5 papers · 1 filter
Dynamical interface above a hard wall and reflected SPDE on the half-line
Pierre Faugère, Cyril Labbé
We consider a dynamical random interface on the infinite lattice evolving according to a "corner flip" dynamic above a hard wall, with an additional pinning at the ori…
Construction and spectrum of the Anderson Hamiltonian with white noise potential on and
Yueh-Sheng Hsu, Cyril Labbé
We propose a simple construction of the Anderson Hamiltonian with white noise potential on and based on the solution theory of the parabolic Anderson…
Top of the spectrum of discrete Anderson Hamiltonians with correlated Gaussian potentials
Giuseppe Cannizzaro, Cyril Labbé, Willem van Zuijlen
We investigate the top of the spectrum of discrete Anderson Hamiltonians with correlated Gaussian noise in the large volume limit. The class of Gaussian noises under consideration…
Convergence of dynamical stationary fluctuations
Cyril Labbé, Benoît Laslier, Fabio Toninelli +1
We present a general black box theorem that ensures convergence of a sequence of stationary Markov processes, provided a few assumptions are satisfied. This theorem relies on a con…
Cutoff phenomenon in nonlinear recombinations
Pietro Caputo, Cyril Labbé, Hubert Lacoin
We investigate a quadratic dynamical system known as nonlinear recombinations. This system models the evolution of a probability measure over the Boolean cube, converging to the st…