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Hyperuniform point sets on projective spaces
Johann S. Brauchart, Peter J. Grabner · 2024-03-06 · via math.PR updates on arXiv.org

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 implies uniform distribution and present examples of deterministic point sets as well as point processes which exhibit hyperuniform behaviour.

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