1 citations · 2 across the 3 of their papers we have counts for
6 papers
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…
The stochastic Airy operator at large temperature
Laure Dumaz, Cyril Labbé
It was shown in [J. A. Ramírez, B. Rider and B. Virág. J. Amer. Math. Soc. 24, 919-944 (2011)] that the edge of the spectrum of ensembles converges in the large limit to th…
Mixing time of the adjacent walk on the simplex
Pietro Caputo, Cyril Labbé, Hubert Lacoin
By viewing the -simplex as the set of positions of ordered particles on the unit interval, the adjacent walk is the continuous time Markov chain obtained by updating indep…
The continuous Anderson hamiltonian in
Cyril Labbé
We construct the continuous Anderson hamiltonian on driven by a white noise and endowed with either Dirichlet or periodic boundary conditions. Our construction holds in…