HAROLD WIDOM’S WORK IN RANDOM MATRIX THEORY

Ivan Z. Corwin; Percy A. Deift; Alexander R. Its

doi:10.1090/bull/1757

HAROLD WIDOM’S WORK IN RANDOM MATRIX THEORY

Ivan Z. Corwin, Percy A. Deift, Alexander R. Its

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	155-173
Number of pages	19
Journal	Bulletin of the American Mathematical Society
Volume	59
Issue number	2
DOIs	https://doi.org/10.1090/bull/1757
State	Published - 2022

Keywords

Painleve equations
Random matrices
integrable systems
interacting particle systems

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/bull/1757

Cite this

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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.",

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

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KW - interacting particle systems

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HAROLD WIDOM’S WORK IN RANDOM MATRIX THEORY

Abstract

Keywords

ASJC Scopus subject areas

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