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The inverse variational principle in random dynamical systems.

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Title: The inverse variational principle in random dynamical systems.
Authors: Ye, Xiaojiang1 (AUTHOR), Ma, Dongkui1 (AUTHOR) dkma@scut.edu.cn
Source: Dynamical Systems: An International Journal. Sep2025, Vol. 40 Issue 3, p391-413. 23p.
Subjects: Random dynamical systems, Variational principles, Topological spaces, Topological dynamics, Parameterization
Abstract: This paper introduces the concepts of upper and lower capacity topological pressure for non-compact sets into the context of random dynamical systems. Subsequently, we investigate their properties and establish their measurability, demonstrating that these concepts are well-defined. Finally, we derive the inverse variational principle for random dynamical systems. [ABSTRACT FROM AUTHOR]
Copyright of Dynamical Systems: An International Journal is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Header DbId: egs
DbLabel: Engineering Source
An: 187348018
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  Data: The inverse variational principle in random dynamical systems.
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  Data: <searchLink fieldCode="AR" term="%22Ye%2C+Xiaojiang%22">Ye, Xiaojiang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ma%2C+Dongkui%22">Ma, Dongkui</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> dkma@scut.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Dynamical+Systems%3A+An+International+Journal%22">Dynamical Systems: An International Journal</searchLink>. Sep2025, Vol. 40 Issue 3, p391-413. 23p.
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  Data: <searchLink fieldCode="DE" term="%22Random+dynamical+systems%22">Random dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Variational+principles%22">Variational principles</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+spaces%22">Topological spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+dynamics%22">Topological dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Parameterization%22">Parameterization</searchLink>
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  Label: Abstract
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  Data: This paper introduces the concepts of upper and lower capacity topological pressure for non-compact sets into the context of random dynamical systems. Subsequently, we investigate their properties and establish their measurability, demonstrating that these concepts are well-defined. Finally, we derive the inverse variational principle for random dynamical systems. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Dynamical Systems: An International Journal is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1080/14689367.2025.2470738
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 23
        StartPage: 391
    Subjects:
      – SubjectFull: Random dynamical systems
        Type: general
      – SubjectFull: Variational principles
        Type: general
      – SubjectFull: Topological spaces
        Type: general
      – SubjectFull: Topological dynamics
        Type: general
      – SubjectFull: Parameterization
        Type: general
    Titles:
      – TitleFull: The inverse variational principle in random dynamical systems.
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      – PersonEntity:
          Name:
            NameFull: Ye, Xiaojiang
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            NameFull: Ma, Dongkui
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          Dates:
            – D: 01
              M: 09
              Text: Sep2025
              Type: published
              Y: 2025
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              Value: 40
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            – TitleFull: Dynamical Systems: An International Journal
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