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Harmonic Functions and Potentials on Finite or Infinite Networksby Victor Anandam
Springer 2011; US$ 39.99Random 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.... more...
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