Elisabeth M. Werner

activity

20192026

most citedRandom approximation of convex bodies in Hausdorff metric

4 citations · 4 across the 9 of their papers we have counts for

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math.MG2026

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

Steven Hoehner, Carsten Schütt, 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 Schütt, 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…

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

Illumination bodies on Riemannian manifolds

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