Directional Preimage Entropy for Z_k
Received:November 12, 2018  Revised:May 04, 2019
Key Word: Z_action   directional preimage entropy   infinite graph  
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Author NameAffiliationE-mail
Yanan Gao Hebei Foreign Studies University yanangaos@163.com 
Ziyao Zhang Hanjiang Normal University zhangzy103993@foxmail.com 
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Abstract:
      In this paper, a new type of entropy, directional preimage entropy in- cluding topological and measure throretic versions for Z k + -actions, is introduced. Some of their properties including relationships and the invariance are obtained. Moreover, several systems including Z k + -actions generated by the expanding maps, Z k + -actions defined on finite graphs and some infinite graphs with zero directional preimage branch entropy are studied.
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