A spectral representation for the entropy of random dynamical systems.

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Bibliographic Details
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]
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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]
ISSN:14689367
DOI:10.1080/14689367.2025.2475860