AI 中文总结
本文利用先前估计,证明了有限局部环上独立同分布随机矩阵乘积余核及旗标的定量普适性,并推广了Huang等人的结果。
AI 中文摘要
利用先前论文中建立的估计,我们证明了有限局部环上独立同分布随机矩阵乘积的余核以及随机独立同分布矩阵k元组相关的旗标的定量普适性结果。当环是$\mathbb{Z}_p$的商时,这给出了Huang、Nguyen和Van Peski先前某些结果的定量类比。
英文摘要
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.
Comments8 pages. Comments welcome!