Fractal dimensions of graph of Weierstrass-type function and local Hölder exponent spectra

DOI10.1088/1361-6544/AA8D7AzbMath1383.37023arXiv1603.03954OpenAlexW2963228097MaRDI QIDQ4600989

Atsuya Otani

Publication date: 18 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03954

zbMATH Keywords

Weierstrass functionHausdorff dimensionlocal Hölder exponent

Mathematics Subject Classification ID

Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)

Related Items (3)

Weierstrass functions with random phases ⋮ Pointwise regularity of parameterized affine zipper fractal curves ⋮ Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line

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