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Keywords = subadditive pre-image topological pressure

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18 pages, 318 KiB  
Article
Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems
by Xianfeng Ma, Zhongyue Wang and Hailin Tan
Mathematics 2020, 8(3), 309; https://doi.org/10.3390/math8030309 - 27 Feb 2020
Cited by 1 | Viewed by 2183
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 [...] Read more.
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. Full article
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