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20162026
most citedJump Markov models and transition state theory: the Quasi-Stationary Distribution approach

45 citations · 59 across the 12 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.SP2019★ 8 cited

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 $…

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 …