96 citations · 386 across the 22 of their papers we have counts for
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Local curvature-dimension condition implies measure-contraction property
Fabio Cavalletti, Karl-Theodor Sturm
We prove that for non-branching metric measure spaces the local curvature condition CDloc(K,N) implies the global version of MCP(K,N). The curvature condition CD(K,N) introduced by…
The Monge problem in Wiener Space
Fabio Cavalletti
We address the Monge problem in the abstract Wiener space and we give an existence result provided both marginal measures are absolutely continuous with respect to the infinite dim…
The Monge Problem for distance cost in geodesic spaces
Stefano Bianchini, Fabio Cavalletti
We address the Monge problem in metric spaces with a geodesic distance: (X, d) is a Polish space and dL is a geodesic Borel distance which makes (X,dL) a non branching geodesic spa…
Optimal transport with branching distance costs and the obstacle problem
Fabio Cavalletti
We address the Monge problem in metric spaces with a geodesic distance: (X, d) is a Polish space and dN is a geodesic Borel distance which makes (X,dN) a possibly branching geodesi…