Characterization of tile digit sets with prime determinants

DOI10.1016/j.acha.2004.03.001zbMath1065.52014OpenAlexW2016317887MaRDI QIDQ1826524

Xing-Gang He, Ka-Sing Lau

Publication date: 6 August 2004

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2004.03.001

zbMATH Keywords

Refinement equationPrimeDigit setRoot of unityScaling functionSelf-affine tileTile digit set

Mathematics Subject Classification ID

Fractals (28A80) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items

Radix representations, self-affine tiles, and multivariable wavelets, Affine systems: asymptotics at infinity for fractal measures, Spectrality of self-similar tiles, Some Recent Developments of Self-Affine Tiles, Characterization of a class of planar self-affine tile digit sets, Efficient algorithms for deciding the type of growth of products of integer matrices, Classification of tile digit sets as product-forms, Unitary representations of wavelet groups and encoding of iterated function systems in solenoids, Spectral structure of digit sets of self-similar tiles on ${\mathbb R}^1$

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