Harmonic Functions and Potentials on Finite or Infinite Networks is popular PDF and ePub book, written by Victor Anandam in 2011-06-27, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Harmonic Functions and Potentials on Finite or Infinite Networks can be Read Online from any device for your convenience.
Harmonic Functions and Potentials on Finite or Infinite Networks Book PDF Summary
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.
Detail Book of Harmonic Functions and Potentials on Finite or Infinite Networks PDF
- Author : Victor Anandam
- Release : 27 June 2011
- Publisher : Springer Science & Business Media
- ISBN : 9783642213991
- Genre : Mathematics
- Total Page : 152 pages
- Language : English
- PDF File Size : 7,6 Mb
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