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

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 is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book

The emphasis in this book is placed on general models (Markov chains, random fields, random graphs), universal methods (the probabilistic method, the coupling m

This monograph provides and explains the mathematics behind geometric graph theory. Applications of this theory are used on the study of neural networks, spread