153 citations · 485 across the 45 of their papers we have counts for
18 papers · 1 filter
Geometric representation of classes of concave functions and duality
Grigory Ivanov, Elisabeth M. Werner
Using a natural representation of a -concave function on as a convex set in we derive a simple formula for the integral of its -polar. Th…
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…
Blaschke-Santalo inequality for many functions and geodesic barycenters of measures
Alexander V. Kolesnikov, Elisabeth M. Werner
Motivated by the geodesic barycenter problem from optimal transportation theory, we prove a natural generalization of the Blaschke-Santalo inequality and the affine isoperimetric i…
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…
Floating functions
Ben Li, Carsten Schuett, Elisabeth M. Werner
We introduce floating bodies for convex, not necessarily bounded subsets of . This allows us to define floating functions for convex and log concave functions and log…
On the geometry of projective tensor products
Ohad Giladi, Joscha Prochno, Carsten Schütt +2
In this work, we study the volume ratio of the projective tensor products with . We obtain asymptotic…