HAROLD WIDOM’S WORK IN RANDOM MATRIX THEORY

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

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)155-173
Number of pages19
JournalBulletin of the American Mathematical Society
Volume59
Issue number2
DOIs
StatePublished - 2022

Keywords

  • integrable systems
  • interacting particle systems
  • Painleve equations
  • Random matrices

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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