115 citations · 475 across the 48 of their papers we have counts for
4 papers · 2 filters
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…
Pointwise convergence of multiple ergodic averages and strictly ergodic models
Wen Huang, Song Shao, Xiangdong Ye
By building some suitable strictly ergodic models, we prove that for an ergodic system , , , the averages…
Recurrence properties and disjointness on the induced spaces
Jie Li, Kesong Yan, Xiangdong Ye
A topological dynamical system induces two natural systems, one is on the hyperspace and the other one is on the probability space. The connection among some dynamical properties o…