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math.AP2026
Non-branching properties of Regular Lagrangian Flows and well posedness of the continuity equation in the class of nonnegative solutions
Luigi Ambrosio, Stefano Bianchini, Federico Renzi +1
In this paper we deal with the theory of Regular Lagrangian Flows, as initiated in [29] and axiomatized in [2]. In the first part of the paper we show in Theorem 4.3 (see also Coro…
math.AP2024
Sharp PDE estimates for random two-dimensional bipartite matching with power cost function
Luigi Ambrosio, Federico Vitillaro, Dario Trevisan
We investigate the random bipartite optimal matching problem on a flat torus in two-dimensions, considering general strictly convex power costs of the distance. We extend the succe…