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A spectral representation for the entropy of random dynamical systems.

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Title: A spectral representation for the entropy of random dynamical systems.
Authors: Rahimi, M.1 (AUTHOR) m10.rahimi@gmail.com, Bidabadi, N.1 (AUTHOR)
Source: Dynamical Systems: An International Journal. Sep2025, Vol. 40 Issue 3, p455-470. 16p.
Subjects: Entropy, Random dynamical systems, Operator theory, Entropy (Information theory), Spectral theory, Hilbert space
Abstract: We study the entropy of a random dynamical system from an operator theoretical view point. We define skew and noise entropy exponents, using linear operators on some Hilbert spaces. Then we express the entropy of a random dynamical system in terms of the skew and noise entropy exponents. [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.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 187348021
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: A spectral representation for the entropy of random dynamical systems.
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  Data: <searchLink fieldCode="AR" term="%22Rahimi%2C+M%2E%22">Rahimi, M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> m10.rahimi@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Bidabadi%2C+N%2E%22">Bidabadi, N.</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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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, p455-470. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Entropy%22">Entropy</searchLink><br /><searchLink fieldCode="DE" term="%22Random+dynamical+systems%22">Random dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+theory%22">Operator theory</searchLink><br /><searchLink fieldCode="DE" term="%22Entropy+%28Information+theory%29%22">Entropy (Information theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Spectral+theory%22">Spectral theory</searchLink><br /><searchLink fieldCode="DE" term="%22Hilbert+space%22">Hilbert space</searchLink>
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  Label: Abstract
  Group: Ab
  Data: We study the entropy of a random dynamical system from an operator theoretical view point. We define skew and noise entropy exponents, using linear operators on some Hilbert spaces. Then we express the entropy of a random dynamical system in terms of the skew and noise entropy exponents. [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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        Value: 10.1080/14689367.2025.2475860
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      – Code: eng
        Text: English
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        PageCount: 16
        StartPage: 455
    Subjects:
      – SubjectFull: Entropy
        Type: general
      – SubjectFull: Random dynamical systems
        Type: general
      – SubjectFull: Operator theory
        Type: general
      – SubjectFull: Entropy (Information theory)
        Type: general
      – SubjectFull: Spectral theory
        Type: general
      – SubjectFull: Hilbert space
        Type: general
    Titles:
      – TitleFull: A spectral representation for the entropy of random dynamical systems.
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            NameFull: Rahimi, M.
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            NameFull: Bidabadi, N.
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            – D: 01
              M: 09
              Text: Sep2025
              Type: published
              Y: 2025
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            – TitleFull: Dynamical Systems: An International Journal
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