Fluctuation of linear eigenvalue statistics of reverse circulant matrices with independent entries
| Autor: | Maurya, Shambhu Nath, Saha, Koushik |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1063/5.0020477 |
| Popis: | 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. Comment: 18 pages, 3 figures. arXiv admin note: text overlap with arXiv:2004.11294 |
| Databáze: | arXiv |
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