Recurrence for measurable semigroup actions

DOI10.3934/dcds.2020335zbMath1459.28014arXiv2008.05292OpenAlexW3093394932MaRDI QIDQ1995562

Michael L. Blank

Publication date: 24 February 2021

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

Full work available at URL: https://arxiv.org/abs/2008.05292

zbMATH Keywords

Markov chainssemigroupsinvariant measuresPoincaré recurrencesquantitative recurrence

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) General groups of measure-preserving transformations (28D15) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Cites Work

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• Markov chains and stochastic stability
• Recurrent Markov chains
• Ergodic theorems. With a supplement by Antoine Brunel
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Recurrence times and rates of mixing
• Quantitative recurrence results
• Under-recurrence in the Khintchine recurrence theorem
• Quantitative recurrence for free semigroup actions
• Topological and metric recurrence for general Markov chains
• What does a generic Markov operator look like?
• Quantitative recurrence properties for group actions
• Invariant measures

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