6 papers
Rigid Functions, IP-Systems, and Topological Mild Mixing
Song Shao, Hui Xu
We study uniform rigidity and topological mild mixing through continuous observables. For a fixed sequence of times, the observables rigid along that sequence form a closed unital…
Adherence Semigroups and Density Finite-Sums Configurations
Song Shao, Hui Xu
In this paper, we use the adherence semigroup to describe finite-sums configurations in topological dynamical systems. We establish a correspondence between exact finite sumsets an…
Quasi-disjointness in topological dynamics
Hui Xu, Xiangdong Ye
Motivated by Berg's notion of quasi-disjointness for ergodic systems, we introduce and investigate the concept of quasi-disjointness for minimal systems. Several equivalent charact…
On subsets of integers having dense orbits
Zhuowen Guo, Jiahao Qiu, Hui Xu +1
Let . We say is an -sequence for a given minimal system if there is such that is dense in . Richter asked if i…
Structure theorems of commuting transformations and minimal -flows
Song Shao, Hui Xu
In this paper, we develop several structure theorems concerning commuting transformations and minimal -flows. Specifically, we show that if , are minimal…
On systems disjoint from all minimal systems
Wen Huang, Song Shao, Hui Xu +1
Recently, Górska, LemaÅczyk, and de la Rue characterized the class of automorphisms disjoint from all ergodic automorphisms. Inspired by their work, we provide several characteri…