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Fluctuation of eigenvalues of symmetric circulant matrices with independent entries
Published 23 Apr 2020 in math.PR | (2004.11294v1)
Abstract: In this article, we study the fluctuation of linear eigenvalue statistics of symmetric circulant matrices $(SC_n)$ with independent entries which satisfy some moment conditions. We show that $\frac{1}{\sqrt{n}} \Tr \phi(SC_n)$ obey the central limit theorem (CLT) type result, where $\phi$ is a nice test function.
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