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Potential Theory on Infinite Networks : Lecture Notes in Mathematics - Paolo M. Soardi

Potential Theory on Infinite Networks

Lecture Notes in Mathematics

Paperback Published: 26th October 1994
ISBN: 9783540584483
Number Of Pages: 196

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The aim of this text 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, and the theory of boundaries.

Kirchhoff's lawsp. 1
Finite networksp. 22
Currents and potentials with finite energyp. 32
Uniqueness and related topicsp. 72
Some examples and computationsp. 100
Royden's compactificationp. 131
Rough isometriesp. 160
Appendix. Nonlinear networksp. 173
Bibliographyp. 179
Indexp. 184
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540584483
ISBN-10: 354058448X
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 196
Published: 26th October 1994
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.09
Weight (kg): 0.29