Expected extremal area of facets of random polytopes
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909457013800960 |
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| author | Leroux, Brett Rademacher, Luis Schütt, Carsten Werner, Elisabeth M. |
| author_facet | Leroux, Brett Rademacher, Luis Schütt, Carsten Werner, Elisabeth M. |
| contents | We study extremal properties of spherical random polytopes, the convex hull of random points chosen from the unit Euclidean sphere in $\mathbb{R}^n$. The extremal properties of interest are the expected values of the maximum and minimum surface area among facets. We determine the asymptotic growth in every fixed dimension, up to absolute constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08614 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Expected extremal area of facets of random polytopes Leroux, Brett Rademacher, Luis Schütt, Carsten Werner, Elisabeth M. Probability Metric Geometry We study extremal properties of spherical random polytopes, the convex hull of random points chosen from the unit Euclidean sphere in $\mathbb{R}^n$. The extremal properties of interest are the expected values of the maximum and minimum surface area among facets. We determine the asymptotic growth in every fixed dimension, up to absolute constants. |
| title | Expected extremal area of facets of random polytopes |
| topic | Probability Metric Geometry |
| url | https://arxiv.org/abs/2501.08614 |