Open Access
2024 Sample path MDP for the current and the tagged particle in the SSEP
Xiaofeng Xue, Linjie Zhao
Author Affiliations +
Electron. J. Probab. 29: 1-39 (2024). DOI: 10.1214/24-EJP1155

Abstract

We prove sample path moderate deviation principles (MDP) for the current and the tagged particle in the symmetric simple exclusion process, which extends the results in [39], where the MDP was only proved at any fixed time.

Funding Statement

Supported by the National Natural Science Foundation of China with grant numbers 11971038 and 12371142, and the Fundamental Research Funds for the Central Universities in China.

Citation

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Xiaofeng Xue. Linjie Zhao. "Sample path MDP for the current and the tagged particle in the SSEP." Electron. J. Probab. 29 1 - 39, 2024. https://doi.org/10.1214/24-EJP1155

Information

Received: 17 January 2024; Accepted: 2 June 2024; Published: 2024
First available in Project Euclid: 20 June 2024

Digital Object Identifier: 10.1214/24-EJP1155

Subjects:
Primary: 60F10 , 60K35

Keywords: current , Exclusion process , Moderate deviations , sample path , Tagged particle

Vol.29 • 2024
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