Potential Theory on Infinite Networks / Edition 1

by Paolo M. Soardi

Overview

The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. On the contrary, the functional analytic machinery may be used in analogy with potential theory on Riemann manifolds.

The book is intended for researchers with interdisciplinary interests in one of the following fields: Markov chains, combinatorial graph theory, network theory, Dirichlet spaces, potential theory, abstract harmonic analysis, theory of boundaries.

Product Details

ISBN-13:	9783540584483
Publisher:	Springer Berlin Heidelberg
Publication date:	11/29/1994
Series:	Lecture Notes in Mathematics , #1590
Edition description:	1994
Pages:	196
Product dimensions:	6.10(w) x 9.10(h) x 0.60(d)

Table of Contents

Kirchhoff's laws.- Finite networks.- Currents and potentials withfinite energy.- Uniqueness and related topics.- Some examples and computations.- Royden's compactification.- Rough isometries.