36 citations · 147 across the 21 of their papers we have counts for
4 papers · 1 filter
The Bennati-Dragulescu-Yakovenko model in the continuous setting: PDE derivation and long-time behavior
Fei Cao, Nadia Loy
In this manuscript, we develop and analyze a continuous version of the well-known Bennati-Dragulescu-Yakovenko (BDY) dollar-exchange discrete model. Starting from the conservative…
A novel linear transport model with distinct scattering mechanisms for direction and speed
Martina Conte, Nadia Loy
We introduce a novel linear transport equation that models the evolution of a one-particle distribution subject to free transport and two distinct scattering mechanisms: one affect…
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…
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…