8 citations · 10 across the 6 of their papers we have counts for
6 papers
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…
Power of the Crowd
Athanasios Batakis, Pierre Debs, Dorian Le Peutrec
Consider an Galton Watson tree of height : each leaf has one of opinions or not. In other words, for , at generation thinks with probabil…
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(…
Small eigenvalues of the Witten Laplacian with Dirichlet boundary conditions: the case with critical points on the boundary
Dorian Le Peutrec, Boris Nectoux
In this work, we give sharp asymptotic equivalents in the limit of the small eigenvalues of the Witten Laplacian, that is the operator associated with the quadratic form $…
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 asymptotics of the first exit point density
Giacomo Di Gesù, Tony Lelièvre, Dorian Le Peutrec +1
We consider the exit event from a metastable state for the overdamped Langevin dynamics . Using tools from semiclassical analysis, we prov…