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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Topological conditional entropy for amenable group actions
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by Xiaoyao Zhou, Yaqing Zhang and Ercai Chen PDF
Proc. Amer. Math. Soc. 143 (2015), 141-150 Request permission

Abstract:

We introduce the topological conditional entropy for countable discrete amenable group actions and establish a variational principle for it.
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Additional Information
  • Xiaoyao Zhou
  • Affiliation: School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing 210023, Jiangsu, People’s Republic of China
  • Email: zhouxiaoyaodeyouxian@126.com
  • Yaqing Zhang
  • Affiliation: School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing 210023, Jiangsu, People’s Republic of China
  • Email: zhangyaqing45@126.com
  • Ercai Chen
  • Affiliation: School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing 210023, Jiangsu, People’s Republic of China – and – Center of Nonlinear Science, Nanjing University, Nanjing 210093, Jiangsu, People’s Republic of China
  • Email: ecchen@njnu.edu.cn
  • Received by editor(s): December 4, 2012
  • Received by editor(s) in revised form: February 19, 2013
  • Published electronically: August 22, 2014
  • Communicated by: Yingfei Yi
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 141-150
  • MSC (2010): Primary 37D35, 37A35
  • DOI: https://doi.org/10.1090/S0002-9939-2014-12175-7
  • MathSciNet review: 3272739