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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.20721 |
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| _version_ | 1866918322260410368 |
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| author | Cafasso, Mattia Pinheiro, Carla Mariana da Silva |
| author_facet | Cafasso, Mattia Pinheiro, Carla Mariana da Silva |
| contents | We study the multiplicative statistics associated to the limiting determinantal point process describing unitary random matrices with a critical edge point, where limiting density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the KdV hierarchy, and study the asymptotic behavior of the relevant solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unitary ensembles with a critical edge point, their multiplicative statistics and the Korteweg-de-Vries hierarchy Cafasso, Mattia Pinheiro, Carla Mariana da Silva Mathematical Physics Probability 60B20, 37K10 We study the multiplicative statistics associated to the limiting determinantal point process describing unitary random matrices with a critical edge point, where limiting density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the KdV hierarchy, and study the asymptotic behavior of the relevant solutions. |
| title | Unitary ensembles with a critical edge point, their multiplicative statistics and the Korteweg-de-Vries hierarchy |
| topic | Mathematical Physics Probability 60B20, 37K10 |
| url | https://arxiv.org/abs/2504.20721 |