115 citations · 475 across the 48 of their papers we have counts for
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math.DS2017★ 2 cited
Periodic points for amenable group actions on uniquely arcwise connected continua
Enhui Shi, Xiangdong Ye
We show that if is a countable amenable group acting on a uniquely arcwise connected continuum , then has either a fixed point or a 2-periodic point in .
math.DS2017★ 10 cited
Measure complexity and Möbius disjointness
Wen Huang, Zhiren Wang, Xiangdong Ye
In this paper, the notion of measure complexity is introduced for a topological dynamical system and it is shown that Sarnak's Möbius disjointness conjecture holds for any system f…
math.DS2017★ 4 cited
Higher order regionally proximal equivalence relations for general minimal group actions
Eli Glasner, Yonatan Gutman, XiangDong Ye
We introduce higher order regionally proximal relations suitable for an arbitrary acting group. For minimal abelian group actions, these relations coincide with the ones introduced…