The Hausdorff dimension of the nondifferentiability set of a nonsymmetric Cantor function

DOI10.1216/RMJM/1030539621zbMath1029.28006OpenAlexW2079464963MaRDI QIDQ1414952

Jerry Morris

Publication date: 3 December 2003

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

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol32-1/CONT32-1/CONT32-1.html

zbMATH Keywords

Cantor setHausdorff dimensionCantor functionCantor ternary setnondifferentiability set

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (3)

Hölder-differentiability of Gibbs distribution functions ⋮ Hölder differentiability of self-conformal devil's staircases ⋮ The Cantor function

Cites Work

• The Hausdorff Dimension of the Nondifferentiability Set of the Cantor Function is [ ln(2)/ln(3) 2]
• Hausdorff dimension of sets of non-differentiability points of Cantor functions
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