111 citations · 219 across the 16 of their papers we have counts for
18 papers
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…
Scaling Relations For The CLG's Critical Exponents
Clément Erignoux, Assaf Shapira, Marielle Simon
We consider, in any dimension, the constrained lattice gas introduced by Rossi et al., which is an exclusion process on a d-dimensional lattice following the additional constraint…
Velocity trapping in the lifted TASEP and the true self-avoiding random walk
Brune Massoulié, Clément Erignoux, Cristina Toninelli +1
We discuss non-reversible Markov-chain Monte Carlo algorithms that, for particle systems, rigorously sample the positional Boltzmann distribution and that have faster than physical…
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 behavior near dynamical criticality of a facilitated conservative lattice gas
Clément Erignoux, Alexandre Roget, Assaf Shapira +1
We investigate a -conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density . We derive the hydrodynamic equation for this mo…
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…