Measuring the Rate of Convergence in the Birkhoff Ergodic Theorem | Sciact - Система учета научной деятельности ИМ СО РАН

Measuring the Rate of Convergence in the Birkhoff Ergodic Theorem Научная публикация

Журнал

Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876

Вых. Данные

Год: 2019, Том: 106, Номер: 1-2, Страницы: 52-62 Страниц : 11 DOI: 10.1134/s0001434619070058

Ключевые слова

individual ergodic theorem; lattice; rate of convergence in ergodic theorems; return time; unimprovability of estimates

Авторы

Kachurovskii A.G. ^1,2 , Podvigin I.V. ^1,2

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University

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.

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

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

Web of science:	WOS:000483778800005
Scopus:	2-s2.0-85071517314
РИНЦ:	41642531
OpenAlex:	W2970071219

БД	Цитирований
Web of science	8
Scopus	9
РИНЦ	6
OpenAlex	10