Title

Delsarte-Yudin LP method and universal lower bounds on energy

Document Type

Presentation

Presentation Date

Spring 4-9-2015

Conference Name

Discrete Geometry and Algebraic Combinatorics 2015

Conference Location

South Padre Island

Peer Review

Invited

Abstract

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.

Keywords

potential energy, spherical codes, universal configurations

Disciplines

Analysis | Applied Mathematics | Discrete Mathematics and Combinatorics

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Link to Original Published Item

http://blue.utb.edu/dg2013/15/schedule.html