74 citations · 131 across the 18 of their papers we have counts for
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Asymptotic absence of poles of Ihara zeta function of large Erdos-Renyi random graphs
O. Khorunzhiy
Using recent results on the concentration of the largest eigenvalue and maximal vertex degree of large random graphs, we show that the infinite sequence of Erd\H os-Rényi random gr…
On asymptotic properties of high moments of compound Poisson distribution
O. Khorunzhiy
We study asymptotic behavior of the moments of the sum , where follows the Poisson probability distribution with mean value and is a…
On asymptotic behavior of Bell polynomials and concentration of vertex degree of large random graphs
O. Khorunzhiy
We study concentration properties of vertex degrees of -dimensional Erdos-Rényi random graphs with the edge probability by means of high moments of these random variables…
A class of even walks and divergence of high moments of large Wigner random matrices
O. Khorunzhiy
We study high moments of truncated Wigner nxn random matrices by using their representation as the sums over the set W of weighted even closed walks. We construct the subset W' of…
High Moments of Large Wigner Random Matrices and Asymptotic Properties of the Spectral Norm
O. Khorunzhiy
We consider an ensemble of nxn real symmetric random matrices A whose entries are determined by independent identically distributed random variables that have symmetric probability…
Uniform bounds for exponential moment of maximum of a Dyck paths
O. Khorunzhiy, J. -F. Marckert
Let D be a Dyck path chosen uniformly from the set of Dyck paths with 2n steps. We prove that the sequence of the exponential moments of the maximum of D normalized by the square r…
Limit Theorem for Sums of Random Products
O. Khorunzhiy
We study a generalization of the Random Energy Model to the case when the number of exponential factors varies at random. Also a relation between REM and the Erd"os-R'enyi limit th…