Geodesic
Limit correlation functions at zero for fixed trace random matrix ensembles
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 11, Tome 341 (2007), pp. 68-80

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The large-$N$ limit of the eigenvalue correlation functions is examined in a neighborhood of zero for the spectra of $N\times N-$Hermitian matrices chosen at random from the Hilbert–Schmidt sphere of appropriate radius. Dyson's famous $\sin\pi(t_1-t_2)/\pi(t_1-t_2)$-kernel asymptotics is extended to this class of random matrix ensembles. 
@article{ZNSL_2007_341_a3,
     author = {F. G\"otze and M. I. Gordin and A. Levina},
     title = {Limit correlation functions at zero for fixed trace random matrix ensembles},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {68--80},
     publisher = {mathdoc},
     volume = {341},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_341_a3/}
}
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F. Götze; M. I. Gordin; A. Levina. Limit correlation functions at zero for fixed trace random matrix ensembles. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 11, Tome 341 (2007), pp. 68-80. http://geodesic.mathdoc.fr/item/ZNSL_2007_341_a3/