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20092026
most citedPointwise convergence of multiple ergodic averages and strictly ergodic models

26 citations · 71 across the 35 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.DS2020★ 5 cited

Topological characteristic factors and nilsystems

Eli Glasner, Wen Huang, Song Shao +2

We prove that the maximal infinite step pro-nilfactor of a minimal dynamical system is the topological characteristic factor in a certain sense. Namely, we show…

math.DS2020

Topological characteristic factors and independence along arithmetic progressions

Fangzhou Cai, Song Shao

Let be a factor map of topological dynamics and . is said to be a -step topological characteristic factor if there exists…

math.DS2020

Minimal systems with finitely many ergodic measures

Wen Huang, Zhengxing Lian, Song Shao +1

In this paper it is proved that if a minimal system has the property that its sequence entropy is uniformly bounded for all sequences, then it has only finitely many ergodic measur…