English

Hyperuniform point sets on the sphere: deterministic constructions

Classical Analysis and ODEs 2020-07-27 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1709.02613,
  title  = {Hyperuniform point sets on the sphere: deterministic constructions},
  author = {Johann Brauchart and Peter Grabner and Wöden Kusner},
  journal= {arXiv preprint arXiv:1709.02613},
  year   = {2020}
}
R2 v1 2026-06-22T21:37:00.704Z