16 citations · 22 across the 5 of their papers we have counts for
4 papers · 1 filter
Eyring-Kramers formula for the mean exit time of non-Gibbsian elliptic processes: the non characteristic boundary case
Dorian Le Peutrec, Laurent Michel, Boris Nectoux
In this work, we derive a new sharp asymptotic equivalent in the small temperature regime for the mean exit time from a bounded domain for the non-reversible process $dX\_…
Bar codes of persistent cohomology and Arrhenius law for p-forms
Dorian Le Peutrec, Francis Nier, C. Viterbo
This article shows that counting or computing the small eigenvalues of the Witten Laplacian in the semi-classical limit can be done without assuming that the potential is a Morse f…
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points
Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1
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(…
Repartition of the quasi-stationary distribution and first exit point density for a double-well potential
Dorian Le Peutrec, Boris Nectoux
Let f : R d R be a smooth function and (Xt) t0 be the stochastic process solution to the overdamped Langevin dynamics dXt = ----f (Xt)dt + $\sqrt$ h dBt. Let …