Topological and almost Borel universality for systems with the weak specification property

被引：9

作者：

Burguet, David ^{[1
]}

机构：

[1] Univ Paris 06, LPMA, CNRS UMR 7599, F-75252 Paris 05, France

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2020年 / 40卷 / 08期

关键词：

entropy; weak specification; universal systems; ENTROPY; GENERATORS;

D O I：

10.1017/etds.2019.7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that systems with some specification properties are topologically or almost Borel universal, in the sense that any aperiodic subshift with lower entropy may be topologically or almost Borel embedded. This improves, with elementary tools, previous results of Quas and Soo [Ergodic universality of some topological dynamical systems.Trans. Amer. Math. Soc.368(2016), 4137-4170].

引用

页码：2098 / 2115

页数：18

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