S. Borodachov

activity

20062023

most citedAsymptotics for Discrete Weighted Minimal Riesz Energy Problems on Rectifiable Sets

3 citations · 11 across the 13 of their papers we have counts for

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Showing 2022 · math.OCShow all

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math.OC2022

Optimal Antipodal Configuration of $2 d$ Points on a Sphere in $R^{d}$ for Covering

Sergiy Borodachov

We show that among antipodal $2 d$ -point configurations on the sphere $S^{d - 1}$ in $R^{d}$ , the set of vertices of a regular cross-polytope inscribed in $S^{d - 1}$ uniquely sol…

math.OC2022

Absolute Minima of Potentials of Certain Regular Spherical Configurations

Sergiy Borodachov

We use methods of approximation theory to find the absolute minima on the sphere of the potential of spherical $(2 m - 3)$ -designs with a non-trivial index $2 m$ that are contained in…

Optimal Antipodal Configuration of 2d Points on a Sphere in Rd for Covering

Absolute Minima of Potentials of Certain Regular Spherical Configurations

Optimal Antipodal Configuration of $2 d$ Points on a Sphere in $R^{d}$ for Covering