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Large deviations and the rate of convergence in the Birkhoff ergodic theorem Научная публикация

Журнал

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

Вых. Данные

Год: 2013, Том: 94, Номер: 3-4, Страницы: 524-531 Страниц : 8 DOI: 10.1134/s0001434613090228

Ключевые слова

Anosov systems; billiards; large deviations; pointwise ergodic theorem; rates of convergence in ergodic theorems

Авторы

Kachurovskii A.G. ¹ , Podvigin I.V. ²

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University

For bounded averaged functions, we prove the equivalence of the power-law and exponential rates of convergence in the Birkhoff individual ergodic theorem with the same asymptotics of the probability of large deviations in this theorem.

Kachurovskii A.G. , Podvigin I.V.
Large deviations and the rate of convergence in the Birkhoff ergodic theorem
Mathematical Notes. 2013. V.94. N3-4. P.524-531. DOI: 10.1134/s0001434613090228 WOS Scopus РИНЦ OpenAlex

Качуровский А.Г. , Подвигин И.В.
Большие уклонения и скорости сходимости в эргодической теореме Биркгофа
Математические заметки. 2013. Т.94. №4. С.569-577. DOI: 10.4213/mzm9352 РИНЦ MathNet OpenAlex

Web of science:	WOS:000326052400022
Scopus:	2-s2.0-84886542166
РИНЦ:	21885420
OpenAlex:	W2133747049

БД	Цитирований
Web of science	7
Scopus	11
РИНЦ	10
OpenAlex	11