1 citations · 1 across the 4 of their papers we have counts for
4 papers
Energy, Polarization, and Separation of Greedy Sequences for Riesz and Green Kernels
Dmitriy Bilyk, Liudmyla Kryvonos, Ryan W. Matzke +1
We investigate the asymptotic behavior of greedy -Riesz and Green energy sequences on the unit sphere , where…
Bounds on energy and potentials of discrete measures on the sphere
S. Borodachov, P. Boyvalenkov, P. Dragnev +3
We establish upper and lower universal bounds for potentials of weighted designs on the sphere that depend only on quadrature nodes and weights derived from the…
Energy bounds for weighted spherical codes and designs via linear programming
Sergiy Borodachov, Peter Boyvalenkov, Peter Dragnev +3
Universal bounds for the potential energy of weighted spherical codes are obtained by linear programming. The universality is in the sense of Cohn-Kumar -- every attaining code is…
On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces
A. B. J. Kuijlaars, E. B. Saff, X. Sun
For the unit sphere S^d in Euclidean space R^(d+1), we show that for d-1<s<d and any N>1, discrete N-point minimal Riesz s-energy configurations are well separated in the sense tha…