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math.PR2023★ 1 cited
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.PR2023
Recent advances in the long-time analysis of killed degenerate processes and their particle approximation
Bertrand Cloez, Lucas Journel, Pierre Monmarché +2
We review some recent results of quantitative long-time convergence for the law of a killed Markov process conditioned to survival toward a quasi-stationary distribution, and on th…