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arXiv math/9903134math.COmath.PR
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形状起伏与随机矩阵

Shape Fluctuations and Random Matrices

Kurt Johansson

摘要:

研究了一类与一维完全非对称排它过程密切相关的二维随机增长模型。结果表明,形状起伏,适当的缩放,收敛于分布的Tracy-Widom最大特征值分布的高斯酉包围。

英文摘要:

We study a certain random groeth 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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