Stability of optimal spherical codes

For many extremal configurations of points on a sphere, the linear programming approach can be used to show their optimality. In this paper we establish the general framework for showing stability of such configurations and use this framework to prove the stability of the two spherical codes formed...

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Bibliographic Details
Published in:Monatshefte für Mathematik 2024-11, Vol.205 (3), p.455-475
Main Authors: Böröczky, Károly J., Glazyrin, Alexey
Format: Article
Language:English
Subjects:
Configurations
Linear programming
Mathematics
Mathematics and Statistics
Optimization
Stability
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Summary:For many extremal configurations of points on a sphere, the linear programming approach can be used to show their optimality. In this paper we establish the general framework for showing stability of such configurations and use this framework to prove the stability of the two spherical codes formed by minimal vectors of the lattice E 8 and of the Leech lattice.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-024-02021-6