Dimension estimates for certain sets of infinite complex continued fractions

DOI10.1155/2013/754134zbMath1268.11104OpenAlexW2054104090WikidataQ59015702 ScholiaQ59015702MaRDI QIDQ355788

Jörg Neunhäuserer

Publication date: 25 July 2013

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/754134

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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• The Hausdorff dimensions of some continued fraction Cantor sets
• On the Hausdorff dimension of a set of complex continued fractions
• A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets
• Computing the dimension of dynamically defined sets: E_2 and bounded continued fractions
• Hausdorff dimensions of Cantor sets.
• Calculating Hausdorff dimension of Julia sets and Kleinian limit sets
• Dimensions and Measures in Infinite Iterated Function Systems

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