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Harmonic Functions and Potentials on Finite or Infinite Networks by Victor Anandam (Paperback, 2011)

About this product

About this product

Product Information

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.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783642213984
eBay Product ID (ePID)
108698418

Product Key Features

Author
Victor Anandam
Publication Name
Harmonic Functions and Potentials on Finite or Infinite Networks
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2011
Type
Textbook
Number of Pages
141 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
12
Item Weight
248g

Additional Product Features

Title_Author
Victor Anandam
Series Title
Lecture Notes of the Unione Matematica Italiana
Country/Region of Manufacture
Germany

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