaussian
distribution. In the case 1 \lt \liminf_{k \to \infty}
\frac{n_{k+1}}{n_k}, \qquad \limsup_{k \to \infty}
\frac{n_{k+1}}{n_k} \lt \infty there is a complex
interplay between the analytic properties of the
function $f$, the number-theoretic properties of $
(n_k)_{k \geq 1} $, and the limit distribution of (2).
In this paper we prove that any sequence $ (n_k)_{k
\geq 1} $ satisfying $ \limsup_{k \to \infty } \frac
{n_{k + 1}n_k} = 1 $ contains a nontrivial subsequence
$ (m_k)_{k \geq 1} $ such that for any function
satisfying (1) the distribution of \frac{\sum_{k=1}^N
f(m_k x)}{\sqrt{N}} converges to a Gaussian
distribution. This result is best possible: for any $
\varepsilon \gt 0 $ there exists a sequence $ (n_k)_{k
\geq 1} $ satisfying $ \limsup_{k \to \infty } \frac
{n_{k + 1}n_k} \leq 1 + \varepsilon $ such that for
every nontrivial subsequence $ (m_k)_{k \geq 1} $ of $
(n_k)_{k \geq 1} $ the distribution of (2) does not
converge to a Gaussian distribution for some $f$. Our
result can be viewed as a Ramsey type result: a
sufficiently dense increasing integer sequence contains
a subsequence having a certain requested
number-theoretic property.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bobinski:2012:NMO,
author = "Grzegorz Bobi{\'n}ski",
title = "Normality of Maximal Orbit Closures for {Euclidean}
Quivers",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1222--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-012-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let {$ \Delta $} be an Euclidean quiver. We prove that
the closures of the maximal orbits in the varieties of
representations of {$ \Delta $} are normal and
Cohen--Macaulay (even complete intersections).
Moreover, we give a generalization of this result for
the tame concealed-canonical algebras.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Gartner:2012:DPQ,
author = "J{\'e}r{\^o}me G{\"a}rtner",
title = "{Darmon}'s Points and Quaternionic {Shimura}
Varieties",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1248--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-086-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper, we generalize a conjecture due to
Darmon and Logan in an adelic setting. We study the
relation between our construction and Kudla's works on
cycles on orthogonal Shimura varieties. This relation
allows us to conjecture a Gross-Kohnen-Zagier theorem
for Darmon's points.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Gomes:2012:SWC,
author = "Diogo Gomes and Ant{\'o}nio Serra",
title = "Systems of Weakly Coupled {Hamilton--Jacobi} Equations
with Implicit Obstacles",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1289--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-085-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we study systems of weakly coupled
Hamilton--Jacobi equations with implicit obstacles that
arise in optimal switching problems. Inspired by
methods from the theory of viscosity solutions and weak
KAM theory, we extend the notion of Aubry set for these
systems. This enables us to prove a new result on
existence and uniqueness of solutions for the Dirichlet
problem, answering a question of F. Camilli, P. Loreti
and N. Yamada.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Harutyunyan:2012:UCD,
author = "Ararat Harutyunyan and P. Mark Kayll and Bojan Mohar
and Liam Rafferty",
title = "Uniquely {$D$}-colourable Digraphs with Large Girth",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1310--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-084-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let {$C$} and {$D$} be digraphs. A mapping {$ f \colon
V(D) \to V(C) $} is a {$C$}-colouring if for every arc
$ u v $ of {$D$}, either $ f(u)f(v) $ is an arc of
{$C$} or $ f(u) = f(v) $, and the preimage of every
vertex of {$C$} induces an acyclic subdigraph in {$D$}.
We say that {$D$} is {$C$}-colourable if it admits a
{$C$}-colouring and that {$D$} is uniquely
{$C$}-colourable if it is surjectively {$C$}-colourable
and any two {$C$}-colourings of {$D$} differ by an
automorphism of {$C$}. We prove that if a digraph {$D$}
is not {$C$}-colourable, then there exist digraphs of
arbitrarily large girth that are {$D$}-colourable but
not {$C$}-colourable. Moreover, for every digraph {$D$}
that is uniquely {$D$}-colourable, there exists a
uniquely {$D$}-colourable digraph of arbitrarily large
girth. In particular, this implies that for every
rational number $ r \geq 1 $, there are uniquely
circularly $r$-colourable digraphs with arbitrarily
large girth.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Izuchi:2012:COI,
author = "Kei Ji Izuchi and Quang Dieu Nguyen and Sh{\^u}ichi
Ohno",
title = "Composition Operators Induced by Analytic Maps to the
Polydisk",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1329--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-073-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We study properties of composition operators induced
by symbols acting from the unit disk to the polydisk.
This result will be involved in the investigation of
weighted composition operators on the Hardy space on
the unit disk and moreover be concerned with
composition operators acting from the Bergman space to
the Hardy space on the unit disk.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Killough:2012:BMH,
author = "D. B. Killough and I. F. Putnam",
title = "{Bowen} Measure From Heteroclinic Points",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1341--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-083-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We present a new construction of the
entropy-maximizing, invariant probability measure on a
Smale space (the Bowen measure). Our construction is
based on points that are unstably equivalent to one
given point, and stably equivalent to another:
heteroclinic points. The spirit of the construction is
similar to Bowen's construction from periodic points,
though the techniques are very different. We also prove
results about the growth rate of certain sets of
heteroclinic points, and about the stable and unstable
components of the Bowen measure. The approach we take
is to prove results through direct computation for the
case of a Shift of Finite type, and then use resolving
factor maps to extend the results to more general Smale
spaces.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Nozaki:2012:NCF,
author = "Hiroshi Nozaki and Masanori Sawa",
title = "Note on Cubature Formulae and Designs Obtained from
Group Orbits",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1359--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-069-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In 1960, Sobolev proved that for a finite reflection
group {$G$}, a {$G$}-invariant cubature formula is of
degree $t$ if and only if it is exact for all
{$G$}-invariant polynomials of degree at most $t$. In
this paper, we find some observations on invariant
cubature formulas and Euclidean designs in connection
with the Sobolev theorem. First, we give an alternative
proof of theorems by Xu (1998) on necessary and
sufficient conditions for the existence of cubature
formulas with some strong symmetry. The new proof is
shorter and simpler compared to the original one by Xu,
and moreover gives a general interpretation of the
analytically-written conditions of Xu's theorems.
Second, we extend a theorem by Neumaier and Seidel
(1988) on Euclidean designs to invariant Euclidean
designs, and thereby classify tight Euclidean designs
obtained from unions of the orbits of the corner
vectors. This result generalizes a theorem of Bajnok
(2007) which classifies tight Euclidean designs
invariant under the Weyl group of type {$B$} to other
finite reflection groups.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Raghavan:2012:WTF,
author = "Dilip Raghavan and Juris Steprans",
title = "On Weakly Tight Families",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1378--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-017-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Using ideas from Shelah's recent proof that a
completely separable maximal almost disjoint family
exists when $ \mathfrak {c} \lt {\aleph }_{\omega } $,
we construct a weakly tight family under the hypothesis
$ \mathfrak {s} \leq \mathfrak {b} \lt {\aleph
}_{\omega } $. The case when $ \mathfrak {s} \lt
\mathfrak {b} $ is handled in {$ \mathrm {ZFC} $} and
does not require $ \mathfrak {b} \lt {\aleph }_{\omega
} $, while an additional PCF type hypothesis, which
holds when $ \mathfrak {b} \lt {\aleph }_{\omega } $ is
used to treat the case $ \mathfrak {s} = \mathfrak {b}
$. The notion of a weakly tight family is a natural
weakening of the well studied notion of a Cohen
indestructible maximal almost disjoint family. It was
introduced by Hrus{\'a}k and Garc{\'\i}a Ferreira, who
applied it to the Kat{\'e}tov order on almost disjoint
families.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Rodney:2012:EWS,
author = "Scott Rodney",
title = "Existence of Weak Solutions of Linear Subelliptic
{Dirichlet} Problems With Rough Coefficients",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1395--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-029-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "This article gives an existence theory for weak
solutions of second order non-elliptic linear Dirichlet
problems of the form \begin{align*} \nabla'P(x)\nabla u
+{\bf HR}u+{\bf S'G}u +Fu {\&}= f+{\bf T'g} \text{ in
}\Theta \\ u{\&}=\varphi\text{ on }\partial \Theta.
\end{align*} The principal part {$ \xi 'P(x) \xi $} of
the above equation is assumed to be comparable to a
quadratic form {$ {\mathcal Q}(x, \xi) = \xi 'Q(x) \xi
$} that may vanish for non-zero {$ \xi \in \mathbb
{R}^n $}. This is achieved using techniques of
functional analysis applied to the degenerate Sobolev
spaces {$ Q H^1 (\Theta) = W^{1, 2}(\Theta, Q) $} and
{$ Q H^1_0 (\Theta) = W^{1, 2}_0 (\Theta, Q) $} as
defined in previous works. Sawyer and Wheeden give a
regularity theory for a subset of the class of
equations dealt with here.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Selmi:2012:GWP,
author = "Ridha Selmi",
title = "Global Well-Posedness and Convergence Results for
{3D}-Regularized {Boussinesq} System",
journal = j-CAN-J-MATH,
volume = "64",
number = "6",
pages = "1415--??",
month = dec,
year = "2012",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-013-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:31 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v64/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Analytical study to the regularization of the
Boussinesq system is performed in frequency space using
Fourier theory. Existence and uniqueness of weak
solution with minimum regularity requirement are
proved. Convergence results of the unique weak solution
of the regularized Boussinesq system to a weak
Leray-Hopf solution of the Boussinesq system are
established as the regularizing parameter $ \alpha $
vanishes. The proofs are done in the frequency space
and use energy methods, Arsel{\`a}-Ascoli compactness
theorem and a Friedrichs like approximation scheme.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Barto:2013:FRA,
author = "Libor Barto",
title = "Finitely Related Algebras in Congruence Distributive
Varieties Have Near Unanimity Terms",
journal = j-CAN-J-MATH,
volume = "65",
number = "1",
pages = "3--??",
month = feb,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-087-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:33 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We show that every finite, finitely related algebra in
a congruence distributive variety has a near unanimity
term operation. As a consequence we solve the near
unanimity problem for relational structures: it is
decidable whether a given finite set of relations on a
finite set admits a compatible near unanimity
operation. This consequence also implies that it is
decidable whether a given finite constraint language
defines a constraint satisfaction problem of bounded
strict width.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Blomer:2013:NVF,
author = "Valentin Blomer and Farrell Brumley",
title = "Non-vanishing of {$L$}-functions, the {Ramanujan}
Conjecture, and Families of {Hecke} Characters",
journal = j-CAN-J-MATH,
volume = "65",
number = "1",
pages = "22--??",
month = feb,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-068-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:33 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We prove a non-vanishing result for families of {$
\operatorname {GL}_n \times \operatorname {GL}_n $}
Rankin-Selberg {$L$}-functions in the critical strip,
as one factor runs over twists by Hecke characters. As
an application, we simplify the proof, due to Luo,
Rudnick, and Sarnak, of the best known bounds towards
the Generalized Ramanujan Conjecture at the infinite
places for cusp forms on {$ \operatorname {GL}_n $}. A
key ingredient is the regularization of the units in
residue classes by the use of an Arakelov ray class
group.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Christensen:2013:ANC,
author = "Erik Christensen and Allan M. Sinclair and Roger R.
