Estimates of the optimal density of sphere packings in high dimensions

DOI10.1063/1.2897027zbMath1152.52305arXiv0705.1482OpenAlexW1548348048WikidataQ62048941 ScholiaQ62048941MaRDI QIDQ5504875

Antonello Scardicchio, Frank H. Stillinger, Salvatore Torquato

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1482

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (6)

The Gaussian core model in high dimensions ⋮ Hyperuniform states of matter ⋮ High-dimensional sphere packing and the modular bootstrap ⋮ Extreme lattices: symmetries and decorrelation ⋮ Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory ⋮ Dual linear programming bounds for sphere packing via modular forms

Cites Work

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• New upper bounds on sphere packings. II
• New upper bounds on sphere packings. I
• A proof of the Kepler conjecture
• The Packing of Equal Spheres
• Geometrical Study of the Pair Distribution Function in the Many-Body Problem
• New Conjectural Lower Bounds on the Optimal Density of Sphere Packings

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