45 citations · 59 across the 12 of their papers we have counts for
7 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\_…
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 $$d X_t = -\nabla f(…
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points
Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1
We consider the first exit point distribution from a bounded domain of the stochastic process solution to the overdamped Langevin dynamics $$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 …
Exit event from a metastable state and Eyring-Kramers law for the overdamped Langevin dynamics
Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux
In molecular dynamics, several algorithms have been designed over the past few years to accelerate the exit event from a metastable region of the configuration space. Some of them…
Sharp estimate of the mean exit time of a bounded domain in the zero white noise limit
Boris Nectoux
We prove a sharp asymptotic formula for the mean exit time from a bounded domain for the overdamped Langevin dynamics $$d X_t = -\nabla f(X_t) d t + \sqrt{2\…