We prove existence of optimal maps in non branching spaces with Ricci curvature bounded from below. The approach we adopt makes no use of Kantorovich potentials. © 2012 Springer Basel AG
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we prove a s...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K, N) we prove a ...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K, N) we prove a ...
In 1987, Brenier proved the existence and uniqueness of optimal transport maps in the Euclidean spac...
10 pagesWe prove existence and uniqueness of optimal maps on $RCD^*(K,N)$ spaces under the assumptio...
We prove existence and uniqueness of optimal maps on $RCD^*(K,N)$ spaces under the assumption that t...
In this note we prove that in a metric measure space (X,d,m) verifying the measure contraction prope...
In this note we prove that in a metric measure space (X,d,m) verifying the measure contraction prope...
We prove that in metric measure spaces where the entropy functional is Kconvex along every Wasserst...
We prove existence and uniqueness of optimal maps on $RCD^*(K,N)$ spaces under the assumption that t...
We study optimal transportation with the quadratic cost function in geodesic metric spaces satisfyi...
We study optimal transportation with the quadratic cost function in geodesic metric spaces satisfyi...
Let (X,d,m) be a proper, non-branching, metric measure space. We show existence and uniqueness of op...
We give an alternative proof for the fact that in n-dimensional Alexandrov spaces with curvature bou...
— We propose a definition of non-collapsed space with Ricci curvature bounded from below and we prov...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we prove a s...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K, N) we prove a ...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K, N) we prove a ...
In 1987, Brenier proved the existence and uniqueness of optimal transport maps in the Euclidean spac...
10 pagesWe prove existence and uniqueness of optimal maps on $RCD^*(K,N)$ spaces under the assumptio...
We prove existence and uniqueness of optimal maps on $RCD^*(K,N)$ spaces under the assumption that t...
In this note we prove that in a metric measure space (X,d,m) verifying the measure contraction prope...
In this note we prove that in a metric measure space (X,d,m) verifying the measure contraction prope...
We prove that in metric measure spaces where the entropy functional is Kconvex along every Wasserst...
We prove existence and uniqueness of optimal maps on $RCD^*(K,N)$ spaces under the assumption that t...
We study optimal transportation with the quadratic cost function in geodesic metric spaces satisfyi...
We study optimal transportation with the quadratic cost function in geodesic metric spaces satisfyi...
Let (X,d,m) be a proper, non-branching, metric measure space. We show existence and uniqueness of op...
We give an alternative proof for the fact that in n-dimensional Alexandrov spaces with curvature bou...
— We propose a definition of non-collapsed space with Ricci curvature bounded from below and we prov...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we prove a s...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K, N) we prove a ...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K, N) we prove a ...
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