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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.15396 |
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| _version_ | 1866913528059789312 |
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| author | Collins, Benoît Fujie, Katsunori Hasebe, Takahiro Leid, Felix Sakuma, Noriyoshi |
| author_facet | Collins, Benoît Fujie, Katsunori Hasebe, Takahiro Leid, Felix Sakuma, Noriyoshi |
| contents | This paper calculates the fluctuations of eigenvalues of polynomials on large Haar unitaries cut by finite rank deterministic matrices. When the eigenvalues are all simple, we can give a complete algorithm for computing the fluctuations. When multiple eigenvalues are involved, we present several examples suggesting that a general algorithm would be much more complex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15396 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fluctuations of eigenvalues of a polynomial on Haar unitary and finite rank matrices Collins, Benoît Fujie, Katsunori Hasebe, Takahiro Leid, Felix Sakuma, Noriyoshi Probability This paper calculates the fluctuations of eigenvalues of polynomials on large Haar unitaries cut by finite rank deterministic matrices. When the eigenvalues are all simple, we can give a complete algorithm for computing the fluctuations. When multiple eigenvalues are involved, we present several examples suggesting that a general algorithm would be much more complex. |
| title | Fluctuations of eigenvalues of a polynomial on Haar unitary and finite rank matrices |
| topic | Probability |
| url | https://arxiv.org/abs/2309.15396 |