The infinite derivatives of Okamoto's self-affine functions: an application of \(\beta\)-expansions
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Publication:294287
DOI10.4171/JFG/28zbMath1350.26006arXiv1502.03374OpenAlexW2962921502MaRDI QIDQ294287
Publication date: 16 June 2016
Published in: Journal of Fractal Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.03374
Singular functions, Cantor functions, functions with other special properties (26A30) Radix representation; digital problems (11A63) Hausdorff and packing measures (28A78) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)
Related Items (7)
Differentiability of a two-parameter family of self-affine functions ⋮ The partial derivative of Okamoto's functions with respect to the parameter ⋮ Box-counting dimension and differentiability of box-like statistically self-affine functions ⋮ Differentiability and Hölder spectra of a class of self-affine functions ⋮ On univoque and strongly univoque sets ⋮ On the continuity of the Hausdorff dimension of the univoque set ⋮ Relative bifurcation sets and the local dimension of univoque bases
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