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math.DS2026
Connectedness of polynomial diagonal orbit closures for minimal nilrotations and applications
Kangbo Ouyang, Jiahao Qiu, Xiangdong Ye
For a minimal nilrotation on a compact connected nilmanifold, we prove that the polynomial diagonal orbit closure associated with any finite family of polynomials with integer coef…
math.DS2026
Zero-Threshold Discrepancies for Multiple Correlation Sequences
Kangbo Ouyang, Jiahao Qiu, Xiangdong Ye
We study the zero-threshold lifting problem for polynomial multiple correlation sequences with respect to the measure-theoretic pro-nilfactor. The structure theory for polynomial m…
math.DS2026
Quasi-disjointness in topological dynamics
Hui Xu, Xiangdong Ye
Motivated by Berg's notion of quasi-disjointness for ergodic systems, we introduce and investigate the concept of quasi-disjointness for minimal systems. Several equivalent charact…