On convergence rates in the Birkhoff ergodic theorem Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
||
|---|---|---|---|
| Output data | Year: 2024, Volume: 65, Number: 5, Pages: 1170-1186 Pages count : 17 DOI: 10.1134/S0037446624050161 | ||
| Tags | convergence rates in ergodic theorems, correlations, large deviations | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
Abstract:
Basing on two approaches, we survey the results about convergence rates in the Birkhoff Ergodic Theorem. The first approach concerns almost everywhere pointwise estimates of ergodic averages, whereas the second relies upon the estimates of the measures of maximal deviations.
Cite:
Podvigin I.V.
On convergence rates in the Birkhoff ergodic theorem
Siberian Mathematical Journal. 2024. V.65. N5. P.1170-1186. DOI: 10.1134/S0037446624050161 WOS Scopus РИНЦ OpenAlex
On convergence rates in the Birkhoff ergodic theorem
Siberian Mathematical Journal. 2024. V.65. N5. P.1170-1186. DOI: 10.1134/S0037446624050161 WOS Scopus РИНЦ OpenAlex
Original:
Подвигин И.В.
О скоростях сходимости в эргодической теореме Биркгофа
Сибирский математический журнал. 2024. Т.65. №5. С.991-1010. DOI: 10.33048/smzh.2024.65.516 РИНЦ
О скоростях сходимости в эргодической теореме Биркгофа
Сибирский математический журнал. 2024. Т.65. №5. С.991-1010. DOI: 10.33048/smzh.2024.65.516 РИНЦ
Dates:
| Submitted: | Aug 9, 2024 |
| Accepted: | Aug 20, 2024 |
| Published print: | Sep 25, 2024 |
| Published online: | Sep 25, 2024 |
Identifiers:
| Web of science: | WOS:001320442300020 |
| Scopus: | 2-s2.0-85204880939 |
| Elibrary: | 69920892 |
| OpenAlex: | W4402841655 |
Citing:
Пока нет цитирований