Liudmyla Kryvonos

activity

20212026

most citedWeighted Minkowski's Existence Theorem and Projection Bodies

12 citations · 12 across the 6 of their papers we have counts for

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2 papers · 1 filter

math.MG2026

Energy minimization for eight points on the sphere

Liudmyla Kryvonos, Lukas Liehr, Mitchell A. Taylor

We study the energy minimization problem for eight points on the unit sphere. For the logarithmic and Coulomb energies, we show that the unique global minimizer up to congruence is…

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 $s$ -Riesz and Green energy sequences ${x_{n}}_{n = 1}^{\infty}$ on the unit sphere $S^{d} \subset R^{d + 1}$ , where…