activity
20072023
most citedGeneralized Wasserstein distance and its application to transport equations with source

193 citations · 487 across the 34 of their papers we have counts for

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Showing 2018Show all

5 papers · 1 filter

math.AP2018★ 1 cited

Leader formation with mean-field birth and death models

Giacomo Albi, Mattia Bongini, Francesco Rossi +1

We provide a mean-field description for a leader-follower dynamics with mass transfer among the two populations. This model allows the transition from followers to leaders and vice…

math.OC2018

A universal gap for non-spin quantum control systems

Jean-Paul Gauthier, Francesco Rossi

We prove the existence of a universal gap for minimum time controllability of finite dimensional quantum systems, except for some basic representations of spin groups. This is equi…

math.DG2018

Generic Singularities of the 3D-Contact sub-Riemannian Conjugate Locus

Benoît Bonnet, Jean-Paul Gauthier, Francesco Rossi

In this paper, we extend and complete the classification of the generic singularities of the 3D-contact sub-Riemmanian conjugate locus in a neighbourhood of the origin.

math.OC2018★ 16 cited

Minimal time for the continuity equation controlled by a localized perturbation of the velocity vector field

Michel Duprez, Morgan Morancey, Francesco Rossi

In this work, we study the minimal time to steer a given crowd to a desired configuration. The control is a vector field, representing a perturbation of the crowd velocity, localiz…

math.AP2018

Measure dynamics with Probability Vector Fields and sources

Benedetto Piccoli, Francesco Rossi

We introduce a new formulation for differential equation describing dynamics of measures on an Euclidean space, that we call Measure Differential Equations with sources. They mix t…