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math.AP2026
Renormalization of contact vector fields with horizontal Sobolev regularity in Heisenberg groups
Luigi Ambrosio, Gianluca Somma, Simone Verzellesi +1
In this paper we obtain the well-posedness of the transport and continuity equations in the Heisenberg groups for a class of contact vector fields , under…
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…