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ASYMPTOTIC EXPANSIONS FOR THE GAUSSIAN UNITARY ENSEMBLE

ASYMPTOTIC EXPANSIONS FOR THE GAUSSIAN UNITARY ENSEMBLE

Let g : โ„ โ†’ โ„‚ be a C โˆž -function with all derivatives bounded and let tr n denote the normalized trace on the n ร— n matrices. In Ref. 3 Ercolani and McLaughlin established asymptotic expansions of the mean value ๐”ผ{ tr n (g(X n ))} for a โ€ฆ