6 citations · 6 across the 2 of their papers we have counts for
6 papers
Eyring-Kramers type formulas for some piecewise deterministic Markov processes
Dorian Le Peutrec, Laurent Michel, Boris Nectoux
In this work, we give sharp asymptotic equivalents in the small temperature regime of the smallest eigenvalues of the generator of some piecewise deterministic Markov processes (in…
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…
Sharp spectral asymptotics for non-reversible metastable diffusion processes
Dorian Le Peutrec, Laurent Michel
Let be a smooth vector field and consider the associated overdamped Langevin equation in the low tempera…
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(…
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 …
Small noise spectral gap asymptotics for a large system of nonlinear diffusions
Giacomo Di Gesù, Dorian Le Peutrec
We study the spectral gap of a large system of strongly coupled diffusions on unbounded state space and subject to a double-well potential. This system can be seen as a spati…