11 citations · 18 across the 6 of their papers we have counts for
7 papers
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…
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…
Flag numbers and floating bodies
Florian Besau, Carsten Schütt, Elisabeth M. Werner
We investigate weighted floating bodies of polytopes. We show that the weighted volume depends on the complete flags of the polytope. This connection is obtained by introducing fla…
A note on Mahler's conjecture
Shlomo Reisner, Carsten Schütt, Elisabeth M. Werner
Let be a convex body in with Santaló point at 0\. We show that if has a point on the boundary with positive generalized Gauß curvature, then the volume produ…
Floating body, illumination body, and polytopal approximation
Carsten Schütt
Let be a convex body in and its floating bodies. There is a polytope with at most vertices that satisfies where $$…
On the embedding of 2-concave Orlicz spaces into
Carsten Schütt
In [K--S 1] it was shown that is equivalent to an Orlicz norm whose Orlicz function is 2-concave.…
Random polytopes and affine surface area
Carsten Schütt
Let K be a convex body in . A random polytope is the convex hull of finitely many points chosen at random in K. is the expectation of the volume…