224 citations · 1.2k across the 22 of their papers we have counts for
22 papers
On the distribution patterns of zeros for random polynomials with regularly varying coefficients
Zakhar Kabluchko, Boris Khoruzhenko, Alexander Marynych
This paper investigates asymptotic distribution of complex zeros of random polynomials , as , where is a regularly varying functi…
Zeros of conditional Gaussian analytic functions, random sub-unitary matrices and q-series
Yan V. Fyodorov, Boris A. Khoruzhenko, Thomas Prellberg
We investigate radial statistics of zeros of hyperbolic Gaussian Analytic Functions (GAF) of the form given that and assuming coefficien…
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…
Truncations of random symplectic unitary matrices
Boris A. Khoruzhenko, Serhii Lysychkin
This paper is concerned with complex eigenvalues of truncated unitary quaternion matrices equipped with the Haar measure. The joint eigenvalue probability density function is obtai…
Glass--like transition described by toppling of stability hierarchy
Jacek Grela, Boris A. Khoruzhenko
Building on the work of Fyodorov (2004) and Fyodorov and Nadal (2012) we examine the critical behaviour of population of saddles with fixed instability index in high dimensiona…
Counting equilibria of large complex systems by instability index
Gérard Ben Arous, Yan V Fyodorov, Boris A Khoruzhenko
We consider a nonlinear autonomous system of degrees of freedom randomly coupled by both relaxational ('gradient') and non-relaxational ('solenoidal') random interactions.…