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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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Semi-uniform sub-additive ergodic theorems for discontinuous skew-product transformations
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by Meirong Zhang, Zuohuan Zheng and Zhe Zhou PDF
Proc. Amer. Math. Soc. 141 (2013), 3195-3206 Request permission

Abstract:

In this paper we will establish some semi-uniform ergodic theorems for skew-product transformations with discontinuity from the point of view of topology. The main assumptions are that the discontinuity sets of transformations are neglected in some measure-theoretical sense. The theorems have extended the classical results which have been established for continuous dynamical systems.
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Additional Information
  • Meirong Zhang
  • Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of China
  • Email: mzhang@math.tsinghua.edu.cn
  • Zuohuan Zheng
  • Affiliation: Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
  • Email: zhzheng@amt.ac.cn
  • Zhe Zhou
  • Affiliation: Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
  • Email: zzhou@amss.ac.cn
  • Received by editor(s): January 26, 2011
  • Received by editor(s) in revised form: November 29, 2011
  • Published electronically: May 29, 2013
  • Communicated by: Yingfei Yi
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 3195-3206
  • MSC (2010): Primary 37A20; Secondary 28A35, 58D05
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11580-7
  • MathSciNet review: 3068972