希腊字母在随机楼梯tableaux
Greek letters in random staircase tableaux
摘要：
在本文中，我们研究了一个相对较新的组合对象称为楼梯tableaux。楼梯tableaux介绍了科蒂尔和威廉姆斯在连接与非对称排它过程，并已发现有趣的连接与阿斯基-威尔逊多项式。我们开发了一种概率的方法，使我们能够分析一个随机选择的楼梯tableaux一个给定的大小的几个参数。特别是，我们得到了极限分布与希腊字母的楼梯外观的统计。舞台布景
英文摘要：
In this paper we study a relatively new combinatorial object called staircase tableaux. Staircase tableaux were introduced by Corteel and Williams in the connection with Asymmetric Exclusion Process and has since found interesting connections with Askey - Wilson polynomials. We develop a probabilistic approach that allows us to analyze several parameters of a randomly chosen staircase tableaux of a given size. In particular, we obtain limiting distributions for statistics associated with appearances of Greek letters in staircase. tableaux.
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