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Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems

Author

Listed:
  • Xianfeng Ma

    (Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China)

  • Zhongyue Wang

    (Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China)

  • Hailin Tan

    (Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China)

Abstract

A central role in the variational principle of the measure preserving transformations is played by the topological pressure. We introduce subadditive pre-image topological pressure and pre-image measure-theoretic entropy properly for the random bundle transformations on a class of measurable subsets. On the basis of these notions, we are able to complete the subadditive pre-image variational principle under relatively weak conditions for the bundle random dynamical systems.

Suggested Citation

  • Xianfeng Ma & Zhongyue Wang & Hailin Tan, 2020. "Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems," Mathematics, MDPI, vol. 8(3), pages 1-18, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:309-:d:325643
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    References listed on IDEAS

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    1. Cheng, Wen-Chiao, 2016. "Pre-image entropy for free semigroup actions," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 286-290.
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