@article{c909c52cb73046e581a62f5a45c24d9b,

title = "HAROLD WIDOM{\textquoteright}S WORK IN RANDOM MATRIX THEORY",

abstract = "This is a survey of Harold Widom{\textquoteright}s work in random matrices. We start with his pioneering papers on the sine-kernel determinant, continue with his and Craig Tracy{\textquoteright}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{\textquoteright}s remarkable work on the asymmetric simple exclusion process.",

keywords = "Painleve equations, Random matrices, integrable systems, interacting particle systems",

author = "Corwin, {Ivan Z.} and Deift, {Percy A.} and Its, {Alexander R.}",

note = "Funding Information: Received by the editors July 8, 2021. 2020 Mathematics Subject Classification. Primary 60B20; Secondary 34M55, 82C22. Key words and phrases. Random matrices, integrable systems, Painlev{\'e}equations, interacting particle systems. This work was supported in part by the National Science Foundation through grants DMS:1937254, DMS:1811143, DMS:1664650 of the first author, DMS:1001886 of the second author, and DMS:1001777, DMS:1955265 of the third author. The first author is also supported through a Packard Fellowship in Science and Engineering and a W.M. Keck Foundation Science and Engineering Grant. Publisher Copyright: {\textcopyright} 2022 American Mathematical Society. All Rights Reserved.",

year = "2022",

doi = "10.1090/bull/1757",

language = "English (US)",

volume = "59",

pages = "155--173",

journal = "Bulletin of the American Mathematical Society",

issn = "0273-0979",

publisher = "American Mathematical Society",

number = "2",

}