Orateur
Thierry Champion
(Université de Toulon)
Description
In this talk, I consider optimal transport problems that involve non-linear transportation costs which favour optimal plans non associated to a single valued transport map. I will describe some results concerning this type of problem (existence, duality principle, optimality conditions) and focus on specific examples in a finite dimensional compact setting. I will consider in particular the case where the cost involves the opposite of the variance or the indicator of a constraint on the barycenter of $p$ (martingale transport).
This is from a joined work with J.J. Alibert and G. Bouchitté.
