Entropy and drift in word hyperbolic groups

DOI10.1007/s00222-018-0788-yzbMath1454.37019arXiv1501.05082OpenAlexW2964079624MaRDI QIDQ1702788

Sébastien Gouëzel, François Maucourant, Frédéric Mathéus

Publication date: 28 February 2018

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05082

zbMATH Keywords

entropyhyperbolic groupssymmetric probability measureGuivarc'h inequalityinfinite virtually cyclic

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Ergodic theory on groups (22D40) Discrete subgroups of Lie groups (22E40) Symbolic dynamics (37B10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Random walks on graphs (05C81)

Related Items (17)

Central limit theorems for counting measures in coarse negative curvature ⋮ The fundamental inequality for cocompact Fuchsian groups ⋮ Stability phenomena for Martin boundaries of relatively hyperbolic groups ⋮ Relative growth in hyperbolic groups ⋮ Counting and boundary limit theorems for representations of Gromov‐hyperbolic groups ⋮ Counting problems in graph products and relatively hyperbolic groups ⋮ The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups ⋮ The space of metric structures on hyperbolic groups ⋮ Hausdorff spectrum of harmonic measure ⋮ Dimension of harmonic measures in hyperbolic spaces ⋮ Entropy and drift for word metrics on relatively hyperbolic groups ⋮ Entropy and drift for Gibbs measures on geometrically finite manifolds ⋮ Genericity of contracting elements in groups ⋮ Nonsingular Gaussian actions: beyond the mixing case ⋮ Random walks on hyperbolic spaces: concentration inequalities and probabilistic Tits alternative ⋮ Statistical limit laws for hyperbolic groups ⋮ The Regularity of the Linear Drift in Negatively Curved Spaces

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