Recurrence of transformations with absolutely continuous invariant measures.

DOI10.1016/S0096-3003(01)00068-6zbMath1034.37002OpenAlexW2039315487MaRDI QIDQ1855714

Geon Ho Choe

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00068-6

zbMATH Keywords

entropyHausdorff measurecontinued fractionsLyapunov exponentinvariant densityfirst return time

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25)

Related Items (1)

Estimating the Hausdorff measure using recurrence

Cites Work

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• Metrical theory for a class of continued fraction transformations and their natural extensions
• Ein Gauss-Kusmin-Levy-Satz für Kettenbrüche nach nächsten Ganzen
• Quantitative recurrence results
• Generalized continued fractions.
• Mischung und Ergodizität bei Kettenbrüchen nach nächsten Ganzen.
• On the notion of recurrence in discrete stochastic processes

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