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 c

This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probabil

The classical theory of random walks describes the asymptotic behavior of sums of independent identically distributed random real variables. This book explains

This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov’s pivotal work in the 1980s. It includes clas

Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty ye