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Universality at the Edge for Unitary Matrix Models

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 نشر من قبل Mihail Poplavskyi
 تاريخ النشر 2013
  مجال البحث فيزياء
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 تأليف Mihail Poplavskyi




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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.



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