Year: 2026
Type: article
Abstract: We extend the notion of hyperuniformity to the projective spaces $$\mathbb{R}\mathbb{P}^{d-1}$$ R P d - 1 , $$\mathbb{C}\mathbb{P}^{d-1}$$ C P d - 1 , $$\mathbb{H}\mathbb{P}^{d-1}$$ H P d - 1 , and $$\mathbb{O}\mathbb{P}^2$$ O P 2 . We show that hyperuniformity implies uniform distribution and present examples of deterministic point sets as well as point processes which exhibit hyperuniform behaviour.
Source: Constructive Approximation
Authors: Johann S. Brauchart, Peter J. Grabner
Institution: Graz University of Technology
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4392575917