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＜電子ブック＞
Potential Theory on Infinite Networks / by Paolo M. Soardi
(Lecture Notes in Mathematics. ISSN:16179692 ; 1590)

版	1st ed. 1994.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1994
大きさ	VIII, 196 p : online resource
著者標目	*Soardi, Paolo M author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Discrete mathematics LCSH:Potential theory (Mathematics) FREE:Probability Theory FREE:Discrete Mathematics FREE:Potential Theory
一般注記	Kirchhoff's laws -- Finite networks -- Currents and potentials withfinite energy -- Uniqueness and related topics -- Some examples and computations -- Royden's compactification -- Rough isometries 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 HTTP:URL=https://doi.org/10.1007/BFb0073995

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