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Potential theory on infinite networks / Paolo M. Soardi.
Author
Soardi, Paolo M. (Paolo Maurizio), 1946-
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Format
Book
Language
English
Published/Created
Heidelberg ; New York : Springer-Verlag, ©1994.
Description
viii, 187 pages : illustrations ; 24 cm
Availability
Available Online
Online Content
Springer Nature - Springer Lecture Notes in Mathematics eBooks
SpringerLink Books Lecture Notes In Mathematics Archive
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA3 .L28 no.1590
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Details
Subject(s)
Potential theory (Mathematics)
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Network analysis (Planning)
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Series
Lecture notes in mathematics (Springer-Verlag) ; 1590.
[More in this series]
Lecture notes in mathematics ; 1590
Summary note
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.
Bibliographic references
Includes bibliographical references (p. [179]-183) and index.
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.
Other format(s)
Also available in an electronic version.
ISBN
354058448X
9783540584483
038758448X
9780387584485
LCCN
94034403
OCLC
31011136
International Article Number
9783540584483
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Potential theory on infinite networks / Paolo M. Soardi.
id
99125186132606421
Potential theory on infinite networks / Paolo M. Soardi.
id
SCSB-8562507