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Author: Richard Douglas Canary
Publisher: American Mathematical Soc.
Published: 2004
Total Pages: 238
ISBN-13: 0821835491
DOWNLOAD EBOOKThree volume narrative history of 20th century.
Author: Stefano Pigola
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 118
ISBN-13: 0821836390
DOWNLOAD EBOOKAims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.
Author: C. S. Aravinda
Publisher: Cambridge University Press
Published: 2016-01-21
Total Pages: 378
ISBN-13: 1316539180
DOWNLOAD EBOOKThe ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten survey articles written by some of the leading experts in the field, this proceedings volume provides an overview of important recent developments relating to negative curvature. Topics covered include homogeneous dynamics, harmonic manifolds, the Atiyah Conjecture, counting circles and arcs, and hyperbolic buildings. Each author pays particular attention to the expository aspects, making the book particularly useful for graduate students and mathematicians interested in transitioning from other areas via the common theme of negative curvature.
Author: Enrique Artal-Bartolo
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 98
ISBN-13: 0821838768
DOWNLOAD EBOOKIntends to prove the monodromy conjecture for the local Igusa zeta function of a quasi-ordinary polynomial of arbitrary dimension defined over a number field. In order to do it, this title computes the local Denef-Loeser motivic zeta function $Z_{\text{DL}}(h, T)$ of a quasi-ordinary power series $h$ of arbitrary dimension
Author: Mihai Ciucu
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 162
ISBN-13: 082183794X
DOWNLOAD EBOOKStudies the correlation of holes in random lozenge (i.e., unit rhombus) tilings of the triangular lattice. This book analyzes the joint correlation of these triangular holes when their complement is tiled uniformly at random by lozenges.
Author: Joseph A. Ball
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 114
ISBN-13: 0821837680
DOWNLOAD EBOOKThe evolution operator for the Lax-Phillips scattering system is an isometric representation of the Cuntz algebra, while the nonnegative time axis for the conservative, linear system is the free semigroup on $d$ letters. This title presents a multivariable setting for Lax-Phillips scattering and for conservative, discrete-time, linear systems.
Author: Denis V. Osin
Publisher: American Mathematical Soc.
Published: 2006
Total Pages: 114
ISBN-13: 0821838210
DOWNLOAD EBOOKIn this the authors obtain an isoperimetric characterization of relatively hyperbolicity of a groups with respect to a collection of subgroups. This allows them to apply classical combinatorial methods related to van Kampen diagrams to obtain relative analogues of some well-known algebraic and geometric properties of ordinary hyperbolic groups. There is also an introduction and study of the notion of a relatively quasi-convex subgroup of a relatively hyperbolic group and solve somenatural algorithmic problems.
Author: Harold G. Dales
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 206
ISBN-13: 0821837745
DOWNLOAD EBOOKLet $A$ be a Banach algebra, with second dual space $A""$. We propose to study the space $A""$ as a Banach algebra. There are two Banach algebra products on $A""$, denoted by $\,\Box\,$ and $\,\Diamond\,$. The Banach algebra $A$ is Arens regular if the two products $\Box$ and $\Diamond$ coincide on $A""$.
Author: Claus Mokler
Publisher: American Mathematical Soc.
Published: 2005
Total Pages: 104
ISBN-13: 082183648X
DOWNLOAD EBOOKBy an easy generalization of the Tannaka-Krein reconstruction we associate to the category of admissible representations of the category ${\mathcal O}$ of a Kac-Moody algebra, and its category of admissible duals, a monoid with a coordinate ring. The Kac-Moody group is the Zariski open dense unit group of this monoid. The restriction of the coordinate ring to the Kac-Moody group is the algebra of strongly regular functions introduced by V. Kac and D. Peterson. This monoid has similar structural properties as a reductive algebraic monoid. In particular it is unit regular, its idempotents related to the faces of the Tits cone. It has Bruhat and Birkhoff decompositions. The Kac-Moody algebra is isomorphic to the Lie algebra of this monoid.
