Dimension drop of connected part of slicing self-affine sponges
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Publication:2069762
DOI10.1016/j.jmaa.2021.125903zbMath1489.28012arXiv2110.09711OpenAlexW3206211557MaRDI QIDQ2069762
Publication date: 21 January 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.09711
Related Items (4)
A DICHOTOMY OF STRONG OPEN SET CONDITION OF SELF-CONFORMAL SETS ⋮ Relations between topological and metrical properties of self-affine Sierpiński sponges ⋮ Distribution of \(\delta \)-connected components of self-affine sponges of Lalley-Gatzouras type ⋮ On the connected components of IFS fractals
Cites Work
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- Hausdorff dimension of the limit sets of some planar geometric constructions
- The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result
- A class of self-affine sets and self-affine measures
- The singularity spectrum for general Sierpiński carpets
- Hausdorff dimensions of sofic affine-invariant sets
- A dimension drop phenomenon of fractal cubes
- A new fractal dimension: the topological Hausdorff dimension
- Assouad dimension of self-affine carpets
- Gap sequences of McMullen sets
- Assouad type dimensions for self-affine sponges
- Multifractal analysis for Bedford–McMullen carpets
- The Hausdorff dimension of general Sierpiński carpets
- SYMBOLIC AND GEOMETRIC LOCAL DIMENSIONS OF SELF-AFFINE MULTIFRACTAL SIERPINSKI SPONGES IN ℝd
- Hausdorff Dimension in Graph Directed Constructions
- Lectures on Polytopes
- Structure of equilibrium states on self-affine sets and strict monotonicity of affinity dimension
- Measures of full dimension on affine-invariant sets
- A LOWER BOUND OF TOPOLOGICAL HAUSDORFF DIMENSION OF FRACTAL SQUARES
- Gibbs measures on self-affine Sierpiński carpets and their singularity spectrum
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