Title

Minimizing Energy – Theoretical Aspects

Document Type

Presentation

Document Subtype

Abstract

Presentation Date

Spring 3-13-2015

Conference Name

Shanks Workshop on Linear Programming Bounds for Minimal Energy Problems

Conference Location

Vanderbilt University, Nashville, TN

Peer Review

Invited

Abstract

We derive universal lower bounds for the potential energy of spherical codes, that are optimal in the framework of the standard linear programming approach. 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.

Keywords

minimal energy problems, universal configurations, spherical codes, Delsarte linear programming method

Disciplines

Analysis | Discrete Mathematics and Combinatorics | Other Applied Mathematics

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