Non-Hermitian spectral universality at critical points
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915383610441728 |
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| author | Cipolloni, Giorgio Erdős, László Ji, Hong Chang |
| author_facet | Cipolloni, Giorgio Erdős, László Ji, Hong Chang |
| contents | For general large non-Hermitian random matrices $X$ and deterministic normal deformations $A$, we prove that the local eigenvalue statistics of $A+X$ close to the critical edge points of its spectrum are universal. This concludes the proof of the third and last remaining typical universality class for non-Hermitian random matrices, after bulk and sharp edge universalities have been established in recent years. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17030 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian spectral universality at critical points Cipolloni, Giorgio Erdős, László Ji, Hong Chang Probability Mathematical Physics 15B52, 60B20 For general large non-Hermitian random matrices $X$ and deterministic normal deformations $A$, we prove that the local eigenvalue statistics of $A+X$ close to the critical edge points of its spectrum are universal. This concludes the proof of the third and last remaining typical universality class for non-Hermitian random matrices, after bulk and sharp edge universalities have been established in recent years. |
| title | Non-Hermitian spectral universality at critical points |
| topic | Probability Mathematical Physics 15B52, 60B20 |
| url | https://arxiv.org/abs/2409.17030 |