Harmonic Functions and Potentials on Finite or Infinite Networks

Language: English

Published by Springer Berlin Heidelberg Jun 2011, 2011

3642213987 / 9783642213984

Series: Book 11 of 26 - Lecture Notes of the Unione Matematica Italiana

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 156 pp. Englisch.

Seller Inventory # 9783642213984

Title
Harmonic Functions and Potentials on Finite or Infinite Networks
Author
Victor Anandam
Publisher
Springer Berlin Heidelberg Jun 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642213987
ISBN 13
9783642213984
Item weight
248 grams
Dimensions
235x155x9 mm
Series
Book 11 of 26: Lecture Notes of the Unione Matematica Italiana

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

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BuchWeltWeit Ludwig Meier e.K.

Germany