Limiting distributions for a polynuclear growth model with external sources

被引：213

作者：

Baik, J ^{[1
]}

Rains, EM

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Inst Adv Study, Princeton, NJ 08540 USA

[3] AT&T Res, Florham Park, NJ 07932 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2000年 / 100卷 / 3-4期

关键词：

PNG; ASEP; directed polymer; random matrix; limiting distribution;

D O I：

10.1023/A:1018615306992

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The purpose of this paper is to investigate the limiting distribution functions for a polynuclear growth model with two external sources which was considered by Prahofer and Spohn. Depending on the strength of the sources, the limiting distribution functions are either the Tracy-Widom functions of random matrix theory or a new explicit function which has the special property that its mean is zero. Moreover, we obtain transition functions between pairs of the above distribution functions in suitably scaled limits. There are also similar results for a discrete totally asymmetric exclusion process.

引用

页码：523 / 541

页数：19

共 17 条

[1] On the distribution of the length of the longest increasing subsequence of random permutations [J].