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Potential Theory on Infinite Networks
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Catalogue Information
Field name
Details
Dewey Class
519.2
Title
Potential Theory on Infinite Networks ([EBook]) / by Paolo M. Soardi.
Author
Soardi, Paolo Maurizio
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1994.
Physical Details
VIII, 196 pages : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1590
ISBN
9783540487982
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.:
Contents note
Kirchhoff's laws -- Finite networks -- Currents and potentials withfinite energy -- Uniqueness and related topics -- Some examples and computations -- Royden's compactification -- Rough isometries.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0073995
Links to Related Works
Subject References:
Combinatorics
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Mathematics
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Potential Theory
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Potential theory (Mathematics)
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Probabilities
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Probability theory and stochastic processes
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Authors:
Soardi, Paolo Maurizio
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
519.2
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