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math-ph2025
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…
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…
math-ph2023
Kinetic description and macroscopic limit of swarming dynamics with continuous leader-follower transitions
Emiliano Cristiani, Nadia Loy, Marta Menci +1
In this paper, we derive a kinetic description of swarming particle dynamics in an interacting multi-agent system featuring emerging leaders and followers. Agents are classically c…