Dimension of the Graphs of the Weierstrass-Type Functions

DOI10.1007/978-3-319-18660-3_5zbMath1338.28006OpenAlexW2477092054MaRDI QIDQ2808814

Krzysztof Barański

Publication date: 25 May 2016

Published in: Fractal Geometry and Stochastics V (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18660-3_5

zbMATH Keywords

Weierstrass functionHausdorff dimensionfractals

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Fractals (28A80) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (12)

Polynomial approximation of self-similar measures and the spectrum of the transfer operator ⋮ Approximation of rough functions ⋮ Some remarks on the fractal structure of irrigation balls ⋮ Weak tangent and level sets of Takagi functions ⋮ Resolution of 2 Dimensional Reconstruction of Functions with Nonsmooth Edges from Discrete Radon Transform Data ⋮ Unnamed Item ⋮ On the $p$th variation of a class of fractal functions ⋮ Oscillation of functions in the Hölder class ⋮ A dichotomy for the Weierstrass-type functions ⋮ Dimension theory of some non-Markovian repellers. II: Dynamically defined function graphs ⋮ Fractal and Hausdorff dimensions for systems of iterative functional equations ⋮ Hausdorff and Box dimensions of continuous functions and lineability

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