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math.CA2019
Hyperuniform point sets on flat tori: deterministic and probabilistic aspects
Tetiana Stepanyuk
In this paper we study hyperuniformity on flat tori. Hyperuniform point sets on the unit sphere have been studied by J.~Brauchart, P.~Grabner, W.~Kusner and J.~Ziefle. It is shown…
math.CA2019
Estimates for logarithmic and Riesz energies for spherical -designs
Tetiana Stepanyuk
In this paper we find asymptotic equalities for the discrete logarithmic energy of sequences of well separated spherical -designs on the unit sphere ${\mathbb{S}^{d}\subset\math…