111 citations · 219 across the 16 of their papers we have counts for
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Sharp freezing time estimates for the subcritical Facilitated Exclusion Process
Oriane Blondel, Clément Erignoux, Seonwoo Kim +1
We investigate the exact transience time of the Facilitated Exclusion Process (FEP) on the one-dimensional torus with sites. The FEP exhibits an active/inactive phase transitio…
Cutoff for the transience and mixing time of a SSEP with traps and consequences on the FEP
Clément Erignoux, Brune Massoulié
We introduce a new particle system that we call the SSEP with traps, which is non reversible, attractive, and has a transient regime. We study its \emph{transience time} , mea…
Hydrodynamic limit for an open facilitated exclusion process with slow and fast boundaries
Hugo Da Cunha, Clément Erignoux, Marielle Simon
We study the symmetric facilitated exclusion process (FEP) on the finite one-dimensional lattice when put in contact with boundary reservoirs, whose a…
Stationary fluctuations for the facilitated exclusion process
Clément Erignoux, Linjie Zhao
We derive the stationary fluctuations for the Facilitated Exclusion Process (FEP) in one dimension in the symmetric, weakly asymmetric and asymmetric cases. Our proof relies on the…
Mapping hydrodynamics for the facilitated exclusion and zero-range processes
Clément Erignoux, Marielle Simon, Linjie Zhao
We derive the hydrodynamic limit for two degenerate lattice gases, the \emph{facilitated exclusion process} (FEP) and the \emph{facilitated zero-range process} (FZRP), both in the…
Asymmetric attractive zero-range processes with particle destruction at the origin
Marielle Simon, Linjie Zhao, Clément Erignoux
We investigate the macroscopic behavior of asymmetric attractive zero-range processes on where particles are destroyed at the origin at a rate of order , where $β…
Steady state large deviations for one-dimensional, symmetric exclusion processes in weak contact with reservoirs
A. Bouley, C. Erignoux, C. Landim
Consider the symmetric exclusion process evolving on an interval and weakly interacting at the end-points with reservoirs. Denote by its dynamical large deviati…
Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part II, below the critical regime
Clément Erignoux, Patricia Gonçalves, Gabriel Nahum
The purpose of this article is to provide a simple proof of the hydrodynamic and hydrostatic behavior of the SSEP in contact with reservoirs which inject and remove particles in a…
Stefan problem for a non-ergodic facilitated exclusion process
Oriane Blondel, Clément Erignoux, Marielle Simon
We consider the facilitated exclusion process, which is a nonergodic, kinetically constrained exclusion process. We show that in the hydrodynamic limit, its macroscopic behavior is…
Hydrodynamic limit for a facilitated exclusion process
Oriane Blondel, Clément Erignoux, Makiko Sasada +1
We study the hydrodynamic limit for a periodic -dimensional exclusion process with a dynamical constraint, which prevents a particle at site from jumping to site unl…
Equilibrium fluctuations for the disordered harmonic chain perturbed by an energy conserving noise
Clément Erignoux, Marielle Simon
We investigate the macroscopic behavior of the disordered harmonic chain of oscillators, through energy diffusion. The Hamiltonian dynamics of the system is perturbed by a degenera…