P. Dong

collaborators

2 papers

math.DS2011

Infinite-step nilsystems, independence and complexity

P. D. Dong, S. Donoso, A. Maass +2

An $\infty$ -step nilsystem is an inverse limit of minimal nilsystems. In this article is shown that a minimal distal system is an $\infty$ -step nilsystem if and only if it has no n…

math.DS2009

Product recurrent properties, disjointness and weak disjointness

Pandeng Dong, Song Shao, Xiangdong Ye

Let $\F$ be a collection of subsets of $Z_{+}$ and $(X, T)$ be a dynamical system. $x \in X$ is $\F$-recurrent if for each neighborhood $U$ of $x$ , $\{n\in\Z_+:T^n x\in U\}\in \F$. $x…