A NON-PI MINIMAL SYSTEM IS LI-YORKE SENSITIVE

作者:Shao, Song*; Ye, Xiangdong
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146(3): 1105-1112.
DOI:10.1090/proc/13779

摘要

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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