Tagged particle fluctuations for TASEP with dynamics restricted by a moving wall
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916926225121280 |
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| author | Ferrari, Patrik L. Gernholt, Sabrina |
| author_facet | Ferrari, Patrik L. Gernholt, Sabrina |
| contents | We consider the totally asymmetric simple exclusion process on $\Z$ with step initial condition and with the presence of a rightward-moving wall that prevents the particles from jumping. This model was first studied in [Borodin-Bufetov-Ferrari'21]. We extend their work by determining the limiting distribution of a tagged particle in the case where the wall has influence on its fluctuations in neighbourhoods of multiple macroscopic times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05366 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tagged particle fluctuations for TASEP with dynamics restricted by a moving wall Ferrari, Patrik L. Gernholt, Sabrina Probability Mathematical Physics We consider the totally asymmetric simple exclusion process on $\Z$ with step initial condition and with the presence of a rightward-moving wall that prevents the particles from jumping. This model was first studied in [Borodin-Bufetov-Ferrari'21]. We extend their work by determining the limiting distribution of a tagged particle in the case where the wall has influence on its fluctuations in neighbourhoods of multiple macroscopic times. |
| title | Tagged particle fluctuations for TASEP with dynamics restricted by a moving wall |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2403.05366 |