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math.MG2021
Covering by planks and avoiding zeros of polynomials
Alexey Glazyrin, Roman Karasev, Alexandr Polyanskii
We note that the recent polynomial proofs of the spherical and complex plank covering problems by Zhao and Ortega-Moreno give some general information on zeros of real and complex…
math.CA2021★ 3 cited
Potential theory with multivariate kernels
Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin +3
In the present paper we develop the theory of minimization for energies with multivariate kernels, i.e. energies, in which pairwise interactions are replaced by interactions betwee…