随机行列式的第六矩
组合数学
2023-02-28 v2 概率论
摘要
本文中，我们确定了非对称 随机矩阵行列式的第六矩，其中矩阵元素独立抽取自均值为 的任意分布 。此外，我们推导了当矩阵规模趋于无穷时行列式第六矩的渐近行为。
引用
@article{arxiv.2206.11356,
title = {The Sixth Moment of Random Determinants},
author = {Dominik Beck and Zelin Lv and Aaron Potechin},
journal= {arXiv preprint arXiv:2206.11356},
year = {2023}
}
备注
This update contains several additional results, namely a generating function for $f_6(n)$, a simpler formula for $f_6(n)$, the asymptotic behavior of $f_6(n)$ as $n$ goes to infinity, and a generalization of these results to the case when $\Omega$ has a nonzero third moment