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math.PR2026
Asymptotic stability and cut-off phenomenon for the underdamped Langevin dynamics
Seungwoo Lee, Mouad Ramil, Insuk Seo
In this article, we provide detailed analysis of the long-time behavior of the underdamped Langevin dynamics. We first provide a necessary condition guaranteeing that the zero-nois…
math.PR2026
Eyring-Kramers Law for the Underdamped Langevin Process
Seungwoo Lee, Mouad Ramil, Insuk Seo
Consider the underdamped Langevin process in . We derive the low-temperature asymptotic of its mean-transition time between basins of attract…
math.PR2024
Quasi-stationary distribution for kinetic SDEs with low regularity coefficients
Nicolas Champagnat, Tony Lelièvre, Mouad Ramil +2
We consider kinetic SDEs with low regularity coefficients in the setting recently introduced in [6]. For the solutions to such equations, we first prove a Harnack inequality. Using…