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math.PR2023
There is no stationary -cyclically monotone Poisson matching in 2D
Martin Huesmann, Francesco Mattesini, Felix Otto
We show that for there is no -cyclically monotone stationary matching of two independent Poisson processes in dimension . The proof combines the -harmonic approxim…
math.PR2023
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem
Nicolas Clozeau, Francesco Mattesini
We study a random matching problem on closed compact -dimensional Riemannian manifolds (with respect to the squared Riemannian distance), with samples of random points whose com…