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MR1833807 (2003a:82031) 82B41 (15A52 34M55)
Forrester, P. J.; Witte, N. S. Application of the $\tau$-function theory of Painlevé equations to random matrices: PIV, PII and the GUE. Comm. Math. Phys. 219 (2001), no. 2, 357--398.
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