28 citations · 107 across the 17 of their papers we have counts for
18 papers
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…
Metastable diffusions with degenerate drifts
Marouane Assal, Jean-Francois Bony, Laurent Michel
We study the spectrum of the semiclassical Witten Laplacian associated to a smooth function on . We assume that is a confining Morse--Bott function.…
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…
Eyring-Kramers law for Fokker-Planck type differential operators
Jean-Francois Bony, Dorian Le Peutrec, Laurent Michel
We consider Fokker-Planck type differential operators associated with general Langevin processes admitting a Gibbs stationary distribution. Under assumptions insuring suitable reso…
Spectral asymptotics for Metropolis algorithm on singular domains
Laurent Michel
We study the Metropolis algorithm on a bounded connected domain of the euclidean space with proposal kernel localized at a small scale . We consider the case of a domain…
Applications of resonance theory without analyticity assumption
Jean-Francois Bony, Laurent Michel, Thierry Ramond
We prove that the results in scattering theory that involve resonances are still valid for non-analytic potentials, even if the notion of resonance is not defined in this setting.…