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Title Random walks and geometry : proceedings of a workshop at the Erwin Schrödinger Institute, Vienna, June 18-July 13, 2001 / editor, Vadim A. Kaimanovich, in collaboration with Klaus Schmidt and Wolfgang Woess
Published Berlin ; New York : Walter de Gruyter, ©2004

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Description 1 online resource (x, 532 pages) : illustrations
Series De Gruyter Proceedings in Mathematics
Proceedings in mathematics.
Contents Preface; Table of contents; Surveys and longer articles; Some Markov chains on abelian groups withapplications; Random walks and physical models on infinitegraphs: an introduction; The Garden of Eden Theorem for cellularautomata and for symbolic dynamical systems; Expander graphs, random matricesand quantum chaos; The Ihara zeta function of infinite graphs, the KNSspectral measure and integrable maps; Simplicité de spectres de Lyapounov et propriétéd'isolation spectrale pour une famille d'opérateursde transfert sur l'espace projectif; An introduction to the StochasticLoewner Evolution
A canonical form for automorphisms of totallydisconnected locally compact groupsOn the classification of invariant measures forhorosphere foliations on nilpotent covers ofnegatively curved manifolds; Markov processes on vermiculated spaces; Cactus trees and lower bounds on the spectralradius of vertex-transitive graphs; Equilibrium measure, Poisson kernel and effectiveresistance on networks; Internal diffusion limit
Summary Recent developments show that probability methods have become a very powerful tool in such different areas as statistical physics, dynamical systems, Riemannian geometry, group theory, harmonic analysis, graph theory and computer science. This volume is an outcome of the special semester 2001 - Random Walks held at the Schrodinger Institute in Vienna, Austria. It contains original research articles with non-trivial new approaches based on applications of random walks and similar processes to Lie groups, geometric flows, physical models on infinite graphs, random number generators, Lyapunov exp
Analysis Geometry Congresses
Random walks (Mathematics) Congresses
Bibliography Includes bibliographical references
Notes Print version record
Subject Random walks (Mathematics) -- Congresses
Geometry -- Congresses
MATHEMATICS -- Probability & Statistics -- General.
Geometry
Random walks (Mathematics)
Genre/Form Conference papers and proceedings
Form Electronic book
Author Kaimanovich, Vadim A
Schmidt, Klaus, 1943-
Woess, Wolfgang, 1954-
ISBN 9783110198089
3110198088
9783110172379
3110172372