On the pointwise rate of convergence in the Birkhoff ergodic theorem: recent results

被引：1

作者：

Podvigin, Ivan ^{[1
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2024年

关键词：

Rates of convergence in ergodic theorems; optimal estimates; LARGE NUMBERS; AVERAGES; SUMS;

D O I：

10.1515/9783111435503-005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper presents recent results on pointwise rates of ergodic averages. In particular, we discuss maximum possible rate, lower bounds for supremums, asymptotics on subsequences, as well as the existence of optimal and near optimal estimates.

引用

页码：117 / 125

页数：9

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