Potential Theory on Infinite Networks by Paolo M. SoardiPotential Theory on Infinite Networks by Paolo M. Soardi

Potential Theory on Infinite Networks

byPaolo M. Soardi

Paperback | October 26, 1994

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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.
Title:Potential Theory on Infinite NetworksFormat:PaperbackDimensions:204 pagesPublished:October 26, 1994Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:354058448X

ISBN - 13:9783540584483


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.