Nonequilibrium moderate deviations from hydrodynamics of simple exclusion processes

主讲人：薛晓峰

摘要：In this talk, we give the moderate deviation principle from the hydrodynamic limit of the simple exclusion process on 1-dimensional torus starting from a nonequilibrium state, which extends the result given in Gao and Quastel (2003) about the case where the process starts from an equilibrium state. The exponential tightness of the scaled density field of the process and a replacement lemma play key roles in the proof of the main result. We utilize Grownwall’s inequality and the upper bound of the large deviation principle given in Kipnis, Olla and Varadhan (1989) to prove above exponential tightness and replacement lemma respectively in the absence of the invariance of the initial distribution.

主讲人简介：薛晓峰，北京交通大学副教授。研究领域为交互作用粒子系统和图上的马氏过程。在接触过程的临界值估计、流体动力学极限以及中偏差等领域取得很好的成果，在Journal of Statistical Physics, Stochastic Processes and their Applications, Potential Analysis等杂志发表论文三十余篇。

邀请人：赵林杰

时间：2023年7月5日（星期三）10:00-11:30