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arXiv · 2104.00661

Upper-tail large deviation principle for the ASEP

Sayan Das·Weitao Zhu
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Abstract

We consider the asymmetric simple exclusion process (ASEP) on $\mathbb{Z}$ started from step initial data and obtain the exact Lyapunov exponents for $H_0(t)$, the integrated current of ASEP. As a corollary, we derive an explicit formula for the upper-tail large deviation rate function for $-H_0(t)$. Our result matches with the rate function for the integrated current of the totally asymmetric simple exclusion process (TASEP) obtained in [Johansson 00](arXiv:math/9903134).

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Sayan Das, Weitao Zhu. 2021-04-01. Upper-tail large deviation principle for the ASEP. https://arxiv.org/abs/2104.00661

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