26 citations · 71 across the 35 of their papers we have counts for
37 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…
An affirmative answer to Owings's sumset question
Wen Huang, Zhengxing Lian, Song Shao +3
We give an affirmative answer to Owings's sumset question: for any -coloring of natural numbers, there is an infinite such that is monochromatic. Mo…
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…
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, Lemańczyk, and de la Rue characterized the class of automorphisms disjoint from all ergodic automorphisms. Inspired by their work, we provide several characteriza…
Multiple recurrence without commutativity
Wen Huang, Song Shao, Xiangdong Ye
We study multiple recurrence without commutativity in this paper. We show that for any two homeomorphisms with and being minimal, there is a r…