Classification of tile digit sets as product-forms

DOI10.1090/tran/6703zbMath1395.05034arXiv1305.0202OpenAlexW2963212071MaRDI QIDQ2826774

Ka-Sing Lau, Hui Rao, Chun-Kit Lai

Publication date: 18 October 2016

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

Full work available at URL: https://arxiv.org/abs/1305.0202

zbMATH Keywords

treecyclotomic polynomialskernel polynomialsblockingspectraself-affine tilesprimeinteger tilesproduct-formstile digit sets

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Fractals (28A80) Radix representation; digital problems (11A63) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (14)

Spectrality of self-similar measures with product-form digits ⋮ Product-form Hadamard triples and its spectral self-similar measures ⋮ Tiling and spectrality for generalized Sierpinski self-affine sets ⋮ Spectrality of self-similar tiles ⋮ On self-affine tiles that are homeomorphic to a ball ⋮ Open set condition and pseudo Hausdorff measure of self-affine IFSs ⋮ Fourier Series for Fractals in Two Dimensions ⋮ Spectrality of Moran measures with four-element digit sets ⋮ Some Recent Developments of Self-Affine Tiles ⋮ Characterization of a class of planar self-affine tile digit sets ⋮ Measure of self-affine sets and associated densities ⋮ Spectral properties of self-similar measures with product-form digit sets ⋮ Tilings of convex polyhedral cones and topological properties of self-affine tiles ⋮ A single fractal pinwheel tile

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