Fluctuation of eigenvalues of symmetric circulant matrices with independent entries

Shambhu Nath Maurya; Koushik Saha

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arXiv · 2004.11294

Fluctuation of eigenvalues of symmetric circulant matrices with independent entries

Shambhu Nath Maurya·Koushik Saha

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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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BibTeX RIS

Shambhu Nath Maurya, Koushik Saha. 2020-04-23. Fluctuation of eigenvalues of symmetric circulant matrices with independent entries. https://arxiv.org/abs/2004.11294

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