Dimension-theoretical results for a family of generalized continued fractions

DOI10.4064/ba8157-7-2018zbMath1450.11070OpenAlexW2886671111WikidataQ129435739 ScholiaQ129435739MaRDI QIDQ4614161

Jörg Neunhäuserer

Publication date: 30 January 2019

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba8157-7-2018

zbMATH Keywords

Hausdorff dimensiongeneralized continued fractionsbounded coefficientsJarník's theorem

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Iteration of real functions in one variable (26A18) Metric theory of continued fractions (11K50)

Cites Work

• The Hausdorff dimensions of some continued fraction Cantor sets
• A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets
• A Gauss-Kuzmin-type problem for a family of continued fraction expansions
• Computing the dimension of dynamically defined sets: E_2 and bounded continued fractions
• Hausdorff dimensions of Cantor sets.
• Dimensions and Measures in Infinite Iterated Function Systems
• Generalized Continued Logarithms and Related Continued Fractions
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