English

Universality of the distribution functions of random matrix theory

solv-int 2007-05-23 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

This paper first surveys the connection of integrable systems of the Painleve type to various distribution functions appearing in Wigner-Dyson random matrix theory. A short discussion is then given of the appearance of these same distributions in other areas of mathematics.

Keywords

Cite

@article{arxiv.solv-int/9901003,
  title  = {Universality of the distribution functions of random matrix theory},
  author = {Craig A. Tracy and Harold Widom},
  journal= {arXiv preprint arXiv:solv-int/9901003},
  year   = {2007}
}

Comments

11 pages, 3 figures