REMARKS ON SELF-AFFINE FRACTALS WITH POLYTOPE CONVEX HULLS

DOI10.1142/S0218348X1000510XzbMath1209.28014arXiv1504.07396MaRDI QIDQ3084731

Ibrahim Kirat, Ilker Kocyigit

Publication date: 25 March 2011

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07396

zbMATH Keywords

joint spectral radiusconvex polytopesself-affine tiles and attractors

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (4)

Homomorphisms between multidimensional constant-shape substitutions ⋮ CONVEX HULLS OF SIERPIŃSKI RELATIVES ⋮ The Hausdorff dimension of integral self-affine sets through fractal perturbations ⋮ ON THE EXACT CONVEX HULL OF IFS FRACTALS

Cites Work

• The finiteness conjecture for the generalized spectral radius of a set of matrices
• Self-affine sets and graph-directed systems
• Joint spectral radius, operator semigroups, and a problem of W. Wojtyński
• 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
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Classification of Self-Affine Lattice Tilings
• On the Connectedness of Self-Affine Tiles
• On the boundary connectedness of connected tiles
• Integral Self-Affine Tiles in ℝ ⁿ I. Standard and Nonstandard Digit Sets
• Canonical self-affine tilings by iterated function systems
• Topological properties of two-dimensional number systems
• Disk-like self-affine tiles in \(\mathbb{R}^2\)

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