Sciact
  • EN
  • RU

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

Conference 2021 Chapel Hill Ergodic Theory Workshop: Global Online Edition
21 Jun - 6 Jul 2021 , Chapell Hill
Source Ergodic Theory and Dynamical Systems Proceedings of the Workshops University of North Carolina at Chapel Hill 2021
Compilation, DeGruyter. 2024. 148 c. ISBN 9783111435039.
Output data Year: 2024, Pages: 117-125 Pages count : 9 DOI: 10.1515/9783111435503-005
Tags Rates of convergence in ergodic theorems, optimal estimates
Authors Podvigin Ivan 1
Affiliations
1 Sobolev Institute of Mathematics

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0004

Abstract: 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.
Cite: Podvigin I.
On the pointwise rate of convergence in the Birkhoff ergodic theorem: recent results
In compilation Ergodic Theory and Dynamical Systems Proceedings of the Workshops University of North Carolina at Chapel Hill 2021. – DeGruyter., 2024. – Т.De Gruyter Proceedings in Mathematics. – C.117-125. – ISBN 9783111435039. DOI: 10.1515/9783111435503-005 WOS OpenAlex
Dates:
Published print: Jun 4, 2024
Published online: Jun 4, 2024
Identifiers:
Web of science: WOS:001329997500005
OpenAlex: W4398222159
Citing:
DB Citing
OpenAlex 1
Web of science 1
Altmetrics: