Multidimensional self-affine sets: non-empty interior and the set of uniqueness

DOI10.4064/sm8359-1-2016zbMath1334.28020arXiv1506.08714OpenAlexW3100061605MaRDI QIDQ2787136

Kevin G. Hare, Nikita Sidorov

Publication date: 24 February 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08714

zbMATH Keywords

Hausdorff dimensioniterated function systemset of uniquenessself-affine set

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80)

Related Items

Connectedness locus for pairs of affine maps and zeros of power series

Uses Software

• MathOverflow

Cites Work

• Unique expansions of real numbers
• Self-affine sets with positive Lebesgue measure
• On a family of self-affine sets: Topology, uniqueness, simultaneous expansions
• Two-dimensional self-affine sets with interior points, and the set of uniqueness
• Unique Developments in Non-Integer Bases
• Zeros of {-1, 0, 1} Power Series and Connectedness Loci for Self-Affine Sets
• Unique representations of real numbers in non-integer bases