A horospherical ratio ergodic theorem for actions of free groups

DOI10.4171/GGD/228zbMath1347.37008arXiv1207.3569OpenAlexW2963550562MaRDI QIDQ399409

Amos Nevo, Lewis Phylip Bowen

Publication date: 19 August 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3569

zbMATH Keywords

free groupsergodic theorem

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Free nonabelian groups (20E05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10)

Related Items

Mean convergence of Markovian spherical averages for measure-preserving actions of the free group ⋮ Convergence of spherical averages for actions of Fuchsian groups ⋮ Amenable equivalence relations and the construction of ergodic averages for group actions

Cites Work

• Geometric covering arguments and ergodic theorems for free groups
• On Markov operators and ergodic theorems for group actions
• Pointwise ergodic theorems beyond amenable groups
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