224 citations · 248 across the 8 of their papers we have counts for
8 papers
On Spectral Norm of Large Band Random Matrices
A. Khorunzhy
We study the spectral norm of N-dimensional hermitian random matrices whose entries are zero outside of the band of the width b along the principal diagonal. Inside this band the e…
Products of random matrices and q-Catalan numbers
A. Khorunzhy
We describe one interpretation of the q-Catalan numbers in frameworks of random matrix theory and weighted partitions of the set of integers.
Stochastic version of the Erdos-Renyi limit theorem
A. Khorunzhy
We generalise the Erdos-Renyi limit theorem on the maximum of the partial sums of random variables to the case when the number of terms in these sums is randomly distributed. Certa…
On asymptotic solvability of random graph's laplacians
A. Khorunzhy, V. Vengerovsky
We observe that the Laplacian of a random graph G on N vertices represents and explicitly solvable model in the limit of infinitely increasing N. Namely, we derive recurrent relati…
On Asymptotic Expansions and Scales of Spectral Universality in Band Random Matrix Ensembles
A. Khorunzhy, W. Kirsch
We consider the family of N-dimensional real symmetric matrices H with random independent entries whose variance is determined by a function U((x-y)/b). In the limit of (relatively…
On Universality of Smoothed Eigenvalue Density of Large Random Matrices
A. Boutet de Monvel, A. Khorunzhy
We describe the resolvent approach for the rigorous study of the mescoscopic regime of Hermitian matrix spectra. We present results reflecting the universal behavior of the smoothe…