153 citations · 485 across the 45 of their papers we have counts for
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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.FA2020
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…