Harmonic Functions and Potentials on Finite or Infinite Networks
Language: English
Published by Springer, Springer Vieweg Jun 2011, 2011
Series: Book 11 of 26 - Lecture Notes of the Unione Matematica Italiana
- Softcover
- New
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germanybuchversandmimpf2000
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This item is printed on demand - Print on Demand Titel. 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 156 pp. Englisch.…
Seller Inventory # 9783642213984
- Title
- Harmonic Functions and Potentials on Finite or Infinite Networks
- Author
- Victor Anandam
- Publisher
- Springer, Springer Vieweg 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
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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