论文标题
跳远和无限扩展的储层的扩散对称排除的平衡波动
Equilibrium fluctuations for diffusive symmetric exclusion with long jumps and infinitely extended reservoirs
论文作者
论文摘要
我们提供了与无限扩展的储层接触的跳远的扩散对称排除过程的平衡波动的完整描述，并证明它们以各种边界条件的概括性Ornstein-uhlenbeck过程形式，主要取决于储层的强度。在途中，我们还提供了关于Ornstein-Uhlenbeck过程的唯一性的一般性陈述，该过程源自基本相互作用粒子系统的微观动力学，并将其适应我们的研究。
We provide a complete description of the equilibrium fluctuations for diffusive symmetric exclusion processes with long jumps in contact with infinitely extended reservoirs and prove that they behave as generalized Ornstein-Uhlenbeck processes with various boundary conditions, depending mainly on the strength of the reservoirs. On the way, we also give a general statement about uniqueness of the Ornstein-Uhlenbeck process originated by the microscopic dynamics of the underlying interacting particle systems and adapt it to our study.
