Three-point bounds for energy minimization

DOI10.1090/S0894-0347-2012-00737-1zbMath1335.31006arXiv1103.0485MaRDI QIDQ5326480

Jeechul Woo, Henry Cohn

Publication date: 6 August 2013

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0485

Mathematics Subject Classification ID

Semidefinite programming (90C22) Discrete potential theory (31C20)

Related Items (14)

Highly symmetric POVMs and their informational power ⋮ The Gaussian core model in high dimensions ⋮ Optimal configurations of lines and a statistical application ⋮ The Optimal Packing of Eight Points in the Real Projective Plane ⋮ Potential theory with multivariate kernels ⋮ On spherical codes with inner products in a prescribed interval ⋮ Extremal problems of circle packings on a sphere and irreducible contact graphs ⋮ Packings in Real Projective Spaces ⋮ Universal lower bounds for potential energy of spherical codes ⋮ Moment methods in energy minimization: New bounds for Riesz minimal energy problems ⋮ Energy bounds for codes in polynomial metric spaces ⋮ Exact Semidefinite Programming Bounds for Packing Problems ⋮ Bounds for spherical codes: The Levenshtein framework lifted ⋮ Distributing many points on spheres: minimal energy and designs

Uses Software

• CSDP
• PARI/GP

Cites Work

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• Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?
• Positive definite functions on spheres
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• The minimum of potential energy of a System of point charges
• CSDP, A C library for semidefinite programming
• Packing Lines, Planes, etc.: Packings in Grassmannian Spaces
• A spherical code
• Semidefinite Code Bounds Based on Quadruple Distances
• TheD₄Root System Is Not Universally Optimal
• The Closest Packing of Spherical Caps in n Dimensions

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