Shape fluctuations and random matrices
Shape fluctuations and random matrices
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DOI：
10.1007/s002200050027
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发表时间：
2000-02-01
影响因子：
2.4
通讯作者：
Johansson, K
中科院分区：
文献类型：
--
作者：
Johansson, K
研究了与一维完全不对称排斥过程密切相关的二维随机增长模型。结果表明，对于高斯酉系综而言，适当尺度的形状涨落在分布上收敛于Tracy-Widom最大本征值分布。
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).