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

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

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

This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary rese