Groups, graphs, and random walks

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

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Groups, graphs, and random walks / edited by Tullio Ceccherini-Silberstein, Università degli Studi del Sannio, Italy ; Maura Salvatori, Università degli Studi di Milano ; Ecaterina Sava-Huss, Graz University of Technology, Austria.

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; Schrödinger 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.

Notes

Based on the workshop "Groups, Graphs and Random Walks," held in Cortona, Italy, on June 2-6, 2014, on the occasion of the 60th birthday of Wolfgang Woess.

The Physical Object

Description:xvii, 519 pages : : illustrations ; : 23 cm.

Edition Identifiers

ISBN:9781316604403, 1316604403
oclc:ocn948670194
LC Classification:QA274.73
Dewey Decimal:519.2/82

Machine generated contents note: 1.Growth of Groups and Wreath Products / Laurent Bartholdi -- 2.Random Walks on Some Countable Groups / Laurent Saloff-Coste -- 3.The Cost of Distinguishing Graphs / Wilfried Imrich -- 4.A Construction of the Measurable Poisson Boundary: From Discrete to Continuous Groups / Sara Brofferio -- 5.Structure Trees, Networks and Almost Invariant Sets / Martin J. Dunwoody -- 6.Amenability of Trees / Keivan Mallahi-Karai -- 7.Group-Walk Random Graphs / Agelos Georgakopoulos -- 8.Ends of Branching Random Walks on Planar Hyperbolic Cayley Graphs / Sebastian Muller -- 9.Amenability and Ergodic Properties of Topological Groups: From Bogolyubov Onwards / Pierre de la Harpe -- 10.Schreier Graphs of Grigorchuk's Group and a Subshift Associated to a Nonprimitive Substitution / Tatiana Nagnibeda -- 11.Thompson's Group F is Not Liouville / Vadim A. Kaimanovich -- 12.A Proof of the Subadditive Ergodic Theorem / Anders Karlsson

Note continued: 13.Boundaries of Zn-Free Groups / Denis Serbin -- 14.Buildings, Groups of Lie Type and Random Walks / James Parkinson -- 15.On Some Random Walks Driven by Spread-Out Measures / Tianyi Zheng.

Subjects

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