82 citations · 753 across the 71 of their papers we have counts for
9 papers · 1 filter
Boltzmann games in heterogeneous consensus dynamics
Giacomo Albi, Lorenzo Pareschi, Mattia Zanella
We consider a constrained hierarchical opinion dynamics in the case of leaders' competition and with complete information among leaders. Each leaders' group tries to drive the foll…
Particle based gPC methods for mean-field models of swarming with uncertainty
J. A. Carrillo, L. Pareschi, M. Zanella
In this work we focus on the construction of numerical schemes for the approximation of stochastic mean--field equations which preserve the nonnegativity of the solution. The metho…
Hybrid stochastic kinetic description of two-dimensional traffic dynamics
Michael Herty, Andrea Tosin, Giuseppe Visconti +1
In this work we present a two-dimensional kinetic traffic model which takes into account speed changes both when vehicles interact along the road lanes and when they change lane. A…
Boltzmann-type models with uncertain binary interactions
Andrea Tosin, Mattia Zanella
In this paper we study binary interaction schemes with uncertain parameters for a general class of Boltzmann-type equations with applications in classical gas and aggregation dynam…
Control strategies for road risk mitigation in kinetic traffic modelling
Andrea Tosin, Mattia Zanella
In this paper we present a Boltzmann-type kinetic approach to the modelling of road traffic, which includes control strategies at the level of microscopic binary interactions aimed…
Uncertainty quantification for kinetic models in socio-economic and life sciences
Giacomo Dimarco, Lorenzo Pareschi, Mattia Zanella
Kinetic equations play a major rule in modeling large systems of interacting particles. Recently the legacy of classical kinetic theory found novel applications in socio-economic a…