Gaussian fluctuations for linear spectral statistics of deformed Wigner matrices
نویسندگان
چکیده
منابع مشابه
CLT for Linear Spectral Statistics of Wigner matrices ∗
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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ژورنال
عنوان ژورنال: Random Matrices: Theory and Applications
سال: 2019
ISSN: 2010-3263,2010-3271
DOI: 10.1142/s2010326320500112