115 citations · 475 across the 48 of their papers we have counts for
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math.DS2009
Product recurrent properties, disjointness and weak disjointness
Pandeng Dong, Song Shao, Xiangdong Ye
Let $\F$ be a collection of subsets of and be a dynamical system. is $\F$-recurrent if for each neighborhood of , $\{n\in\Z_+:T^n x\in U\}\in \F$. $x…
math.DS2009
Family-independence for topological and measurable dynamics
Wen Huang, Hanfeng Li, Xiangdong Ye
For a family F (a collection of subsets of Z_+), the notion of F-independence is defined both for topological dynamics (t.d.s.) and measurable dynamics (m.d.s.). It is shown that t…
math.DS2009
Sufficient conditions under which a transitive system is chaotic
E. Akin, E. Glasner, W. Huang +2
Let (X,T) be a topologically transitive dynamical system. We show that if there is a subsystem (Y,T) of (X,T) such that (X\times Y, T\times T) is transitive, then (X,T) is strongly…