Universality results for random matrices over finite local rings
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915734105358336 |
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| author | Lvov, Nikita |
| author_facet | Lvov, Nikita |
| contents | Let $R$ be a finite local ring. We prove a quantitative universality statement for the cokernel of random matrices with i.i.d. entries valued in $R$. Rather than use the moment method, we use the Lindeberg replacement technique. This approach also yields a universality result for several invariants that are finer than the cokernel, such as the span and the determinant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10821 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Universality results for random matrices over finite local rings Lvov, Nikita Probability Commutative Algebra Combinatorics Number Theory Let $R$ be a finite local ring. We prove a quantitative universality statement for the cokernel of random matrices with i.i.d. entries valued in $R$. Rather than use the moment method, we use the Lindeberg replacement technique. This approach also yields a universality result for several invariants that are finer than the cokernel, such as the span and the determinant. |
| title | Universality results for random matrices over finite local rings |
| topic | Probability Commutative Algebra Combinatorics Number Theory |
| url | https://arxiv.org/abs/2601.10821 |