Geodesic
Universality at the edge for unitary matrix models
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012), pp. 367-392

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Using the results on the $1/n$-expansion of the Verblunsky coefficients for a class of polynomials orthogonal on the unit circle with $n$ varying weight, we prove that the local eigenvalue statistic for unitary matrix models is independent of the form of the potential, determining the matrix model. Our proof is applicable to the case of four times differentiable potentials and of supports, consisting of one interval. 
@article{JMAG_2012_8_a3,
     author = {M. Poplavskyi},
     title = {Universality at the edge for unitary matrix models},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {367--392},
     publisher = {mathdoc},
     volume = {8},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2012_8_a3/}
}
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M. Poplavskyi. Universality at the edge for unitary matrix models. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2012), pp. 367-392. http://geodesic.mathdoc.fr/item/JMAG_2012_8_a3/