Dorian Le Peutrec

activity

20172022

most citedSmall eigenvalues of the Witten Laplacian with Dirichlet boundary conditions: the case with critical points on the boundary

8 citations · 10 across the 6 of their papers we have counts for

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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 $Ω$ of the stochastic process $(X_{t})_{t \geq 0}$ solution to the overdamped Langevin dynamics $$d X_t = -\nabla f(…

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…

math.AP2017★ 2 cited

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 $d X_{t} = - \nabla f (X_{t}) d t + h d B_{t}$ . Using tools from semiclassical analysis, we prov…