Recurrence spectrum in smooth dynamical systems

DOI10.1088/0951-7715/16/6/306zbMath1040.37011arXivmath/0303363OpenAlexW3100239820MaRDI QIDQ4444055

Jun Wu, Benoît Saussol

Publication date: 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303363

zbMATH Keywords

multifractal spectrumexpanding mapsmooth dynamical systems

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (13)

Zero-one law of Hausdorff dimensions of the recurrent sets ⋮ The multifractal spectra for the recurrence rates of beta-transformations ⋮ Quantitative Poincaré recurrence in continued fraction dynamical system ⋮ Generalized dimensions, large deviations and the distribution of rare events ⋮ Dimensions of recurrent sets in \(\beta\)-symbolic dynamics ⋮ The spectrum of Poincaré recurrence ⋮ Unnamed Item ⋮ On the recurrence rates of continued fractions ⋮ On the hitting depth in the dynamical system of continued fractions ⋮ Large deviation for return times ⋮ AN INTRODUCTION TO QUANTITATIVE POINCARÉ RECURRENCE IN DYNAMICAL SYSTEMS ⋮ Recurrences determine the dynamics ⋮ TOPOLOGICAL PRESSURE OF POINCARÉ RECURRENCE SET

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