10 citations · 21 across the 8 of their papers we have counts for
16 papers · 1 filter
Lyapunov optimizing measures and periodic measures for expanding maps
Wen Huang, Leiye Xu, Dawei Yang
We prove that there exists an open and dense subset in the space of expanding self-maps of the circle such that the Lyapunov minimizing measures…
Multiply minimal points for the product of iterates
Wen Huang, Song Shao, Xiangdong Ye
The multiple Birkhoff recurrence theorem states that for any , every system has a multiply recurrent point , i.e. is recurrent under $τ_…
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…
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…
Regionally proximal relation of order along arithmetic progressions and nilsystems
Eli Glasner, Wen Huang, Song Shao +1
The regionally proximal relation of order along arithmetic progressions, namely for , is introduced and investigated. It turns out that if is…