41 citations · 71 across the 8 of their papers we have counts for
8 papers
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…
On pure complex spectrum for truncations of random orthogonal matrices and Kac polynomials
Martin Gebert, Mihail Poplavskyi
Let be the group of orthogonal matrices of size equipped with the probability distribution given by normalized Haar m…
Exact persistence exponent for the -diffusion equation and related Kac polynomials
Mihail Poplavskyi, Gregory Schehr
We compute the persistence for the -diffusion equation with random initial condition, i.e., the probability that the diffusion field, at a given point in the…
Examples of interacting particle systems on as Pfaffian point processes: annihilating and coalescing random walks
Barnaby Garrod, Mihail Poplavskyi, Roger Tribe +1
A class of interacting particle systems on , involving instantaneously annihilating or coalescing nearest neighbour random walks, are shown to be Pfaffan point processe…
What is the probability that a large random matrix has no real eigenvalues?
Eugene Kanzieper, Mihail Poplavskyi, Carsten Timm +2
We study the large- limit of the probability that a random matrix sampled from the real Ginibre ensemble has real eigenvalues. We prove that, $$\l…
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…