We extend the notion of hyperuniformity to the projective spaces RPd−1, CPd−1, HPd−1, and OP2. We show that hyperuniformity implies uniform distribution and present examples of deterministic point sets as well as point processes which exhibit hyperuniform behaviour.
@article{arxiv.2403.03572,
title = {Hyperuniform point sets on projective spaces},
author = {Johann S. Brauchart and Peter J. Grabner},
journal= {arXiv preprint arXiv:2403.03572},
year = {2024}
}