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 | |
State | Published - 2022 |
Keywords
- Painleve equations
- Random matrices
- integrable systems
- interacting particle systems
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics