On strong forms of the Borel-Cantelli lemma and intermittent interval maps

DOI10.1016/j.jmaa.2021.125425zbMath1468.60039arXiv2101.05586OpenAlexW3166283741WikidataQ124812860 ScholiaQ124812860MaRDI QIDQ2050885

Andrei N. Frolov

Publication date: 1 September 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05586

zbMATH Keywords

Borel-Cantelli lemmaintermittent interval mapsnon-uniformly hyperbolic dynamical systems

Mathematics Subject Classification ID

Strong limit theorems (60F15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

On the strong form of the Borel-Cantelli lemma ⋮ On the strong forms of the Borel-Cantelli lemma and dynamical systems with polynomial decay of correlations

Cites Work

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• A Borel–Cantelli lemma for nonuniformly expanding dynamical systems
• A note on Borel–Cantelli lemmas for non-uniformly hyperbolic dynamical systems
• On lower and upper bounds for probabilities of unions and the Borel-Cantelli lemma
• A Borel–Cantelli lemma for intermittent interval maps
• Metrical Theorems on Fractional Parts of Sequences
• On the Application of the Borel-Cantelli Lemma
• A note on the Borel-Cantelli lemma

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