论文标题
马尔可夫链中跳跃颗粒和积极性的组合
The combinatorics of hopping particles and positivity in Markov chains
论文作者
论文摘要
不对称的简单排除过程（ASEP）是蛋白质合成和交通流中翻译的模型。它可以定义为马尔可夫链，描述了在一维晶格上跳跃的颗粒。在本文中，我概述了ASEP与Combinatorics（Tableaux和Multiline队列）和特殊功能（Askey-Wilson多项式，MacDonald多项式和Schubert Polynomials）的固定分布的某些连接。我还对马尔可夫连锁店的积极性进行了一些一般性观察。
The asymmetric simple exclusion process (ASEP) is a model for translation in protein synthesis and traffic flow; it can be defined as a Markov chain describing particles hopping on a one-dimensional lattice. In this article I give an overview of some of the connections of the stationary distribution of the ASEP to combinatorics (tableaux and multiline queues) and special functions (Askey-Wilson polynomials, Macdonald polynomials, and Schubert polynomials). I also make some general observations about positivity in Markov chains.
