论文标题
随机电报方程式限制的随机高度自旋六个顶点模型
The stochastic telegraph equation limit of the stochastic higher spin six vertex model
论文作者
论文摘要
在本文中，我们证明随机电报方程是随机高旋转六个顶点（SHS6V）模型的缩放限制，该模型具有一般旋转$ i/2，j/2 $。这扩展了Borodin和Gorin的结果，该结果集中在$ i = J = 1 $六个顶点案例上，并在这种情况下演示了随机电报方程的普遍性。我们还提供了在[Borodin和Gorin 2019，定理6.1]中获得的中心极限定理的功能扩展。主要思想是使用融合使用[Borodin和Gorin 2019，定理3.1]中建立的四点关系。
In this paper, we prove that the stochastic telegraph equation arises as a scaling limit of the stochastic higher spin six vertex (SHS6V) model with general spin $I/2, J/2$. This extends results of Borodin and Gorin which focused on the $I=J=1$ six vertex case and demonstrates the universality of the stochastic telegraph equation in this context. We also provide a functional extension of the central limit theorem obtained in [Borodin and Gorin 2019, Theorem 6.1]. The main idea is to generalize the four point relation established in [Borodin and Gorin 2019, Theorem 3.1], using fusion.
