Hausdorff dimension of the graphs of the classical Weierstrass functions
From MaRDI portal
Publication:1650174
DOI10.1007/S00209-017-1949-1zbMath1400.28019arXiv1505.03986OpenAlexW2963781531MaRDI QIDQ1650174
Publication date: 2 July 2018
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.03986
Related Items (25)
A REVIEW OF FRACTAL FUNCTIONS AND APPLICATIONS ⋮ FRACTAL DIMENSION OF MULTIVARIATE α-FRACTAL FUNCTIONS AND APPROXIMATION ASPECTS ⋮ APPROXIMATION WITH FRACTAL FUNCTIONS BY FRACTAL DIMENSION ⋮ On the abelian complexity of the Rudin-Shapiro sequence ⋮ Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions ⋮ OSCILLATORY PROPERTY AND DIMENSIONS OF RADEMACHER SERIES ⋮ FRACTAL DIMENSION VARIATION OF CONTINUOUS FUNCTIONS UNDER CERTAIN OPERATIONS ⋮ A dichotomy for the dimension of SRB measure ⋮ Box-counting dimension and differentiability of box-like statistically self-affine functions ⋮ Chaotically driven sigmoidal maps ⋮ Unnamed Item ⋮ A geometric based connection between fractional calculus and fractal functions ⋮ Box dimension of the graphs of the generalized Weierstrass-type functions ⋮ LIMIT BEHAVIOR OF THE QUASI-LINEAR DISCRETE FUNCTIONS ⋮ Exact dimension of Furstenberg measures ⋮ Dimension preserving approximation ⋮ Hyperbolic graphs: Critical regularity and box dimension ⋮ On the Hausdorff dimension of Riemann’s non-differentiable function ⋮ A dichotomy for the Weierstrass-type functions ⋮ Bivariate functions of bounded variation: fractal dimension and fractional integral ⋮ On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket ⋮ Dimension theory of some non-Markovian repellers. II: Dynamically defined function graphs ⋮ Analysis of fractal dimension of mixed Riemann-Liouville integral ⋮ On bivariate fractal approximation ⋮ Hausdorff and Box dimensions of continuous functions and lineability
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the dimension of the graph of the classical Weierstrass function
- A simpler proof for the dimension of the graph of the classical Weierstrass function
- On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
- Absolute continuity of Bernoulli convolutions, a simple proof
- The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
- On the topology of solenoidal attractors of the cylinder
- Fat solenoidal attractors
- The Lyapunov dimension of a nowhere differentiable attracting torus
- The packing measure of the graphs and level sets of certain continuous functions
- Fractal Dimensions and Singularities of the Weierstrass Type Functions
- Sets of Fractional Dimensions (V): on Dimensional Numbers of Some Continuous Curves
- On the Smoothness Properties of a Family of Bernoulli Convolutions
This page was built for publication: Hausdorff dimension of the graphs of the classical Weierstrass functions
