3 citations · 6 across the 5 of their papers we have counts for
5 papers
Metrics and Isometries for Convex Functions
Ben Li, Fabian Mussnig
We introduce a class of functional analogs of the symmetric difference metric on the space of coercive convex functions on with full-dimensional domain. We show that…
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…
The Existence of Extremizers of Blaschke-Santaló Type Inequalities
Ben Li
We discuss a topological structure on families of convex functions and then apply it to show the existence of extrimizers for the functional Santaló inequality with respect to pola…
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…