Invariant measures on the space of horofunctions of a word hyperbolic group

DOI10.1017/S0143385708001053zbMath1205.37007arXiv0712.4158OpenAlexW1983751810MaRDI QIDQ5188009

Lewis Phylip Bowen

Publication date: 10 March 2010

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

Full work available at URL: https://arxiv.org/abs/0712.4158

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (7)

Mean convergence of Markovian spherical averages for measure-preserving actions of the free group ⋮ Convergence of spherical averages for actions of Fuchsian groups ⋮ A pointwise ergodic theorem for Fuchsian groups ⋮ Pointwise ergodic theorems beyond amenable groups ⋮ A note on non-commutative ergodic theorems for actions of hyperbolic groups ⋮ Maximal inequality and ergodic theorems for Markov groups ⋮ Amenable equivalence relations and the construction of ergodic averages for group actions

Cites Work

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• Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
• Processes on unimodular random networks
• Continuous bounded cohomology of locally compact groups

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