哈罗德·维多姆在随机矩阵理论中的工作

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society Pub Date : 2022-01-14 DOI:10.1090/bull/1757

Ivan Corwin, P. Deift, A. Its

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引用次数: 1

摘要

这是对Harold Widom在随机矩阵方面的工作的综述。我们从他关于正弦核行列式的开创性论文开始，继续他和Craig Tracy关于随机矩阵理论分布函数的开创性结果，触及Tracy–Widom分布在数学和物理学中的显著普遍性，并结束Tracy和Widom关于非对称简单排他过程的显著工作。

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Harold Widom’s work in random matrix theory

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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来源期刊

Bulletin of the American Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.