论文标题

Harold Widom在随机矩阵理论中的作品

Harold Widom's work in random matrix theory

论文作者

Corwin, Ivan, Deift, Percy, Its, Alexander

论文摘要

这是对Harold Widom在随机矩阵中工作的调查。我们从他关于正弦核决定因素的开创性论文开始,继续他和克雷格·特雷西(Craig Tracy)关于随机矩阵理论的分布功能的开创性结果,触摸了Tracy-Widom在数学和物理学中的出色分布的非凡普遍性,以及Tracy和Tracy和Widom在非属于无与伦比的简单排除过程中的出色工作。

This is a survey of Harold Widom's work in random matrices. We start with his pioneering papers on the sine-kernel determinant, continue with his and Craig Tracy's groundbreaking results concerning the distribution functions of random matrix theory, touch on the remarkable universality of the Tracy-Widom distributions in mathematics and physics, and close with Tracy and Widom's remarkable work on the asymmetric simple exclusion process.

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