most citedA minimum principle for potentials with application to Chebyshev constants

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2023

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…

math.CA2023

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…

math.CA2016★ 1 cited

A minimum principle for potentials with application to Chebyshev constants

A. Reznikov, E. B. Saff, O. V. Vlasiuk

For "Riesz-like" kernels on , where is a compact -regular set , we prove a minimum principle for potentials $U_K^μ=\int K…