3 papers
math.OC2026
The optimal rate of convergence in mean field control via recoupled shadow flows
Sebastian Munoz
We determine the rate of convergence of the value functions of the -particle stochastic optimal control problem to the value function of the corresponding mean field control pro…
math.AP2026
Master equations with an individual noise on finite state graphs
Wilfrid Gangbo, Sebastian Munoz, Jeremy Wu +1
We develop a classical well-posedness and regularity theory on a finite connected weighted graph for an extended mean field game system, its associated master equation, and a Hamil…
math.AP2023
Free boundary regularity and support propagation in mean field games and optimal transport
Pierre Cardaliaguet, Sebastian Munoz, Alessio Porretta
We study the behavior of solutions to the first-order mean field games system with a local coupling, when the initial density is a compactly supported function on the real line. Ou…