The Hausdorff dimension of integral self-affine sets through fractal perturbations
From MaRDI portal
Publication:2287210
DOI10.1016/j.jmaa.2019.06.062zbMath1437.28012OpenAlexW2952771922WikidataQ127679375 ScholiaQ127679375MaRDI QIDQ2287210
Publication date: 20 January 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.06.062
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
- Self-affine sets and graph-directed systems
- Classification of integral expanding matrices and self-affine tiles
- Hausdorff dimensions of sofic affine-invariant sets
- Self-affine tiles in \(\mathbb{R}^n\)
- A new class of exceptional self-affine fractals
- On the Dimension of Self-Affine Fractals
- REMARKS ON SELF-AFFINE FRACTALS WITH POLYTOPE CONVEX HULLS
- The Hausdorff dimension of general Sierpiński carpets
- Hausdorff Dimension in Graph Directed Constructions
- On a generalized dimension of self‐affine fractals
- Disk-like tiles and self-affine curves with noncollinear digits
- The Hausdorff dimension of self-affine fractals
- Self-Similar Sets 5. Integer Matrices and Fractal Tilings of ℝ n
- The dimension of self-affine fractals II
- On the Connectedness of Self-Affine Tiles
- Integral Self-Affine Tiles in ℝ n I. Standard and Nonstandard Digit Sets
- Self-similar lattice tilings
- Disk-like self-affine tiles in \(\mathbb{R}^2\)