Limit theorems for linear spectrum statistics of orthogonal polynomial ensembles and their applications in random matrix theory
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DOI: 10.1063/1.5006507
Abstract: In this paper, we consider the asymptotic behavior of 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 VarXfn(n)→∞, the Berry-Esseen (BE) bound and Cramer… read more here.
Keywords: linear spectrum; limit theorems; orthogonal polynomial; spectrum statistics ... See more keywords