The Maximum Pointwise Rate of Convergence in Birkhoff’s Ergodic Theorem

A. G. Kachurovskii; I. V. Podvigin; A. A. Svishchev

doi:10.1007/s10958-021-05354-x

The Maximum Pointwise Rate of Convergence in Birkhoff’s Ergodic Theorem

A. G. Kachurovskii, I. V. Podvigin, A. A. Svishchev

Механико-математический факультет

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

A criterion for the maximum possible pointwise convergence rate in Birkhoff’s ergodic theorem for ergodic semiflows in a Lebesgue space is obtained. It is proved that higher rates of convergence in this theorem are impossible.

Язык оригинала	английский
Страницы (с-по)	119-123
Число страниц	5
Журнал	Journal of Mathematical Sciences (United States)
Том	255
Номер выпуска	2
DOI	https://doi.org/10.1007/s10958-021-05354-x
Состояние	Опубликовано - мая 2021

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1.01 МАТЕМАТИКА

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10.1007/s10958-021-05354-x

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The Maximum Pointwise Rate of Convergence in Birkhoff’s Ergodic Theorem. / Kachurovskii, A. G.; Podvigin, I. V.; Svishchev, A. A.

В: Journal of Mathematical Sciences (United States), Том 255, № 2, 05.2021, стр. 119-123.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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AB - A criterion for the maximum possible pointwise convergence rate in Birkhoff’s ergodic theorem for ergodic semiflows in a Lebesgue space is obtained. It is proved that higher rates of convergence in this theorem are impossible.

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The Maximum Pointwise Rate of Convergence in Birkhoff’s Ergodic Theorem

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