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arXiv · 2005.00984

Fluctuation of linear eigenvalue statistics of reverse circulant matrices with independent entries

Shambhu Nath Maurya·Koushik Saha
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Abstract

In this article, we study the fluctuations of linear eigenvalue statistics of reverse circulant $(RC_n)$ matrices with independent entries which satisfy some moment conditions. We show that $\frac{1}{\sqrt{n}} \text{Tr} \phi(RC_n)$ obey the central limit theorem (CLT) type result, where $\phi$ is a nice test function.

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BibTeXRIS

Shambhu Nath Maurya, Koushik Saha. 2020-05-03. Fluctuation of linear eigenvalue statistics of reverse circulant matrices with independent entries. https://doi.org/10.1063/5.0020477

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