On Possible Estimates of the Rate of Pointwise Convergence in the Birkhoff Ergodic Theorem | Sciact - Система учета научной деятельности ИМ СО РАН

On Possible Estimates of the Rate of Pointwise Convergence in the Birkhoff Ergodic Theorem Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2022, Том: 63, Номер: 2, Страницы: 316-325 Страниц : 10 DOI: 10.1134/S0037446622020094

Ключевые слова

517.987; Birkhoff ergodic theorem; ergodic theorems for subsequences; rate of convergence in ergodic theorems

Авторы

Podvigin I.V. ^1,2

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
2	Novosibirsk State University, Novosibirsk, Russian Federation

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

0314-2019-0005

We study the separation from zero of a sequence $ \phi $to obtain the estimates of the form $ {\phi(n)/n} $ for the rate ofpointwise convergence of ergodic averages.Each of these $ \phi $ is shown to be separated from zero for mixingswhich is not always so for weak mixings.Moreover, for the characteristic function of a nontrivial set,it is shown that there exists a measure preserving transformation witharbitrarily slow decay of ergodic averages.

Podvigin I.V.
On Possible Estimates of the Rate of Pointwise Convergence in the Birkhoff Ergodic Theorem
Siberian Mathematical Journal. 2022. V.63. N2. P.316-325. DOI: 10.1134/S0037446622020094 WOS Scopus РИНЦ OpenAlex

Podvigin I.V.
О возможных оценках скорости поточечной сходимости в эргодической теореме Биркгофа
Сибирский математический журнал. 2022. Т.63. №2. С.379-390. DOI: 10.33048/smzh.2022.63.209 РИНЦ

Web of science:	WOS:000778950000009
Scopus:	2-s2.0-85127770835
РИНЦ:	48426863
OpenAlex:	W4225847979

БД	Цитирований
Scopus	4
Web of science	3
OpenAlex	3
РИНЦ	3