Erdos-Rényi law of large numbers in the averaging setup

Yuri Kifer

doi:10.1142/S0219493718500181

Erdos-Rényi law of large numbers in the averaging setup

Yuri Kifer^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We extend the Erdos-Rényi law of large numbers to the averaging setup both in discrete and continuous time cases. We consider both stochastic processes and dynamical systems as fast motions whenever they are fast mixing and satisfy large deviations estimates. In the continuous time case we consider flows with large deviations estimates which allow a suspension representation and it turns out that fast mixing of corresponding base transformations suffices for our results.

Original language	English
Article number	1850018
Journal	Stochastics and Dynamics
Volume	18
Issue number	3
DOIs	https://doi.org/10.1142/S0219493718500181
State	Published - 1 Jun 2018

Bibliographical note

Publisher Copyright:
© 2018 World Scientific Publishing Company.

Keywords

Laws of large numbers
Markov processes
averaging
hyperbolic diffeomorphisms and flows
large deviations

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10.1142/S0219493718500181

Cite this

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KW - averaging

KW - hyperbolic diffeomorphisms and flows

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Erdos-Rényi law of large numbers in the averaging setup

Abstract

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Keywords

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