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zbMATH Open
Article . 2021
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2018
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Randomly perturbed ergodic averages

Authors: JaeYong Choi; Karin Reinhold-Larsson;

Randomly perturbed ergodic averages

Abstract

Convergence properties of random ergodic averages have been extensively studied in the literature. In these notes, we exploit a uniform estimate by Cohen \& Cuny who showed convergence of a series along randomly perturbed times for functions in $L^2$ with $\int \max(1,\log (1+|t|)) dμ_f

Keywords

Dynamical systems and their relations with probability theory and stochastic processes, Ergodic theorems, spectral theory, Markov operators, random ergodic averages, Probability (math.PR), FOS: Mathematics, universal convergence, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Measure-preserving transformations, Mathematics - Probability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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gold