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math.PR2015★ 27 cited
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 $…
math.PR2015
Large deviations for the exclusion process with a slow bond
Tertuliano Franco, Adriana Neumann
We consider the one-dimensional symmetric simple exclusion process with a slow bond. In this model, whilst all the transition rates are equal to one, a particular bond, the \emph{s…