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
Opus Citation
Peter Boyvalenkov, Peter D. Dragnev, Douglas P. Hardin, Edward B. Saff, and Maya Stoyanova (2015).
Minimizing Energy – Theoretical Aspects. Presented at Shanks Workshop on Linear Programming Bounds for Minimal Energy Problems, Vanderbilt University, Nashville, TN.
https://opus.ipfw.edu/math_facpres/148