Type: Article
Publication Date: 2012-04-01
Citations: 8
DOI: https://doi.org/10.1063/1.3698291
We study the linear eigenvalue statistics of large random graphs in the regimes when the mean number of edges for each vertex tends to infinity. We prove that for a rather wide class of test functions the fluctuations of linear eigenvalue statistics converges in distribution to a Gaussian random variable with zero mean and variance which coincides with “non-gaussian” part of the Wigner ensemble variance.