Fredholm determinants, Jimbo-Miwa-Ueno π-functions, and representation theory

被引：83
作者：
Borodin, A
Deift, P
机构：
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
[2] NYU, Courant Inst, New York, NY 10012 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2002年 / 55卷 / 09期
关键词：
D O I：
10.1002/cpa.10042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2002 Wiley Periodicals. Inc.
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收藏
页码：1160 / 1230
页数：71
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