Harmonic Functions and Potentials on Finite or Infinite Networks (Paperback, Edition.)

Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized, one example being the axiomatic potential theory on locally compact spaces developed by Brelot, with later ramifications from Bauer, Constantinescu and Cornea. A network is a graph with edge-weights that need not be symmetric. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network, on the lines of axiomatic potential theory. Random walks and electrical networks are important sources for the advancement of the theory.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes of the Unione Matematica Italiana, 12
Release date:	June 2011
First published:	2011
Authors:	Victor Anandam
Dimensions:	235 x 155 x 10mm (L x W x T)
Format:	Paperback
Pages:	141
Edition:	Edition.
ISBN-13:	978-3-642-21398-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
LSN:	3-642-21398-7
Barcode:	9783642213984

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