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arXiv · 2403.03572

Hyperuniform point sets on projective spaces

Johann S. Brauchart·Peter J. Grabner
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Abstract

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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Johann S. Brauchart, Peter J. Grabner. 2024-03-06. Hyperuniform point sets on projective spaces. https://arxiv.org/abs/2403.03572

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