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math.DS2019★ 1 cited
Top-nilpotent enveloping semigroups and pro-nilsystems
Jiahao Qiu, Jianjie Zhao
In this paper, it is shown that for , a minimal system is a -step pro-nilsystem if its enveloping semigroup is a -step top-nilpotent group, answering…
math.DS2019
Null systems in the non-minimal case
Jiahao Qiu, Jianjie Zhao
In this paper, it is shown that if a dynamical system is null and distal, then it is equicontinuous. It turns out that a null system with closed proximal relation is mean equiconti…