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 2021Show all

3 papers · 1 filter

math.DS2021

Almost proximal extensions of minimal flows

Yang Cao, Song Shao

In this paper we study almost proximal extensions of minimal flows. Let $π : (X, T) \to (Y, T)$ be an extension of minimal flows. $π$ is called an almost proximal extension if…

math.DS2021

Multiply minimal points for the product of iterates

Wen Huang, Song Shao, Xiangdong Ye

The multiple Birkhoff recurrence theorem states that for any $d \in N$ , every system $(X, T)$ has a multiply recurrent point $x$ , i.e. $(x, x, \dots, x)$ is recurrent under $τ_…

math.DS2021

Topological mild mixing of all orders along polynomials

Yang Cao, Song Shao

A minimal system $(X, T)$ is topologically mildly mixing if all non-empty open subsets $U, V$ , ${n \in Z : U \cap T^{- n} V \neq = \emptyset}$ is an IP $^{*}$ -set. In this paper we show that…