We consider the limit of the empirical spectral distribution of Laplace matrices of generalized random graphs. Applying the Stieltjes transform method, we prove under general conditions that the limit spectral distribution of Laplace matrices converges to the free convolution of the semicircular law and the normal law
We compute an asymptotic expansion in 1/c of the limit in n of the empirical spectral measure of the...
We investigate the spectrum of the infinitesimal generator of the continuous time random walk on a r...
We consider the limiting spectral distribution of matrices of the form $\frac{1}{2b_{n}+1} ...
The probabilistic properties of eigenvalues of random matrices whose dimension increases indefinitel...
We consider the spectrum of random Laplacian matrices of the form Ln=An−Dn where An is a real symme...
AbstractResults on the analytic behavior of the limiting spectral distribution of matrices of sample...
Solutions to basic non-linear limit spectral equation for matrices RTR of increasing di-mension are ...
The limiting spectral distribution of random matrices is known only in a few special situations. In ...
Götze F, Tikhomirov AN. Limit theorems for spectra of random matrices with martingale structure. THE...
We compute an asymptotic expansion in 1/c of the limit in n of the empirical spectral measure of the...
Abstract. We examine the empirical distribution of the eigenvalues and the eigenvectors of adjacency...
AbstractThe existence of limiting spectral distribution (LSD) of the product of two random matrices ...
ABSTRACT. McKay proved the limiting spectral measures of the ensembles of d-regular graphs with N ve...
We consider an extension of Erd\H{o}s-R\'enyi graph known in literature as Stochastic Block Model ...
A new form of empirical spectral distribution of a Wigner matrix Wn with weights specified by the ei...
We compute an asymptotic expansion in 1/c of the limit in n of the empirical spectral measure of the...
We investigate the spectrum of the infinitesimal generator of the continuous time random walk on a r...
We consider the limiting spectral distribution of matrices of the form $\frac{1}{2b_{n}+1} ...
The probabilistic properties of eigenvalues of random matrices whose dimension increases indefinitel...
We consider the spectrum of random Laplacian matrices of the form Ln=An−Dn where An is a real symme...
AbstractResults on the analytic behavior of the limiting spectral distribution of matrices of sample...
Solutions to basic non-linear limit spectral equation for matrices RTR of increasing di-mension are ...
The limiting spectral distribution of random matrices is known only in a few special situations. In ...
Götze F, Tikhomirov AN. Limit theorems for spectra of random matrices with martingale structure. THE...
We compute an asymptotic expansion in 1/c of the limit in n of the empirical spectral measure of the...
Abstract. We examine the empirical distribution of the eigenvalues and the eigenvectors of adjacency...
AbstractThe existence of limiting spectral distribution (LSD) of the product of two random matrices ...
ABSTRACT. McKay proved the limiting spectral measures of the ensembles of d-regular graphs with N ve...
We consider an extension of Erd\H{o}s-R\'enyi graph known in literature as Stochastic Block Model ...
A new form of empirical spectral distribution of a Wigner matrix Wn with weights specified by the ei...
We compute an asymptotic expansion in 1/c of the limit in n of the empirical spectral measure of the...
We investigate the spectrum of the infinitesimal generator of the continuous time random walk on a r...
We consider the limiting spectral distribution of matrices of the form $\frac{1}{2b_{n}+1} ...
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