187 citations · 558 across the 21 of their papers we have counts for
17 papers · 1 filter
Hydrodynamic limit and cutoff for the biased adjacent walk on the simplex
Cyril Labbé, Enguérand Petit
We investigate the asymptotic in of the mixing times of a Markov dynamics on ordered particles in an interval. This dynamics consists in resampling at independent Poisson…
Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in
Yueh-Sheng Hsu, Cyril Labbé
We consider the continuous Anderson Hamiltonian with white noise potential on in dimension , and derive the asymptotic of the smallest eigenvalues when g…
Universal cutoff for Dyson Ornstein Uhlenbeck process
Jeanne Boursier, Djalil Chafaï, Cyril Labbé
We study the Dyson-Ornstein-Uhlenbeck diffusion process, an evolving gas of interacting particles. Its invariant law is the beta Hermite ensemble of random matrix theory, a non-pro…
The delocalized phase of the Anderson Hamiltonian in -d
Laure Dumaz, Cyril Labbé
We introduce a random differential operator, that we call the operator, whose spectrum is given by the $\mbox{Sch}_τ$ point process introduced by Kritchevski, Valkó…
Localization crossover for the continuous Anderson Hamiltonian in -d
Laure Dumaz, Cyril Labbé
We investigate the behavior of the spectrum of the continuous Anderson Hamiltonian , with white noise potential, on a segment whose size is sent to infinity. We…
Spectral gap and cutoff phenomenon for the Gibbs sampler of interfaces with convex potential
Pietro Caputo, Cyril Labbé, Hubert Lacoin
We consider the Gibbs sampler, or heat bath dynamics associated to log-concave measures on describing interfaces with convex potentials. Under minimal assu…