Continuum-wise expansivity and entropy for flows

被引：4
|
作者：
Arbieto, Alexander [1 ]
Cordeiro, Welington [2 ]
Pacifico, Maria Jose [1 ]
机构：
[1] Univ Fed Rio de Janeiro, Inst Matemat, CP 68-530, BR-21945970 Rio De Janeiro, RJ, Brazil
[2] IMPA, Estr Dona Castorina 110, BR-22460 Rio De Janeiro, RJ, Brazil
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2019年 / 39卷
关键词：
HOMEOMORPHISMS;
D O I：
10.1017/etds.2017.79
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define the concept of continuum-wise expansivity for flows, and we prove that continuum-wise expansive flows on compact metric spaces with topological dimension greater than one have positive entropy.
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页码：1190 / 1210
页数：21
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