The ratio set of the harmonic measure of a random walk on a hyperbolic group

DOI10.1007/s11856-008-0013-6zbMath1166.37012arXivmath/0602409OpenAlexW2059895536MaRDI QIDQ926427

Rui Okayasu, Masaki Izumi, Sergey V. Neshveyev

Publication date: 27 May 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602409

zbMATH Keywords

Martin boundaryhyperbolic groupsharmonic measurePoisson boundaryGromov boundaryratio set

Mathematics Subject Classification ID

Hyperbolic groups and nonpositively curved groups (20F67) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (16)

Three problems solved by Sébastien Gouëzel ⋮ Local limit theorem for symmetric random walks in Gromov-hyperbolic groups ⋮ Stability phenomena for Martin boundaries of relatively hyperbolic groups ⋮ Local limit theorems in relatively hyperbolic groups II: the non-spectrally degenerate case ⋮ Regularity of the entropy for random walks on hyperbolic groups ⋮ Randomly trapped random walks ⋮ Entropy and drift in word hyperbolic groups ⋮ Hausdorff spectrum of harmonic measure ⋮ Martin boundaries of the duals of free unitary quantum groups ⋮ The type and stable type of the boundary of a Gromov hyperbolic group ⋮ Topological flows for hyperbolic groups ⋮ Pointwise ergodic theorems beyond amenable groups ⋮ Orbit equivalence and von Neumann algebras for expansive interval maps ⋮ Random walks on groups and KMS states ⋮ The Shannon-McMillan-Breiman theorem beyond amenable groups ⋮ Amenable equivalence relations and the construction of ergodic averages for group actions

Cites Work

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