Poincaré recurrence for observations

DOI10.1090/S0002-9947-2010-05078-0zbMath1211.37024arXiv0807.0970OpenAlexW2022261823MaRDI QIDQ3056570

Jérôme Rousseau, Benoît Saussol

Publication date: 12 November 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.0970

zbMATH Keywords

Poincaré recurrencemeasure preserving systemLipschitz observable

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dimension theory of smooth dynamical systems (37C45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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• On mixing properties of compact group extensions of hyperbolic systems
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• Recurrence rate in rapidly mixing dynamical systems
• De nouvelles perspectives sur le théorème de Morse–Sard
• Learning about Reality from Observation
• Hausdorff dimension of measures via Poincaré recurrence

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