Constants in the estimates of the convergence rate in the Birkhoff ergodic theorem with continuous time | Sciact - Система учета научной деятельности ИМ СО РАН

Constants in the estimates of the convergence rate in the Birkhoff ergodic theorem with continuous time Научная публикация

Журнал

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

Вых. Данные

Год: 2012, Том: 53, Номер: 5, Страницы: 882-888 Страниц : 7 DOI: 10.1134/s0037446612050138

Ключевые слова

von Neumann’s ergodic theorem, Birkhoff’s ergodic theorem, convergence rate of ergodic averages, spectral measure, correlation function, wide-sense stationary stochastic process

Авторы

Sedalishchev V.V. ¹

Организации

1	Novosibirsk state university

For the case of continuous time, we prove inequalities that make it possible, in the presence of power-type estimates of the convergence rate in the von Neumann ergodic theorem, to obtain estimates for the convergence rate in the Birkhoff ergodic theorem. These results have obvious exact analogs in the class of wide-sense stationary stochastic processes.

Sedalishchev V.V.
Constants in the estimates of the convergence rate in the Birkhoff ergodic theorem with continuous time
Siberian Mathematical Journal. 2012. V.53. N5. P.882-888. DOI: 10.1134/s0037446612050138 WOS Scopus OpenAlex

Поступила в редакцию:	30 дек. 2011 г.
Опубликована в печати:	27 дек. 2012 г.
Опубликована online:	27 дек. 2012 г.

≡ Web of science:	WOS:000310374900013
≡ Scopus:	2-s2.0-84868123243
≡ OpenAlex:	W1966496578