An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the strong connections of the theory with other branches of mathematics, including geometric and combinatorial group theory, potential analysis, and theoretical computer science. This volume brings together original surveys and research-expository papers from renowned and leading experts, many of whom spoke at the workshop 'Groups, Graphs and Random Walks' celebrating the sixtieth birthday of Wolfgang Woess in Cortona, Italy. Topics include: growth and amenability of groups; Schroedinger operators and symbolic dynamics; ergodic theorems; Thompson's group F; Poisson boundaries; probability theory on buildings and groups of Lie type; structure trees for edge cuts in networks; and mathematical crystallography. In what is currently a fast-growing area of mathematics, this book provides an up-to-date and valuable reference for both researchers and graduate students, from which future research activities will undoubtedly stem.

An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.

About the Author
Tullio Ceccherini-Silberstein is a professor in the Department of Engineering at Universita del Sannio (Benevento), Italy. Maura Salvatori is an associate professor in the Department of Mathematics at Universita degli Studi di Milano, Italy. Ecaterina Sava-Huss is a visiting assistant professor in the Department of Mathematics at Cornell University, New York.

Reviews
'All parts are carefully presented, often tending to be self-contained and well documented ... historical developments as well as significant fields of application of the theory are described for the enlightenment of the reader.' Jean-Guillaume Eon, Actas Crystallographica, Section A



Book Information
ISBN 9781316604403
Author Tullio Ceccherini-Silberstein
Format Paperback
Page Count 536
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 780g
Dimensions(mm) 227mm * 151mm * 29mm