4 papers
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…
math.AP2020
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 2
Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux
We consider the first exit point distribution from a bounded domain of the stochastic process solution to the overdamped Langevin dynamics $$d X_t = -\nabla f(…
math.SP2016
On Witten Laplacians and Brascamp-Lieb's inequality on manifolds with boundary
Dorian Le Peutrec
In this paper, we derive from the supersymmetry of the Witten Laplacian Brascamp-Lieb's type inequalities for general differential forms on compact Riemannian manifolds with bounda…