On the hitting depth in the dynamical system of continued fractions

DOI10.1016/J.CHAOS.2014.09.003zbMath1351.37023OpenAlexW1978776511MaRDI QIDQ728111

Li Peng

Publication date: 19 December 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2014.09.003

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Symbolic dynamics (37B10)

Related Items (1)

Best approximation of orbits in iterated function systems

Cites Work

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• Continued fraction and decimal expansions of an irrational number
• Long hitting time, slow decay of correlations and arithmetical properties
• Recurrence, dimensions, and Lyapunov exponents.
• Thermodynamic formalism and multifractal analysis of conformal infinite iterated function systems
• Dimension via waiting time and recurrence
• The dynamical Borel-Cantelli Lemma and the waiting time problems
• Dimension and hitting time in rapidly mixing systems
• Recurrence rate in rapidly mixing dynamical systems
• The Hausdorff dimension of recurrent sets in symbolic spaces
• The first return time properties of an irrational rotation
• The shrinking target property of irrational rotations
• On the fractional dimension of sets of continued fractions
• Symbolic dynamics and Markov partitions
• Recurrence spectrum in smooth dynamical systems
• Product structure of Poincaré recurrence
• Hausdorff dimension of measures via Poincaré recurrence

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