Smith and Stuart White",
title = "{$ C^* $}-algebras Nearly Contained in Type {$ \mathrm
{I} $} Algebras",
journal = j-CAN-J-MATH,
volume = "65",
number = "1",
pages = "52--??",
month = feb,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-001-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:33 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we consider near inclusions {$ A
\subseteq_\gamma B $} of C$^*$-algebras. We show that
if {$B$} is a separable type {$ \mathrm {I} $}
C$^*$-algebra and {$A$} satisfies Kadison's similarity
problem, then {$A$} is also type {$ \mathrm {I} $} and
use this to obtain an embedding of {$A$} into {$B$}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Deng:2013:FCH,
author = "Shaoqiang Deng and Zhiguang Hu",
title = "On Flag Curvature of Homogeneous {Randers} Spaces",
journal = j-CAN-J-MATH,
volume = "65",
number = "1",
pages = "66--??",
month = feb,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-004-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:33 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we give an explicit formula for the flag
curvature of homogeneous Randers spaces of Douglas type
and apply this formula to obtain some interesting
results. We first deduce an explicit formula for the
flag curvature of an arbitrary left invariant Randers
metric on a two-step nilpotent Lie group. Then we
obtain a classification of negatively curved
homogeneous Randers spaces of Douglas type. This
results, in particular, in many examples of homogeneous
non-Riemannian Finsler spaces with negative flag
curvature. Finally, we prove a rigidity result that a
homogeneous Randers space of Berwald type whose flag
curvature is everywhere nonzero must be Riemannian.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Felix:2013:RHG,
author = "Yves F{\'e}lix and Steve Halperin and Jean-Claude
Thomas",
title = "The Ranks of the Homotopy Groups of a Finite
Dimensional Complex",
journal = j-CAN-J-MATH,
volume = "65",
number = "1",
pages = "82--??",
month = feb,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-050-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:33 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let {$X$} be an $n$-dimensional, finite, simply
connected CW complex and set {$ \alpha_X = \limsup_i
\frac {\log \mbox { rank} \, \pi_i(X)}{i} $}. When {$ 0
\lt \alpha_X \lt \infty $}, we give upper and lower
bound for {$ \sum_{i = k + 2}^{k + n} \textrm {rank} \,
\pi_i(X) $} for $k$ sufficiently large. We show also
for any $r$ that {$ \alpha_X $} can be estimated from
the integers {rk$ \, \pi_i(X) $}, $ i \leq n r $ with
an error bound depending explicitly on $r$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Francois:2013:UFR,
author = "Georges Francois and Simon Hampe",
title = "Universal Families of Rational Tropical Curves",
journal = j-CAN-J-MATH,
volume = "65",
number = "1",
pages = "120--??",
month = feb,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-097-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:33 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We introduce the notion of families of $n$-marked
smooth rational tropical curves over smooth tropical
varieties and establish a one-to-one correspondence
between (equivalence classes of) these families and
morphisms from smooth tropical varieties into the
moduli space of $n$-marked abstract rational tropical
curves {$ \mathcal {M}_n $}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kellendonk:2013:EDD,
author = "Johannes Kellendonk and Daniel Lenz",
title = "Equicontinuous {Delone} Dynamical Systems",
journal = j-CAN-J-MATH,
volume = "65",
number = "1",
pages = "149--??",
month = feb,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-090-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:33 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We characterize equicontinuous Delone dynamical
systems as those coming from Delone sets with strongly
almost periodic Dirac combs. Within the class of
systems with finite local complexity, the only
equicontinuous systems are then shown to be the
crystallographic ones. On the other hand, within the
class without finite local complexity, we exhibit
examples of equicontinuous minimal Delone dynamical
systems that are not crystallographic. Our results
solve the problem posed by Lagarias as to whether a
Delone set whose Dirac comb is strongly almost periodic
must be crystallographic.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lyall:2013:OPR,
author = "Neil Lyall and {\'A}kos Magyar",
title = "Optimal Polynomial Recurrence",
journal = j-CAN-J-MATH,
volume = "65",
number = "1",
pages = "171--??",
month = feb,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-003-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:33 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let {$ P \in \mathbb Z[n] $} with {$ P(0) = 0 $} and $
\varepsilon \gt 0 $. We show, using Fourier analytic
techniques, that if {$ N \geq \exp \exp (C
\varepsilon^{-1} \log \varepsilon^{-1}) $} and {$ A
\subseteq \{ 1, \dots, N \} $}, then there must exist
{$ n \in \mathbb N $} such that \[\frac{|A\cap
(A+P(n))|}{N}\gt
\left(\frac{|A|}{N}\right)^2-\varepsilon.\] In addition
to this we also show, using the same Fourier analytic
methods, that if {$ A \subseteq \mathbb N $}, then the
set of $ \varepsilon $-optimal return times
\[R(A,P,\varepsilon)=\left\{n\in \mathbb N
\,:\,\delta(A\cap(A+P(n)))\gt
\delta(A)^2-\varepsilon\right\}\] is syndetic for every
$ \varepsilon \gt 0 $. Moreover, we show that {$ R(A,
P, \varepsilon) $} is dense in every sufficiently long
interval, in particular we show that there exists an {$
L = L(\varepsilon, P, A) $} such that
\[\left|R(A,P,\varepsilon)\cap I\right| \geq
c(\varepsilon,P)|I|\] for all intervals {$I$} of
natural numbers with {$ |I| \geq L $} and {$
c(\varepsilon, P) = \exp \exp ( - C \, \varepsilon^{-1}
\log \varepsilon^{-1}) $}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Penegini:2013:SAM,
author = "Matteo Penegini and Francesco Polizzi",
title = "Surfaces with $ p_g = q = 2 $, {$ K^2 = 6 $}, and
{Albanese} Map of Degree $2$",
journal = j-CAN-J-MATH,
volume = "65",
number = "1",
pages = "195--??",
month = feb,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-007-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:33 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We classify minimal surfaces of general type with $
p_g = q = 2 $ and {$ K^2 = 6 $} whose Albanese map is a
generically finite double cover. We show that the
corresponding moduli space is the disjoint union of
three generically smooth irreducible components {$
\mathcal {M}_{Ia} $}, {$ \mathcal {M}_{Ib} $}, {$
\mathcal {M}_{II} $} of dimension $4$, $4$, $3$,
respectively.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Sauer:2013:DSU,
author = "N. W. Sauer",
title = "Distance Sets of {Urysohn} Metric Spaces",
journal = j-CAN-J-MATH,
volume = "65",
number = "1",
pages = "222--??",
month = feb,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-022-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:33 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "A metric space {$ \mathrm {M} = (M; \operatorname {d})
$} is {\em homogeneous} if for every isometry $f$ of a
finite subspace of {$ \mathrm {M} $} to a subspace of
{$ \mathrm {M} $} there exists an isometry of {$
\mathrm {M} $} onto {$ \mathrm {M} $} extending $f$.
The space {$ \mathrm {M} $} is {\em universal} if it
isometrically embeds every finite metric space {$
\mathrm {F} $} with {$ \operatorname {dist}(\mathrm
{F}) \subseteq \operatorname {dist}(\mathrm {M}) $}.
(With {$ \operatorname {dist}(\mathrm {M}) $} being the
set of distances between points in {$ \mathrm {M} $}.)
A metric space {$ \boldsymbol {U} $} is an {\em
Urysohn} metric space if it is homogeneous, universal,
separable and complete. (It is not difficult to deduce
that an Urysohn metric space {$ \boldsymbol {U} $}
isometrically embeds every separable metric space {$
\mathrm {M} $} with {$ \operatorname {dist}(\mathrm
{M}) \subseteq \operatorname {dist}(\boldsymbol {U})
$}.) The main results are: (1) A characterization of
the sets {$ \operatorname {dist}(\boldsymbol {U}) $}
for Urysohn metric spaces {$ \boldsymbol {U} $}. (2) If
{$R$} is the distance set of an Urysohn metric space
and {$ \mathrm {M} $} and {$ \mathrm {N} $} are two
metric spaces, of any cardinality with distances in
{$R$}, then they amalgamate disjointly to a metric
space with distances in {$R$}. (3) The completion of
every homogeneous, universal, separable metric space {$
\mathrm {M} $} is homogeneous.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Aguiar:2013:LTH,
author = "Marcelo Aguiar and Aaron Lauve",
title = "{Lagrange}'s Theorem for {Hopf} Monoids in Species",
journal = j-CAN-J-MATH,
volume = "65",
number = "2",
pages = "241--??",
month = apr,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-098-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:35 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Following Radford's proof of Lagrange's theorem for
pointed Hopf algebras, we prove Lagrange's theorem for
Hopf monoids in the category of connected species. As a
corollary, we obtain necessary conditions for a given
subspecies $ \mathbf k $ of a Hopf monoid $ \mathbf h $
to be a Hopf submonoid: the quotient of any one of the
generating series of $ \mathbf h $ by the corresponding
generating series of $ \mathbf k $ must have
nonnegative coefficients. Other corollaries include a
necessary condition for a sequence of nonnegative
integers to be the dimension sequence of a Hopf monoid
in the form of certain polynomial inequalities, and of
a set-theoretic Hopf monoid in the form of certain
linear inequalities. The latter express that the
binomial transform of the sequence must be
nonnegative.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Berard:2013:ACH,
author = "Vincent B{\'e}rard",
title = "Les applications conforme-harmoniques. ({French})
[Conformal-harmonic applications]",
journal = j-CAN-J-MATH,
volume = "65",
number = "2",
pages = "266--??",
month = apr,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-034-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:35 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Sur une surface de Riemann, l'{\'e}nergie d'une
application {\`a} valeurs dans une vari{\'e}t{\'e}
riemannienne est une fonctionnelle invariante conforme,
ses points critiques sont les applications harmoniques.
Nous proposons ici un analogue en dimension
sup{\'e}rieure, en construisant une fonctionnelle
invariante conforme pour les applications entre deux
vari{\'e}t{\'e}s riemanniennes, dont la vari{\'e}t{\'e}
de d{\'e}part est de dimension $n$ paire. Ses points
critiques satisfont une EDP elliptique d'ordre $n$
non-lin{\'e}aire qui est covariante conforme par
rapport {\`a} la vari{\'e}t{\'e} de d{\'e}part, on les
appelle les applications conforme-harmoniques. Dans le
cas des fonctions, on retrouve l'op{\'e}rateur GJMS,
dont le terme principal est une puissance $ n / 2 $ du
laplacien. Quand $n$ est impaire, les m{\^e}mes
id{\'e}es permettent de montrer que le terme constant
dans le d{\'e}veloppement asymptotique de l'{\'e}nergie
d'une application asymptotiquement harmonique sur une
vari{\'e}t{\'e} AHE est ind{\'e}pendant du choix du
repr{\'e}sentant de l'infini conforme.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
language = "French",
}
@Article{Grafakos:2013:MFM,
author = "Loukas Grafakos and Akihiko Miyachi and Naohito
Tomita",
title = "On Multilinear {Fourier} Multipliers of Limited
Smoothness",
journal = j-CAN-J-MATH,
volume = "65",
number = "2",
pages = "299--??",
month = apr,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-025-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:35 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper, we prove certain {$ L^2 $}-estimate for
multilinear Fourier multiplier operators with
multipliers of limited smoothness. As a result, we
extend the result of Calder{\'o}n and Torchinsky in the
linear theory to the multilinear case. The sharpness of
our results and some related estimates in Hardy spaces
are also discussed.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kadets:2013:LNI,
author = "Vladimir Kadets and Miguel Mart{\'\i}n and Javier
Mer{\'\i} and Dirk Werner",
title = "Lushness, Numerical Index 1 and the Daugavet Property
in Rearrangement Invariant Spaces",
journal = j-CAN-J-MATH,
volume = "65",
number = "2",
pages = "331--??",
month = apr,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-096-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:35 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We show that for spaces with 1-unconditional bases
lushness, the alternative Daugavet property and
numerical index 1 are equivalent. In the class of
rearrangement invariant (r.i.) sequence spaces the only
examples of spaces with these properties are $ c_0 $, $
\ell_1 $ and $ \ell_\infty $. The only lush r.i.
