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MR1885665 (2003g:33023) 33E17 (34M55 37K10 82B31)
Forrester, P. J.; Witte, N. S. Application of the $\tau$-function theory of Painlevé equations to random matrices: $\rm P\sb V$, $\rm P\sb {III}$, the LUE, JUE, and CUE. Comm. Pure Appl. Math. 55 (2002), no. 6, 679–727.
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