A non-PI minimal system is Li-Yorke sensitive

Shao, Song; Ye, Xiangdong

doi:10.1090/proc/13779

A non-PI minimal system is Li-Yorke sensitive
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by Song Shao and Xiangdong Ye PDF

Proc. Amer. Math. Soc. 146 (2018), 1105-1112 Request permission

Abstract:

It is shown that any non-PI minimal system is Li-Yorke sensitive. Consequently, any minimal system with non-trivial weakly mixing factor (such a system is non-PI) is Li-Yorke sensitive, which answers affirmatively an open question by Akin and Kolyada in [Nonlinearity, 16 (2003) pp. 1421–1433].

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