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math.PR2024
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…
math.PR2024
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…
math.PR2024
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…