4.2 Article

CLT for Linear Spectral Statistics of Wigner matrices

期刊

ELECTRONIC JOURNAL OF PROBABILITY
卷 14, 期 -, 页码 2391-2417

出版社

UNIV WASHINGTON, DEPT MATHEMATICS
DOI: 10.1214/EJP.v14-705

关键词

Bernstein polynomial; central limit theorem; Stieltjes transform; Wigner matrices

资金

  1. CNSF [10871036]
  2. National University of Singapore (NUS) [R-155-000-079-112, R-155-000-076-112]

向作者/读者索取更多资源

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.

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