3 papers
math.AP2026
Uniqueness of synchronized stationary equilibria in the Kuramoto mean field game
Sebastian Munoz
The stationary Kuramoto mean field game models a population of phase oscillators that form synchronized Nash equilibria above a critical interaction strength. We prove that the syn…
math.AP2026
Optimal regularity at the free boundary in one-dimensional first-order mean field games
Sebastian Munoz
We establish sharp regularity for the value function, the pressure, and the free boundary in one-dimensional first-order mean field games with power coupling and compactly supporte…
math.AP2026
Transporting a Dirac mass in a mean field planning problem
Pierre Cardaliaguet, Sebastian Munoz, Alessio Porretta
We study a mean field planning problem in which the initial density is a Dirac mass. We show that there exists a unique solution which converges to a self-similar profile as time t…