Fredholm Determinants, Jimbo-Miwa-Ueno τ-Functions, and Representation Theory

Alexei Borodin; Percy Deift

doi:10.1002/cpa.10042

Fredholm Determinants, Jimbo-Miwa-Ueno τ-Functions, and Representation Theory

Alexei Borodin, Percy Deift

Mathematics

Research output: Contribution to journal › Article › peer-review

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 Painlevé equations. Their methods are based on the theory of integrable operators and the theory of Riemann-Hilbert problems.

Original language	English (US)
Pages (from-to)	1160-1230
Number of pages	71
Journal	Communications on Pure and Applied Mathematics
Volume	55
Issue number	9
DOIs	https://doi.org/10.1002/cpa.10042
State	Published - Sep 2002

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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Fredholm Determinants, Jimbo-Miwa-Ueno τ-Functions, and Representation Theory

Abstract

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