Regularity of optimal transport maps and applications PDF

Regularity of optima transport maps and applications. Add to your list(s) Download to your calendar using vCal. Guido De Philippis (University of Zurich) Wednesday 05 February 2014, 13:00-13:45; CMS, MR12. If you have a question about this talk, please contact HoD …

... on the cost function so that the map solution of Monge's optimal transportation ... have non-negative sectional curvature everywhere, the optimal transport map ...

21 Feb 2013 ... 1.3 Regularity of optimal transport map: obstructions. In this section we consider a Riemannian manifold M of dimension n. Caffarelli's ... 19 Mar 2015 ... The regularity theory of optimal transport map with quadratic cost c ( x ... of X. As an application we show that optimal transport maps between ...

In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two chapters survey the known theory, in particular there is a self-contained proof of Brenier’ theorem on existence of optimal transport maps and of Caffarelli’s Theorem on Holder continuity of optimal maps.

In this thesis, we study the regularity of optimal transport maps and its applications to the semi-geostrophic system. The first two chapters survey the known ...