论文标题
随机顶点模型的固定分布的分类
Classification of Stationary distributions for the stochastic vertex models
论文作者
论文摘要
在本文中，我们研究了随机顶点模型的固定分布。我们的主要重点是随机六个顶点（S6V）模型。我们表明，S6V模型的极端固定分布由产品Bernoulli测量给出。此外，对于速度$ 1 $的移动框架下的S6V模型，我们表明极端固定分布由产品Bernoulli措施和阻止措施给出。最后，我们将结果推广到随机的高旋转六个顶点模型。我们的证明依赖于[Aggarwal，2020]中引入的S6V模型的耦合，对电流的分析和融合方法。
In this paper, we study the stationary distributions for the stochastic vertex models. Our main focus is the stochastic six vertex (S6V) model. We show that the extremal stationary distributions of the S6V model are given by product Bernoulli measures. Moreover, for the S6V model under a moving frame of speed $1$, we show that the extremal stationary distributions are given by product Bernoulli measures and blocking measures. Finally, we generalize our results to the stochastic higher spin six vertex model. Our proof relies on the coupling of the S6V models introduced in [Aggarwal, 2020], the analysis of current and the method of fusion.
