Harmonic functions on hyperbolic graphs

DOI10.1090/S0002-9939-2011-10931-6zbMath1246.31003arXiv0905.4118MaRDI QIDQ5388803

Camille Petit

Publication date: 20 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4118

zbMATH Keywords

random walksharmonic functionshyperbolic graphsnon-tangential convergenceboundary at infinityFatou's theorem

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Probabilistic potential theory (60J45) Hyperbolic groups and nonpositively curved groups (20F67) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Boundary theory for Markov processes (60J50) Random walks on graphs (05C81) Potential theory on fractals and metric spaces (31E05)

Related Items

Harmonic analysis invariants for infinite graphs via operators and algorithms, Harmonic analysis on graphs via Bratteli diagrams and path-space measures, Monopoles, dipoles, and harmonic functions on Bratteli diagrams

Cites Work

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