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Wasserstein Asymptotics for the Empirical Measure of Fractional Brownian Motion on a Flat Torus
Martin Huesmann, Francesco Mattesini, Dario Trevisan
We establish asymptotic upper and lower bounds for the Wasserstein distance of any order between the empirical measure of a fractional Brownian motion on a flat torus and…
On Minimum Spanning Trees for Random Euclidean Bipartite Graphs
Mario Correddu, Dario Trevisan
We consider the minimum spanning tree problem on a weighted complete bipartite graph whose vertices are random, i.i.d. uniformly distributed points in th…
On the optimal map in the 2-dimensional random matching problem
Luigi Ambrosio, Federico Glaudo, Dario Trevisan
We show that, on a -dimensional compact manifold, the optimal transport map in the semi-discrete random matching problem is well-approximated in the -norm by identity plus…
Zero noise limits using local times
Dario Trevisan
We consider a well-known family of SDEs with irregular drifts and the correspondent zero noise limits. Using (mollified) local times, we show which trajectories are selected. The a…
BV-regularity for the Malliavin Derivative of the Maximum of the Wiener Process
Dario Trevisan
We prove that, on the classical Wiener space, the random variable admits a measure as second Malliavin derivative, whose total variation measure is finite…