separable function space on $ [0, 1] $ is {$ L_1 [0, 1]
$}; the same space is the only r.i. separable function
space on $ [0, 1] $ with the Daugavet property over the
reals.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Muller:2013:EPR,
author = "Peter M{\"u}ller and Christoph Richard",
title = "Ergodic Properties of Randomly Coloured Point Sets",
journal = j-CAN-J-MATH,
volume = "65",
number = "2",
pages = "349--??",
month = apr,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-009-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:35 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We provide a framework for studying randomly coloured
point sets in a locally compact, second-countable space
on which a metrisable unimodular group acts
continuously and properly. We first construct and
describe an appropriate dynamical system for uniformly
discrete uncoloured point sets. For point sets of
finite local complexity, we characterise ergodicity
geometrically in terms of pattern frequencies. The
general framework allows to incorporate a random
colouring of the point sets. We derive an ergodic
theorem for randomly coloured point sets with
finite-range dependencies. Special attention is paid to
the exclusion of exceptional instances for uniquely
ergodic systems. The setup allows for a straightforward
application to randomly coloured graphs.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{VanOrder:2013:DMC,
author = "Jeanine {Van Order}",
title = "On the Dihedral Main Conjectures of {Iwasawa} Theory
for {Hilbert} Modular Eigenforms",
journal = j-CAN-J-MATH,
volume = "65",
number = "2",
pages = "403--??",
month = apr,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-002-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:35 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We construct a bipartite Euler system in the sense of
Howard for Hilbert modular eigenforms of parallel
weight two over totally real fields, generalizing works
of Bertolini-Darmon, Longo, Nekovar, Pollack-Weston and
others. The construction has direct applications to
Iwasawa main conjectures. For instance, it implies in
many cases one divisibility of the associated dihedral
or anticyclotomic main conjecture, at the same time
reducing the other divisibility to a certain
nonvanishing criterion for the associated $p$-adic
{$L$}-functions. It also has applications to cyclotomic
main conjectures for Hilbert modular forms over CM
fields via the technique of Skinner and Urban.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Wilson:2013:QFC,
author = "Glen Wilson and Christopher T. Woodward",
title = "Quasimap {Floer} Cohomology for Varying Symplectic
Quotients",
journal = j-CAN-J-MATH,
volume = "65",
number = "2",
pages = "467--??",
month = apr,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-008-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:35 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We show that quasimap Floer cohomology for varying
symplectic quotients resolves several puzzles regarding
displaceability of toric moment fibers. For example, we
(i) present a compact Hamiltonian torus action
containing an open subset of non-displaceable orbits
and a codimension four singular set, partly answering a
question of McDuff, and (ii) determine displaceability
for most of the moment fibers of a symplectic
ellipsoid.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Ara:2013:CPS,
author = "Pere Ara and Kenneth J. Dykema and Mikael R{\o}rdam",
title = "Correction of Proofs in {``Purely Infinite Simple $
C^* $-algebras Arising from Free Product
Constructions''} and a Subsequent Paper",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "481--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-018-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "The proofs of Theorem 2.2 of K. J. Dykema and M.
R{\o}rdam, Purely infinite simple {$ C^* $}-algebras
arising from free product {constructions??}, Canad. J.
Math. 50 (1998), 323--341 and of Theorem 3.1 of K. J.
Dykema, Purely infinite simple {$ C^* $}-algebras
arising from free product constructions, II, Math.
Scand. 90 (2002), 73--86 are corrected.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bice:2013:FCA,
author = "Tristan Matthew Bice",
title = "Filters in {C$^*$}-Algebras",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "485--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2011-095-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we analyze states on C*-algebras and
their relationship to filter-like structures of
projections and positive elements in the unit ball.
After developing the basic theory we use this to
investigate the Kadison-Singer conjecture, proving its
equivalence to an apparently quite weak paving
conjecture and the existence of unique maximal centred
extensions of projections coming from ultrafilters on
the natural numbers. We then prove that Reid's positive
answer to this for q-points in fact also holds for
rapid p-points, and that maximal centred filters are
obtained in this case. We then show that consistently
such maximal centred filters do not exist at all
meaning that, for every pure state on the Calkin
algebra, there exists a pair of projections on which
the state is 1, even though the state is bounded
strictly below 1 for projections below this pair.
Lastly we investigate towers, using cardinal invariant
equalities to construct towers on the natural numbers
that do and do not remain towers when canonically
embedded into the Calkin algebra. Finally we show that
consistently all towers on the natural numbers remain
towers under this embedding.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{delaCruz:2013:TVV,
author = "Oscar Blasco de la Cruz and Paco Villarroya Alvarez",
title = "Transference of vector-valued multipliers on weighted
{$ L^p $}-spaces",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "510--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-041-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We prove restriction and extension of multipliers
between weighted Lebesgue spaces with two different
weights, which belong to a class more general than
periodic weights, and two different exponents of
integrability which can be below one. We also develop
some ad-hoc methods which apply to weights defined by
the product of periodic weights with functions of power
type. Our vector-valued approach allow us to extend
results to transference of maximal multipliers and
provide transference of Littlewood--Paley
inequalities.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Deitmar:2013:IIH,
author = "Anton Deitmar and Ivan Horozov",
title = "Iterated Integrals and Higher Order Invariants",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "544--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-020-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We show that higher order invariants of smooth
functions can be written as linear combinations of full
invariants times iterated integrals. The non-uniqueness
of such a presentation is captured in the kernel of the
ensuing map from the tensor product. This kernel is
computed explicitly. As a consequence, it turns out
that higher order invariants are a free module of the
algebra of full invariants.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Godinho:2013:AES,
author = "Leonor Godinho and M. E. Sousa-Dias",
title = "Addendum and Erratum to {``The Fundamental Group of $
S^1 $-manifolds''}",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "553--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-024-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "This paper provides an addendum and erratum to L.
Godinho and M. E. Sousa-Dias, {\SGMLquot}The
Fundamental Group of {$ S^1 $}-manifolds{\SGMLquot}.
Canad. J. Math. 62(2010), no. 5, 1082--1098.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Helemskii:2013:EVP,
author = "A. Ya. Helemskii",
title = "Extreme Version of Projectivity for Normed Modules
Over Sequence Algebras",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "559--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-006-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We define and study the so-called extreme version of
the notion of a projective normed module. The relevant
definition takes into account the exact value of the
norm of the module in question, in contrast with the
standard known definition that is formulated in terms
of norm topology. After the discussion of the case
where our normed algebra {$A$} is just {$ \mathbb {C}
$}, we concentrate on the case of the next degree of
complication, where {$A$} is a sequence algebra,
satisfying some natural conditions. The main results
give a full characterization of extremely projective
objects within the subcategory of the category of
non-degenerate normed {$A$}--modules, consisting of the
so-called homogeneous modules. We consider two cases,
`non-complete' and `complete', and the respective
answers turn out to be essentially different. In
particular, all Banach non-degenerate homogeneous
modules, consisting of sequences, are extremely
projective within the category of Banach non-degenerate
homogeneous modules. However, neither of them, provided
it is infinite-dimensional, is extremely projective
within the category of all normed non-degenerate
homogeneous modules. On the other hand, submodules of
these modules, consisting of finite sequences, are
extremely projective within the latter category.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kallel:2013:GFG,
author = "Sadok Kallel and Walid Taamallah",
title = "The Geometry and Fundamental Group of Permutation
Products and Fat Diagonals",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "575--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-028-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Permutation products and their various ``fat
diagonal'' subspaces are studied from the topological
and geometric point of view. We describe in detail the
stabilizer and orbit stratifications related to the
permutation action, producing a sharp upper bound for
its depth and then paying particular attention to the
geometry of the diagonal stratum. We write down an
expression for the fundamental group of any permutation
product of a connected space {$X$} having the homotopy
type of a CW complex in terms of {$ \pi_1 (X) $} and {$
H_1 (X; \mathbb {Z}) $}. We then prove that the
fundamental group of the configuration space of
$n$-points on {$X$}, of which multiplicities do not
exceed $ n / 2 $, coincides with {$ H_1 (X; \mathbb
{Z}) $}. Further results consist in giving conditions
for when fat diagonal subspaces of manifolds can be
manifolds again. Various examples and homological
calculations are included.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kroo:2013:CFU,
author = "A. Kro{\'o} and D. S. Lubinsky",
title = "{Christoffel} Functions and Universality in the Bulk
for Multivariate Orthogonal Polynomials",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "600--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-016-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We establish asymptotics for Christoffel functions
associated with multivariate orthogonal polynomials.
The underlying measures are assumed to be regular on a
suitable domain - in particular this is true if they
are positive a.e. on a compact set that admits analytic
parametrization. As a consequence, we obtain
asymptotics for Christoffel functions for measures on
the ball and simplex, under far more general conditions
than previously known. As another consequence, we
establish universality type limits in the bulk in a
variety of settings.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lee:2013:STD,
author = "Paul W. Y. Lee",
title = "On Surfaces in Three Dimensional Contact Manifolds",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "621--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-027-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper, we introduce two notions on a surface
in a contact manifold. The first one is called degree
of transversality (DOT) which measures the
transversality between the tangent spaces of a surface
and the contact planes. The second quantity, called
curvature of transversality (COT), is designed to give
a comparison principle for DOT along characteristic
curves under bounds on COT. In particular, this gives
estimates on lengths of characteristic curves assuming
COT is bounded below by a positive constant. We show
that surfaces with constant COT exist and we classify
all graphs in the Heisenberg group with vanishing COT.
