3 papers
math.PR2025
Conditional McKean-Vlasov control
René Carmona, Ludovic Tangpi, Kaiwen Zhang
Conditional McKean-Vlasov control problems involve controlling McKean-Vlasov diffusions where the interaction occurs through the law of the state process conditionally on it stayin…
math.FA2025
Kuramoto Mean Field Game with Intrinsic Frequencies
Rene Carmona, Quentin Cormier, Mete Soner
This paper studies a mean field game formulation of the classical Kuramoto model for synchronization. Our model captures the diversity within the population by considering random i…
math.OC2025
Particle Approximation for Conditional Control with Soft Killing
Rene Carmona, Samuel Daudin
The aim of this paper is to develop a particle approximation for the conditional control problem introduced by P.-L. Lions during his lectures at the Collège de France in November…