Delsarte-Yudin LP method and universal lower bounds on energy
Discrete Geometry and Algebraic Combinatorics 2015
South Padre Island
We derive universal lower bounds for the potential energy of spherical codes, that are optimal in the framework of Delsarte’s linear programming approach adapted for energy bounds by Yudin. Our bounds are universal in the sense of both Levenshtein and Cohn and Kumar; i.e., they are valid for any choice of dimension and code cardinality and that they apply to any absolutely monotone potential.
This is a joint work with P. Boyvalenkov, BAS; D. Hardin and E. Saff, Vanderbilt University, M. Stoyanova, Sofia University.
potential energy, spherical codes, universal configurations
Analysis | Applied Mathematics | Discrete Mathematics and Combinatorics
Peter D. Dragnev (2015).
Delsarte-Yudin LP method and universal lower bounds on energy. Presented at Discrete Geometry and Algebraic Combinatorics 2015, South Padre Island.
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