Elisabeth M. Werner

collaborators

4 papers

math.MG2026

Dual volume approximation of the Euclidean ball by polytopes with a fixed number of $k$ -faces

Steven Hoehner, Carsten SchÃ¼tt, Elisabeth M. Werner

We study dual volume approximation of the Euclidean ball by polytopes with a prescribed number of $k$ -dimensional faces. This continues the authors' previous work on intrinsic volu…

math.DG2026

Illumination bodies on Riemannian manifolds

Rotem Assouline, Carsten SchÃ¼tt, Elisabeth M. Werner

We prove a generalization of Werner's asymptotic formula for the volume of the illumination body of a convex body, which holds on Riemannian manifolds with Ricci curvature bounded…

math.MG2025

Approximation of the Euclidean ball by polytopes with a fixed number of $k$ -faces

Steven Hoehner, Carsten SchÃ¼tt, Carsten Schütt +1

We derive lower estimates for the approximation of the $d$ -dimensional Euclidean ball by polytopes with a fixed number of $k$ -dimensional faces, $k \in {0, 1, \dots, d - 1}$ . The metri…

math.PR2025

Expected extremal area of facets of random polytopes

Brett Leroux, Luis Rademacher, Carsten SchÃ¼tt +1

We study extremal properties of spherical random polytopes, the convex hull of random points chosen from the unit Euclidean sphere in $R^{n}$ . The extremal properties of int…

Dual volume approximation of the Euclidean ball by polytopes with a fixed number of k-faces

Illumination bodies on Riemannian manifolds

Approximation of the Euclidean ball by polytopes with a fixed number of k-faces

Expected extremal area of facets of random polytopes

Dual volume approximation of the Euclidean ball by polytopes with a fixed number of $k$ -faces

Approximation of the Euclidean ball by polytopes with a fixed number of $k$ -faces