5 papers
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…
Stability of local Riemannian Ricci curvature lower bounds
Luigi Ambrosio, Francesco Nobili, Federico Renzi +1
We establish the stability of local Riemannian Ricci curvature lower bounds along Gromov-Hausdorff convergence. A central part of our analysis is devoted to showing the stability o…
Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions
Francesco Nobili, Federico Renzi, Federico Vitillaro
We study the Mosco-convergence of Cheeger energies on Gromov-Hausdorff converging spaces satisfying different types of curvature dimension conditions. The case of functions of boun…
The superposition principle for local 1-dimensional currents
Luigi Ambrosio, Federico Renzi, Federico Vitillaro
We prove that every one-dimensional locally normal metric current, intended in the sense of U. Lang and S. Wenger, admits a nice integral representation through currents associated…
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…