CLT for Linear Spectral Statistics of Wigner matrices ∗

@inproceedings{Bai2009CLTFL,
  title={CLT for Linear Spectral Statistics of Wigner matrices ∗},
  author={Zhidong Bai and Xiaoying Wang and Wang Zhou},
  year={2009}
}
In this paper, we prove that the spectral empirical process of Wigner matrices under sixthmoment conditions, which is indexed by a set of functions with continuous fourth-order derivatives on an open interval including the support of the semicircle law, converges weakly in finite dimensions to a Gaussian process. 

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