Title

Universal lower bounds for potential energy of spherical codes

Document Type

Presentation

Presentation Date

10-9-2014

Conference Name

Sofia University Colloquium

Conference Location

Sofia University, Sofia, Bulgaria

Peer Review

Invited

Abstract

Based upon the works of Delsarte-Goethals-Seidel, Levenshtein, Yudin, and Cohn-Kumar we derive universal lower bounds for the potential energy of spherical codes, that are optimal (in the framework of the standard linear programming approach) over a certain class of polynomial potentials whose degrees are upper bounded via a familiar formula for spherical designs.

Keywords

potential energy, spherical codes, universal configurations

Disciplines

Analysis | Discrete Mathematics and Combinatorics

This document is currently not available here.

Share

COinS