4 citations · 4 across the 9 of their papers we have counts for
8 papers
Dual volume approximation of the Euclidean ball by polytopes with a fixed number of -faces
Steven Hoehner, Carsten Schütt, Elisabeth M. Werner
We study dual volume approximation of the Euclidean ball by polytopes with a prescribed number of -dimensional faces. This continues the authors' previous work on intrinsic volu…
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…
Approximation of the Euclidean ball by polytopes with a fixed number of -faces
Steven Hoehner, Carsten Schütt, Elisabeth Werner
We derive lower estimates for the approximation of the -dimensional Euclidean ball by polytopes with a fixed number of -dimensional faces, . The metri…
Expected extremal area of facets of random polytopes
Brett Leroux, Luis Rademacher, Carsten Schütt +1
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 int…
Random approximation of convex bodies in Hausdorff metric
Joscha Prochno, Carsten Schütt, Mathias Sonnleitner +1
While there is extensive literature on approximation, deterministic as well as random, of general convex bodies in the symmetric difference metric, or other metrics arising fro…
Weighted floating functions and weighted functional affine surface areas
Carsten Schütt, Christoph Thaele, Nicola Turchi +1
The purpose of this paper is to introduce the new concept of weighted floating functions associated with log concave or -concave functions. This leads to new notions of weighted…
Extremal affine surface areas in a functional setting
Stephanie Egler, Elisabeth M. Werner
We introduce extremal affine surface areas in a functional setting. We show their main properties. Among them are linear invariance, isoperimetric inequalities and monotonicity pro…
Constrained convex bodies with extremal affine surface areas
O. Giladi, H. Huang, C. Schütt +1
Given a convex body K in R^n and p in R, we introduce and study the extremal inner and outer affine surface areas IS_p(K) = sup_{K'\subseteq K} (as_p(K') ) and os_p(K)=inf_{K'\sups…