Harmonic Functions and Potentials on Finite or Infinite Networks Paperback / softback
by Victor Anandam
Part of the Lecture Notes of the Unione Matematica Italiana series
Paperback / softback
Description
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.
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-
Item not Available
- Format:Paperback / softback
- Pages:141 pages, X, 141 p.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:29/06/2011
- Category:
- ISBN:9783642213984
Other Formats
- PDF from £27.19
Information
-
Item not Available
- Format:Paperback / softback
- Pages:141 pages, X, 141 p.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:29/06/2011
- Category:
- ISBN:9783642213984
