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math.CA2017★ 24 cited
Hyperuniform point sets on the sphere: deterministic constructions
Johann Brauchart, Peter Grabner, Wöden Kusner
We study a generalisation of the concept of hyperuniformity to spheres of arbitrary dimension. It is shown that QMC-designs (and especially spherical designs) are hyperuniform in o…
math-ph2017
Logarithmic and Riesz Equilibrium for Multiple Sources on the Sphere --- the Exceptional Case
Johann S. Brauchart, Peter D. Dragnev, Edward B. Saff +1
We consider the minimal discrete and continuous energy problems on the unit sphere in the Euclidean space in the presence of an external field due…