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math.MG2013
Volume of the polar of random sets and shadow systems
Dario Cordero-Erausquin, Matthieu Fradelizi, Grigoris Paouris +1
We obtain optimal inequalities for the volume of the polar of random sets, generated for instance by the convex hull of independent random vectors in Euclidean space. Extremizers a…
math.FA2013
Moment Measures
Dario Cordero-Erausquin, Bo'az Klartag
With any convex function F on a finite-dimensional linear space X such that F goes to infinity at infinity, we associate a Borel measure on the dual space X*. This measure is obtai…