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Title of Journal: Acta Math SinEnglish Ser

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Abbravation: Acta Mathematica Sinica, English Series

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Springer Berlin Heidelberg

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DOI

10.1007/s001040050792

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1439-7617

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On an entropy of ℤStackSubscript+/Subscript

Authors: Yu Jun Zhu Wen Da Zhang
Publish Date: 2014/02/15
Volume: 30, Issue: 3, Pages: 467-480
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Abstract

In this paper a definition of entropy for ℤ + k k ≥ 2actions due to Friedland is studied Unlike the traditional definition it may take a nonzero value for actions whose generators have finite even zero entropy as single transformations Some basic properties are investigated and its value for the ℤ + k actions on circles generated by expanding endomorphisms is given Moreover an upper bound of this entropy for the ℤ + k actions on tori generated by expanding endomorphisms is obtained via the preimage entropies which are entropylike invariants depending on the “inverse orbits” structure of the systemSupported by National Natural Science Foundation of China Grant No 11071054 the Key Project of Chinese Ministry of Education Grant No 211020 the Program for New Century Excellent Talents in University Grant No 110935 and the Project Sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars State Education Ministry Grant No 11126011

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  2. The bipolar quantum drift-diffusion model
  3. Free completely J ( ℓ ) -simple Semigroups
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