# 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} }

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.

## 4 Citations

Current statistics in the q-boson zero range process

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. We study the one-dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super-relaxation regime and part of the relaxation regime.…

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We study the one-dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super-relaxation regime and part of the relaxation regime. MSC…

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The Riemann surface for polylogarithms of half-integer index, which has the topology of an infinite dimensional hypercube, is studied in relation to one-dimensional KPZ universality in finite volume.…

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