Shape fluctuations and random matrices

被引：923
|
作者：
Johansson, K [1 ]
机构：
[1] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2000年 / 209卷 / 02期
关键词：
D O I：
10.1007/s002200050027
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a certain random growth model in two dimensions closely related to the one-dimensional totally asymmetric exclusion process. The results show that the shape fluctuations, appropriately scaled, converges in distribution to the Tracy-Widom largest eigenvalue distribution for the Gaussian Unitary Ensemble (GUE).
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页码：437 / 476
页数：40
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