115 citations · 475 across the 48 of their papers we have counts for
52 papers
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…
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…
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…
Polynomial Furstenberg joinings and its applications
Wen Huang, Song Shao, Xiangdong Ye
In this paper, a polynomial version of Furstenberg joining is introduced and its structure is investigated. Particularly, it is shown that if all polynomials are non-linear, then a…
Topological dynamical systems induced by polynomials and combinatorial consequences
Wen Huang, Song Shao, Xiangdong Ye
Let and be an integral polynomial with , . It is shown that if is piecewise syndetic in , then $$\{(m,n)\in{\mathbb Z…
A counterexample on polynomial multiple convergence without commutativity
Wen Huang, Song Shao, Xiangdong Ye
It is shown that for polynomials with there exist a probability space , two ergodic measure…