Hyperuniform point sets on the sphere: deterministic aspects

Authors: Johann Brauchart, Peter Grabner, and Wöden Kusner
Journal: Constructive Approximation, 50145-61, 2019.
Full text: arXiv DOI


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 our sense.