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Journée transport optimal, équation de Monge-Ampère et applications

# Moment measures

## by Prof. Dario CORDERO-ERAUSQUIN (Université Paris 6)

mercredi 7 décembre 2016 de au (Europe/Paris)
at IHES ( Amphithéâtre Léon Motchane )
Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
 Description To every convex function $\psi$ tending to infinity at infinity we can associate its moment measure, which is the image by the gradient of $\psi$ of the measure with density $e^{-\psi}$. We aim at characterizing all the measures that can be obtained as moment measure of some convex function. This will be done by studying a variational problem that is closely related to the one of optimal transportation theory. This variational problem can be studied using tools from the geometry of log-concave measures. Organisé par Quentin Mérigot Contact Email: cecile@ihes.fr