On the Complexity of Expansive Measures

On the Complexity of Expansive Measures

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摘要 We prove that the existence of positively expansive measures for continuous maps on compact metric spaces implies the existence of e 〉 0 and a sequence of （m, e）-separated sets whose cardinalities go to infinite as m →∞. We then prove that maps exhibiting such a constant e and the positively expansive maps share some properties. We prove that the existence of positively expansive measures for continuous maps on compact metric spaces implies the existence of e 〉 0 and a sequence of （m, e）-separated sets whose cardinalities go to infinite as m →∞. We then prove that maps exhibiting such a constant e and the positively expansive maps share some properties.

作者 C.A.MORALES

机构地区 Instituto de Matem'atica

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第9期1501-1507,共7页 数学学报（英文版）

基金 Supported by CNPq,FAPERJ and PRONEX/DS from Brazil

关键词 Positively expansive measure COMPLEXITY compact metric space Positively expansive measure, complexity, compact metric space

分类号 O189.11 [理学—基础数学] O189.1 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2015年第9期

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On the Complexity of Expansive Measures

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