论文标题

SSEP的中度偏差较慢

Moderate Deviations for the SSEP with a Slow Bond

论文作者

Xue, Xiaofeng, Zhao, Linjie

论文摘要

我们考虑具有缓慢键的一维对称简单排除过程。在此模型中,粒子以$ n^2 $的价格交叉每个债券,除了一种特定的债券,即慢速债券,速率为$ n $。上面,$ n $是缩放参数。在流体动力学限制,波动和较大偏差的背景下考虑了该模型。我们研究了与流体动力学的中等偏差,并获得了中等偏差原理。

We consider the one dimensional symmetric simple exclusion process with a slow bond. In this model, particles cross each bond at rate $N^2$, except one particular bond, the slow bond, where the rate is $N$. Above, $N$ is the scaling parameter. This model has been considered in the context of hydrodynamic limits, fluctuations and large deviations. We investigate moderate deviations from hydrodynamics and obtain a moderate deviation principle.

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