Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere

Borodachov, Sergiy V.

doi:10.1007/s00365-023-09661-1

Constr Approx

2023

DOI: 10.1007/s00365-023-09661-1

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Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere

Sergiy V. Borodachov

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2024

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Cited by 3 publications

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Odd strength spherical designs attaining the Fazekas–Levenshtein bound for covering and universal minima of potentials

Borodachov

2024

Aequat. Math.

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We characterize the cases of existence of spherical designs of an odd strength attaining the Fazekas–Levenshtein bound for covering and prove some of their properties. We also find all universal minima of the potential of regular spherical configurations in two new cases: the demihypercube on $$S^d$$ S d , $$d\ge 4$$ d ≥ 4 , and the $$2_{41}$$ 2 41 polytope on $$S^7$$ S 7 (which is dual to the $$E_8$$ E 8 lattice).

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Odd strength spherical designs attaining the Fazekas–Levenshtein bound for covering and universal minima of potentials

Borodachov

2024

Aequat. Math.

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show abstract