Hyperuniform point sets on projective spaces

Johann S. Brauchart, Peter J. Grabner

We extend the notion of hyperuniformity to the projective spaces ${\mathbb{RP}}^{d-1}$, ${\mathbb{CP}}^{d-1}$, ${\mathbb{HP}}^{d-1}$, and ${\mathbb{OP}}^2$. We show that hyperuniformity im…