4 papers
Homogeneous Boltzmann-type equations on dense graphs
Gabriele Taricco, Andrea Tosin
In kinetic theory, interactions between particles are typically assumed to be "all-to-all", meaning that any pair of randomly selected particles may, in principle, interact. This a…
Homogeneous Boltzmann-type equations on graphs: A framework for modelling networked social interactions
Andrea Tosin
Homogeneous Boltzmann-type equations are an established tool for modelling interacting multi-agent systems in sociophysics by means of the principles of statistical mechanics and k…
Linear inelastic kinetic equations modelling the spread of fake news and its interplay with personal awareness
Martina Fraia, Nadia Loy, Andrea Tosin
In this paper, we introduce a kinetic model which describes a learning process leading individuals to build personal awareness about fake news. Next, we embed the results of this m…
Essentials of the kinetic theory of multi-agent systems
Nadia Loy, Andrea Tosin
In this paper, we present a critical collection of essential mathematical tools and techniques for the analysis of Boltzmann-type kinetic equations, which in recent years have esta…