발표자 이승우

일시: 2025.06.11 11:30 ~ 12:20

제목: Mixing of underdamped Langevin dynamics: from cut-off to Erying–Kramers formula

초록: The underdamped Langevin dynamics is a stochastic model describing evolution of thermostated molecular dynamics. In this talk, we discuss mixing behavior of the underdamped Langevin dynamics in the low temperature regime. We observe the cut-off phenonmenon when there is only one stable equilibrium, while observe the metastability when there are multiple stable equilibria. We explain quantitatively precise analyses for both cases; the main difficulty of the model is the degeneracy of the generator associated with the underdamped Langevin dynamics.