12 citations · 12 across the 6 of their papers we have counts for
7 papers
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…
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…
On a problem of E. Meckes for the unitary eigenvalue process on an arc
Liudmyla Kryvonos, Edward B. Saff
We study the problem originally communicated by E. Meckes on the asymptotics for the eigenvalues of the kernel of the unitary eigenvalue process of a random matrix. Th…
Open problems on polynomials, their zero distribution and related questions: 2023
Liudmyla Kryvonos
This paper collects open problems that were presented at the ``Hausdorff Geometry of Polynomials" workshop held on July 10-14, 2023 in Sofia, Bulgaria.
Almost optimal polynomial approximation on convex sets in
Liudmyla Kryvonos
For a function , continuous on a compact convex set and analytic in its interior we construct a sequence of almost optimal polynomials that converge with a geometric rate at…
Weighted Minkowski's Existence Theorem and Projection Bodies
Liudmyla Kryvonos, Dylan Langharst
The Brunn-Minkowski Theory has seen several generalizations over the past century. Many of the core ideas have been generalized to measures. With the goal of framing these generali…
Polynomial approximation of piecewise analytic functions on quasi-smooth arcs
Liudmyla Kryvonos
For a function that is piecewise analytic on a quasi-smooth arc and any we construct a sequence of "near-best" polynomials that converge at a rate $e^{-n^…