Random Walks on Infinite Graphs and Groups

Wolfgang Woess

ISBN 10: 0521061725 / ISBN 13: 9780521061728

Published by Cambridge University Press, 2008

About this Item

Druck auf Anfrage Neuware - Printed after ordering - The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.

Seller Inventory # 9780521061728

Bibliographic Details

• Title: Random Walks on Infinite Graphs and Groups
• Publisher: Cambridge University Press
• Publication Date: 2008
• Language: English
• ISBN 10: 0521061725
• ISBN 13: 9780521061728
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 229W x 152H x 21D millimeters 229 millimeters width by 152 millimeters height by 21 millimeters depth
• Weight: 569 grams

About this title

Synopsis

This eminent work focuses on the interplay between the behavior of random walks and discrete structure theory. Wolfgang Woess considers Markov chains whose state space is equipped with the structure of an infinite, locally-finite graph, or of a finitely generated group. He assumes the transition probabilities are adapted to the underlying structure in some way that must be specified precisely in each case. He also explores the impact the particular type of structure has on various aspects of the behavior of the random walk. In addition, the author shows how random walks are useful tools for classifying, or at least describing, the structure of graphs and groups.

Book Description

The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. This book will be essential reading for all researchers working in stochastic process and related topics.