1 citations · 1 across the 7 of their papers we have counts for
11 papers
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 the quadratic random matching problem in two-dimensional domains
Luigi Ambrosio, Michael Goldman, Dario Trevisan
We investigate the average minimum cost of a bipartite matching, with respect to the squared Euclidean distance, between two samples of n i.i.d. random points on a bounded Lipschit…
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…
Lie brackets of nonsmooth vector fields and commutation of their flows
Chiara Rigoni, Eugene Stepanov, Dario Trevisan
It is well-known that the flows generated by two smooth vector fields commute, if the Lie bracket of these vector fields vanishes. This assertion is known to extend to Lipschitz co…
Towards geometric integration of rough differential forms
Eugene Stepanov, Dario Trevisan
We provide a draft of a theory of geometric integration of rough differential forms which are generalizations of classical (smooth) differential forms to similar objects with very…
Integration of nonsmooth -forms: from Young to Itô and Stratonovich
Giovanni Alberti, Eugene Stepanov, Dario Trevisan
We show that geometric integrals of the type can be defined over a two-dimensional domain when the functions , , $g^2\colon \mathbb{R}^…