First return times: multifractal spectra and divergence points

DOI10.3934/dcds.2004.10.635zbMath1060.37015OpenAlexW2007755211MaRDI QIDQ1433443

D. Massart

Publication date: 18 June 2004

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

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.635

zbMATH Keywords

recurrencemultifractalsfirst return timedivergence pointsself--conformal IFS

Mathematics Subject Classification ID

Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (6)

Zero-one law of Hausdorff dimensions of the recurrent sets ⋮ The thermodynamic approach to multifractal analysis ⋮ The multifractal spectra for the recurrence rates of beta-transformations ⋮ Generalized dimensions, large deviations and the distribution of rare events ⋮ Dimensions of recurrent sets in \(\beta\)-symbolic dynamics ⋮ The global statistics of return times: Return time dimensions versus generalized measure dimensions

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