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arXiv · 2609.10899

Quantitative universality for products of i.i.d. random matrices

Nikita Lvov
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Abstract

Using estimates established in a previous paper, we prove quantitative universality results for cokernels of products of i.i.d. random matrices and for flags associated to k-tuples of random i.i.d. matrices, over finite local rings. In the case when the ring is a quotient of $\mathbb{Z}_p$, this gives a quantitative analogue of some previous results of Huang, Nguyen and Van Peski.

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Nikita Lvov. 2026-09-09. Quantitative universality for products of i.i.d. random matrices. https://arxiv.org/abs/2609.10899

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