A quantitative central limit theorem for the simple symmetric exclusion process
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916344464670720 |
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| author | Gess, Benjamin Konarovskyi, Vitalii |
| author_facet | Gess, Benjamin Konarovskyi, Vitalii |
| contents | A quantitative central limit theorem for the simple symmetric exclusion process (SSEP) on a $d$-dimensional discrete torus is proven. The argument is based on a comparison of the generators of the density fluctuation field of the SSEP and the generalized Ornstein-Uhlenbeck process, as well as on an infinite-dimensional Berry-Essen bound for the initial particle fluctuations. The obtained rate of convergence is optimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01238 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A quantitative central limit theorem for the simple symmetric exclusion process Gess, Benjamin Konarovskyi, Vitalii Probability 60K35, 60F05, 60J25, 60H15 A quantitative central limit theorem for the simple symmetric exclusion process (SSEP) on a $d$-dimensional discrete torus is proven. The argument is based on a comparison of the generators of the density fluctuation field of the SSEP and the generalized Ornstein-Uhlenbeck process, as well as on an infinite-dimensional Berry-Essen bound for the initial particle fluctuations. The obtained rate of convergence is optimal. |
| title | A quantitative central limit theorem for the simple symmetric exclusion process |
| topic | Probability 60K35, 60F05, 60J25, 60H15 |
| url | https://arxiv.org/abs/2408.01238 |