27 citations · 102 across the 20 of their papers we have counts for
3 papers · 1 filter
The gradient flow approach to hydrodynamic limits for the simple exclusion process
Max Fathi, Marielle Simon
We give a new approach to the well-known convergence to the hydrodynamic limit for the symmetric simple exclusion process (SSEP). More precisely, we characterize any possible limit…
Second order Boltzmann-Gibbs principle for polynomial functions and applications
Patricia Gonçalves, Milton Jara, Marielle Simon
In this paper we give a new proof of the second order Boltzmann-Gibbs principle. The proof does not impose the knowledge on the spectral gap inequality for the underlying model and…
Crossover to the stochastic Burgers equation for the WASEP with a slow bond
Tertuliano Franco, Patricia Gonçalves, Marielle Simon
We consider the weakly asymmetric simple exclusion process in the presence of a slow bond and starting from the invariant state, namely the Bernoulli product measure of parameter $…