Ergodic theorems for actions of hyperbolic groups

DOI10.1090/S0002-9939-2012-11447-9zbMath1266.28008OpenAlexW2035195290MaRDI QIDQ4910787

Mark Pollicott, Richard Sharp

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11447-9

zbMATH Keywords

word hyperbolic groupMarkov operatorspherical averagesstrongly Markov group

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) General groups of measure-preserving transformations (28D15) Ergodic theorems, spectral theory, Markov operators (37A30) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items

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, Convergence of spherical averages for actions of Fuchsian groups, Maximal inequality and ergodic theorems for Markov groups, Amenable equivalence relations and the construction of ergodic averages for group actions, On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections

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