3 papers
math.DS2022
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…
math.DS2020
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…
math.DS2018
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…