Pointwise ergodic theorems with rate and application to the CLT for Markov chains

DOI10.1214/08-AIHP180zbMath1186.37013OpenAlexW2094737585MaRDI QIDQ731730

Michael Lin, Christophe Cuny

Publication date: 8 October 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78040

zbMATH Keywords

probability preserving transformationscentral limit theorem for Markov chainsDunford-Schwartz operatorsergodic theorems with rates

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

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