7 citations · 24 across the 9 of their papers we have counts for
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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…
On structure theorems and non-saturated examples
Qinqi Wu, Hui Xu, Xiangdong Ye
For any minimal system and there is an associated minimal system , where is the group generated by $T\times\c…
A non-PI minimal system is Li-Yorke sensitive
Song Shao, Xiangdong Ye
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 sensit…
Weakly mixing, proximal topological models for ergodic systems and applications
Zhengxing Lian, Song Shao, Xiangdong Ye
In this paper it is shown that every non-periodic ergodic system has two topologically weakly mixing, fully supported models: one is non-minimal but has a dense set of minimal poin…
Nil Bohr-sets and almost automorphy of higher order
Wen Huang, Song Shao, Xiangdong Ye
Two closely related topics: higher order Bohr sets and higher order almost automorphy are investigated in this paper. Both of them are related to nilsystems. In the first part, the…