Rates of recurrence for free semigroup actions

DOI10.1007/s10883-020-09486-2zbMath1476.37020OpenAlexW3010795964MaRDI QIDQ2041844

Yali Liang, Cao Zhao

Publication date: 26 July 2021

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-020-09486-2

zbMATH Keywords

recurrenceHausdorff measurefree semigroup actions

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Representation of semigroups; actions of semigroups on sets (20M30) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (1)

Recurrent sets and shadowing for finitely generated semigroup actions on metric spaces

Cites Work

• Recurrence for random dynamical systems
• Quantitative recurrence results
• Specification and thermodynamical properties of semigroup actions
• Skew products, quantitative recurrence, shrinking targets and decay of correlations
• AN INTRODUCTION TO QUANTITATIVE POINCARÉ RECURRENCE IN DYNAMICAL SYSTEMS
• Quantitative recurrence for free semigroup actions
• The distribution of the short-return function
• Recurrence in mean for group actions
• Entry and return times distribution
• Quantitative recurrence properties for group actions
• Hausdorff dimension of measures via Poincaré recurrence
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