This is accomplished by showing that the equation for
graphs with zero COT can be decomposed into two first
order PDEs, one of which is the backward invisicid
Burgers' equation. Finally we show that the p-minimal
graph equation in the Heisenberg group also has such a
decomposition. Moreover, we can use this decomposition
to write down an explicit formula of a solution near a
regular point.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Mezzetti:2013:LEW,
author = "Emilia Mezzetti and Rosa M. Mir{\'o}-Roig and Giorgio
Ottaviani",
title = "{Laplace} Equations and the Weak {Lefschetz}
Property",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "634--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-033-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We prove that $r$ independent homogeneous polynomials
of the same degree $d$ become dependent when restricted
to any hyperplane if and only if their inverse system
parameterizes a variety whose $ (d - 1) $-osculating
spaces have dimension smaller than expected. This gives
an equivalence between an algebraic notion (called Weak
Lefschetz Property) and a differential geometric
notion, concerning varieties which satisfy certain
Laplace equations. In the toric case, some relevant
examples are classified and as byproduct we provide
counterexamples to Ilardi's conjecture.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Shemyakova:2013:PCD,
author = "E. Shemyakova",
title = "Proof of the Completeness of {Darboux} {Wronskian}
Formulae for Order Two",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "655--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-026-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Darboux Wronskian formulas allow to construct Darboux
transformations, but Laplace transformations, which are
Darboux transformations of order one cannot be
represented this way. It has been a long standing
problem on what are other exceptions. In our previous
work we proved that among transformations of total
order one there are no other exceptions. Here we prove
that for transformations of total order two there are
no exceptions at all. We also obtain a simple explicit
invariant description of all possible Darboux
Transformations of total order two.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Strungaru:2013:BDS,
author = "Nicolae Strungaru",
title = "On the {Bragg} Diffraction Spectra of a {Meyer} Set",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "675--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-032-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Meyer sets have a relatively dense set of Bragg peaks
and for this reason they may be considered as basic
mathematical examples of (aperiodic) crystals. In this
paper we investigate the pure point part of the
diffraction of Meyer sets in more detail. The results
are of two kinds. First we show that given a Meyer set
and any positive intensity $a$ less than the maximum
intensity of its Bragg peaks, the set of Bragg peaks
whose intensity exceeds $a$ is itself a Meyer set (in
the Fourier space). Second we show that if a Meyer set
is modified by addition and removal of points in such a
way that its density is not altered too much (the
allowable amount being given explicitly as a proportion
of the original density) then the newly obtained set
still has a relatively dense set of Bragg peaks.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Taylor:2013:RSW,
author = "Michael Taylor",
title = "Regularity of Standing Waves on {Lipschitz} Domains",
journal = j-CAN-J-MATH,
volume = "65",
number = "3",
pages = "702--??",
month = jun,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-014-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Apr 30 16:47:37 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We analyze the regularity of standing wave solutions
to nonlinear Schr{\"o}dinger equations of power type on
bounded domains, concentrating on Lipschitz domains. We
establish optimal regularity results in this setting,
in Besov spaces and in H{\"o}lder spaces.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Adamus:2013:TCD,
author = "Janusz Adamus and Serge Randriambololona and Rasul
Shafikov",
title = "Tameness of Complex Dimension in a Real Analytic Set",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "721--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-019-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Given a real analytic set {$X$} in a complex manifold
and a positive integer $d$, denote by {$ \mathcal A^d
$} the set of points $p$ in {$X$} at which there exists
a germ of a complex analytic set of dimension $d$
contained in {$X$}. It is proved that {$ \mathcal A^d
$} is a closed semianalytic subset of {$X$}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bernard:2013:RSD,
author = "P. Bernard and M. Zavidovique",
title = "Regularization of Subsolutions in Discrete Weak {KAM}
Theory",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "740--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-059-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We expose different methods of regularizations of
subsolutions in the context of discrete weak KAM
theory. They allow to prove the existence and the
density of {$ C^{1, 1} $} subsolutions. Moreover, these
subsolutions can be made strict and smooth outside of
the Aubry set.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Delanoe:2013:PCR,
author = "Philippe Delano{\"e} and Fran{\c{c}}ois Rouvi{\`e}re",
title = "Positively Curved {Riemannian} Locally Symmetric
Spaces are Positively Squared Distance Curved",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "757--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-015-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "The squared distance curvature is a kind of two-point
curvature the sign of which turned out crucial for the
smoothness of optimal transportation maps on Riemannian
manifolds. Positivity properties of that new curvature
have been established recently for all the simply
connected compact rank one symmetric spaces, except the
Cayley plane. Direct proofs were given for the sphere,
(an indirect one via the Hopf fibrations) for the
complex and quaternionic projective spaces. Here, we
present a direct proof of a property implying all the
preceding ones, valid on every positively curved
Riemannian locally symmetric space.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Fuller:2013:NAS,
author = "Adam Hanley Fuller",
title = "Nonself-adjoint Semicrossed Products by {Abelian}
Semigroups",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "768--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-051-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let {$ \mathcal {S} $} be the semigroup {$ \mathcal
{S} = \sum^{\oplus k}_{i = 1} \mathcal {S}_i $}, where
for each {$ i \in I $}, {$ \mathcal {S}_i $} is a
countable subsemigroup of the additive semigroup {$
\mathbb {R}_+ $} containing $0$. We consider
representations of {$ \mathcal {S} $} as contractions
{$ \{ T_s \}_{s \in \mathcal {S}} $} on a Hilbert space
with the Nica-covariance property: {$ T_s^*T_t = T_t
T_s^* $} whenever $ t \wedge s = 0 $. We show that all
such representations have a unique minimal isometric
Nica-covariant dilation. This result is used to help
analyse the nonself-adjoint semicrossed product
algebras formed from Nica-covariant representations of
the action of {$ \mathcal {S} $} on an operator algebra
{$ \mathcal {A} $} by completely contractive
endomorphisms. We conclude by calculating the {$ C^*
$}-envelope of the isometric nonself-adjoint
semicrossed product algebra (in the sense of Kakariadis
and Katsoulis).",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Garces:2013:GTH,
author = "Jorge J. Garc{\'e}s and Antonio M. Peralta",
title = "Generalised Triple Homomorphisms and Derivations",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "783--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-043-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We introduce generalised triple homomorphism between
Jordan Banach triple systems as a concept which extends
the notion of generalised homomorphism between Banach
algebras given by K. Jarosz and B.E. Johnson in 1985
and 1987, respectively. We prove that every generalised
triple homomorphism between JB$^*$-triples is
automatically continuous. When particularised to
C$^*$-algebras, we rediscover one of the main theorems
established by B.E. Johnson. We shall also consider
generalised triple derivations from a Jordan Banach
triple {$E$} into a Jordan Banach triple {$E$}-module,
proving that every generalised triple derivation from a
JB$^*$-triple {$E$} into itself or into {$ E^* $} is
automatically continuous.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Grandjean:2013:HLD,
author = "Vincent Grandjean",
title = "On {Hessian} Limit Directions along Gradient
Trajectories",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "808--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-021-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Given a non-oscillating gradient trajectory $ | \gamma
| $ of a real analytic function $f$, we show that the
limit $ \nu $ of the secants at the limit point $
\mathbf {0} $ of $ | \gamma | $ along the trajectory $
| \gamma | $ is an eigen-vector of the limit of the
direction of the Hessian matrix {$ \operatorname {Hess}
(f) $} at $ \mathbf {0} $ along $ | \gamma | $. The
same holds true at infinity if the function is globally
sub-analytic. We also deduce some interesting estimates
along the trajectory. Away from the ends of the ambient
space, this property is of metric nature and still
holds in a general Riemannian analytic setting.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Guardo:2013:SPV,
author = "Elena Guardo and Brian Harbourne and Adam {Van Tuyl}",
title = "Symbolic Powers Versus Regular Powers of Ideals of
General Points in {$ \mathbb {P}^1 \times \mathbb {P}^1
$}",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "823--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-045-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Recent work of Ein-Lazarsfeld-Smith and
Hochster-Huneke raised the problem of which symbolic
powers of an ideal are contained in a given ordinary
power of the ideal. Bocci-Harbourne developed methods
to address this problem, which involve asymptotic
numerical characters of symbolic powers of the ideals.
Most of the work done up to now has been done for
ideals defining 0-dimensional subschemes of projective
space. Here we focus on certain subschemes given by a
union of lines in {$ \mathbb {P}^3 $} which can also be
viewed as points in {$ \mathbb {P}^1 \times \mathbb
{P}^1 $}. We also obtain results on the closely related
problem, studied by Hochster and by Li-Swanson, of
determining situations for which each symbolic power of
an ideal is an ordinary power.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Jonsson:2013:THC,
author = "Jakob Jonsson",
title = "$3$-torsion in the Homology of Complexes of Graphs of
Bounded Degree",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "843--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-008-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "For $ \delta \ge 1 $ and $ n \ge 1 $, consider the
simplicial complex of graphs on $n$ vertices in which
each vertex has degree at most $ \delta $; we identify
a given graph with its edge set and admit one loop at
each vertex. This complex is of some importance in the
theory of semigroup algebras. When $ \delta = 1 $, we
obtain the matching complex, for which it is known that
there is $3$-torsion in degree $d$ of the homology
whenever $ \frac {n - 43} \le d \le \frac {n - 62} $.
This paper establishes similar bounds for $ \delta \ge
2 $. Specifically, there is $3$-torsion in degree $d$
whenever $ \frac {(3 \delta - 1)n - 86} \le d \le \frac
{\delta (n - 1) - 42} $. The procedure for detecting
torsion is to construct an explicit cycle $z$ that is
easily seen to have the property that $ 3 z $ is a
boundary. Defining a homomorphism that sends $z$ to a
non-boundary element in the chain complex of a certain
matching complex, we obtain that $z$ itself is a
non-boundary. In particular, the homology class of $z$
has order $3$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Josuat-Verges:2013:CSL,
author = "Matthieu Josuat-Verg{\`e}s",
title = "Cumulants of the $q$-semicircular Law, {Tutte}
Polynomials, and Heaps",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "863--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-042-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "The $q$-semicircular distribution is a probability law
that interpolates between the Gaussian law and the
semicircular law. There is a combinatorial
interpretation of its moments in terms of matchings
where $q$ follows the number of crossings, whereas for
the free cumulants one has to restrict the enumeration
to connected matchings. The purpose of this article is
to describe combinatorial properties of the classical
cumulants. We show that like the free cumulants, they
are obtained by an enumeration of connected matchings,
the weight being now an evaluation of the Tutte
polynomial of a so-called crossing graph. The case $ q
= 0 $ of these cumulants was studied by Lassalle using
symmetric functions and hypergeometric series. We show
that the underlying combinatorics is explained through
the theory of heaps, which is Viennot's geometric
interpretation of the Cartier-Foata monoid. This method
also gives a general formula for the cumulants in terms
of free cumulants.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kawabe:2013:SHM,
author = "Hiroko Kawabe",
title = "A Space of Harmonic Maps from the Sphere into the
Complex Projective Space",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "879--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-052-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Guest-Ohnita and Crawford have shown the
path-connectedness of the space of harmonic maps from
{$ S^2 $} to {$ \mathbf {C} P^n $} of a fixed degree
and energy.It is well-known that the $ \partial $
transform is defined on this space. In this paper,we
will show that the space is decomposed into mutually
disjoint connected subspaces on which $ \partial $ is
homeomorphic.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Thompson:2013:EMT,
author = "Alan Thompson",
title = "Explicit Models for Threefolds Fibred by {K3} Surfaces
of Degree Two",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "905--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-037-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We consider threefolds that admit a fibration by K3
surfaces over a nonsingular curve, equipped with a
divisorial sheaf that defines a polarisation of degree
two on the general fibre. Under certain assumptions on
the threefold we show that its relative log canonical
model exists and can be explicitly reconstructed from a
small set of data determined by the original fibration.
Finally we prove a converse to the above statement:
under certain assumptions, any such set of data
determines a threefold that arises as the relative log
canonical model of a threefold admitting a fibration by
K3 surfaces of degree two.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Wang:2013:IMS,
author = "Liping Wang and Chunyi Zhao",
title = "Infinitely Many Solutions for the Prescribed Boundary
Mean Curvature Problem in {$ \mathbb B^N $}",
journal = j-CAN-J-MATH,
volume = "65",
number = "4",
pages = "927--??",
month = aug,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-054-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Jun 22 17:13:28 MDT 2013",
bibsource = "http://cms.math.ca/cjm/v65/n4;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We consider the following prescribed boundary mean
curvature problem in {$ \mathbb B^N $} with the
Euclidean metric: \[ \begin{cases} \displaystyle
-\Delta u =0,\quad u\gt 0 {\&}\text{in }\mathbb B^N,
\\[2ex] \displaystyle \frac{\partial u}{\partial\nu} +
\frac{N-2}{2} u =\frac{N-2}{2} \widetilde K(x)
u^{2^\#-1} \quad {\&} \text{on }\mathbb S^{N-1},
\end{cases} \] where {$ \widetilde K(x) $} is positive
and rotationally symmetric on {$ \mathbb S^{N - 1},
2^\# = \frac {2(N - 1)N - 2} $}. We show that if {$
\widetilde K(x) $} has a local maximum point, then the
above problem has infinitely many positive solutions
that are not rotationally symmetric on {$ \mathbb S^{N
- 1} $}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Aholt:2013:HSC,
author = "Chris Aholt and Bernd Sturmfels and Rekha Thomas",
title = "A {Hilbert} Scheme in Computer Vision",
journal = j-CAN-J-MATH,
volume = "65",
number = "5",
pages = "961--??",
month = oct,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-023-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:37 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Multiview geometry is the study of two-dimensional
images of three-dimensional scenes, a foundational
subject in computer vision. We determine a universal
Gr{\"o}bner basis for the multiview ideal of $n$
generic cameras. As the cameras move, the multiview
varieties vary in a family of dimension $ 11 n - 15 $.
