Fluctuation of linear eigenvalue statistics of reverse circulant matrices with independent entries
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866913394912657408 |
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| author | Maurya, Shambhu Nath Saha, Koushik |
| author_facet | Maurya, Shambhu Nath Saha, Koushik |
| contents | 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 $\frac{1}{\sqrt{n}} \text{Tr} ϕ(RC_n)$ obey the central limit theorem (CLT) type result, where $ϕ$ is a nice test function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_00984 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Fluctuation of linear eigenvalue statistics of reverse circulant matrices with independent entries Maurya, Shambhu Nath Saha, Koushik Probability 60B20 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 $\frac{1}{\sqrt{n}} \text{Tr} ϕ(RC_n)$ obey the central limit theorem (CLT) type result, where $ϕ$ is a nice test function. |
| title | Fluctuation of linear eigenvalue statistics of reverse circulant matrices with independent entries |
| topic | Probability 60B20 |
| url | https://arxiv.org/abs/2005.00984 |