# Integral Formulas of ASEP and q-TAZRP on a Ring

```@article{Liu2019IntegralFO,
title={Integral Formulas of ASEP and q-TAZRP on a Ring},
author={Zhipeng Liu and Axel Saenz and Dong Wang},
journal={arXiv: Probability},
year={2019}
}```
• Published 8 May 2019
• Mathematics
• arXiv: Probability
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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