45 citations · 59 across the 12 of their papers we have counts for
13 papers
On some topological and spectral properties of kinetic Langevin processes driven by L{é}vy noises
T Batisse, A Guillin, B Nectoux +1
We investigate several fundamental properties of kinetic Langevin processes in , defined as solutions to the following system: $$dx\_t = v\_t \, dt, \qquad dv\_t =…
Eyring-Kramers formula for the mean exit time of non-Gibbsian elliptic processes: the non characteristic boundary case
Dorian Le Peutrec, Laurent Michel, Boris Nectoux
In this work, we derive a new sharp asymptotic equivalent in the small temperature regime for the mean exit time from a bounded domain for the non-reversible process $dX\_…
Exit time and principal eigenvalue of non-reversible elliptic diffusions
Dorian Le Peutrec, Laurent Michel, Boris Nectoux
In this work, we analyse the metastability of non-reversible diffusion processes on a bounded domain when admits the d…
Eyring-Kramers exit rates for the overdamped Langevin dynamics: the case with saddle points on the boundary
Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux
Let be the stochastic process solution to the overdamped Langevin dynamics and let be the ba…
Eyring-Kramers type formulas for some piecewise deterministic Markov processes
Dorian Le Peutrec, Laurent Michel, Boris Nectoux
In this work, we give sharp asymptotic equivalents in the small temperature regime of the smallest eigenvalues of the generator of some piecewise deterministic Markov processes (in…
The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 2
Tony Lelièvre, Dorian Le Peutrec, Boris Nectoux
We consider the first exit point distribution from a bounded domain of the stochastic process solution to the overdamped Langevin dynamics $$d X_t = -\nabla f(…