# Fluctuation of eigenvalues of symmetric circulant matrices with independent entries

@article{Maurya2020FluctuationOE, title={Fluctuation of eigenvalues of symmetric circulant matrices with independent entries}, author={Shambhu Nath Maurya and Koushik Saha}, journal={arXiv: Probability}, year={2020} }

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.

## One Citation

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