4 citations · 10 across the 12 of their papers we have counts for
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The strong Brunn--Minkowski inequality and its equivalence with the CD condition
Mattia Magnabosco, Lorenzo Portinale, Tommaso Rossi
In the setting of essentially non-branching metric measure spaces, we prove the equivalence between the curvature dimension condition CD(K,N), in the sense of Lott--Sturm--Villani,…
The Brunn--Minkowski inequality implies the CD condition in weighted Riemannian manifolds
Mattia Magnabosco, Lorenzo Portinale, Tommaso Rossi
The curvature dimension condition CD(K,N), pioneered by Sturm and Lott--Villani, is a synthetic notion of having curvature bounded below and dimension bounded above, in the non-smo…
Optimal transport with nonlinear mobilities: a deterministic particle approximation result
Simone Di Marino, Lorenzo Portinale, Emanuela Radici
We study the discretization of generalized Wasserstein distances with nonlinear mobilities on the real line via suitable discrete metrics on the cone of N ordered particles, a sett…