Upper-tail large deviation principle for the ASEP

被引：3
作者：
Das, Sayan [1 ]
Zhu, Weitao [1 ]
机构：
[1] Columbia Univ, Dept Math, 2990 Broadway, New York, NY 10027 USA
来源：
ELECTRONIC JOURNAL OF PROBABILITY | 2022年 / 27卷
关键词：
ASEP; Lyapunov exponents; large deviations; Fredholm determinants; STOCHASTIC HEAT-EQUATION; INTERMITTENCY; FLUCTUATIONS; MOMENTS; DISTRIBUTIONS; DETERMINANTS; ENERGY; MODEL;
D O I：
10.1214/21-EJP730
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We consider the asymmetric simple exclusion process (ASEP) on 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 [40].
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页数：34
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