Harmonic Functions and Potentials on Finite or Infinite Networks

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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 gener...
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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 gener...
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  • ISBN: 9783642213991
  • Number of pages: 141
  • Copy protection: Watermark
  • Publication Date: Jun 27, 2011
  • Publisher: SPRINGER
  • Language: English
  • Format: pdf