3 papers
math.CA2026
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…
math.MG2024
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…
math.MG2024
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…