A non-PI minimal system is Li-Yorke sensitive
Dynamical Systems
2016-10-07 v1
Abstract
It is shown that any non-PI minimal system is Li-Yorke sensitive. Consequently, any minimal system with nontrivial weakly mixing factor (such a system is non-PI) is Li-Yorke sensitive, which answers affirmatively an open question by Akin and Kolyada.
Cite
@article{arxiv.1610.01793,
title = {A non-PI minimal system is Li-Yorke sensitive},
author = {Song Shao and Xiangdong Ye},
journal= {arXiv preprint arXiv:1610.01793},
year = {2016}
}