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- W4376653497 abstract "In this paper, 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." @default.
- W4376653497 created "2023-05-17" @default.
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- W4376653497 date "2023-05-13" @default.
- W4376653497 modified "2023-10-16" @default.
- W4376653497 title "Nonequilibrium moderate deviations from hydrodynamics of simple exclusion processes" @default.
- W4376653497 doi "https://doi.org/10.48550/arxiv.2305.08054" @default.
- W4376653497 hasPublicationYear "2023" @default.
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