26 citations · 71 across the 35 of their papers we have counts for
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math.DS2014★ 2 cited
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…
math.DS2014★ 3 cited
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…
math.DS2014★ 26 cited
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…