Brillouin zones of integer lattices and their perturbations
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Publication:6561320
DOI10.1137/22M1489071zbMATH Open1542.52014MaRDI QIDQ6561320
Alexey I. Garber, Mohadese Ghafari, M. H. M. J. Wintraecken, Morteza Saghafian, Teresa Heiss, Herbert Edelsbrunner
Publication date: 25 June 2024
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Voronoi diagrams and arrangements
- Brillouin zones and the geometry of numbers
- Improved bounds for planar \(k\)-sets and related problems
- Hyperuniform states of matter
- Les électrons libres dans les métaux et le rôle des réflexions de Bragg.
- On the number of primitive representations of integers as sums of squares
- Voronoi cells of discrete point sets
- Aperiodic order. Volume 1. A mathematical invitation
- Stochastic and Integral Geometry
- On k-Nearest Neighbor Voronoi Diagrams in the Plane
- Point Selections and Weak ε-Nets for Convex Hulls
- Exponential Sums and Lattice Points III
- Markov paths on the Poisson-Delaunay graph with applications to routeing in mobile networks
- On the Optimality of the FCC Lattice for Soft Sphere Packing
- Geometric and Asymptotic Properties of Brillouin Zones in Lattices
- Convex and Discrete Geometry
- The Geometric Stability of Voronoi Diagrams with Respect to Small Changes of the Sites
- Über die Inhaltsgleichheit der Brillouinschen Zonen
- Über Gitterpunkte in der Ebene.
- An improved bound for \(k\)-sets in three dimensions
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