The Strong Borel–Cantelli Property in Conventional and Nonconventional Setups

DOI10.1007/978-3-030-74863-0_7zbMath1479.60073arXiv2004.02268OpenAlexW3014677263MaRDI QIDQ5016440

Yuri Kifer

Publication date: 13 December 2021

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02268

zbMATH Keywords

strong Borel-Cantelli property

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Limit theorems in probability theory (60F99)

Cites Work

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• Dimension and hitting time in rapidly mixing systems
• Some metrical theorems in number theory
• A Borel–Cantelli lemma for nonuniformly expanding dynamical systems
• Mixing Properties and Central Limit Theorem for a Class of Non-Identical Piecewise Monotonic C ² - Transformations
• A note on Borel–Cantelli lemmas for non-uniformly hyperbolic dynamical systems
• Metrical Theorems on Fractional Parts of Sequences
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Dynamical Borel-Cantelli lemmas for Gibbs measures

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