Probability theory, like much of mathematics, is indebted to physics as a source of problems and intuition for solving these problems. Unfortunately, the level

This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition.

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 self-contained book examines results on transfinite graphs and networks achieved through continued research effort over the past several years. These new r

This volume provides a relatively accessible introduction to its subject that captures the essential ideas of transfiniteness for graphs and networks.