3 papers
physics.soc-ph2026
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…
math-ph2025
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…
physics.soc-ph2025
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…