Eyring-Kramers Law for the Underdamped Langevin Process

Seungwoo Lee, Mouad Ramil, Insuk Seo

Consider the underdamped Langevin process $(q(t),p(t){)}_{t\ge 0}$ in ${\mathbb{R}}^d\times {\mathbb{R}}^d$. We derive the low-temperature asymptotic of its mean-transition time between basins of attract…