Stationary fluctuations for the WASEP with long jumps and infinitely extended reservoirs
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912149965635584 |
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| author | Chen, Wenxuan Zhao, Linjie |
| author_facet | Chen, Wenxuan Zhao, Linjie |
| contents | We study a weakly asymmetric exclusion process with long jumps and with infinitely many extended reservoirs. We prove that the stationary fluctuations of the process are governed by the generalized Ornstein-Uhlenbeck process or the stochastic Burgers equation with Dirichlet boundary conditions depending on the strength of the asymmetry of the dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07124 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stationary fluctuations for the WASEP with long jumps and infinitely extended reservoirs Chen, Wenxuan Zhao, Linjie Probability We study a weakly asymmetric exclusion process with long jumps and with infinitely many extended reservoirs. We prove that the stationary fluctuations of the process are governed by the generalized Ornstein-Uhlenbeck process or the stochastic Burgers equation with Dirichlet boundary conditions depending on the strength of the asymmetry of the dynamics. |
| title | Stationary fluctuations for the WASEP with long jumps and infinitely extended reservoirs |
| topic | Probability |
| url | https://arxiv.org/abs/2412.07124 |