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Moderate deviation principles for the WASEP

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arxiv 2405.16151 v1 pith:7OF4T4NZ submitted 2024-05-25 math.PR

Linjie Zhao This is my paper
classification math.PR
keywords deviationmoderateprinciplesprocessapplicationasymmetricasymmetryconstraints
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We study the weakly asymmetric simple exclusion process on the integer lattice. Under suitable constraints on the strength of the weak asymmetry of the dynamics, we prove moderate deviation principles for the fluctuation fields when the process starts from stationary measures. As an application, we obtain sample path moderate deviation principles for the occupation time of the process in one dimension.

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  1. Moderate deviation principles for the current and the tagged particle in the WASEP

    math.PR 2025-06 conditional novelty 6.0 of 10

    For the 1D WASEP, the rescaled current and tagged particle satisfy sample path moderate deviation principles with speed a_n^2/n and explicit rate functions for β<1 and β>1.

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