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A non-PI minimal system is Li-Yorke sensitive

2016/10/06 by Shao, Song, Ye, Xiangdong
#37B05 #54H20 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.01793

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.

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