On Markov operators and ergodic theorems for group actions

DOI10.1016/J.EJC.2012.03.008zbMath1281.37004OpenAlexW2034566643MaRDI QIDQ444399

Alexey Klimenko, Alexander I. Bufetov

Publication date: 14 August 2012

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2012.03.008

zbMATH Keywords

Markov operatorsergodic theorems for free groups and semigroups

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Positive linear operators and order-bounded operators (47B65) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (6)

A symmetric Markov coding and the ergodic theorem for actions of Fuchsian groups ⋮ Convergence of spherical averages for actions of Fuchsian groups ⋮ A horospherical ratio ergodic theorem for actions of free groups ⋮ Jump inequalities via real interpolation ⋮ Ergodic theorems for the shift action and pointwise versions of the Abért-Weiss theorem ⋮ Amenable equivalence relations and the construction of ergodic averages for group actions

Cites Work

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• Cesàro Convergence of Spherical Averages for Measure-Preserving Actions of Markov Semigroups and Groups
• Symmetric events for some stationary sequences
• Harmonic Analysis and Pointwise Ergodic Theorems for Noncommuting Transformations
• Markov Chains, Skew Products and Ergodic Theorems for “General” Dynamic Systems
• An “alternierende Verfahren” for general positive operators
• Operator ergodic theorems for actions of free semigroups and groups

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