Moderate deviation principles for the current and the tagged particle in the WASEP
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915325018112000 |
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| author | Xue, Xiaofeng Zhao, Linjie |
| author_facet | Xue, Xiaofeng Zhao, Linjie |
| contents | We study the weakly asymmetric simple exclusion process in one dimension. We prove sample path moderate deviation principles for the current and the tagged particle when the process starts from one of its stationary measures. We simplify the proof in our previous works [Xue and Zhao, Electronic Journal of Probability, 2024] and [Xue and Zhao, Stochastic Processes and their Applications, 2023], where the same problem was investigated in the symmetric simple exclusion process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03924 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moderate deviation principles for the current and the tagged particle in the WASEP Xue, Xiaofeng Zhao, Linjie Probability We study the weakly asymmetric simple exclusion process in one dimension. We prove sample path moderate deviation principles for the current and the tagged particle when the process starts from one of its stationary measures. We simplify the proof in our previous works [Xue and Zhao, Electronic Journal of Probability, 2024] and [Xue and Zhao, Stochastic Processes and their Applications, 2023], where the same problem was investigated in the symmetric simple exclusion process. |
| title | Moderate deviation principles for the current and the tagged particle in the WASEP |
| topic | Probability |
| url | https://arxiv.org/abs/2506.03924 |