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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| Veröffentlicht in: | Monatshefte für Mathematik 2024-11, Vol.205 (3), p.455-475 |
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| container_issue | 3 |
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| container_title | Monatshefte für Mathematik |
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| creator | Böröczky, Károly J. Glazyrin, Alexey |
| description | 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. |
| doi_str_mv | 10.1007/s00605-024-02021-6 |
| format | Article |
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E
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| ispartof | Monatshefte für Mathematik, 2024-11, Vol.205 (3), p.455-475 |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Configurations Linear programming Mathematics Mathematics and Statistics Optimization Stability |
| title | Stability of optimal spherical codes |
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