115 citations · 475 across the 48 of their papers we have counts for
4 papers · 1 filter
Polynomial mean complexity and Logarithmic Sarnak conjecture
Wen Huang, Leiye Xu, Xiangdong Ye
In this paper, we reduce the logarithmic Sarnak conjecture to the -symbolic systems with polynomial mean complexity. By showing that the logarithmic Sarnak conjecture hold…
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…
Positive entropy implies chaos along any infinite sequence
Wen Huang, Jian Li, Xiangdong Ye
Let be an infinite countable discrete amenable group. For any -action on a compact metric space , it turns out that if the action has positive topological entropy, th…
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…