Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory
Mathematical Physics
2007-05-23 v1 Classical Analysis and ODEs
math.MP
Representation Theory
Abstract
The authors show that a wide class of Fredholm determinants arising in the representation theory of "big" groups such as the infinite-dimensional unitary group, solve Painleve equations. Their methods are based on the theory of integrable operators and the theory of Riemann-Hilbert problems.
Keywords
Cite
@article{arxiv.math-ph/0111007,
title = {Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory},
author = {Alexei Borodin and Percy Deift},
journal= {arXiv preprint arXiv:math-ph/0111007},
year = {2007}
}
Comments
AMSTeX, 62 pages