THE DISTAL AND ASYMPTOTIC SETS FOR CONTINUED FRACTIONS

DOI10.1142/S0218348X19501391zbMath1434.11154OpenAlexW2980727287WikidataQ127020125 ScholiaQ127020125MaRDI QIDQ5110535

Weibin Liu, Shuai Ling Wang

Publication date: 20 May 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x19501391

zbMATH Keywords

Hausdorff dimensioncontinued fractionsdistal set

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions (11A55)

Related Items (2)

Chaotic sets and Hausdorff dimension for Lüroth expansions ⋮ BADLY APPROXIMABLE AND NONRECURRENT SETS FOR EXPANDING MARKOV MAPS

Cites Work

• On Schmidt's game and the set of points with non-dense orbits under a class of expanding maps
• Chaotic and topological properties of continued fractions
• Hausdorff dimension of certain sets arising in continued fraction expansions
• On the distal and asymptotic sets for \(\beta\)-transformations
• Chaotic and topological properties of \(\beta \)-transformations
• A remark on the growth of the denominators of convergents
• The Hausdorff dimension of chaotic sets for interval self-maps
• Chaos for subshifts of finite type
• Some metrical theorems in number theory
• Some metrical theorems in number theory. II. - Errata
• Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems
• METRIC AND DIMENSIONAL PROPERTIES OF THE BADLY APPROXIMABLE SET FOR BETA-TRANSFORMATIONS
• The shrinking target problem in the dynamical system of continued fractions
• On the Lebesgue measure of Li-Yorke pairs for interval maps
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