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math.PR2021
Periodicity and longtime diffusion for mean field systems in
Eric Luçon, Christophe Poquet
We study in this paper the longtime behavior of some large but finite populations of interacting stochastic differential equations whose (infinite population) limit Fokker-Planck P…
math.PR2018
Quenched asymptotics for interacting diffusions on inhomogeneous random graphs
Eric Luçon
The aim of the paper is to address the behavior in large population of diffusions interacting on a random, possibly diluted and inhomogeneous graph. This is the natural continuatio…
math.PR2015
Long time dynamics and disorder-induced traveling waves in the stochastic Kuramoto model
Eric Luçon, Christophe Poquet
The aim of the paper is to address the long time behavior of the Kuramoto model of mean-field coupled phase rotators, subject to white noise and quenched frequencies. We analyse th…