Abstract

The simple exclusion process as seen from a tagged particle is studied. The set of translation invariant and invariant measures for this process is determined in the translation invariant case on $\mathbb{Z}^d$. The set of all invariant measures is determined in the nearest neighbor asymmetric case on $\mathbb{Z}$. The domains of attraction of the invariant measures are established in the one-dimensional nearest neighbor translation invariant case.

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