Harmonic functions on hyperbolic graphs-Reference-Cited by-同舟云学术

Harmonic functions on hyperbolic graphs

Published:2011-05-17 Issue:1 Volume:140 Page:235-248
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Petit Camille

Abstract

We consider admissible random walks on hyperbolic graphs. For a given harmonic function on such a graph, we prove that asymptotic properties of non-tangential boundedness and non-tangential convergence are almost everywhere equivalent. The proof is inspired by the works of F. Mouton in the cases of Riemannian manifolds of pinched negative curvature and infinite trees. It involves geometric and probabilitistic methods.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2012-140-01/S0002-9939-2011-10931-6/S0002-9939-2011-10931-6.pdf

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