193 citations · 487 across the 34 of their papers we have counts for
42 papers
Jointly Equivariant Dynamics for Interacting Particles
Alain Ajami, Jean-Paul Gauthier, Francesco Rossi
Let a finite set of interacting particles be given, together with a symmetry Lie group . Here we describe all possible dynamics that are jointly equivariant with respect to the…
Obstructions to extension of Wasserstein distances for variable masses
Luca Lombardini, Francesco Rossi
We study the possibility of defining a distance on the whole space of measures, with the property that the distance between two measures having the same mass is the Wasserstein dis…
Vanishing viscosity in mean-field optimal control
Gennaro Ciampa, Francesco Rossi
We show the existence of Lipschitz-in-space optimal controls for a class of mean-field control problems with dynamics given by a non-local continuity equation. The proof relies on…
On the Lebesgue measure of the boundary of the evoluted set
Francesco Boarotto, Laura Caravenna, Francesco Rossi +1
The evoluted set is the set of configurations reached from an initial set via a fixed flow for all times in a fixed interval. We find conditions on the initial set and on the flow…
Generalized solutions to opinion dynamics models with discontinuities
Francesca Ceragioli, Paolo Frasca, Benedetto Piccoli +1
Social dynamics models may present discontinuities in the right-hand side of the dynamics for multiple reasons, including topology changes and quantization. Several concepts of gen…
Variance Optimization and Control Regularity for Mean-Field Dynamics
Benoît Bonnet, Francesco Rossi
We study a family of optimal control problems in which one aims at minimizing a cost that mixes a quadratic control penalization and the variance of the system, both for finitely m…