Martin boundary of random walks with unbounded jumps in hyperbolic groups

DOI10.1214/14-AOP938zbMath1326.31006arXiv1302.5388OpenAlexW3102837650MaRDI QIDQ888530

Sébastien Gouëzel

Publication date: 30 October 2015

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5388

zbMATH Keywords

Martin boundaryhyperbolic grouprandom walklocal limit theoremGromov boundary

Mathematics Subject Classification ID

Martin boundary theory (31C35) Boundary theory for Markov processes (60J50) Probability theory on algebraic and topological structures (60B99)

Related Items (16)

Three problems solved by Sébastien Gouëzel ⋮ An embedding of the Morse boundary in the Martin boundary ⋮ Deviation inequalities for random walks ⋮ The Martin boundary of a free product of abelian groups ⋮ Limit Set of Branching Random Walks on Hyperbolic Groups ⋮ The Martin boundary of an extension by a hyperbolic group ⋮ Entropy and drift in word hyperbolic groups ⋮ Martin boundary covers Floyd boundary ⋮ Ratio limits and Martin boundary ⋮ Brownian motion on treebolic space: positive harmonic functions ⋮ Analyticity of the entropy and the escape rate of random walks in hyperbolic groups ⋮ Positive harmonic functions of transformed random walks ⋮ Positive harmonic functions on the Heisenberg group. II ⋮ Local limit theorem in negative curvature ⋮ Random walks on groups and KMS states ⋮ Random walks of infinite moment on free semigroups

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