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math.PR2016
A PDE approach to a 2-dimensional matching problem
Luigi Ambrosio, Federico Stra, Dario Trevisan
We prove asymptotic results for 2-dimensional random matching problems. In particular, we obtain the leading term in the asymptotic expansion of the expected quadratic transportati…
math.MG2016
Weak and strong convergence of derivations and stability of flows with respect to MGH convergence
Luigi Ambrosio, Federico Stra, Dario Trevisan
This paper is devoted to the study of weak and strong convergence of derivations, and of the flows associated to them, when dealing with a sequence of metric measure structures (X,…