Moving recurrent properties for the doubling map on the unit interval

DOI10.3934/dcds.2016.36.2969zbMath1408.37025OpenAlexW2524646588MaRDI QIDQ255891

Chao Ma, Jun Wu, Yuan-Hong Chen

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.2969

zbMATH Keywords

Hausdorff dimension\(k\)-fold mixing systemmoving recurrent

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Dynamical systems involving maps of the interval (37E05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

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• Some new examples of recurrence and non-recurrence sets for products of rotations on the unit circle
• Non-recurrence sets for weakly mixing linear dynamical systems
• Ergodic Theory
• Hausdorff dimension of measures via Poincaré recurrence

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