3 papers
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…
math.PR2023
Exit time and principal eigenvalue of non-reversible elliptic diffusions
Dorian Le Peutrec, Laurent Michel, Boris Nectoux
In this work, we analyse the metastability of non-reversible diffusion processes on a bounded domain when admits the d…
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…