Local limit theorem in deterministic systems

Zemer Kosloff, Dalibor Volny

Research output: Contribution to journalArticlepeer-review

3 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 languageAmerican English
Pages (from-to)548-566
Number of pages19
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume58
Issue number1
DOIs
StatePublished - 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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