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 2019Show all

2 papers · 1 filter

math.DS2019

Regionally proximal relation of order $d$ along arithmetic progressions and nilsystems

Eli Glasner, Wen Huang, Song Shao +1

The regionally proximal relation of order $d$ along arithmetic progressions, namely $AP^{[d]}$ for $d \in N$ , is introduced and investigated. It turns out that if $(X, T)$ is…

math.DS2019★ 3 cited

Reducing the Sarnak Conjecture to Toeplitz systems

Wen Huang, Zhengxing Lian, Song Shao +1

In this paper, we show that for any sequence $a = (a_{n})_{n \in Z} \in {1, \dots, k}^{Z}$ and any $ε > 0$ , there exists a Toeplitz sequence ${\bf b}=(b_n)_{n\in \Z}\in \{1,…

Regionally proximal relation of order d along arithmetic progressions and nilsystems

Reducing the Sarnak Conjecture to Toeplitz systems

Regionally proximal relation of order $d$ along arithmetic progressions and nilsystems