2016/10/06 by Song Shao, Xiangdong Ye, Shao, Song +1
Computer Science · Mathematics · #37B05 #54H20 #Advanced Algebra and Logic #Advanced Topology and Set Theory #Artificial intelligence #Computer science #Control theory (sociology) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry #Mathematics #Mixing (physics) #Physics #Pi #Pure mathematics #Quantum mechanics #math.DS #msc:37B05 #msc:54H20 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1610.01793
arxiv created 2016/10/06 · openalex publication_date 2016/10/06 · arxiv updated 2016/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.