Dario Trevisan

activity

20112026

most citedWell posedness of Lagrangian flows and continuity equations in metric measure spaces

94 citations · 448 across the 40 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.FA2019

Integration of nonsmooth $2$ -forms: from Young to Itô and Stratonovich

Giovanni Alberti, Eugene Stepanov, Dario Trevisan

We show that geometric integrals of the type $\int_{Ω} f d g^{1} \land d g^{2}$ can be defined over a two-dimensional domain $Ω$ when the functions $f$ , $g^{1}$ , $g^2\colon \mathbb{R}^…

math-ph2019★ 61 cited

Quantum optimal transport with quantum channels

Giacomo De Palma, Dario Trevisan

We propose a new generalization to quantum states of the Wasserstein distance, which is a fundamental distance between probability distributions given by the minimization of a tran…

math.PR2019

On the optimal map in the 2-dimensional random matching problem

Luigi Ambrosio, Federico Glaudo, Dario Trevisan

We show that, on a $2$ -dimensional compact manifold, the optimal transport map in the semi-discrete random matching problem is well-approximated in the $L^{2}$ -norm by identity plus…

Integration of nonsmooth 2-forms: from Young to Itô and Stratonovich

Quantum optimal transport with quantum channels

On the optimal map in the 2-dimensional random matching problem

Integration of nonsmooth $2$ -forms: from Young to Itô and Stratonovich