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.PR2022

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 $(X_{t})_{t \geq 0}$ be the stochastic process solution to the overdamped Langevin dynamics $d X_{t} = - \nabla f (X_{t}) d t + h d B_{t}$ and let $Ω \subset R^{d}$ be the ba…

math.PR2021

Power of the Crowd

Athanasios Batakis, Pierre Debs, Dorian Le Peutrec

Consider an Galton Watson tree of height $m$ : each leaf has one of $k$ opinions or not. In other words, for $i \in {1, ..., k}$ , $x$ at generation $m$ thinks $i$ with probabil…