Nonequilibrium fluctuations for the occupation time of the SSEP in $d \geq 2$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912756480868352 |
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| author | Xu, Tiecheng Zhao, Linjie |
| author_facet | Xu, Tiecheng Zhao, Linjie |
| contents | We study the symmetric simple exclusion process in two or higher dimensions. We prove the invariance principles for the occupation time when the process starts from nonequilibrium measures. Our proof combines the martingale method and correlation estimates for the exclusion process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonequilibrium fluctuations for the occupation time of the SSEP in $d \geq 2$ Xu, Tiecheng Zhao, Linjie Probability We study the symmetric simple exclusion process in two or higher dimensions. We prove the invariance principles for the occupation time when the process starts from nonequilibrium measures. Our proof combines the martingale method and correlation estimates for the exclusion process. |
| title | Nonequilibrium fluctuations for the occupation time of the SSEP in $d \geq 2$ |
| topic | Probability |
| url | https://arxiv.org/abs/2512.09424 |