6 papers
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…
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…
Monochromatic Sums and Products with Additive or Multiplicative Shifts in Natural Numbers
Wen Huang, Song Shao, Tianyi Tao +2
In this paper we prove that for any finite coloring of N there are lambda,rho in N such that infinitely many pairs (x,y),(u,v) in N^2 satisfy the sets {lambda x, lambda y, x y, lam…
A counterexample on multiple convergence without commutativity
Wen Huang, Song Shao, Xiangdong Ye
It is shown that there exist a probability space , two ergodic measure preserving transformations acting on with $h_μ(X,T)=h_μ(X,S)=0…
Pointwise convergence of some continuous-time polynomial ergodic averages
Wen Huang, Song Shao, Rongzhong Xiao
In this paper, we study the pointwise convergence of centain continuous-time polynomial ergodic averages. Our approach is based on the topological models of measurable flows. One o…