Dipartimento di Matematica, Sapienza Università di Roma
Martedì 22 novembre
Ore 14:00, Aula di Consiglio
Seminario di Probabilità e Statistica Matematica
Carlo Orrieri, Dipartimento di Matematica, Sapienza Università di Roma
*Controlled Vlasov-type dynamics*
*Abstract: The aim of the talk is to connect the optimal control of
Vlasov-type PDEs with large systems of controlled interacting
particles/agents. The main difference towards the classical mean-field
theory, where the particle are freely interacting with each other, is the
presence of a central planner influencing the dynamics. In this
situation it is not obvious that the mean field limit should commute with
the optimization. In order to develop a rigorous limit theory for this
problem we employ the well-known concept of Gamma convergence.*
*The talk is based on a work in project with M. Fornasier, S. Lisini and G.
Savaré*
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