153 citations · 485 across the 45 of their papers we have counts for
3 papers · 1 filter
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…
Convex Floating Bodies of Equilibrium
D. I. Florentin, C. Schuett, E. M. Werner +1
We study a long standing open problem by Ulam, which is whether the Euclidean ball is the unique body of uniform density which will float in equilibrium in any direction. We answer…
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…