Harold Widom's work in random matrix theory
Mathematical Physics
2022-01-19 v1 math.MP
Probability
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.
Cite
@article{arxiv.2201.05665,
title = {Harold Widom's work in random matrix theory},
author = {Ivan Corwin and Percy Deift and Alexander Its},
journal= {arXiv preprint arXiv:2201.05665},
year = {2022}
}
Comments
16 pages, 4 figures. To appear in Bull. Amer. Math. Soc. 59 (2022), no. 2