Universal constant order fluctuations for the cokernels of block triangular matrices
Probability
2025-10-07 v2
Abstract
We prove that for a large class of random block lower triangular matrices, the Sylow -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.
Cite
@article{arxiv.2411.11085,
title = {Universal constant order fluctuations for the cokernels of block triangular matrices},
author = {András Mészáros},
journal= {arXiv preprint arXiv:2411.11085},
year = {2025}
}