Groups, graphs, and random walks

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

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

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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, Cornell University, New York.

Summary

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

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:1 online resource

Edition Identifiers

ISBN:9781316818862, 1316818861, 9781316576571, 1316576574
oclc:ocn993878396
LC Classification:QA274.73
Dewey Decimal:519.2/82

Cover; Series information ; Title page ; Copyright information ; Table of contents ; Preface; Conference Photographs; 1 Growth of Groups and Wreath Products; Introduction; 1. Wreath Products; 1.1. Actions; 1.2. History; 1.3. Generators for Wreath Products; 2. Growth of Groups; 2.1. Formal Growth; 2.2. Complete Growth Series; 2.3. Asymptotic Growth; 2.4. History; 3. Growth of Regular Wreath Products; 3.1. Wreath Products Over Finite Sets; 3.2. Lamplighter Groups; 3.3. Regular Wreath Products with Free Groups; 3.4. Travelling Salesmen; 3.5. Asymptotic Growth; 4. (Self- )similar Groups.

7.2. Finite-Valued Permutational Wreath Products7.3. Imbedding in the Derived Subgroup; 7.4. Spreading, Stabilizing, Rectifiable Sequences; 7.5. Subexponential Growth of Wreath Products; 8. Groups of Non-Uniform Exponential Growth; References; 2 Random Walks on Some Countable Groups; 1. Introduction; 1.1. Union of Finite Groups; 1.2. Direct Sums; 1.3. Other Examples; 2. Selected Technical Tools; 3. Random Walks on Increasing Union of Finite Groups; 3.1. On Diagonal Upper Bounds: Convex Combinations of Commuting Probability Densities.

3.2. On Diagonal Bounds: Convex Combinations of Haar Measures and …

Subjects

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