Email this article Measuring the Rate of Convergence in the Birkhoff Ergodic Theorem
- Authors: Kachurovskii A.G.1,2, Podvigin I.V.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 106, No 1-2 (2019)
- Pages: 52-62
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/151803
- DOI: https://doi.org/10.1134/S0001434619070058
- ID: 151803
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Abstract
Estimates of the rate of convergence in the Birkhoff ergodic theorem which hold almost everywhere are considered. For the action of an ergodic automorphism, the existence of such estimates is proved, their structure is studied, and unimprovability questions are considered.
About the authors
A. G. Kachurovskii
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: agk@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
I. V. Podvigin
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: ipodvigin@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
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