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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]
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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]
ISSN:14689367
DOI:10.1080/14689367.2025.2470738