3 papers
math.NA2026
A Mean Field Games Perspective on Evolutionary Clustering
Alessio Basti, Fabio Camilli, Adriano Festa
We propose a control-theoretic framework for evolutionary clustering based on quasi-stationary Mean Field Games. Each cluster is represented by a probability density whose evolutio…
math.NA2025
Approximation of viscous transport and conservative equations with one sided Lipschitz velocity fields
Fabio Camilli, Adriano Festa, Luciano Marzufero
The aim of this work is to investigate semi-Lagrangian approximation schemes on unstructured grids for viscous transport and conservative equations with measurable coefficients tha…
math.OC2024
A network model for urban planning
Fabio Camilli, Adriano Festa, Luciano Marzufero
We study a mathematical model to describe the evolution of a city, which is determined by the interaction of two large populations of agents, workers and firms. The map of the city…