Controlled interacting particle systems

Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Aula Seminari "-1"
Ore: 11:45

Relatore:

• Carlo Orrieri (Università di Roma la Sapienza)

Abstract:

We want to connect the optimal control of Vlasov-type PDEs with large systems of controlled interacting particles.
The main difference towards the classical mean-field theory is the presence of a central planner influencing the dynamic. In order to rigorously develop a limit theory for this problem we employ the concept of Gamma-convergence.
We finally discuss some connections with large deviations theory.
The talk is mostly based on a joint paper with M. Fornasier, S. Lisini and G. Savare.

Referente: Stefano Bonaccorsi