For the 1D WASEP, the rescaled current and tagged particle satisfy sample path moderate deviation principles with speed a_n^2/n and explicit rate functions for β<1 and β>1.
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Moderate deviation principles for the current and the tagged particle in the WASEP
For the 1D WASEP, the rescaled current and tagged particle satisfy sample path moderate deviation principles with speed a_n^2/n and explicit rate functions for β<1 and β>1.