814 citations · 2.5k across the 69 of their papers we have counts for
18 papers · 1 filter
A measure model for the spread of viral infections with mutations
Xiaoqian Gong, Benedetto Piccoli
Genetic variations in the COVID-19 virus are one of the main causes of the COVID-19 pandemic outbreak in 2020 and 2021. In this article, we aim to introduce a new type of model, a…
Control of collective dynamics with time-varying weights
Nastassia Duteil, Benedetto Piccoli
This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective i…
Mean-field limit of a hybrid system for multi-lane multi-class traffic
Xiaoqian Gong, Benedetto Piccoli, Giuseppe Visconti
This article aims to study coupled mean-field equation and ODEs with discrete events motivated by vehicular traffic flow. Precisely, multi-lane traffic flow in presence of human-dr…
A Wasserstein norm for signed measures, with application to nonlocal transport equation with source term
Benedetto Piccoli, Francesco Rossi, Magali Tournus
We introduce the optimal transportation interpretation of the Kantorovich norm on thespace of signed Radon measures with finite mass, based on a generalized Wasserstein distancefor…
A multiscale model for traffic regulation via autonomous vehicles
Mauro Garavello, Paola Goatin, Thibault Liard +1
Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODE…
Superposition principle and schemes for Measure Differential Equations
Fabio Camilli, Giulia Cavagnari, Raul De Maio +1
Measure Differential Equations (MDE) describe the evolution of probability measures driven by probability velocity fields, i.e. probability measures on the tangent bundle. They are…