Pure point diffractive substitution Delone sets have the Meyer property

DOI10.1007/s00454-008-9054-1zbMath1168.37003OpenAlexW2068450184MaRDI QIDQ2482211

B. M. Solomyak, Jeong-Yup Lee

Publication date: 16 April 2008

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-008-9054-1

zbMATH Keywords

Meyer setDelone setBragg peakdynamical spectratiling dynamical systemsprimitive substitution Delone setpure point diffractive set

Mathematics Subject Classification ID

Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items

Inflations of self-affine tilings are integral algebraic Perron ⋮ On arithmetic progressions in non-periodic self-affine tilings ⋮ Discrete spectra and Pisot numbers ⋮ Spectral properties of substitutions on compact alphabets ⋮ On substitution tilings and Delone sets without finite local complexity ⋮ Algorithm for determining pure pointedness of self-affine tilings ⋮ Proximality and pure point spectrum for tiling dynamical systems ⋮ Delone Sets and Dynamical Systems ⋮ Substitution Delone sets with pure point spectrum are inter-model sets ⋮ Geometric realization for substitution tilings ⋮ A note on aperiodic Ammann tiles ⋮ Optimal embedding of Meyer sets into model sets

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