14 citations · 88 across the 28 of their papers we have counts for
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math.CA2016★ 11 cited
Geodesic distance Riesz energy on the sphere
Dmitriy Bilyk, Feng Dai
We study energy integrals and discrete energies on the sphere, in particular, analogs of the Riesz energy with the geodesic distance in place of Euclidean, and observe that the ran…
math.CA2016★ 11 cited
Stolarsky principle and energy optimization on the sphere
Dmitriy Bilyk, Feng Dai, Ryan Matzke
The classical Stolarsky invariance principle connects the spherical cap discrepancy of a finite point set on the sphere to the pairwise sum of Euclidean distances between the…