Section: New Results

Optimal transport

Participants : Bernard Bonnard, Ahed Hindawi, Jean-Baptiste Pomet, Ludovic Rifford.

In [23] , we provide results on existence and continuity of the optimal transport map between absolutely continuous measures (with respect to Lebesgue measure) for a point-to-point cost coming from controllable linear-quadratic optimal control. This is the simplest case of a cost coming from a system with drift; it bears some interest because the cost can be explicitly computed. A. Hindawi's PhD also aims at more general systems. It will be defended in 2012.