This family is the distinguished component of a
multigraded Hilbert scheme with a unique Borel-fixed
point. We present a combinatorial study of ideals lying
on that Hilbert scheme.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Chu:2013:ACH,
author = "C-H. Chu and M. V. Velasco",
title = "Automatic Continuity of Homomorphisms in
Non-associative {Banach} Algebras",
journal = j-CAN-J-MATH,
volume = "65",
number = "5",
pages = "989--??",
month = oct,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-049-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:37 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We introduce the concept of a rare element in a
non-associative normed algebra and show that the
existence of such element is the only obstruction to
continuity of a surjective homomorphism from a
non-associative Banach algebra to a unital normed
algebra with simple completion. Unital associative
algebras do not admit any rare element and hence
automatic continuity holds.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Forrest:2013:UCF,
author = "Brian Forrest and Tianxuan Miao",
title = "Uniformly Continuous Functionals and {$M$}-Weakly
Amenable Groups",
journal = j-CAN-J-MATH,
volume = "65",
number = "5",
pages = "1005--??",
month = oct,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-019-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:37 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $G$ be a locally compact group. Let $ A_M(G) $ ($
A_0 (G) $ )denote the closure of $ A(G) $, the Fourier
algebra of $G$ in the space of bounded (completely
bounded) multipliers of $ A(G) $. We call a locally
compact group M-weakly amenable if $ A_M(G) $ has a
bounded approximate identity. We will show that when
$G$ is M-weakly amenable, the algebras $ A_M(G) $ and $
A_0 (G) $ have properties that are characteristic of
the Fourier algebra of an amenable group. Along the way
we show that the sets of tolopolically invariant means
associated with these algebras have the same
cardinality as those of the Fourier algebra.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Goulden:2013:MHN,
author = "I. P. Goulden and Mathieu Guay-Paquet and Jonathan
Novak",
title = "Monotone {Hurwitz} Numbers in Genus Zero",
journal = j-CAN-J-MATH,
volume = "65",
number = "5",
pages = "1020--??",
month = oct,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-038-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:37 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Hurwitz numbers count branched covers of the Riemann
sphere with specified ramification data, or
equivalently, transitive permutation factorizations in
the symmetric group with specified cycle types.
Monotone Hurwitz numbers count a restricted subset of
these branched covers related to the expansion of
complete symmetric functions in the Jucys-Murphy
elements, and have arisen in recent work on the
asymptotic expansion of the
Harish-Chandra-Itzykson--Zuber integral. In this paper
we begin a detailed study of monotone Hurwitz numbers.
We prove two results that are reminiscent of those for
classical Hurwitz numbers. The first is the monotone
join-cut equation, a partial differential equation with
initial conditions that characterizes the generating
function for monotone Hurwitz numbers in arbitrary
genus. The second is our main result, in which we give
an explicit formula for monotone Hurwitz numbers in
genus zero.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hu:2013:CTC,
author = "Zhiguo Hu and Matthias Neufang and Zhong-Jin Ruan",
title = "Convolution of Trace Class Operators over Locally
Compact Quantum Groups",
journal = j-CAN-J-MATH,
volume = "65",
number = "5",
pages = "1043--??",
month = oct,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-030-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:37 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We study locally compact quantum groups $ \mathbb {G}
$ through the convolution algebras $ L_1 (\mathbb {G})
$ and $ (T(L_2 (\mathbb {G})), \triangleright) $. We
prove that the reduced quantum group $ C^* $-algebra $
C_0 (\mathbb {G}) $ can be recovered from the
convolution $ \triangleright $ by showing that the
right $ T(L_2 (\mathbb {G})) $-module $ \langle K(L_2
(\mathbb {G}) \triangleright T(L_2 (\mathbb {G}))
\rangle $ is equal to $ C_0 (\mathbb {G}) $. On the
other hand, we show that the left $ T(L_2 (\mathbb
{G})) $-module $ \langle T(L_2 (\mathbb {G}))
\triangleright K(L_2 (\mathbb {G}) \rangle $ is
isomorphic to the reduced crossed product $ C_0
(\widehat {\mathbb {G}}) \,_r \! \ltimes C_0 (\mathbb
{G}) $, and hence is a much larger $ C^* $-subalgebra
of $ B(L_2 (\mathbb {G})) $. We establish a natural
isomorphism between the completely bounded right
multiplier algebras of $ L_1 (\mathbb {G}) $ and $
(T(L_2 (\mathbb {G})), \triangleright) $, and settle
two invariance problems associated with the
representation theorem of Junge-Neufang-Ruan (2009). We
characterize regularity and discreteness of the quantum
group $ \mathbb {G} $ in terms of continuity properties
of the convolution $ \triangleright $ on $ T(L_2
(\mathbb {G})) $. We prove that if $ \mathbb {G} $ is
semi-regular, then the space $ \langle T(L_2 (\mathbb
{G})) \triangleright B(L_2 (\mathbb {G})) \rangle $ of
right $ \mathbb {G} $-continuous operators on $ L_2
(\mathbb {G}) $, which was introduced by Bekka (1990)
for $ L_{\infty }(G) $, is a unital $ C^* $-subalgebra
of $ B(L_2 (\mathbb {G})) $. In the representation
framework formulated by Neufang-Ruan-Spronk (2008) and
Junge-Neufang-Ruan, we show that the dual properties of
compactness and discreteness can be characterized
simultaneously via automatic normality of quantum group
bimodule maps on $ B(L_2 (\mathbb {G})) $. We also
characterize some commutation relations of completely
bounded multipliers of $ (T(L_2 (\mathbb {G})),
\triangleright) $ over $ B(L_2 (\mathbb {G})) $.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kalantar:2013:QGG,
author = "Mehrdad Kalantar and Matthias Neufang",
title = "From Quantum Groups to Groups",
journal = j-CAN-J-MATH,
volume = "65",
number = "5",
pages = "1073--??",
month = oct,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-047-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:37 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper we use the recent developments in the
representation theory of locally compact quantum
groups, to assign, to each locally compact quantum
group $ \mathbb {G} $, a locally compact group $ \tilde
{\mathbb {G}} $ which is the quantum version of
point-masses, and is an invariant for the latter. We
show that ``quantum point-masses{\SGMLquot} can be
identified with several other locally compact groups
that can be naturally assigned to the quantum group $
\mathbb {G} $. This assignment preserves compactness as
well as discreteness (hence also finiteness), and for
large classes of quantum groups, amenability. We
calculate this invariant for some of the most
well-known examples of non-classical quantum groups.
Also, we show that several structural properties of $
\mathbb {G} $ are encoded by $ \tilde {\mathbb {G}} $:
the latter, despite being a simpler object, can carry
very important information about $ \mathbb {G} $.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Sambou:2013:RPS,
author = "Diomba Sambou",
title = "{R{\'e}sonances} pr{\`e}s de seuils d'op{\'e}rateurs
magn{\'e}tiques de {Pauli} et de {Dirac}. ({French})
[Resonances near the thresholds of magnetic operators
of {Pauli} and {Dirac}]",
journal = j-CAN-J-MATH,
volume = "65",
number = "5",
pages = "1095--??",
month = oct,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-057-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:37 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Nous consid{\'e}rons les perturbations $ H := H_0 + V
$ et $ D := D_0 + V $ des Hamiltoniens libres $ H_0 $
de Pauli et $ D_0 $ de Dirac en dimension 3 avec champ
magn{\'e}tique non constant, $V$ {\'e}tant un potentiel
{\'e}lectrique qui d{\'e}cro{\^\i}t
super-exponentiellement dans la direction du champ
magn{\'e}tique. Nous montrons que dans des espaces de
Banach appropri{\'e}s, les r{\'e}solvantes de $H$ et
$D$ d{\'e}finies sur le demi-plan sup{\'e}rieur
admettent des prolongements m{\'e}romorphes. Nous
d{\'e}finissons les r{\'e}sonances de $H$ et $D$ comme
{\'e}tant les p{\^o}les de ces extensions
m{\'e}romorphes. D'une part, nous {\'e}tudions la
r{\'e}partition des r{\'e}sonances de $H$ pr{\`e}s de
l'origine $0$ et d'autre part, celle des r{\'e}sonances
de $D$ pr{\`e}s de $ \pm m $ o{\`u} $m$ est la masse
d'une particule. Dans les deux cas, nous obtenons
d'abord des majorations du nombre de r{\'e}sonances
dans de petits domaines au voisinage de $0$ et $ \pm m
$. Sous des hypoth{\`e}ses suppl{\'e}mentaires, nous
obtenons des d{\'e}veloppements asymptotiques du nombre
de r{\'e}sonances qui entra{\^\i}nent leur accumulation
pr{\`e}s des seuils $0$ et $ \pm m $. En particulier,
pour une perturbation $V$ de signe d{\'e}fini, nous
obtenons des informations sur la r{\'e}partition des
valeurs propres de $H$ et $D$ pr{\`e}s de $0$ et $ \pm
m $ respectivement.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
language = "French",
}
@Article{Vandenbergen:2013:GSS,
author = "Nicolas Vandenbergen",
title = "On the Global Structure of Special Cycles on Unitary
{Shimura} Varieties",
journal = j-CAN-J-MATH,
volume = "65",
number = "5",
pages = "1125--??",
month = oct,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-004-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:37 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper, we study the reduced loci of special
cycles on local models of the Shimura variety for $
\operatorname {GU}(1, n - 1) $. Those special cycles
are defined by Kudla and Rapoport. We explicitly
compute the irreducible components of the reduced locus
of a single special cycle, as well as of an arbitrary
intersection of special cycles, and their intersection
behaviour in terms of Bruhat-Tits theory. Furthermore,
as an application of our results, we prove the
connectedness of arbitrary intersections of special
cycles, as conjectured by Kudla and Rapoport.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Vitagliano:2013:PDH,
author = "Luca Vitagliano",
title = "Partial Differential {Hamiltonian} Systems",
journal = j-CAN-J-MATH,
volume = "65",
number = "5",
pages = "1164--??",
month = oct,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-055-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:37 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n5;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We define partial differential (PD in the following),
i.e., field theoretic analogues of Hamiltonian systems
on abstract symplectic manifolds and study their main
properties, namely, PD Hamilton equations, PD Noether
theorem, PD Poisson bracket, etc.. Unlike in standard
multisymplectic approach to Hamiltonian field theory,
in our formalism, the geometric structure (kinematics)
and the dynamical information on the ``phase space''
appear as just different components of one single
geometric object.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Cho:2013:ASA,
author = "Peter J. Cho and Henry H. Kim",
title = "Application of the Strong {Artin} Conjecture to the
Class Number Problem",
journal = j-CAN-J-MATH,
volume = "65",
number = "6",
pages = "1201--??",
month = dec,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-031-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:38 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We construct unconditionally several families of
number fields with the largest possible class numbers.
They are number fields of degree 4 and 5 whose Galois
closures have the Galois group $ A_4, S_4 $ and $ S_5
$. We first construct families of number fields with
smallest regulators, and by using the strong Artin
conjecture and applying zero density result of
Kowalski-Michel, we choose subfamilies of $L$-functions
which are zero free close to 1. For these subfamilies,
the $L$-functions have the extremal value at $ s = 1 $,
and by the class number formula, we obtain the extreme
class numbers.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Cruz:2013:BEC,
author = "Victor Cruz and Joan Mateu and Joan Orobitg",
title = "{Beltrami} Equation with Coefficient in {Sobolev} and
{Besov} Spaces",
journal = j-CAN-J-MATH,
volume = "65",
number = "6",
pages = "1217--??",
month = dec,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-001-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:38 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Our goal in this work is to present some function
spaces on the complex plane $ \mathbb C $, $ X(\mathbb
C) $, for which the quasiregular solutions of the
Beltrami equation, $ \overline \partial f (z) = \mu (z)
\partial f (z) $, have first derivatives locally in $
X(\mathbb C) $, provided that the Beltrami coefficient
$ \mu $ belongs to $ X(\mathbb C) $.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{DeBernardi:2013:HCP,
author = "Carlo Alberto {De Bernardi}",
title = "Higher Connectedness Properties of Support Points and
Functionals of Convex Sets",
journal = j-CAN-J-MATH,
volume = "65",
number = "6",
pages = "1236--??",
month = dec,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-048-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:38 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We prove that the set of all support points of a
nonempty closed convex bounded set $C$ in a real
infinite-dimensional Banach space $X$ is $ \mathrm
{AR(} \sigma $-$ \mathrm {compact)} $ and contractible.
