Product of two Kochergin flows with different exponents is not standard
STUDIA MATHEMATICA(2017)
摘要
We study the standard(zero entropy loosely Bernoulli or loosely Kronecker) property for products of Kochergin smooth flows on 𝕋^2 with one singularity. These flows can be represented as special flows over irrational rotations of the circle and under roof functions which are smooth on 𝕋^2∖{0} with a singularity at 0. We show that there exists a full measure set 𝒟⊂𝕋 such that the product system of two Kochergin flows with different power of singularities and rotations from 𝒟 is not standard.
更多查看译文
关键词
standardness, Kakutani equivalence, smooth flows on surfaces
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要