3 papers
math.FA2020
Affine invariant maps for log-concave functions
Ben Li, Carsten Schütt, Elisabeth M. Werner
Affine invariant points and maps for sets were introduced by Grünbaum to study the symmetry structure of convex sets. We extend these notions to a functional setting. The role of s…
math.FA2019
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…
math.FA2019
The Loewner function of a log-concave function
Ben Li, Carsten Schuett, Elisabeth M. Werner
We introduce the notion of Loewner (ellipsoid) function for a log concave function and show that it is an extension of the Loewner ellipsoid for convex bodies. We investigate its d…