论文标题
Coxeter组对相互作用粒子系统的作用
Coxeter Group Actions on Interacting Particle Systems
论文作者
论文摘要
我们通过将其与Coxeter组的作用相关联，提供了彩色ASEP的颜色位置对称性的概念证明。小组动作（因此颜色位置对称性）也适用于更通用的相互作用粒子系统，例如彩色ASEP（Q，J）或具有开放边界条件的系统。作为一种应用，我们发现ASEP中二等粒子的预期位置的渐近学（Q，J）。
We provide a conceptual proof of the color-position symmetry of colored ASEP by relating it to the actions of Coxeter groups. The group action (and hence the color-position symmetry) also applies to more general interacting particle systems, such as the colored ASEP(q,j) or systems with open boundary conditions. As an application, we find the asymptotics of the expected positions of second-class particles in the ASEP(q,j).
