The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points

Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1

We consider the first exit point distribution from a bounded domain $\Omega$ of the stochastic process $(X_t{)}_{t\ge 0}$ solution to the overdamped Langevin dynamics $$d X_t = -\nabla f(…