Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems

Xianfeng Ma, Zhongyue Wang and Hailin Tan
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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

Mathematics, 2020, vol. 8, issue 3, 1-18

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.

Keywords: random dynamical systems; variational principle; subadditive pre-image topological pressure (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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