Under suitable conditions, similar results are proved
also for the set of all support functionals of $C$ and
for the domain, the graph and the range of the
subdifferential map of a proper convex l.s.c. function
on $X$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Iglesias-Zemmour:2013:VID,
author = "Patrick Iglesias-Zemmour",
title = "Variations of Integrals in Diffeology",
journal = j-CAN-J-MATH,
volume = "65",
number = "6",
pages = "1255--??",
month = dec,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-044-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:38 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We establish the formula for the variation of
integrals of differential forms on cubic chains, in the
context of diffeological spaces. Then, we establish the
diffeological version of Stoke's theorem, and we apply
that to get the diffeological variant of the Cartan-Lie
formula. Still in the context of Cartan-De-Rham
calculus in diffeology, we construct a Chain-Homotopy
Operator $ \mathbf K $ we apply it here to get the
homotopic invariance of De Rham cohomology for
diffeological spaces. This is the Chain-Homotopy
Operator which used in symplectic diffeology to
construct the Moment Map.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Reihani:2013:TFT,
author = "Kamran Reihani",
title = "{$K$}-theory of {Furstenberg} Transformation Group {$
C^* $}-algebras",
journal = j-CAN-J-MATH,
volume = "65",
number = "6",
pages = "1287--??",
month = dec,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-022-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:38 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "The paper studies the $K$-theoretic invariants of the
crossed product $ C^* $-algebras associated with an
important family of homeomorphisms of the tori $
\mathbb {T}^n $ called Furstenberg transformations.
Using the Pimsner-Voiculescu theorem, we prove that
given $n$, the $K$-groups of those crossed products,
whose corresponding $ n \times n $ integer matrices are
unipotent of maximal degree, always have the same rank
$ a_n $. We show using the theory developed here that a
claim made in the literature about the torsion
subgroups of these $K$-groups is false. Using the
representation theory of the simple Lie algebra $ \frak
{sl}(2, \mathbb {C}) $, we show that, remarkably, $ a_n
$ has a combinatorial significance. For example, every
$ a_{2n + 1} $ is just the number of ways that $0$ can
be represented as a sum of integers between $ - n $ and
$n$ (with no repetitions). By adapting an argument of
van Lint (in which he answered a question of
Erd{\SGMLquot}os), a simple, explicit formula for the
asymptotic behavior of the sequence $ \{ a_n \} $ is
given. Finally, we describe the order structure of the
$ K_0 $-groups of an important class of Furstenberg
crossed products, obtaining their complete Elliott
invariant using classification results of H. Lin and N.
C. Phillips.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Taniguchi:2013:OFS,
author = "Takashi Taniguchi and Frank Thorne",
title = "Orbital {$L$}-functions for the Space of Binary Cubic
Forms",
journal = j-CAN-J-MATH,
volume = "65",
number = "6",
pages = "1320--??",
month = dec,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-027-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:38 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We introduce the notion of orbital $L$-functions for
the space of binary cubic forms and investigate their
analytic properties. We study their functional
equations and residue formulas in some detail. Aside
from their intrinsic interest, the results from this
paper are used to prove the existence of secondary
terms in counting functions for cubic fields. This is
worked out in a companion paper.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Wright:2013:EHD,
author = "Paul Wright",
title = "Estimates of {Hausdorff} Dimension for Non-wandering
Sets of Higher Dimensional Open Billiards",
journal = j-CAN-J-MATH,
volume = "65",
number = "6",
pages = "1384--??",
month = dec,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-030-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:38 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "This article concerns a class of open billiards
consisting of a finite number of strictly convex,
non-eclipsing obstacles $K$. The non-wandering set $
M_0 $ of the billiard ball map is a topological Cantor
set and its Hausdorff dimension has been previously
estimated for billiards in $ \mathbb {R}^2 $, using
well-known techniques. We extend these estimates to
billiards in $ \mathbb {R}^n $, and make various
refinements to the estimates. These refinements also
allow improvements to other results. We also show that
in many cases, the non-wandering set is confined to a
particular subset of $ \mathbb {R}^n $ formed by the
convex hull of points determined by period 2 orbits.
This allows more accurate bounds on the constants used
in estimating Hausdorff dimension.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Zhao:2013:UVC,
author = "Wei Zhao and Yibing Shen",
title = "A Universal Volume Comparison Theorem for {Finsler}
Manifolds and Related Results",
journal = j-CAN-J-MATH,
volume = "65",
number = "6",
pages = "1401--??",
month = dec,
year = "2013",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-053-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:40:38 MST 2014",
bibsource = "http://cms.math.ca/cjm/v65/n6;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "In this paper, we establish a universal volume
comparison theorem for Finsler manifolds and give the
Berger-Kazdan inequality and Santal{\'o}'s formula in
Finsler geometry. Being based on these, we derive a
Berger-Kazdan type comparison theorem and a Croke type
isoperimetric inequality for Finsler manifolds.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Abdesselam:2014:HC,
author = "Abdelmalek Abdesselam and Jaydeep Chipalkatti",
title = "On {Hilbert} Covariants",
journal = j-CAN-J-MATH,
volume = "66",
number = "1",
pages = "3--??",
month = feb,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-046-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:34 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $F$ denote a binary form of order $d$ over the
complex numbers. If $r$ is a divisor of $d$, then the
Hilbert covariant $ \mathcal {H}_{r, d}(F) $ vanishes
exactly when $F$ is the perfect power of an order $r$
form. In geometric terms, the coefficients of $
\mathcal {H} $ give defining equations for the image
variety $X$ of an embedding $ \mathbf {P}^r
\hookrightarrow \mathbf {P}^d $. In this paper we
describe a new construction of the Hilbert covariant;
and simultaneously situate it into a wider class of
covariants called the G{\"o}ttingen covariants, all of
which vanish on $X$. We prove that the ideal generated
by the coefficients of $ \mathcal {H} $ defines $X$ as
a scheme. Finally, we exhibit a generalisation of the
G{\"o}ttingen covariants to $n$-ary forms using the
classical Clebsch transfer principle.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bailey:2014:SFG,
author = "Michael Bailey",
title = "Symplectic Foliations and Generalized Complex
Structures",
journal = j-CAN-J-MATH,
volume = "66",
number = "1",
pages = "31--??",
month = feb,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-007-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:34 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We answer the natural question: when is a transversely
holomorphic symplectic foliation induced by a
generalized complex structure? The leafwise symplectic
form and transverse complex structure determine an
obstruction class in a certain cohomology, which
vanishes if and only if our question has an affirmative
answer. We first study a component of this obstruction,
which gives the condition that the leafwise cohomology
class of the symplectic form must be transversely
pluriharmonic. As a consequence, under certain
topological hypotheses, we infer that we actually have
a symplectic fibre bundle over a complex base. We then
show how to compute the full obstruction via a spectral
sequence. We give various concrete necessary and
sufficient conditions for the vanishing of the
obstruction. Throughout, we give examples to test the
sharpness of these conditions, including a symplectic
fibre bundle over a complex base which does not come
from a generalized complex structure, and a regular
generalized complex structure which is very unlike a
symplectic fibre bundle, i.e., for which nearby leaves
are not symplectomorphic.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Bezuglyi:2014:POF,
author = "S. Bezuglyi and J. Kwiatkowski and R. Yassawi",
title = "Perfect Orderings on Finite Rank {Bratteli} Diagrams",
journal = j-CAN-J-MATH,
volume = "66",
number = "1",
pages = "57--??",
month = feb,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-041-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:34 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Given a Bratteli diagram $B$, we study the set $
\mathcal O_B $ of all possible orderings on $B$ and its
subset $ \mathcal P_B $ consisting of perfect orderings
that produce Bratteli-Vershik topological dynamical
systems (Vershik maps). We give necessary and
sufficient conditions for the ordering $ \omega $ to be
perfect. On the other hand, a wide class of non-simple
Bratteli diagrams that do not admit Vershik maps is
explicitly described. In the case of finite rank
Bratteli diagrams, we show that the existence of
perfect orderings with a prescribed number of extreme
paths constrains significantly the values of the
entries of the incidence matrices and the structure of
the diagram $B$. Our proofs are based on the new
notions of skeletons and associated graphs, defined and
studied in the paper. For a Bratteli diagram $B$ of
rank $k$, we endow the set $ \mathcal O_B $ with
product measure $ \mu $ and prove that there is some $
1 \leq j \leq k $ such that $ \mu $-almost all
orderings on $B$ have $j$ maximal and $j$ minimal
paths. If $j$ is strictly greater than the number of
minimal components that $B$ has, then $ \mu $-almost
all orderings are imperfect.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Birth:2014:CCT,
author = "Lidia Birth and Helge Gl{\"o}ckner",
title = "Continuity of convolution of test functions on {Lie}
groups",
journal = j-CAN-J-MATH,
volume = "66",
number = "1",
pages = "102--??",
month = feb,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-035-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:34 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "For a Lie group $G$, we show that the map $
C^\infty_c(G) \times C^\infty_c(G) \to C^\infty_c(G) $,
$ (\gamma, \eta) \mapsto \gamma * \eta $ taking a pair
of test functions to their convolution is continuous if
and only if $G$ is $ \sigma $-compact. More generally,
consider $ r, s, t \in \mathbb {N}_0 \cup \{ \infty \}
$ with $ t \leq r + s $, locally convex spaces $ E_1 $,
$ E_2 $ and a continuous bilinear map $ b \colon E_1
\times E_2 \to F $ to a complete locally convex space
$F$. Let $ \beta \colon C^r_c(G, E_1) \times C^s_c(G,
E_2) \to C^t_c(G, F) $, $ (\gamma, \eta) \mapsto \gamma
*_b \eta $ be the associated convolution map. The main
result is a characterization of those $ (G, r, s, t, b)
$ for which $ \beta $ is continuous. Convolution of
compactly supported continuous functions on a locally
compact group is also discussed, as well as convolution
of compactly supported $ L^1 $-functions and
convolution of compactly supported Radon measures.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Caillat-Gibert:2014:ETF,
author = "Shanti Caillat-Gibert and Daniel Matignon",
title = "Existence of Taut Foliations on {Seifert} Fibered
Homology $3$-spheres",
journal = j-CAN-J-MATH,
volume = "66",
number = "1",
pages = "141--??",
month = feb,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-011-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:34 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "This paper concerns the problem of existence of taut
foliations among $3$-manifolds. Since the contribution
of David Gabai, we know that closed $3$-manifolds with
non-trivial second homology group admit a taut
foliation. The essential part of this paper focuses on
Seifert fibered homology $3$-spheres. The result is
quite different if they are integral or rational but
non-integral homology $3$-spheres. Concerning integral
homology $3$-spheres, we can see that all but the
$3$-sphere and the Poincar{\'e} $3$-sphere admit a taut
foliation. Concerning non-integral homology
$3$-spheres, we prove there are infinitely many which
admit a taut foliation, and infinitely many without
taut foliation. Moreover, we show that the geometries
do not determine the existence of taut foliations on
non-integral Seifert fibered homology $3$-spheres.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Guitart:2014:MAV,
author = "Xavier Guitart and Jordi Quer",
title = "Modular {Abelian} Varieties Over Number Fields",
journal = j-CAN-J-MATH,
volume = "66",
number = "1",
pages = "170--??",
month = feb,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-040-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:34 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "The main result of this paper is a characterization of
the abelian varieties $ B / K $ defined over Galois
number fields with the property that the $L$-function $
L(B / K; s) $ is a product of $L$-functions of non-CM
newforms over $ \mathbb Q $ for congruence subgroups of
the form $ \Gamma_1 (N) $. The characterization
involves the structure of $ \operatorname {End}(B) $,
isogenies between the Galois conjugates of $B$, and a
Galois cohomology class attached to $ B / K $. We call
the varieties having this property strongly modular.
