3 citations · 4 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Regularity and long time behavior of one-dimensional first-order mean field games and the planning problem
Nikiforos Mimikos-Stamatopoulos, Sebastian Munoz
We study the regularity and long time behavior of the one-dimensional, local, first-order mean field games system and the planning problem, assuming a Hamiltonian of superlinear gr…
Classical solutions to local first-order extended mean field games
Sebastian Munoz
We study the existence of classical solutions to a broad class of local, first order, forward-backward Extended Mean Field Games systems, that includes standard Mean Field Games, M…
Classical and weak solutions to local first-order mean field games through elliptic regularity
Sebastian Munoz
We study the regularity and well-posedness of the local, first-order forward-backward mean field games system, assuming a polynomially growing cost function and a Hamiltonian of qu…
Heat equation and stable minimal Morse functions on real and complex projective spaces
Sebastián Muñoz Muñoz, Alexander Quintero Vélez
Following similar results in arXiv:1301.5934 for flat tori and round spheres, in this paper is presented a proof of the fact that, for "arbitrary" initial conditions , the sol…