Nonequilibrium Central Limit Theorem for a Tagged Particle in Symmetric Simple Exclusion

Mathematics – Probability

Scientific paper

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Scientific paper

We prove a nonequilibirum central limit theorem for the position of a tagged
particle in the one-dimensional nearest-neighbor symmetric simple exclusion
process under diffusive scaling starting from a Bernoulli product measure
associated to a smooth profile $\rho_0:\bb R\to [0,1]$.

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