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. |
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| 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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| 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] |
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| ISSN: | 14689367 |
| DOI: | 10.1080/14689367.2025.2475860 |