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math.PR2022
Eyring-Kramers exit rates for the overdamped Langevin dynamics: the case with saddle points on the boundary
Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux
Let be the stochastic process solution to the overdamped Langevin dynamics and let be the ba…
math-ph2022
Eyring-Kramers type formulas for some piecewise deterministic Markov processes
Dorian Le Peutrec, Laurent Michel, Boris Nectoux
In this work, we give sharp asymptotic equivalents in the small temperature regime of the smallest eigenvalues of the generator of some piecewise deterministic Markov processes (in…