本文给出了研究定向最后通过渗流模型的各种方法,近来的结果和各种应用以及与随机矩阵的联系.它们之间的联系主要可以通过著名的Tracy—Widom分布和Airy过程的普适性来解释.本文还给出了一些未解决的问题.
This paper is a survey of various techniques, recent results and applications of directed last-passage percolation model and its relation to random matrices. The connection can he explained mainly via the universality of famous Tracy-Widom distribution and Airy process. Some unsolved problems are also surveyed.