Universality laws for random matrices via exchangeable counterparts
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917324123013120 |
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| author | Tropp, Joel A. |
| author_facet | Tropp, Joel A. |
| contents | Recently, Brailovskaya & van Handel (GAFA, 2024) established a suite of nonasymptotic universality laws which demonstrate that the spectral statistics of an independent sum of random matrices mirror the spectral statistics of a Gaussian random matrix with the same first- and second-order moments. This paper develops a more elementary proof of their main results by means of a new implementation of the method of exchangeable counterparts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05803 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Universality laws for random matrices via exchangeable counterparts Tropp, Joel A. Probability 15B52, 60B20 Recently, Brailovskaya & van Handel (GAFA, 2024) established a suite of nonasymptotic universality laws which demonstrate that the spectral statistics of an independent sum of random matrices mirror the spectral statistics of a Gaussian random matrix with the same first- and second-order moments. This paper develops a more elementary proof of their main results by means of a new implementation of the method of exchangeable counterparts. |
| title | Universality laws for random matrices via exchangeable counterparts |
| topic | Probability 15B52, 60B20 |
| url | https://arxiv.org/abs/2603.05803 |