7 citations · 17 across the 8 of their papers we have counts for
8 papers
A counterexample on multiple convergence without commutativity
Wen Huang, Song Shao, Xiangdong Ye
It is shown that there exist a probability space , two ergodic measure preserving transformations acting on with $h_μ(X,T)=h_μ(X,S)=0…
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…
Almost proximal extensions of minimal flows
Yang Cao, Song Shao
In this paper we study almost proximal extensions of minimal flows. Let be an extension of minimal flows. is called an almost proximal extension if…
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…