Groups, graphs, and random walks

by Ceccherini-Silberstein, Tullio Salvatori, Maura Sava-Huss, Ecaterina Woess, Wolfgang

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Title Statements

Full title :Groups, graphs, and random walks / edited by Tullio Ceccherini-Silberstein, Maura Salvatori, Ecaterina Sava-Huss.

Summary

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; Schr©œdinger 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.

Edition Statements

Publication Date:2017.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2017.

The Physical Object

Description:1 online resource (xvii, 519 pages) : : PDF file(s).

Edition Identifiers

ISBN:9781316576571, 1316576574, 9781316604403, 1316604403
oclc:on1167472945
LC Classification:QA274.73
Dewey Decimal:519.2/82

Subjects

Arithmetic groups Arithmetic groups -- Congresses Conference papers and proceedings Groupes arithmétiques -- Congrès Marches aléatoires (Mathématiques) -- C… Processus stochastiques -- Congrès Random walks (Mathematics) Random walks (Mathematics) -- Congresses Stochastic Processes Stochastic processes -- Congresses