We introduce a more restrictive version of the strict CD(K,∞) -condition, the so-called very strict CD(K,∞) -condition, and show the existence of optimal maps in very strict CD(K,∞) -spaces despite the possible lack of uniqueness of optimal plans.peerReviewe
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
Schultz T. Equivalent Definitions of Very Strict CD(K,N)-spaces. Journal of Geometric Analysis. 2023...
We give an alternative proof for the fact that in n-dimensional Alexandrov spaces with curvature bou...
We consider the Monge-Kantorovich transport problem in a purely measure the-oretic setting, i.e. wit...
Abstract. This paper slightly improves a classical result by Gangbo and McCann (1996) about the stru...
We consider the Monge-Kantorovich transport problem in a purely measure the-oretic setting, i.e. wit...
Let (X,d,m) be a proper, non-branching, metric measure space. We show existence and uniqueness of op...
In the setting of the optimal transportation problem we provide some conditions which ensure the exi...
This paper deals with the existence of optimal transport maps for some optimal transport problems wi...
We show the existence of optimal transport maps in the case when the cost function is the distance i...
This paper deals with the existence of optimal transport maps for some optimal transport problems wi...
Abstract. We study Monge’s optimal transportation problem, where the cost is given by optimal contro...
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
Schultz T. Equivalent Definitions of Very Strict CD(K,N)-spaces. Journal of Geometric Analysis. 2023...
We give an alternative proof for the fact that in n-dimensional Alexandrov spaces with curvature bou...
We consider the Monge-Kantorovich transport problem in a purely measure the-oretic setting, i.e. wit...
Abstract. This paper slightly improves a classical result by Gangbo and McCann (1996) about the stru...
We consider the Monge-Kantorovich transport problem in a purely measure the-oretic setting, i.e. wit...
Let (X,d,m) be a proper, non-branching, metric measure space. We show existence and uniqueness of op...
In the setting of the optimal transportation problem we provide some conditions which ensure the exi...
This paper deals with the existence of optimal transport maps for some optimal transport problems wi...
We show the existence of optimal transport maps in the case when the cost function is the distance i...
This paper deals with the existence of optimal transport maps for some optimal transport problems wi...
Abstract. We study Monge’s optimal transportation problem, where the cost is given by optimal contro...
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
This note describes some recent results on the regularity of optimal transport maps. As we shall see...
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
summary:In the setting of the optimal transportation problem we provide some conditions which ensure...
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