On the Hausdorff dimension of fractals given by certain expansions of real numbers

DOI10.1007/s00013-011-0320-8zbMath1260.11052OpenAlexW2003908626MaRDI QIDQ652232

Jörg Neunhäuserer

Publication date: 14 December 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0320-8

zbMATH Keywords

Hausdorff dimensionexpansions into series of exponentials

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)

Related Items (1)

On the universality of Somos' constant

Cites Work

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• On the sum of digits of real numbers represented in the dyadic system. (On sets of fractional dimensions II.)
• Multifractal analysis of Lyapunov exponent for continued fraction and Manneville-Pomeau transformations and applications to diophantine approximation
• Computing the dimension of dynamically defined sets: E_2 and bounded continued fractions
• Infinite Iterated Function Systems
• Dimensions and Measures in Infinite Iterated Function Systems
• THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES

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