On the Hausdorff dimension faithfulness of continued fraction expansion

DOI10.1016/j.crma.2016.07.009zbMath1344.11054OpenAlexW2485435234MaRDI QIDQ309751

Jia Liu, Zhen-Liang Zhang

Publication date: 7 September 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.07.009

zbMATH Keywords

Hausdorff dimensionunit intervalcontinued fraction expansion

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory of continued fractions (11K50)

Cites Work

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• Fractal properties of singular probability distributions with independent \(Q^{\ast}\)-digits
• Fractal probability distributions and transformations preserving the HausdorffBesicovitch dimension
• On the Hausdorff dimension faithfulness and the Cantor series expansion
• On new fractal phenomena connected with infinite linear IFS