Topological Properties of a Class of Higher-dimensional Self-affine Tiles
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Publication:5242541
DOI10.4153/S0008439519000237zbMath1428.28012OpenAlexW2943621075MaRDI QIDQ5242541
Guotai Deng, Chuntai Liu, Sze-Man Ngai
Publication date: 12 November 2019
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/s0008439519000237
Fractals (28A80) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
Related Items (4)
A class of self-affine tiles in \(\mathbb{R}^3\) that are tame balls revisited ⋮ On the connected components of IFS fractals ⋮ A class of self-affine tiles in \(\mathbb{R}^d\) that are \(d\)-dimensional tame balls ⋮ Every component of a fractal square is a Peano continuum
Cites Work
- Unnamed Item
- The connectedness of some two-dimensional self-affine sets
- Connectedness of planar self-affine sets associated with non-consecutive collinear digit sets
- Connectedness of a class of planar self-affine tiles
- Height reducing property of polynomials and self-affine tiles
- Connectedness of a class of two-dimensional self-affine tiles associated with triangular matrices
- Self-affine manifolds
- Expanding polynomials and connectedness of self-affine tiles
- On the connectedness of self-affine attractors
- Self-affine tiles in \(\mathbb{R}^n\)
- A GLUING LEMMA FOR ITERATED FUNCTION SYSTEMS
- Disklikeness of planar self-affine tiles
- On the structure of self-similar sets
- On the Connectedness of Self-Affine Tiles
- Topological properties of a class of self-affine tiles in $\mathbb {R}^3$
- TOPOLOGICAL STRUCTURE OF SELF-SIMILAR SETS
- Disk-like self-affine tiles in \(\mathbb{R}^2\)
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