The last section is devoted to the study of a family of
abelian surfaces with quaternionic multiplication. As
an illustration of the ways in which the general
results of the paper can be applied we prove the strong
modularity of some particular abelian surfaces
belonging to that family, and we show how to find
nontrivial examples of strongly modular varieties by
twisting.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Harris:2014:HDS,
author = "Adam Harris and Martin Kol{\'a}r",
title = "On Hyperbolicity of Domains with Strictly Pseudoconvex
Ends",
journal = j-CAN-J-MATH,
volume = "66",
number = "1",
pages = "197--??",
month = feb,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-036-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:34 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "This article establishes a sufficient condition for
Kobayashi hyperbolicity of unbounded domains in terms
of curvature. Specifically, when $ \Omega \subset
{\mathbb C}^n $ corresponds to a sub-level set of a
smooth, real-valued function $ \Psi $, such that the
form $ \omega = {\bf i} \partial \bar {\partial } \Psi
$ is K{\"a}hler and has bounded curvature outside a
bounded subset, then this domain admits a Hermitian
metric of strictly negative holomorphic sectional
curvature.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Iovanov:2014:GFA,
author = "Miodrag Cristian Iovanov",
title = "Generalized {Frobenius} Algebras and {Hopf} Algebras",
journal = j-CAN-J-MATH,
volume = "66",
number = "1",
pages = "205--??",
month = feb,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-060-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:34 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n1;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "{\SGMLquot}Co-Frobenius{\SGMLquot} coalgebras were
introduced as dualizations of Frobenius algebras. We
previously showed that they admit left-right symmetric
characterizations analogue to those of Frobenius
algebras. We consider the more general
quasi-co-Frobenius (QcF) coalgebras; the first main
result in this paper is that these also admit symmetric
characterizations: a coalgebra is QcF if it is weakly
isomorphic to its (left, or right) rational dual $ R a
t(C^*) $, in the sense that certain coproduct or
product powers of these objects are isomorphic.
Fundamental results of Hopf algebras, such as the
equivalent characterizations of Hopf algebras with
nonzero integrals as left (or right) co-Frobenius, QcF,
semiperfect or with nonzero rational dual, as well as
the uniqueness of integrals and a short proof of the
bijectivity of the antipode for such Hopf algebras all
follow as a consequence of these results. This gives a
purely representation theoretic approach to many of the
basic fundamental results in the theory of Hopf
algebras. Furthermore, we introduce a general concept
of Frobenius algebra, which makes sense for infinite
dimensional and for topological algebras, and
specializes to the classical notion in the finite case.
This will be a topological algebra $A$ that is
isomorphic to its complete topological dual $ A^\vee $.
We show that $A$ is a (quasi)Frobenius algebra if and
only if $A$ is the dual $ C^* $ of a
(quasi)co-Frobenius coalgebra $C$. We give many
examples of co-Frobenius coalgebras and Hopf algebras
connected to category theory, homological algebra and
the newer q-homological algebra, topology or graph
theory, showing the importance of the concept.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Broussous:2014:TDP,
author = "P. Broussous",
title = "Transfert du pseudo-coefficient de {Kottwitz} et
formules de caract{\`e}re pour la s{\'e}rie
discr{\`e}te de {$ \mathrm {GL}(N) $} sur un corps
local. (French) [{Transfer} of {Kottwitz}'s
pseudo-coefficient and character formulars for the
discrete series of {$ \mathrm {GL}(N) $} on a local
body]",
journal = j-CAN-J-MATH,
volume = "66",
number = "2",
pages = "241--??",
month = apr,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-010-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:35 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Soit $G$ le groupe $ \mathrm {GL}(N, F) $, o{\`u} $F$
est un corps localement compact et non archim{\'e}dien.
En utilisant la th{\'e}orie des types simples de
Bushnell et Kutzko, ainsi qu'une id{\'e}e originale
d'Henniart, nous construisons des pseudo-coefficients
explicites pour les repr{\'e}sentations de la s{\'e}rie
discr{\`e}te de $G$. Comme application, nous en
d{\'e}duisons des formules in{\'e}dites pour la valeur
du charact{\`e}re d'Harish-Chandra de certaines telles
repr{\'e}sentations en certains {\'e}l{\'e}ments
elliptiques r{\'e}guliers.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
language = "French",
}
@Article{Eikrem:2014:RHF,
author = "Kjersti Solberg Eikrem",
title = "Random Harmonic Functions in Growth Spaces and
{Bloch}-type Spaces",
journal = j-CAN-J-MATH,
volume = "66",
number = "2",
pages = "284--??",
month = apr,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-029-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:35 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $ h^\infty_v(\mathbf D) $ and $ h^\infty_v(\mathbf
B) $ be the spaces of harmonic functions in the unit
disk and multi-dimensional unit ball which admit a
two-sided radial majorant $ v(r) $. We consider
functions $v$ that fulfill a doubling condition. In the
two-dimensional case let $ u (r e^{i \theta }, \xi) =
\sum_{j = 0}^\infty (a_{j0} \xi_{j0} r^j \cos j \theta
+ a_{j1} \xi_{j1} r^j \sin j \theta) $ where $ \xi = \{
\xi_{ji} \} $ is a sequence of random subnormal
variables and $ a_{ji} $ are real; in higher dimensions
we consider series of spherical harmonics. We will
obtain conditions on the coefficients $ a_{ji} $ which
imply that $u$ is in $ h^\infty_v(\mathbf B) $ almost
surely. Our estimate improves previous results by
Bennett, Stegenga and Timoney, and we prove that the
estimate is sharp. The results for growth spaces can
easily be applied to Bloch-type spaces, and we obtain a
similar characterization for these spaces, which
generalizes results by Anderson, Clunie and Pommerenke
and by Guo and Liu.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Elekes:2014:HNS,
author = "M{\'a}rton Elekes and Juris Steprans",
title = "{Haar} Null Sets and the Consistent Reflection of
Non-meagreness",
journal = j-CAN-J-MATH,
volume = "66",
number = "2",
pages = "303--??",
month = apr,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-058-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:35 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "A subset $X$ of a Polish group $G$ is called Haar null
if there exists a Borel set $ B \supset X $ and Borel
probability measure $ \mu $ on $G$ such that $ \mu (g B
h) = 0 $ for every $ g, h \in G $. We prove that there
exist a set $ X \subset \mathbb R $ that is not
Lebesgue null and a Borel probability measure $ \mu $
such that $ \mu (X + t) = 0 $ for every $ t \in \mathbb
R $. This answers a question from David Fremlin's
problem list by showing that one cannot simplify the
definition of a Haar null set by leaving out the Borel
set $B$. (The answer was already known assuming the
Continuum Hypothesis.) This result motivates the
following Baire category analogue. It is consistent
with $ Z F C $ that there exist an abelian Polish group
$G$ and a Cantor set $ C \subset G $ such that for
every non-meagre set $ X \subset G $ there exists a $ t
\in G $ such that $ C \cap (X + t) $ is relatively
non-meagre in $C$. This essentially generalises results
of Bartoszy{\'n}ski and Burke-Miller.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Hohlweg:2014:ABR,
author = "Christophe Hohlweg and Jean-Philippe Labb{\'e} and
Vivien Ripoll",
title = "Asymptotical behaviour of roots of infinite {Coxeter}
groups",
journal = j-CAN-J-MATH,
volume = "66",
number = "2",
pages = "323--??",
month = apr,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-024-6",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:35 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $W$ be an infinite Coxeter group. We initiate the
study of the set $E$ of limit points of ``normalized''
roots (representing the directions of the roots) of W.
We show that $E$ is contained in the isotropic cone $Q$
of the bilinear form $B$ associated to a geometric
representation, and illustrate this property with
numerous examples and pictures in rank $3$ and $4$. We
also define a natural geometric action of $W$ on $E$,
and then we exhibit a countable subset of $E$, formed
by limit points for the dihedral reflection subgroups
of $W$. We explain how this subset is built from the
intersection with $Q$ of the lines passing through two
positive roots, and finally we establish that it is
dense in $E$.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kellerhals:2014:MGR,
author = "Ruth Kellerhals and Alexander Kolpakov",
title = "The Minimal Growth Rate of Cocompact {Coxeter} Groups
in Hyperbolic $3$-space",
journal = j-CAN-J-MATH,
volume = "66",
number = "2",
pages = "354--??",
month = apr,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-062-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:35 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Due to work of W. Parry it is known that the growth
rate of a hyperbolic Coxeter group acting cocompactly
on $ {\mathbb H^3} $ is a Salem number. This being the
arithmetic situation, we prove that the simplex group
(3,5,3) has smallest growth rate among all cocompact
hyperbolic Coxeter groups, and that it is as such
unique. Our approach provides a different proof for the
analog situation in $ {\mathbb H^2} $ where E. Hironaka
identified Lehmer's number as the minimal growth rate
among all cocompact planar hyperbolic Coxeter groups
and showed that it is (uniquely) achieved by the
Coxeter triangle group (3,7).",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Kim:2014:UCB,
author = "Sun Kwang Kim and Han Ju Lee",
title = "Uniform Convexity and {Bishop--Phelps--Bollob{\'a}s}
Property",
journal = j-CAN-J-MATH,
volume = "66",
number = "2",
pages = "373--??",
month = apr,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-009-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:35 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "A new characterization of the uniform convexity of
Banach space is obtained in the sense of
Bishop--Phelps--Bollob{\'a}s theorem. It is also proved
that the couple of Banach spaces $ (X, Y) $ has the
Bishop--Phelps--Bollob{\'a}s property for every Banach
space $y$ when $X$ is uniformly convex. As a corollary,
we show that the Bishop--Phelps--Bollob{\'a}s theorem
holds for bilinear forms on $ \ell_p \times \ell_q $ ($
1 \lt p, q \lt \infty $ ).",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Mashreghi:2014:CIF,
author = "J. Mashreghi and M. Shabankhah",
title = "Composition of Inner Functions",
journal = j-CAN-J-MATH,
volume = "66",
number = "2",
pages = "387--??",
month = apr,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-002-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:35 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We study the image of the model subspace $ K_\theta $
under the composition operator $ C_\varphi $, where $
\varphi $ and $ \theta $ are inner functions, and find
the smallest model subspace which contains the linear
manifold $ C_\varphi K_\theta $. Then we characterize
the case when $ C_\varphi $ maps $ K_\theta $ into
itself. This case leads to the study of the inner
functions $ \varphi $ and $ \psi $ such that the
composition $ \psi \circ \varphi $ is a divisor of $
\psi $ in the family of inner functions.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Mendonca:2014:US,
author = "Bruno Mendon{\c{c}}a and Ruy Tojeiro",
title = "Umbilical Submanifolds of {$ \mathbb {S}^n \times
\mathbb {R} $}",
journal = j-CAN-J-MATH,
volume = "66",
number = "2",
pages = "400--??",
month = apr,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-003-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:35 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We give a complete classification of umbilical
submanifolds of arbitrary dimension and codimension of
$ \mathbb {S}^n \times \mathbb {R} $, extending the
classification of umbilical surfaces in $ \mathbb {S}^2
\times \mathbb {R} $ by Souam and Toubiana as well as
the local description of umbilical hypersurfaces in $
\mathbb {S}^n \times \mathbb {R} $ by Van der Veken and
Vrancken. We prove that, besides small spheres in a
slice, up to isometries of the ambient space they come
in a two-parameter family of rotational submanifolds
whose substantial codimension is either one or two and
whose profile is a curve in a totally geodesic $
\mathbb {S}^1 \times \mathbb {R} $ or $ \mathbb {S}^2
\times \mathbb {R} $, respectively, the former case
arising in a one-parameter family. All of them are
diffeomorphic to a sphere, except for a single element
that is diffeomorphic to Euclidean space. We obtain
explicit parametrizations of all such submanifolds. We
also study more general classes of submanifolds of $
\mathbb {S}^n \times \mathbb {R} $ and $ \mathbb {H}^n
\times \mathbb {R} $. In particular, we give a complete
description of all submanifolds in those product spaces
for which the tangent component of a unit vector field
spanning the factor $ \mathbb {R} $ is an eigenvector
of all shape operators. We show that surfaces with
parallel mean curvature vector in $ \mathbb {S}^n
\times \mathbb {R} $ and $ \mathbb {H}^n \times \mathbb
{R} $ having this property are rotational surfaces, and
use this fact to improve some recent results by
Alencar, do Carmo, and Tribuzy. We also obtain a
Dajczer-type reduction of codimension theorem for
submanifolds of $ \mathbb {S}^n \times \mathbb {R} $
and $ \mathbb {H}^n \times \mathbb {R} $.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Rivera-Noriega:2014:PSI,
author = "Jorge Rivera-Noriega",
title = "Perturbation and Solvability of Initial {$ L^p $}
{Dirichlet} Problems for Parabolic Equations over
Non-cylindrical Domains",
journal = j-CAN-J-MATH,
volume = "66",
number = "2",
pages = "429--??",
month = apr,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-028-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:35 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "For parabolic linear operators $L$ of second order in
divergence form, we prove that the solvability of
initial $ L^p $ Dirichlet problems for the whole range
$ 1 \lt p \lt \infty $ is preserved under appropriate
small perturbations of the coefficients of the
operators involved. We also prove that if the
coefficients of $L$ satisfy a suitable controlled
oscillation in the form of Carleson measure conditions,
then for certain values of $ p \gt 1 $, the initial $
L^p $ Dirichlet problem associated to $ L u = 0 $ over
non-cylindrical domains is solvable. The results are
adequate adaptations of the corresponding results for
elliptic equations.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Vaz:2014:RBA,
author = "Pedro Vaz and Emmanuel Wagner",
title = "A Remark on {BMW} algebra, $q$-{Schur} Algebras and
Categorification",
journal = j-CAN-J-MATH,
volume = "66",
number = "2",
pages = "453--??",
month = apr,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-018-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Tue Mar 4 07:38:35 MST 2014",
bibsource = "http://cms.math.ca/cjm/v66/n2;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We prove that the 2-variable BMW algebra embeds into
an algebra constructed from the HOMFLY-PT polynomial.
