3 papers
math.AP2019
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(…
math.AP2019
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 …
math.AP2018
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…