Slow convergences of ergodic averages

DOI10.1134/S0001434623050103zbMath1522.37006arXiv2211.06599OpenAlexW4381331251MaRDI QIDQ6114305

V. V. Ryzhikov

Publication date: 11 July 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.06599

zbMATH Keywords

rate of convergenceergodic averagesconvergence almost everywhereconvergence in norm

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30)

Cites Work

• On the speed of convergence in the ergodic theorem
• The Rokhlin-Halmos-Alpern maximal lemma
• On possible estimates of the rate of pointwise convergence in the Birkhoff ergodic theorem
• Return times and conjugates of an antiperiodic transformation

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