A Minkowski theorem for quasicrystals

DOI10.1007/s00454-017-9864-0zbMath1377.52021arXiv1604.03997OpenAlexW2588119722MaRDI QIDQ2411823

Pierre-Antoine Guihéneuf, Emilien Joly

Publication date: 25 October 2017

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

Full work available at URL: https://arxiv.org/abs/1604.03997

zbMATH Keywords

discretizationDiophantine approximationquasicrystalsMinkowski theorem

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Lattices and convex bodies (number-theoretic aspects) (11H06) Density, gaps, topology (11B05) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (2)

Degree of recurrence of generic diffeomorphisms ⋮ A note on discrete lattice-periodic sets with an application to Archimedean tilings

Cites Work

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• Quasicrystals, almost periodic patterns, mean-periodic functions and irregular sampling
• Meyer's concept of quasicrystal and quasiregular sets
• An introduction to the geometry of numbers.
• Visibility and Directions in Quasicrystals
• Uniform Distribution in Model Sets
• Discretizations of Isometries
• Geometry Revealed

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