Speaker
Benjamin Gess
(Technische Universität Berlin and Max Planck Institute for Mathematics in the Sciences)
Description
We consider stochastic McKean–Vlasov equations whose deterministic dynamics can exhibit phase transitions and nonuniform equilibria. We establish that under suitable assumptions, sufficiently strong divergence-free transport noise makes the Dirac mass at the homogeneous density the unique invariant probability measure. The proof combines enhanced dissipation, local Eulerian stability through a negative top Lyapunov exponent, and global accessibility through mixing and a support theorem. Joint work with Rishabh S. Gvalani and Adrian Martini.