Cesàro Convergence of Spherical Averages for Measure-Preserving Actions of Markov Semigroups and Groups

DOI10.1093/IMRN/RNR181zbMath1267.22003arXiv1101.5459OpenAlexW2047026930MaRDI QIDQ3143445

Alexey Klimenko, Mikhail Khristoforov, Alexander I. Bufetov

Publication date: 30 November 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5459

zbMATH Keywords

spherical averagesCesaro convergenceMarko semigroup

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory on groups (22D40)

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 ⋮ Convergence of spherical averages for actions of Fuchsian groups ⋮ Sensitivity and historic behavior for continuous maps on Baire metric spaces ⋮ On Markov operators and ergodic theorems for group actions ⋮ 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

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