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Fluctuation bounds for the asymmetric simple exclusion process. (English) Zbl 1160.60333
Summary: We give a partly new proof of the fluctuation bounds for the second class particle and current in the stationary asymmetric simple exclusion process. One novelty is a coupling that preserves the ordering of second class particles in two systems that are themselves ordered coordinatewise.

MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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