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math.AP2020★ 6 cited
Bar codes of persistent cohomology and Arrhenius law for p-forms
Dorian Le Peutrec, Francis Nier, C. Viterbo
This article shows that counting or computing the small eigenvalues of the Witten Laplacian in the semi-classical limit can be done without assuming that the potential is a Morse f…
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 …