关于 Bernoulli 平移的零型性质和混合性
动力系统
2011-03-08 v6 概率论
摘要
我们证明每个非奇异 Bernoulli 平移要么是零型，要么存在一个等价的平稳乘积概率。我们还给出了一个类型 Bernoulli 平移和一个 Markov 流的例子，它们是幂弱混合且为零型的。
引用
@article{arxiv.1001.4261,
title = {On the Zero-Type property and mixing of Bernoulli shifts},
author = {Zemer Kosloff},
journal= {arXiv preprint arXiv:1001.4261},
year = {2011}
}
备注
10 pages, An example of a power weakly mixing Bernoulli shift added. A reference to other examples of zero type and type III transformations was added. An example of a power weakly mixing flow is added