We also prove that the $ \mathfrak {so}_{2N} $-BMW
algebra embeds in the $q$-Schur algebra of type $A$. We
use these results to suggest a schema providing
categorifications of the $ \mathfrak {so}_{2N} $-BMW
algebra.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Aguiar:2014:HPH,
author = "Marcelo Aguiar and Swapneel Mahajan",
title = "On the {Hadamard} Product of {Hopf} Monoids",
journal = j-CAN-J-MATH,
volume = "66",
number = "3",
pages = "481--??",
month = jun,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-005-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Thu Jun 12 08:34:05 MDT 2014",
bibsource = "http://cms.math.ca/cjm/v66/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Combinatorial structures that compose and decompose
give rise to Hopf monoids in Joyal's category of
species. The Hadamard product of two Hopf monoids is
another Hopf monoid. We prove two main results
regarding freeness of Hadamard products. The first one
states that if one factor is connected and the other is
free as a monoid, their Hadamard product is free (and
connected). The second provides an explicit basis for
the Hadamard product when both factors are free. The
first main result is obtained by showing the existence
of a one-parameter deformation of the comonoid
structure and appealing to a rigidity result of Loday
and Ronco that applies when the parameter is set to
zero. To obtain the second result, we introduce an
operation on species that is intertwined by the free
monoid functor with the Hadamard product. As an
application of the first result, we deduce that the
Boolean transform of the dimension sequence of a
connected Hopf monoid is nonnegative.",
acknowledgement = ack-nhfb,
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Arapura:2014:HTC,
author = "Donu Arapura",
title = "{Hodge} Theory of Cyclic Covers Branched over a Union
of Hyperplanes",
journal = j-CAN-J-MATH,
volume = "66",
number = "3",
pages = "505--??",
month = jun,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-040-8",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Thu Jun 12 08:34:05 MDT 2014",
bibsource = "http://cms.math.ca/cjm/v66/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Suppose that $Y$ is a cyclic cover of projective space
branched over a hyperplane arrangement $D$, and that
$U$ is the complement of the ramification locus in $Y$.
The first theorem implies that the Beilinson-Hodge
conjecture holds for $U$ if certain multiplicities of
$D$ are coprime to the degree of the cover. For
instance this applies when $D$ is reduced with normal
crossings. The second theorem shows that when $D$ has
normal crossings and the degree of the cover is a prime
number, the generalized Hodge conjecture holds for any
toroidal resolution of $Y$. The last section contains
some partial extensions to more general nonabelian
covers.",
acknowledgement = ack-nhfb,
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Berg:2014:LSH,
author = "Chris Berg and Nantel Bergeron and Franco Saliola and
Luis Serrano and Mike Zabrocki",
title = "A Lift of the {Schur} and {Hall--Littlewood} Bases to
Non-commutative Symmetric Functions",
journal = j-CAN-J-MATH,
volume = "66",
number = "3",
pages = "525--??",
month = jun,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-013-0",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Thu Jun 12 08:34:05 MDT 2014",
bibsource = "http://cms.math.ca/cjm/v66/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We introduce a new basis of the algebra of
non-commutative symmetric functions whose images under
the forgetful map are Schur functions when indexed by a
partition. Dually, we build a basis of the
quasi-symmetric functions which expand positively in
the fundamental quasi-symmetric functions. We then use
the basis to construct a non-commutative lift of the
Hall--Littlewood symmetric functions with similar
properties to their commutative counterparts.",
acknowledgement = ack-nhfb,
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Choiy:2014:TPM,
author = "Kwangho Choiy",
title = "Transfer of {Plancherel} Measures for Unitary
Supercuspidal Representations between $p$-adic Inner
Forms",
journal = j-CAN-J-MATH,
volume = "66",
number = "3",
pages = "566--??",
month = jun,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-063-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Thu Jun 12 08:34:05 MDT 2014",
bibsource = "http://cms.math.ca/cjm/v66/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $F$ be a $p$-adic field of characteristic $0$, and
let $M$ be an $F$-Levi subgroup of a connected
reductive $F$-split group such that $ \Pi_{i = 1}^r S
L_{n_i} \subseteq M \subseteq \Pi_{i = 1}^r G L_{n_i}$
for positive integers $r$ and $ n_i$. We prove that the
Plancherel measure for any unitary supercuspidal
representation of $ M(F)$ is identically transferred
under the local Jacquet-Langlands type correspondence
between $M$ and its $F$-inner forms, assuming a working
hypothesis that Plancherel measures are invariant on a
certain set. This work extends the result of Mui{\'c}
and Savin (2000) for Siegel Levi subgroups of the
groups $ S O_{4n}$ and $ S p_{4n}$ under the local
Jacquet-Langlands correspondence. It can be applied to
a simply connected simple $F$-group of type $ E_6$ or $
E_7$, and a connected reductive $F$-group of type $
A_n$, $ B_n$, $ C_n$ or $ D_n$.",
acknowledgement = ack-nhfb,
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Eilers:2014:OTF,
author = "S{\o}ren Eilers and Gunnar Restorff and Efren Ruiz",
title = "The Ordered {$K$}-theory of a Full Extension",
journal = j-CAN-J-MATH,
volume = "66",
number = "3",
pages = "596--??",
month = jun,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-015-7",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Thu Jun 12 08:34:05 MDT 2014",
bibsource = "http://cms.math.ca/cjm/v66/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $ \mathfrak {A} $ be a $ C^*$-algebra with real
rank zero which has the stable weak cancellation
property. Let $ \mathfrak {I}$ be an ideal of $
\mathfrak {A}$ such that $ \mathfrak {I}$ is stable and
satisfies the corona factorization property. We prove
that $ 0 \to \mathfrak {I} \to \mathfrak {A} \to
\mathfrak {A} / \mathfrak {I} \to 0 $ is a full
extension if and only if the extension is stenotic and
$K$-lexicographic. {As an immediate application, we
extend the classification result for graph $
C^*$-algebras obtained by Tomforde and the first named
author to the general non-unital case. In combination
with recent results by Katsura, Tomforde, West and the
first author, our result may also be used to give a
purely $K$-theoretical description of when an essential
extension of two simple and stable graph $
C^*$-algebras is again a graph $ C^*$-algebra.}",
acknowledgement = ack-nhfb,
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Giambruno:2014:CMV,
author = "Antonio Giambruno and Daniela {La Mattina} and Mikhail
Zaicev",
title = "Classifying the Minimal Varieties of Polynomial
Growth",
journal = j-CAN-J-MATH,
volume = "66",
number = "3",
pages = "625--??",
month = jun,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2013-016-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Thu Jun 12 08:34:05 MDT 2014",
bibsource = "http://cms.math.ca/cjm/v66/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $ \mathcal {V} $ be a variety of associative
algebras generated by an algebra with $1$ over a field
of characteristic zero. This paper is devoted to the
classification of the varieties $ \mathcal {V}$ which
are minimal of polynomial growth (i.e., their sequence
of codimensions growth like $ n^k$ but any proper
subvariety grows like $ n^t$ with $ t \lt k$). These
varieties are the building blocks of general varieties
of polynomial growth. It turns out that for $ k \le 4$
there are only a finite number of varieties of
polynomial growth $ n^k$, but for each $ k \gt 4$, the
number of minimal varieties is at least $ |F|$, the
cardinality of the base field and we give a recipe of
how to construct them.",
acknowledgement = ack-nhfb,
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Grigoryan:2014:HKG,
author = "Alexander Grigor'yan and Jiaxin Hu",
title = "Heat Kernels and {Green} Functions on Metric Measure
Spaces",
journal = j-CAN-J-MATH,
volume = "66",
number = "3",
pages = "641--??",
month = jun,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-061-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Thu Jun 12 08:34:05 MDT 2014",
bibsource = "http://cms.math.ca/cjm/v66/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "We prove that, in a setting of local Dirichlet forms
on metric measure spaces, a two-sided sub-Gaussian
estimate of the heat kernel is equivalent to the
conjunction of the volume doubling propety, the
elliptic Harnack inequality and a certain estimate of
the capacity between concentric balls. The main
technical tool is the equivalence between the capacity
estimate and the estimate of a mean exit time in a
ball, that uses two-sided estimates of a Green function
in a ball.",
acknowledgement = ack-nhfb,
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{He:2014:IRT,
author = "Jianxun He and Jinsen Xiao",
title = "Inversion of the {Radon} Transform on the Free
Nilpotent {Lie} Group of Step Two",
journal = j-CAN-J-MATH,
volume = "66",
number = "3",
pages = "700--??",
month = jun,
year = "2014",
CODEN = "CJMAAB",
DOI = "http://dx.doi.org/10.4153/CJM-2012-056-9",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Thu Jun 12 08:34:05 MDT 2014",
bibsource = "http://cms.math.ca/cjm/v66/n3;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib",
abstract = "Let $ F_{2n, 2} $ be the free nilpotent Lie group of
step two on $ 2 n $ generators, and let $ \mathbf P $
denote the affine automorphism group of $ F_{2n, 2} $.
In this article the theory of continuous wavelet
transform on $ F_{2n, 2} $ associated with $ \mathbf P
$ is developed, and then a type of radial wavelets is
constructed. Secondly, the Radon transform on $ F_{2n,
2} $ is studied and two equivalent characterizations of
the range for Radon transform are given. Several kinds
of inversion Radon transform formulae are established.
One is obtained from the Euclidean Fourier transform,
the others are from group Fourier transform. By using
wavelet transform we deduce an inversion formula of the
Radon transform, which does not require the smoothness
of functions if the wavelet satisfies the
differentiability property. Specially, if $ n = 1 $, $
F_{2, 2} $ is the $3$-dimensional Heisenberg group $
H^1$, the inversion formula of the Radon transform is
valid which is associated with the sub-Laplacian on $
F_{2, 2}$. This result cannot be extended to the case $
n \geq 2$.",
acknowledgement = ack-nhfb,
journal-URL = "http://cms.math.ca/cjm/",
}