On the boundaries of self-similar tiles in $\mathbb {R}^1$

DOI10.1090/S0002-9939-06-08643-6zbMath1112.28007MaRDI QIDQ3419892

Xing-Gang He

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

self-similar setsiterated function spaces

Mathematics Subject Classification ID

Fractals (28A80) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (2)

Lipschitz equivalence of fractal sets in \(\mathbb R\) ⋮ The self-similarity structure on infinite intervals

Cites Work

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• Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
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• Self-affine sets and graph-directed systems
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• Self-affine tiles in \(\mathbb{R}^n\)
• On a generalized dimension of self‐affine fractals
• Self-Similar Sets 5. Integer Matrices and Fractal Tilings of ℝ n
• Non-Negative Digit Sets in Positional Number Systems
• On one-dimensional self-similar tilings and $pq$-tiles
• Integral Self-Affine Tiles in ℝ ⁿ I. Standard and Nonstandard Digit Sets
• Self-similar lattice tilings

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