论文标题
介绍Dasep：双重不对称的简单排除过程
Introducing DASEP: the doubly asymmetric simple exclusion process
论文作者
论文摘要
组合学的研究经常探讨了不对称的简单排除过程（ASEP）。来自统计力学的例子的启发，ASEP涉及各种物种周围移动的颗粒。借助给定物种的传统ASEP颗粒可以移动，但不会改变物种。在本文中，探索了一种新的组合形式主义，即Dasep（双重不对称的简单排除过程）。 DASEP的灵感来自生物学过程，与ASEP不同，颗粒可以从一个物种变为另一种物种。探索了DASEP在一个维晶格上的组合物，包括关联的生成函数。探索了DASEP的固定概率，并证明了结果将这些固定概率与简单的ASEP的概率联系起来。
Research in combinatorics has often explored the asymmetric simple exclusion process (ASEP). The ASEP, inspired by examples from statistical mechanics, involves particles of various species moving around a lattice. With the traditional ASEP particles of a given species can move but do not change species. In this paper a new combinatorial formalism, the DASEP (doubly asymmetric simple exclusion process), is explored. The DASEP is inspired by biological processes where, unlike the ASEP, the particles can change from one species to another. The combinatorics of the DASEP on a one dimensional lattice are explored, including the associated generating function. The stationary probabilities of the DASEP are explored, and results are proven relating these stationary probabilities to those of the simpler ASEP.
