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28 March 2024
 
  » arxiv » math-ph/0111007

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Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory
Alexei Borodin ; Percy Deift ;
Date 5 Nov 2001
Subject Mathematical Physics; Classical Analysis and ODEs; Representation Theory | math-ph math.CA math.MP math.RT
AbstractThe 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.
Source arXiv, math-ph/0111007
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