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math.CA2021
Positive definiteness and the Stolarsky invariance principle
Dmitriy Bilyk, Ryan Matzke, Oleksandr Vlasiuk
In this paper we elaborate on the interplay between energy optimization, positive definiteness, and discrepancy. In particular, assuming the existence of a -invariant measure $μ…
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…