Expected extremal area of facets of random polytopes
Probability
2025-01-16 v1 Metric Geometry
Abstract
We study extremal properties of spherical random polytopes, the convex hull of random points chosen from the unit Euclidean sphere in . 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.
Cite
@article{arxiv.2501.08614,
title = {Expected extremal area of facets of random polytopes},
author = {Brett Leroux and Luis Rademacher and Carsten Schütt and Elisabeth M. Werner},
journal= {arXiv preprint arXiv:2501.08614},
year = {2025}
}