Synopses & Reviews
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.
"a very valuable addition to the literture on this fascinating and important subject." Mathematical Review
"The organization of the book is well-thought-out...The reviewer has a very high opition of this book" Bulletin of the American Mathematical Society"a very valuable addition to the literture on this fascinating and important subject." Mathematical Review
The main theme of this book is the interplay between random walks and discrete structure theory.
Includes bibliographical references (p. 316-330) and index.