von-Neumann and Birkhoff ergodic theorems for negatively curved groups

zbMath1359.37007arXiv1303.4109MaRDI QIDQ2788603

Amos Nevo, Lewis Phylip Bowen

Publication date: 19 February 2016

Full work available at URL: https://arxiv.org/abs/1303.4109

zbMATH Keywords

Poisson boundaryPatterson-Sullivan measuremaximal inequalityergodic theoremmeasurable equivalence relationsnegatively curved group

Mathematics Subject Classification ID

Geometric group theory (20F65) Ergodic theory on groups (22D40) Ergodic theorems, spectral theory, Markov operators (37A30) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (8)

Mean convergence of Markovian spherical averages for measure-preserving actions of the free group ⋮ A symmetric Markov coding and the ergodic theorem for actions of Fuchsian groups ⋮ Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups ⋮ Critical exponents of invariant random subgroups in negative curvature ⋮ Convergence of spherical averages for actions of Fuchsian groups ⋮ Shannon-McMillan-Breiman theorem along almost geodesics in negatively curved groups ⋮ Ergodic boundary representations ⋮ Amenable equivalence relations and the construction of ergodic averages for group actions

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