Global and local limits for products of rectangular Ginibre matrices
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914103957651456 |
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| author | Gu, Yandong |
| author_facet | Gu, Yandong |
| contents | We investigate singular value statistics for products of independent rectangular complex Ginibre matrices. When the rectangularity parameters of the matrices converge to a common limit in the asymptotic regime, the limiting spectral density is derived, and the local statistics in the bulk are shown to be governed by the universal sine kernel. This generalizes the classical results for products of square Ginibre matrices to a specific class of rectangular matrix products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17282 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global and local limits for products of rectangular Ginibre matrices Gu, Yandong Probability 60B20 We investigate singular value statistics for products of independent rectangular complex Ginibre matrices. When the rectangularity parameters of the matrices converge to a common limit in the asymptotic regime, the limiting spectral density is derived, and the local statistics in the bulk are shown to be governed by the universal sine kernel. This generalizes the classical results for products of square Ginibre matrices to a specific class of rectangular matrix products. |
| title | Global and local limits for products of rectangular Ginibre matrices |
| topic | Probability 60B20 |
| url | https://arxiv.org/abs/2510.17282 |