5 citations · 5 across the 9 of their papers we have counts for
14 papers · 1 filter
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…
Multiply minimal points for the product of iterates
Wen Huang, Song Shao, Xiangdong Ye
The multiple Birkhoff recurrence theorem states that for any , every system has a multiply recurrent point , i.e. is recurrent under $τ_…
Topological mild mixing of all orders along polynomials
Yang Cao, Song Shao
A minimal system is topologically mildly mixing if all non-empty open subsets , is an IP-set. In this paper we show that…
Topological characteristic factors and nilsystems
Eli Glasner, Wen Huang, Song Shao +2
We prove that the maximal infinite step pro-nilfactor of a minimal dynamical system is the topological characteristic factor in a certain sense. Namely, we show…