Böröczky, Károly (Ifj.) and Lugosi, Gábor and Reitzner, Matthias (2024) Facets of High-Dimensional Gaussian Polytopes. JOURNAL OF GEOMETRIC ANALYSIS, 34 (3). ISSN 1050-6926
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Official URL: https://doi.org/10.1007/s12220-023-01440-5
Abstract
We study the number of facets of the convex hull of n independent standard Gaussian points in Rd . In particular, we are interested in the expected number of facets when the dimension is allowed to grow with the sample size. We establish an explicit asymptotic formula that is valid whenever d/n → 0. We also obtain the asymptotic value when d is close to n.
| Item Type: | Article |
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| Uncontrolled Keywords: | Gaussian polytope, Expected number of facets |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 05 Apr 2024 09:10 |
| Last Modified: | 05 Apr 2024 09:10 |
| URI: | https://real.mtak.hu/id/eprint/191908 |
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