Výsledky vyhledávání - "MATTESINI, FRANCESCO"

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

Autor: Clozeau, Nicolas, Mattesini, Francesco

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 wi

Externí odkaz: http://arxiv.org/abs/2303.00353

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Wasserstein Asymptotics for the Empirical Measure of Fractional Brownian Motion on a Flat Torus

Autor: Huesmann, Martin, Mattesini, Francesco, Trevisan, Dario

We establish asymptotic upper and lower bounds for the Wasserstein distance of any order $p\ge 1$ between the empirical measure of a fractional Brownian motion on a flat torus and the uniform Lebesgue measure. Our inequalities reveal an interesting i

Externí odkaz: http://arxiv.org/abs/2205.01025

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There is no stationary cyclically monotone Poisson matching in 2d

Autor: Huesmann, Martin, Mattesini, Francesco, Otto, Felix

We show that there is no cyclically monotone stationary matching of two independent Poisson processes in dimension $d=2$. The proof combines the harmonic approximation result from \cite{GHO} with local asymptotics for the two-dimensional matching pro

Externí odkaz: http://arxiv.org/abs/2109.13590

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