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Harmonic Functions on Graphs

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Part of the Lecture Notes in Mathematics book series (LNMECOLE,volume 2100)

Abstract

The main goal of this section is to present the Kaimanovich-Vershik entropic criterion for the existence of harmonic function on Cayley graphs. Note that this section requires more background in probability compared to previous sections. We begin with some definition and simple facts.

Keywords

  • Random Walk
  • Harmonic Function
  • Conditional Expectation
  • Cayley Graph
  • Discrete Random Variable

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2013 Springer International Publishing Switzerland

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Benjamini, I. (2013). Harmonic Functions on Graphs. In: Coarse Geometry and Randomness. Lecture Notes in Mathematics(), vol 2100. Springer, Cham. https://doi.org/10.1007/978-3-319-02576-6_12

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