论文标题
麦克唐纳级的beta合奏和大N极限过渡的扩展
Macdonald-level extension of beta ensembles and large-N limit transition
论文作者
论文摘要
我们介绍并研究了一个$(Q,t)$ - 变形离散$ n $ n $ - 粒子beta beta emembles的家庭,其中$ q $和$ t $是麦克唐纳多项式的参数。主要结果是存在很大的$ n $限制过渡,导致无限多个粒子的随机点过程。
We introduce and study a family of $(q,t)$-deformed discrete $N$-particle beta ensembles, where $q$ and $t$ are the parameters of Macdonald polynomials. The main result is the existence of a large-$N$ limit transition leading to random point processes with infinitely many particles.