The box dimensions of exceptional self-affine sets in \(\mathbb{R}^3\)

DOI10.1016/J.AIM.2021.107734zbMath1469.28005arXiv1907.07593OpenAlexW3158337556MaRDI QIDQ2032922

Natalia Jurga, Jonathan M. Fraser

Publication date: 14 June 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07593

zbMATH Keywords

box dimensionsingular valuesself-affine set

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

The Lq$L^q$ spectrum of self‐affine measures on sponges

Cites Work

• Unnamed Item
• Unnamed Item
• Quasi-Assouad dimension of fractals
• An inequality for the matrix pressure function and applications
• Non-conformal repellers and the continuity of pressure for matrix cocycles
• Hausdorff dimension of the limit sets of some planar geometric constructions
• Continuity of subadditive pressure for self-affine sets
• The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result
• A class of self-affine sets and self-affine measures
• On the Assouad dimension of self-similar sets with overlaps
• Hausdorff dimension of planar self-affine sets and measures
• On the packing dimension of box-like self-affine sets in the plane
• The Hausdorff dimension of general Sierpiński carpets
• The Hausdorff dimension of self-affine fractals
• The dimension of self-affine fractals II
• Measure and dimension for some fractal families
• Assouad-type spectra for some fractal families
• Measures of full dimension on affine-invariant sets
• The Assouad dimensions of projections of planar sets

This page was built for publication: The box dimensions of exceptional self-affine sets in \(\mathbb{R}^3\)