Groups, graphs and random walks

An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.;Cover; Series information ; Title page ; Copyright information ; Table of contents ; Preface; Conference Photographs; 1 Growth of Groups and Wreath Products; Introduction; 1. Wreath Products; 1.1. Actions; 1.2. History; 1.3. Generators for Wreath Products; 2. Growth of Groups; 2.1. Formal Growth; 2.2. Complete Growth Series; 2.3. Asymptotic Growth; 2.4. History; 3. Growth of Regular Wreath Products; 3.1. Wreath Products Over Finite Sets; 3.2. Lamplighter Groups; 3.3. Regular Wreath Products with Free Groups; 3.4. Travelling Salesmen; 3.5. Asymptotic Growth; 4. (Self- )similar Groups.