Geodesic
On the edge universality of the local eigenvalue statistics of matrix models
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 3, pp. 335-365 Cet article a éte moissonné depuis la source Math-Net.Ru

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Basing on our recent results on the $1/n$-expansion in unitary invariant random matrix ensembles, known as matrix models, we prove that the local eigenvalue statistic, arising in a certain neighborhood of the edges of the support of the density of states, is independent of the form of the potential, determining the matrix model. Our proof is applicable to the case of real analytic potentials and of supports, consisting of one or two disjoint intervals. 
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     author = {L. Pastur and M. Shcherbina},
     title = {On the edge universality of the local eigenvalue statistics of matrix models},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {335--365},
     year = {2003},
     volume = {10},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a5/}
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L. Pastur; M. Shcherbina. On the edge universality of the local eigenvalue statistics of matrix models. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 3, pp. 335-365. http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a5/