Eyring-Kramers exit rates for the overdamped Langevin dynamics: the case with saddle points on the boundary

Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux

Let $(X_t{)}_{t\ge 0}$ be the stochastic process solution to the overdamped Langevin dynamics $$d{X}_t=-\nabla f(X_t)dt+\sqrt{h}d{B}_t$$ and let $\Omega \subset {\mathbb{R}}^d$ be the ba…