Disk-like tiles and self-affine curves with noncollinear digits
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Publication:3584816
DOI10.1090/S0025-5718-09-02301-1zbMath1201.37028MaRDI QIDQ3584816
Publication date: 30 August 2010
Published in: Mathematics of Computation (Search for Journal in Brave)
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
Related Items (8)
Boundaries of disk-like self-affine tiles ⋮ A characterization of connected self-affine fractals arising from collinear digits ⋮ Topological properties of self-similar fractals with one parameter ⋮ Self-affine tiles generated by a finite number of matrices ⋮ Connectedness of planar self-affine sets associated with non-consecutive collinear digit sets ⋮ On the connectedness of planar self-affine sets ⋮ The Hausdorff dimension of integral self-affine sets through fractal perturbations ⋮ Connectedness of planar self-affine sets associated with non-collinear digit sets
Cites Work
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- Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
- Boundary local connectivity of tiles in \(\mathbb R^2\)
- On disk-like self-affine tiles arising from polyominoes
- Jordan surfaces in simply connected digital spaces.
- Topology of connected self-similar tiles in the plane with disconnected interiors
- Expanding polynomials and connectedness of self-affine tiles
- Self-affine tiles in \(\mathbb{R}^n\)
- Disklikeness of planar self-affine tiles
- On the structure of self-similar sets
- Classification of Self-Affine Lattice Tilings
- On the Connectedness of Self-Affine Tiles
- On the boundary connectedness of connected tiles
- A TECHNIQUE IN THE TOPOLOGY OF CONNECTED SELF-SIMILAR TILES
- Connectivity in Digital Pictures
- TOPOLOGICAL STRUCTURE OF SELF-SIMILAR SETS
- Topological properties of two-dimensional number systems
- Self-similar lattice tilings
- Disk-like self-affine tiles in \(\mathbb{R}^2\)
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