Gaussian estimates for symmetric simple exclusion processes

Mathematics – Probability

Scientific paper

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Scientific paper

We prove Gaussian tail estimates for the transition probability of $n$
particles evolving as symmetric exclusion processes on $\bb Z^d$, improving
results obtained in \cite{l}. We derive from this result a non-equilibrium
Boltzmann-Gibbs principle for the symmetric simple exclusion process in
dimension 1 starting from a product measure with slowly varying parameter.

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