Integral formulas of ASEP and q-TAZRP on a ring

Abstract

In this paper, we obtain the transition probability formulas for the Asymmetric Simple Exclusion Process (ASEP) and the q-deformed Totally Asymmetric Zero Range Process (q-TAZRP) on the ring by applying the coordinate Bethe ansatz. We also compute the distribution function for a tagged particle with general initial condition.

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