26 citations · 71 across the 35 of their papers we have counts for
4 papers · 1 filter
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…
Polynomial Furstenberg joinings and its applications
Wen Huang, Song Shao, Xiangdong Ye
In this paper, a polynomial version of Furstenberg joining is introduced and its structure is investigated. Particularly, it is shown that if all polynomials are non-linear, then a…
Topological dynamical systems induced by polynomials and combinatorial consequences
Wen Huang, Song Shao, Xiangdong Ye
Let and be an integral polynomial with , . It is shown that if is piecewise syndetic in , then $$\{(m,n)\in{\mathbb Z…
A counterexample on polynomial multiple convergence without commutativity
Wen Huang, Song Shao, Xiangdong Ye
It is shown that for polynomials with there exist a probability space , two ergodic measure…