Carsten Schutt

activity

19932026

most citedFloating body, illumination body, and polytopal approximation

11 citations · 18 across the 6 of their papers we have counts for

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math.MG2024

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 $s$ -concave functions. This leads to new notions of weighted…

math.MG2018

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…

math.MG1996★ 11 cited

Floating body, illumination body, and polytopal approximation

Carsten Schütt

Let $K$ be a convex body in $R^{d}$ and $K_{t}$ its floating bodies. There is a polytope with at most $n$ vertices that satisfies $K_{t} \subset P_{n} \subset K$ where $$…

math.MG1993

Random polytopes and affine surface area

Carsten Schütt

Let K be a convex body in $R^{d}$ . A random polytope is the convex hull $[x_{1}, ..., x_{n}]$ of finitely many points chosen at random in K. $E (K, n)$ is the expectation of the volume…