Dynamical Borel-Cantelli lemmas

DOI10.3934/dcds.2020339zbMath1472.37009OpenAlexW3092911088MaRDI QIDQ1995567

Viktoria Xing

Publication date: 24 February 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020339

zbMATH Keywords

dynamical systemBorel-Cantelli lemmaGibbs-Markov systemLipschitz observablesstrongly Borel-Cantelli sequence

Mathematics Subject Classification ID

Strong limit theorems (60F15) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (1)

On eventually always hitting points

Cites Work

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• Logarithm laws for flows on homogeneous spaces
• Some metrical theorems in number theory
• On the frequency of small fractional parts in certain real sequences. III.
• A Metrical Theorem in Diophantine Approximation
• A Borel–Cantelli lemma for nonuniformly expanding dynamical systems
• A note on Borel–Cantelli lemmas for non-uniformly hyperbolic dynamical systems
• Metrical Theorems on Fractional Parts of Sequences
• Dynamical Borel-Cantelli lemmas for Gibbs measures

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