41 citations · 71 across the 8 of their papers we have counts for
4 papers · 1 filter
Extreme eigenvalues and the emerging outlier in rank-one non-Hermitian deformations of the Gaussian Unitary Ensemble
Yan V. Fyodorov, Boris A. Khoruzhenko, Mihail Poplavskyi
Complex eigenvalues of random matrices $J=\text{GUE }+ iγ\diag (1, 0, \ldots, 0)$ provide the simplest model for studying resonances in wave scattering from a quantum chaotic syste…
Universality at the Edge for Unitary Matrix Models
Mihail Poplavskyi
Using the results on the -expansion of the Verblunsky coefficients for a class of polynomials orthogonal on the unit circle with varying weight, we prove that the local ei…
Asymptotic behavior of the Verblunsky coefficients for the OPUC with a varying weight
Mihail Poplavskyi
We present an asymptotic analysis of the Verblunsky coefficients for the polynomials orthogonal on the unit circle with the varying weight , assuming that the pote…
Bulk Universality for Unitary Matrix Models
Mihail Poplavskyi
We give a proof of universality in the bulk of spectrum of unitary matrix models, assuming that the potential is globally and locally function. The proof is based o…