This note describes some recent results on the regularity of optimal transport maps. As we shall see, in general optimal maps are not globally smooth, but they are so outside a “singular set” of measure zero
In this paper we continue the investigation of the regularity of optimal transport maps on Riemannia...
International audienceIn this paper we continue the investigation of the regularity of optimal trans...
In this thesis we study the regularity properties of solutions to the Kantorovich optimal transporta...
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
We prove that, for general cost functions on Rn, or for the cost d2/2 on a Riemannian manifold, opti...
We prove that, for general cost functions on Rn, or for the cost d2/2 on a Riemannian manifold, opti...
In the field of optimal transportation, one important issue is the regularity of the optimal transpo...
International audienceWe provide a new proof of the known partial regularity result for the optimal ...
International audienceWe provide a new proof of the known partial regularity result for the optimal ...
We prove that, in the optimal transportation problem with general costs and positive continuous dens...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
It is known that optimal mappings in optimal transportation problems are uniquely determined by corr...
It is known that optimal mappings in optimal transportation problems are uniquely determined by corr...
This thesis is devoted to the regularity of optimal transport maps. We provide new results on this p...
In this paper we continue the investigation of the regularity of optimal transport maps on Riemannia...
International audienceIn this paper we continue the investigation of the regularity of optimal trans...
In this thesis we study the regularity properties of solutions to the Kantorovich optimal transporta...
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
We prove that, for general cost functions on Rn, or for the cost d2/2 on a Riemannian manifold, opti...
We prove that, for general cost functions on Rn, or for the cost d2/2 on a Riemannian manifold, opti...
In the field of optimal transportation, one important issue is the regularity of the optimal transpo...
International audienceWe provide a new proof of the known partial regularity result for the optimal ...
International audienceWe provide a new proof of the known partial regularity result for the optimal ...
We prove that, in the optimal transportation problem with general costs and positive continuous dens...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
It is known that optimal mappings in optimal transportation problems are uniquely determined by corr...
It is known that optimal mappings in optimal transportation problems are uniquely determined by corr...
This thesis is devoted to the regularity of optimal transport maps. We provide new results on this p...
In this paper we continue the investigation of the regularity of optimal transport maps on Riemannia...
International audienceIn this paper we continue the investigation of the regularity of optimal trans...
In this thesis we study the regularity properties of solutions to the Kantorovich optimal transporta...
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