Limit theorems for linear spectrum statistics of orthogonal polynomial ensembles and their applications in random matrix theory

Limit theorems for linear spectrum statistics of orthogonal polynomial ensembles and their applications in random matrix theory

In this paper, we consider the asymptotic behavior of X(n)fn≔∑ni=1fn(xi)Xfn(n)≔∑i=1nfn(xi), where xi,i=1,…,n form orthogonal polynomial ensembles and fn is a real-valued, bounded measurable function. Under the condition that VarX(n)fn→∞VarXfn(n)→∞, the Berry-Esseen (BE) bound and Cramér type moderat...

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書目詳細資料
Main Authors:	Pan, Guangming, Wang, Shaochen, Zhou, Wang
其他作者:	School of Physical and Mathematical Sciences
格式:	Article
語言:	English
出版:	2017
主題:	Probability Theory Correlation
在線閱讀:	https://hdl.handle.net/10356/86704 http://hdl.handle.net/10220/44176
標簽:	添加標簽沒有標簽, 成為第一個標記此記錄!
機構:	Nanyang Technological University
語言:	English

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