Zero-one law of Hausdorff dimensions of the recurrent sets

DOI10.3934/dcds.2016041zbMath1350.28006arXiv1510.00495OpenAlexW2237115736MaRDI QIDQ321537

Mohammad Hasan, M. Dambrine

Publication date: 14 October 2016

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

Full work available at URL: https://arxiv.org/abs/1510.00495

zbMATH Keywords

Hausdorff dimensionrecurrencesymbolic dynamicszero-one lawfirst return time

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (8)

The upper capacity topological entropy of free semigroup actions for certain non-compact sets ⋮ A remark on exceptional sets in Erdös-Rényi limit theorem ⋮ Hausdorff dimensions of recurrent and shrinking target sets under Lipschitz functions for expanding Markov maps ⋮ On exceptional sets in Erdős-Rényi limit theorem ⋮ Dimensions of recurrent sets in \(\beta\)-symbolic dynamics ⋮ Unnamed Item ⋮ On exceptional sets in Erdős-Rényi limit theorem revisited ⋮ On the recurrence rates of continued fractions

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