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Potential Theory on Infinite Networks

Potential Theory on Infinite Networks
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
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