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Harmonic Functions on Graphs

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Coarse Geometry and Randomness

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

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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.

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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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