Continuity of asymptotic characteristics for random walks on hyperbolic groups

DOI10.1007/s10688-013-0020-1zbMath1284.60013OpenAlexW2032836325MaRDI QIDQ366113

Vadim A. Kaimanovich, A. G. Erschler

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-013-0020-1

zbMATH Keywords

hyperbolic groupsrandom walkasymptotic entropy

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Hyperbolic groups and nonpositively curved groups (20F67) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

Invariant measures for iterated function systems with inverses ⋮ Regularity of the entropy for random walks on hyperbolic groups ⋮ Deviation inequalities for random walks ⋮ Random walk speed is a proper function on Teichmüller space ⋮ Exponential bounds for random walks on hyperbolic spaces without moment conditions ⋮ Entropy and drift in word hyperbolic groups ⋮ Renewal theory for random walks on surface groups ⋮ Analyticity of the entropy and the escape rate of random walks in hyperbolic groups ⋮ Dimension of harmonic measures in hyperbolic spaces ⋮ Random walks on hyperbolic spaces: concentration inequalities and probabilistic Tits alternative ⋮ The Regularity of the Linear Drift in Negatively Curved Spaces

Cites Work

• Analyticity of the entropy for some random walks
• Random walks on discrete groups: Boundary and entropy
• Random walks on free products of cyclic groups
• The Poisson formula for groups with hyperbolic properties
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