Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Harmonic Functions and Potentials on Finite or Infinite Networks

Harmonic Functions and Potentials on Finite or Infinite Networks

Anandam, Victor

Paperback

Series: Lecture Notes Of The Unione Matematica Italiana, Book 12

General Mathematics

ISBN10: 3642213987
ISBN13: 9783642213984
Publisher: Springer Pg
Published: Jun 29 2011
Pages: 141
Weight: 0.50
Height: 0.40 Width: 6.10 Depth: 8.90
Language: English
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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