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arXiv 2412.07124math.PR

带长跳跃和无穷延伸储库的WASEP的平稳涨落

Stationary fluctuations for the WASEP with long jumps and infinitely extended reservoirs

Wenxuan Chen, Linjie Zhao

AI总结:

该研究针对带长跳跃与无穷延伸储库的弱非对称排斥过程,证明其平稳涨落依动力学非对称强度的不同,分别由广义Ornstein-Uhlenbeck过程或带Dirichlet边界条件的随机Burgers方程支配。

摘要:

我们研究了一类带长跳跃且具有无穷多个延伸储库的弱非对称排斥过程。我们证明,该过程的平稳涨落由广义Ornstein-Uhlenbeck过程或带Dirichlet边界条件的随机Burgers方程支配,具体取决于动力学的非对称强度。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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