Sharp spectral asymptotics for non-reversible metastable diffusion processes

Dorian Le Peutrec, Laurent Michel

Let $U_h:{\mathbb{R}}^d\to {\mathbb{R}}^d$ be a smooth vector field and consider the associated overdamped Langevin equation $$d{X}_t=-U_h(X_t)dt+\sqrt{2h}d{B}_t$$ in the low tempera…