Measuring the Rate of Convergence in the Birkhoff Ergodic Theorem Full article
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Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876 |
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| Output data | Year: 2019, Volume: 106, Number: 1-2, Pages: 52-62 Pages count : 11 DOI: 10.1134/s0001434619070058 | ||||
| Tags | individual ergodic theorem; lattice; rate of convergence in ergodic theorems; return time; unimprovability of estimates | ||||
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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.
Cite:
Kachurovskii A.G.
, Podvigin I.V.
Measuring the Rate of Convergence in the Birkhoff Ergodic Theorem
Mathematical Notes. 2019. V.106. N1-2. P.52-62. DOI: 10.1134/s0001434619070058 WOS Scopus РИНЦ OpenAlex
Measuring the Rate of Convergence in the Birkhoff Ergodic Theorem
Mathematical Notes. 2019. V.106. N1-2. P.52-62. DOI: 10.1134/s0001434619070058 WOS Scopus РИНЦ OpenAlex
Original:
Качуровский А.Г.
, Подвигин И.В.
Об измерении скоростей сходимости в эргодической теореме Биркгофа
Математические заметки. 2019. Т.106. №1. С.40-52. DOI: 10.4213/mzm11817 РИНЦ MathNet OpenAlex
Об измерении скоростей сходимости в эргодической теореме Биркгофа
Математические заметки. 2019. Т.106. №1. С.40-52. DOI: 10.4213/mzm11817 РИНЦ MathNet OpenAlex
Identifiers:
| Web of science: | WOS:000483778800005 |
| Scopus: | 2-s2.0-85071517314 |
| Elibrary: | 41642531 |
| OpenAlex: | W2970071219 |