S. Shao

activity

20092026

most citedPointwise convergence of multiple ergodic averages and strictly ergodic models

26 citations · 71 across the 35 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.DS2016★ 1 cited

Almost sure convergence of the multiple ergodic average for certain weakly mixing systems

Yonatan Gutman, Wen Huang, Song Shao +1

The family of pairwise independently determined (PID) systems, i.e. those for which the independent joining is the only self joining with independent 2-marginals, is a class of sys…

math.DS2016

A non-PI minimal system is Li-Yorke sensitive

Song Shao, Xiangdong Ye

It is shown that any non-PI minimal system is Li-Yorke sensitive. Consequently, any minimal system with nontrivial weakly mixing factor (such a system is non-PI) is Li-Yorke sensit…

math.DS2016★ 3 cited

Topological correspondence of multiple ergodic averages of nilpotent group actions

Wen Huang, Song Shao, Xiangdong Ye

Let $(X, Γ)$ be a topological system, where $Γ$ is a nilpotent group generated by $T_{1}, \dots, T_{d}$ such that for each $T \in Γ$ , $T \neq = e_{Γ}$ , $(X, T)$ is weakly mixing and minimal. F…