Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (3): 587-591.

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Upper Local Entropy of Measures and Like-Bowen Entropy of Sets

Dai Yuxia   

  1. School of Mathematics and Statistics, Hubei University, Wuhan 430062
  • Received:2014-04-03 Revised:2014-08-27 Online:2015-06-25 Published:2015-06-25

Abstract:

Let f be a continuous map on a metric space (X,d). In this paper, we show that the like-Bowen entropy of subsets X with respect to f can be determined via the upper local entropy of measures.

Key words: Bowen entropy, Like-Bowen entropy, Upper local entropy

CLC Number: 

  • O211
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