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CLT for Linear Spectral Statistics of Wigner matrices

  
@article{EJP705,
	author = {Zhidong Bai and Xiaoying Wang and Wang Zhou},
	title = {CLT for Linear Spectral Statistics of Wigner matrices},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {14},
	year = {2009},
	keywords = {Bernstein polynomial; central limit theorem; Stieltjes transform; Wigner matrices},
	abstract = {In this paper, we prove that the spectral empirical process of Wigner matrices under sixth-moment 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.},
	pages = {no. 83, 2391-2417},
	issn = {1083-6489},
	doi = {10.1214/EJP.v14-705},    
        url = {http://ejp.ejpecp.org/article/view/705}}