11 citations · 11 across the 3 of their papers we have counts for
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Optimal Measures for Multivariate Geometric Potentials
Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin +3
We study measures and point configurations optimizing energies based on multivariate potentials. The emphasis is put on potentials defined by geometric characteristics of sets of p…
Optimizers of three-point energies and nearly orthogonal sets
Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin +3
This paper is devoted to spherical measures and point configurations optimizing three-point energies. Our main goal is to extend the classic optimization problems based on pairs of…
Stolarsky principle and energy optimization on the sphere
Dmitriy Bilyk, Feng Dai, Ryan Matzke
The classical Stolarsky invariance principle connects the spherical cap discrepancy of a finite point set on the sphere to the pairwise sum of Euclidean distances between the…