On uniform convergence in the ergodic theorem

DOI10.1007/BF02169054zbMath0936.28010MaRDI QIDQ1125641

A. G. Kachurovskii

Publication date: 12 December 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

automorphismergodicitystochastic measuresuniform convergence of Cesàro means

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (2)

Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems ⋮ Uniform convergence in von Neumann’s ergodic theorem in the absence of a spectral gap

Cites Work

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• Ergodic theorems. With a supplement by Antoine Brunel
• The rate of convergence in ergodic theorems
• Subsequences of the partial sums of a trigonometric series which are everywhere convergent to zero

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