Share

The Geometry and Topology of Coxeter Groups. (LMS-32)

2012-11-26 Mathematics
Download The Geometry and Topology of Coxeter Groups. (LMS-32) PDF Online Free

Author :
Release : 2012-11-26
Genre : Mathematics
Kind : eBook
Book Rating : 947/5 ( reviews)

GET EBOOK


Book Synopsis The Geometry and Topology of Coxeter Groups. (LMS-32) by : Michael Davis

Download or read book The Geometry and Topology of Coxeter Groups. (LMS-32) written by Michael Davis. This book was released on 2012-11-26. Available in PDF, EPUB and Kindle. Book excerpt: The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures.

Log-Gases and Random Matrices (LMS-34)

2010-07-01 Mathematics
Download Log-Gases and Random Matrices (LMS-34) PDF Online Free

Author :
Release : 2010-07-01
Genre : Mathematics
Kind : eBook
Book Rating : 410/5 ( reviews)

GET EBOOK


Book Synopsis Log-Gases and Random Matrices (LMS-34) by : Peter J. Forrester

Download or read book Log-Gases and Random Matrices (LMS-34) written by Peter J. Forrester. This book was released on 2010-07-01. Available in PDF, EPUB and Kindle. Book excerpt: Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack polynomials. Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as examples of integrable or exactly solvable systems. Forrester develops not only the application and theory of Gaussian and circular ensembles of classical random matrix theory, but also of the Laguerre and Jacobi ensembles, and their beta extensions. Prominence is given to the computation of a multitude of Jacobians; determinantal point processes and orthogonal polynomials of one variable; the Selberg integral, Jack polynomials, and generalized hypergeometric functions; Painlevé transcendents; macroscopic electrostatistics and asymptotic formulas; nonintersecting paths and models in statistical mechanics; and applications of random matrix theory. This is the first textbook development of both nonsymmetric and symmetric Jack polynomial theory, as well as the connection between Selberg integral theory and beta ensembles. The author provides hundreds of guided exercises and linked topics, making Log-Gases and Random Matrices an indispensable reference work, as well as a learning resource for all students and researchers in the field.

Geometry, Topology, and Dynamics in Negative Curvature

2016-01-21 Mathematics
Download Geometry, Topology, and Dynamics in Negative Curvature PDF Online Free

Author :
Release : 2016-01-21
Genre : Mathematics
Kind : eBook
Book Rating : 180/5 ( reviews)

GET EBOOK


Book Synopsis Geometry, Topology, and Dynamics in Negative Curvature by : C. S. Aravinda

Download or read book Geometry, Topology, and Dynamics in Negative Curvature written by C. S. Aravinda. This book was released on 2016-01-21. Available in PDF, EPUB and Kindle. Book excerpt: The 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.

Symmetric Markov Processes, Time Change, and Boundary Theory (LMS-35)

2012 Mathematics
Download Symmetric Markov Processes, Time Change, and Boundary Theory (LMS-35) PDF Online Free

Author :
Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 05X/5 ( reviews)

GET EBOOK


Book Synopsis Symmetric Markov Processes, Time Change, and Boundary Theory (LMS-35) by : Zhen-Qing Chen

Download or read book Symmetric Markov Processes, Time Change, and Boundary Theory (LMS-35) written by Zhen-Qing Chen. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive and self-contained introduction to the theory of symmetric Markov processes and symmetric quasi-regular Dirichlet forms. In a detailed and accessible manner, Zhen-Qing Chen and Masatoshi Fukushima cover the essential elements and applications of the theory of symmetric Markov processes, including recurrence/transience criteria, probabilistic potential theory, additive functional theory, and time change theory. The authors develop the theory in a general framework of symmetric quasi-regular Dirichlet forms in a unified manner with that of regular Dirichlet forms, emphasizing the role of extended Dirichlet spaces and the rich interplay between the probabilistic and analytic aspects of the theory. Chen and Fukushima then address the latest advances in the theory, presented here for the first time in any book. Topics include the characterization of time-changed Markov processes in terms of Douglas integrals and a systematic account of reflected Dirichlet spaces, and the important roles such advances play in the boundary theory of symmetric Markov processes. This volume is an ideal resource for researchers and practitioners, and can also serve as a textbook for advanced graduate students. It includes examples, appendixes, and exercises with solutions.

Prime-Detecting Sieves (LMS-33)

2020-05-26 Mathematics
Download Prime-Detecting Sieves (LMS-33) PDF Online Free

Author :
Release : 2020-05-26
Genre : Mathematics
Kind : eBook
Book Rating : 990/5 ( reviews)

GET EBOOK


Book Synopsis Prime-Detecting Sieves (LMS-33) by : Glyn Harman

Download or read book Prime-Detecting Sieves (LMS-33) written by Glyn Harman. This book was released on 2020-05-26. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the ideas common to each, in particular the use of Type I and Type II information. No other book has undertaken such a systematic treatment of prime-detecting sieves. Among the many topics Glyn Harman covers are primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander and Iwaniec on primes that are a sum of a square and a fourth power, and Heath-Brown's work on primes represented as a cube plus twice a cube. This book contains much that is accessible to beginning graduate students, yet also provides insights that will benefit established researchers.

You may also like...