94 citations · 448 across the 40 of their papers we have counts for
16 papers · 1 filter
Concentration for random Euclidean combinatorial optimization
Matteo D'Achille, Francesco Mattesini, Dario Trevisan
We prove concentration bounds for random Euclidean combinatorial optimization problems with --costs. For bipartite matching and for the (mono- and bi-partite) traveling salesper…
Wasserstein Asymptotics for Brownian Motion on the Flat Torus and Brownian Interlacements
Mauro Mariani, Dario Trevisan
We study the large time behavior of the optimal transportation cost towards the uniform distribution, for the occupation measure of a stationary Brownian motion on the flat torus i…
On the concave one-dimensional random assignment problem and Young integration theory
Michael Goldman, Dario Trevisan
We investigate the one-dimensional random assignment problem in the concave case, i.e., the assignment cost is a concave power function, with exponent , of the distance betw…
Optimal transport methods for combinatorial optimization over two random point sets
Michael Goldman, Dario Trevisan
We investigate the minimum cost of a wide class of combinatorial optimization problems over random bipartite geometric graphs in where the edge cost between two poin…
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…
Viscosity solutions of Hamilton-Jacobi equation in spaces and applications to large deviations
Nicola Gigli, Luca Tamanini, Dario Trevisan
The aim of this paper is twofold. - In the setting of RCD(K,) metric measure spaces, we derive uniform gradient and Laplacian contraction estimates along solutions of the v…
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…
A Benamou-Brenier formulation of martingale optimal transport
Martin Huesmann, Dario Trevisan
We introduce a Benamou-Brenier formulation for the continuous-time martingale optimal transport problem as a weak length relaxation of its discrete-time counterpart. By the corresp…
A PDE approach to a 2-dimensional matching problem
Luigi Ambrosio, Federico Stra, Dario Trevisan
We prove asymptotic results for 2-dimensional random matching problems. In particular, we obtain the leading term in the asymptotic expansion of the expected quadratic transportati…
A particle system approach to cell-cell adhesion models
Mikhail Neklyudov, Dario Trevisan
We investigate micro-to-macroscopic derivations in two models of living cells, in presence to cell-cell adhesive interactions. We rigorously address two PDE-based models, one featu…
Well-posedness of Multidimensional Diffusion Processes with Weakly Differentiable Coefficients
Dario Trevisan
We investigate well-posedness for martingale solutions of stochastic differential equations, under low regularity assumptions on their coefficients, widely extending some results f…
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…
BV-capacities on Wiener Spaces and Regularity of the Maximum of the Wiener Process
Dario Trevisan
We define a capacity C on abstract Wiener spaces and prove that, for any u with bounded variation, the total variation measure |Du| is absolutely continuous with respect to C: this…
Functions of Bounded Variation on the Classical Wiener Space and an Extended Ocone-Karatzas Formula
Maurizio Pratelli, Dario Trevisan
We prove an extension of the Ocone-Karatzas integral representation, valid for all functions on the classical Wiener space. We establish also an elementary chain rule formula…