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Potential theory on infinite networks

Author: Paolo M Soardi
Publisher: Heidelberg ; New York : Springer-Verlag, ©1994.
Series: Lecture notes in mathematics (Springer-Verlag), 1590.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Additional Physical Format: Online version:
Soardi, Paolo M. (Paolo Maurizio), 1946-
Potential theory on infinite networks.
Heidelberg ; New York : Springer-Verlag, ©1994
(OCoLC)625153900
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Paolo M Soardi
ISBN: 354058448X 9783540584483 038758448X 9780387584485
OCLC Number: 31011136
Description: viii, 187 pages : illustrations ; 24 cm.
Contents: Introduction ----
Kirchhoff's laws ---
Finite networks ---
Currents and potentials with finite energy ---
Uniqueness and related topics ---
Some examples and computations ---
Royden's compactification ---
Rough isometries ---
Appendix: Nonlinear networks.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1590.
Responsibility: Paolo M. Soardi.
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Abstract:

This monograph presents a unified approach to new developments in discrete potential theory and infinite network theory. It is aimed at researchers working with Markov chains, Dirichlet spaces,  Read more...

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