Limiting distributions for a polynuclear growth model with external sources
Limiting distributions for a polynuclear growth model with external sources
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DOI：
10.1023/a:1018615306992
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发表时间：
2000-08-01
影响因子：
1.6
通讯作者：
Rains, EM
中科院分区：
文献类型：
--
作者：
Baik, J;Rains, EM
本文研究了Prahofer和Spohn提出的具有两个外源的多核增长模型的极限分布函数。根据源的强度，极限分布函数可以是随机矩阵理论的Tracy-Widom函数，也可以是具有均值为零的特殊性质的新的显式函数。此外，我们得到了上述分布函数对之间的过渡函数在适当的缩放限制。对于离散的完全不对称排斥过程也有类似的结果。
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.