Local limit theorem in deterministic systems

Zemer Kosloff; Dalibor Volny

doi:10.1214/21-AIHP1169

Local limit theorem in deterministic systems

Zemer Kosloff
, Dalibor Volny

Einstein Institute of Mathematics

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

6 Scopus citations

Abstract

We show that for every ergodic and aperiodic probability preserving system, there exists an integer valued square integrable function whose Birkhoff sums process satisfies the lattice local limit theorem.

Original language	English
Pages (from-to)	548-566
Number of pages	19
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	58
Issue number	1
DOIs	https://doi.org/10.1214/21-AIHP1169
State	Published - Feb 2021

Bibliographical note

Publisher Copyright:
© Association des Publications de l’Institut Henri Poincaré, 2022.

Keywords

Dynamical systems
Local Central Theorem
Zero entropy stationary process

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10.1214/21-AIHP1169

Cite this

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author = "Zemer Kosloff and Dalibor Volny",

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KW - Dynamical systems

KW - Local Central Theorem

KW - Zero entropy stationary process

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Local limit theorem in deterministic systems

Abstract

Bibliographical note

Keywords

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