Hyperuniform point sets on projective spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916148724891648 |
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| author | Brauchart, Johann S. Grabner, Peter J. |
| author_facet | Brauchart, Johann S. Grabner, Peter J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03572 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hyperuniform point sets on projective spaces Brauchart, Johann S. Grabner, Peter J. Classical Analysis and ODEs Probability 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. |
| title | Hyperuniform point sets on projective spaces |
| topic | Classical Analysis and ODEs Probability |
| url | https://arxiv.org/abs/2403.03572 |