The non-Hermitian minor process
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866916031793987584 |
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| author | Cipolloni, Giorgio Erdős, László Kolupaiev, Oleksii |
| author_facet | Cipolloni, Giorgio Erdős, László Kolupaiev, Oleksii |
| contents | We show that the log-determinant of leading principal minors of large non-Hermitian random matrices converges in distribution to a 2+1 dimensional Gaussian field, which is logarithmically correlated for the parabolic distance, reminiscent to the Edwards-Wilkinson universality class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21265 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The non-Hermitian minor process Cipolloni, Giorgio Erdős, László Kolupaiev, Oleksii Probability 60B20, 82C10 We show that the log-determinant of leading principal minors of large non-Hermitian random matrices converges in distribution to a 2+1 dimensional Gaussian field, which is logarithmically correlated for the parabolic distance, reminiscent to the Edwards-Wilkinson universality class. |
| title | The non-Hermitian minor process |
| topic | Probability 60B20, 82C10 |
| url | https://arxiv.org/abs/2605.21265 |