This book presents recently obtained mathematical results on Gibbs measures of the q-state Potts model on the integer lattice and on Cayley trees. It also illus

The purpose of this book is to present systematically all known mathematical results on Gibbs measures on Cayley trees (Bethe lattices). The Gibbs measure is a

The Gibbs measure is a probability measure, which has been an important object in many problems of probability theory and statistical mechanics. It is the measu

The intersection of combinatorics and statistical physics has experienced great activity in recent years. This flurry of activity has been fertilized by an exch

This volume is dedicated to the theory of phase transitions and its interdisciplinary aspects. More specifically, the idea is to discuss the notion of the Gibbs