Hausdorff dimension of the harmonic measure on trees

DOI10.1017/S0143385798108180zbMath0960.60047OpenAlexW2146888542MaRDI QIDQ4236834

Vadim A. Kaimanovich

Publication date: 28 May 2000

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385798108180

zbMATH Keywords

random walksHausdorff dimensionharmonic measuretreesMarkov operators

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Ergodic theorems, spectral theory, Markov operators (37A30) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Hausdorff and packing measures (28A78)

Related Items (17)

Boundary and entropy of space homogeneous Markov chains ⋮ Random walks on free products of cyclic groups ⋮ The subadditive ergodic theorem and generic stretching factors for free group automorphisms. ⋮ The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups ⋮ Harmonic means ⋮ Random walks on directed covers of graphs ⋮ Branching number of a pseudogroup ⋮ Some topics in the dynamics of group actions on rooted trees. ⋮ Hausdorff spectrum of harmonic measure ⋮ Matrix random products with singular harmonic measure ⋮ Invariance, quasi-invariance, and unimodularity for random graphs ⋮ Dimension of harmonic measures in hyperbolic spaces ⋮ Finite graphs and amenability ⋮ Singularity of the harmonic measure on the boundary of a hyperbolic group. ⋮ Hyperbolic and parabolic unimodular random maps ⋮ Dimensional properties of the harmonic measure for a random walk on a hyperbolic group ⋮ Amenability and the Liouville property

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