Universal constant order fluctuations for the cokernels of block triangular matrices
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915534289764352 |
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| author | Mészáros, András |
| author_facet | Mészáros, András |
| contents | We prove that for a large class of random block lower triangular matrices, the Sylow $p$-subgroups of their cokernels have the same constant order fluctuations as that of the matrix products studied by Nguyen and Van Peski in arXiv:2409.03099. We also show that the theorem of Nguyen and Van Peski remains true under a weaker assumption on the number of factors in the matrix products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11085 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal constant order fluctuations for the cokernels of block triangular matrices Mészáros, András Probability We prove that for a large class of random block lower triangular matrices, the Sylow $p$-subgroups of their cokernels have the same constant order fluctuations as that of the matrix products studied by Nguyen and Van Peski in arXiv:2409.03099. We also show that the theorem of Nguyen and Van Peski remains true under a weaker assumption on the number of factors in the matrix products. |
| title | Universal constant order fluctuations for the cokernels of block triangular matrices |
| topic | Probability |
| url | https://arxiv.org/abs/2411.11085 |