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math.PR2022
Explicit and sharp two-sided estimates for the killed Langevin process
Mouad Ramil
We prove explicit and sharp two-sided estimates for the transition density of the Langevin process with quadratic potential, killed outside of the position interval (0,1). The long…
math.PR2022★ 1 cited
Estimation of statistics of transitions and Hill relation for Langevin dynamics
Tony Lelièvre, Mouad Ramil, Julien Reygner
In molecular dynamics, statistics of transitions, such as the mean transition time, are macroscopic observables which provide important dynamical information on the underlying micr…