A non-PI minimal system is Li-Yorke sensitive
classification
🧮 math.DS
keywords
systemli-yorkeminimalnon-pisensitiveaffirmativelyakinanswers
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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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