The density and minimal gap of visible points in some planar quasicrystals

DOI10.1016/j.disc.2022.113074zbMath1497.82013arXiv1906.01248OpenAlexW2948964376MaRDI QIDQ2675836

Gustav Hammarhjelm

Publication date: 26 September 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01248

zbMATH Keywords

densityquasicrystalgap statisticsvisible points

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Cites Work

• The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems
• Raghunathan's topological conjecture and distributions of unipotent flows
• On Raghunathan's measure conjecture
• Diffraction from visible lattice points and \(k\)th power free integers
• Distribution of lattice points visible from the origin
• Free path lengths in quasicrystals
• On the probability that \(k\) positive integers are relatively prime
• Radial spacing distributions from planar point sets
• Visibility and Directions in Quasicrystals
• PLANAR PATTERNS WITH FIVEFOLD SYMMETRY AS SECTIONS OF PERIODIC STRUCTURES IN 4-SPACE
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