Random Walks on Infinite Graphs and Groups
(Book #138 in the Cambridge Tracts in Mathematics Series)
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Book Overview
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.
Format:Paperback
Language:English
ISBN:0521061725
ISBN13:9780521061728
Release Date:May 2008
Publisher:Cambridge University Press
Length:352 Pages
Weight:1.13 lbs.
Dimensions:0.8" x 6.0" x 9.0"
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