Перегляд за автором "Poplavskyi, M."

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  • Bulk Universality for Unitary Matrix Models 
    Poplavskyi, M. (Журнал математической физики, анализа, геометрии, 2009)
    A proof of universality in the bulk of spectrum of unitary matrix models, assuming that the potential is globally C² and locally C³ function (see Theorem 1.2), is given. The proof is based on the determinant formulas for ...
  • Universality at the Edge for Unitary Matrix Models 
    Poplavskyi, M. (Журнал математической физики, анализа, геометрии, 2012)
    Using the results on the 1/n-expansion of the Verblunsky coe±cients 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 ...