关于长方阵积和式的遍历定理
动力系统
2016-10-24 v3 概率论
摘要
我们通过在遍历动力系统的轨道上评估一个可积向量值函数，构造了一列长方阵。我们得到了这些矩阵积和式的几乎必然渐近结果。此外，我们还给出了其在对称平均中的应用。
引用
@article{arxiv.1411.6523,
title = {An ergodic theorem for permanents of oblong matrices},
author = {Jairo Bochi and Godofredo Iommi and Mario Ponce},
journal= {arXiv preprint arXiv:1411.6523},
year = {2016}
}
备注
We were informed by the referee that our Theorem 1 is a particular case of a 1996 result of Aaronson, Burton, Dehling, Gilat, Hill, and Weiss. So this will become a permanent preprint