The Hausdorff Dimension of the Nondifferentiability Set of the Cantor Function is [ ln(2)/ln(3) ] 2

DOI10.2307/2159830zbMath0784.28002OpenAlexW4251550555WikidataQ56225912 ScholiaQ56225912MaRDI QIDQ3141289

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Publication date: 13 March 1994

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159830

zbMATH Keywords

Hausdorff dimensionCantor setsCantor functionnondifferentiability set

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Hausdorff and packing measures (28A78)

Related Items (11)

Hölder-differentiability of Gibbs distribution functions ⋮ Differentiability of a two-parameter family of self-affine functions ⋮ The Hausdorff dimension of the nondifferentiability set of a nonsymmetric Cantor function ⋮ Stability and perturbations of countable Markov maps ⋮ Derivatives of slippery Devil's staircases ⋮ Cantor type functions in non-integer bases ⋮ Fractal analysis for sets of non-differentiability of Minkowski's question mark function ⋮ The Cantor function ⋮ Monsters in Calculus ⋮ Hausdorff dimension of sets of non-differentiability points of Cantor functions ⋮ Hausdorff dimension of the nondifferentiability set of a convex function

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