论文标题
相互作用的粒子系统和Hecke代数上的随机行走
Interacting particle systems and random walks on Hecke algebras
论文作者
论文摘要
在本文中，我们表明，各种与多种物种的相互作用的粒子系统可以看作是在Hecke代数上随机行走。这类系统包括不对称的简单排除过程（ASEP），M-Oxepusion Tasep，Asep（Q，J），随机顶点模型等。作为应用，我们研究了其中一些系统中二等粒子的渐近行为。
In this paper we show that a variety of interacting particle systems with multiple species can be viewed as random walks on Hecke algebras. This class of systems includes the asymmetric simple exclusion process (ASEP), M-exclusion TASEP, ASEP(q,j), stochastic vertex models, and many others. As an application, we study the asymptotic behavior of second class particles in some of these systems.
