非负遍历平稳过程的分布极限与无限遍历变换
动力系统
2021-04-14 v3 概率论
摘要
在本短文中，我们确定了非负、遍历平稳过程的分布极限，表明所有极限都是可能的。我们还探讨了其对无限遍历理论的推论，并给出了分布稳定与-有理遍历变换的新例子。
引用
@article{arxiv.1604.03218,
title = {Distributional limits of positive, ergodic stationary processes and infinite ergodic transformations},
author = {Jon. Aaronson and Benjamin Weiss},
journal= {arXiv preprint arXiv:1604.03218},
year = {2021}
}
备注
added considerations of "bounded rational ergodicity" as "$\infty$- rational ergodicity"