Visibility and Directions in Quasicrystals

DOI10.1093/imrn/rnu140zbMath1332.52012arXiv1404.1564OpenAlexW2963382158MaRDI QIDQ3450446

Andreas Strömbergsson, Jens Marklof

Publication date: 5 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1564

zbMATH Keywords

densityquasicrystalsvisibie points

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Combinatorial aspects of tessellation and tiling problems (05B45) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (8)

Efficient algorithm for simulating particles in true quasiperiodic environments ⋮ A Minkowski theorem for quasicrystals ⋮ The density and minimal gap of visible points in some planar quasicrystals ⋮ Kinetic Theory for the Low-Density Lorentz Gas ⋮ Entry and return times for semi-flows ⋮ Generalized Riemann Sums ⋮ Cut and project sets with polytopal window I: Complexity ⋮ On coprime percolation, the visibility graphon, and the local limit of the GCD profile

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