Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems

Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems

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...

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Bibliographic Details
Main Authors: Xianfeng Ma, Zhongyue Wang, Hailin Tan
Format: Article
Language:English
Published: MDPI AG 2020-02-01
Series:Mathematics
Subjects:
random dynamical systems
variational principle
subadditive pre-image topological pressure
Online Access:https://www.mdpi.com/2227-7390/8/3/309
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spelling doaj-e53100f719aa459a82919cc31f4c2ab72020-11-25T02:56:04ZengMDPI AGMathematics2227-73902020-02-018330910.3390/math8030309math8030309Subadditive Pre-Image Variational Principle for Bundle Random Dynamical SystemsXianfeng Ma0Zhongyue Wang1Hailin Tan2Department of Mathematics, East China University of Science and Technology, Shanghai 200237, ChinaDepartment of Mathematics, East China University of Science and Technology, Shanghai 200237, ChinaDepartment of Mathematics, East China University of Science and Technology, Shanghai 200237, ChinaA 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.https://www.mdpi.com/2227-7390/8/3/309random dynamical systemsvariational principlesubadditive pre-image topological pressure
collection DOAJ
language English
format Article
sources DOAJ
author Xianfeng Ma
Zhongyue Wang
Hailin Tan
spellingShingle Xianfeng Ma
Zhongyue Wang
Hailin Tan
Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems
Mathematics
random dynamical systems
variational principle
subadditive pre-image topological pressure
author_facet Xianfeng Ma
Zhongyue Wang
Hailin Tan
author_sort Xianfeng Ma
title Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems
title_short Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems
title_full Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems
title_fullStr Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems
title_full_unstemmed Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems
title_sort subadditive pre-image variational principle for bundle random dynamical systems
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-02-01
description 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.
topic random dynamical systems
variational principle
subadditive pre-image topological pressure
url https://www.mdpi.com/2227-7390/8/3/309
work_keys_str_mv AT xianfengma subadditivepreimagevariationalprincipleforbundlerandomdynamicalsystems
AT zhongyuewang subadditivepreimagevariationalprincipleforbundlerandomdynamicalsystems
AT hailintan subadditivepreimagevariationalprincipleforbundlerandomdynamicalsystems
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