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Annealed quantitative estimates for the quadratic 2D-discrete random matching problem

Annealed quantitative estimates for the quadratic 2D-discrete random matching problem

We study a random matching problem on closed compact 2-dimensional Riemannian manifolds (with respect to the squared Riemannian distance), with samples of random points whose common law is absolutely continuous with respect to the volume measure with strictly positive and bounded density. We show that given two sequences of numbers …