1 citations · 2 across the 5 of their papers we have counts for
5 papers
Polynomial orbits in totally minimal systems
Jiahao Qiu
Inspired by the recent work of Glasner, Huang, Shao, Weiss and Ye, we prove that the maximal -step pro-nilfactor of a minimal system is the topological c…
Pro-nilfactors of the space of arithmetic progressions in topological dynamical systems
Zhengxing Lian, Jiahao Qiu
For a topological dynamical system , and , let and be the orbit closures of the diagonal point ( times) un…
Top-nilpotent enveloping semigroups and pro-nilsystems
Jiahao Qiu, Jianjie Zhao
In this paper, it is shown that for , a minimal system is a -step pro-nilsystem if its enveloping semigroup is a -step top-nilpotent group, answering…
Null systems in the non-minimal case
Jiahao Qiu, Jianjie Zhao
In this paper, it is shown that if a dynamical system is null and distal, then it is equicontinuous. It turns out that a null system with closed proximal relation is mean equiconti…
A note on mean equicontinuity
Jiahao Qiu, Jianjie Zhao
In this note, it is shown that several results concerning mean equicontinuity proved before for minimal systems are actually held for general topological dynamical systems. Particu…