4 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…
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…
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…
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…