Abstract
This paper is devote to the investigation of fiber localized topological pressure for random dynamical systems. By establishing Katok’s pressure formula under the actions of random dynamical systems, we develop a variational principle between the fiber localized topological pressure and fiber localized measure-theoretic pressure.
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Acknowledgements
The authors would like to thank the referee for many useful comments. We also would like to express our gratitude to Tianyuan Mathematical Center in Southwest China(No. 11826102), Sichuan University and Southwest Jiaotong University for their support and hospitality
Funding
The first author was supported by NNSF of China (12201328), Natural Science Foundation of Zhejiang Province(LQ22A010012) and Ningbo Natural Science Foundation (2022J145). The second author was supported by NNSF of China (No. 12101340). The third author was supported by NNSF of China (No. 11901419)
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Wang, Y., Ji, Y. & Zhao, C. Localized Topological Pressure for Random Dynamical Systems. J Dyn Control Syst 29, 1757–1773 (2023). https://doi.org/10.1007/s10883-023-09658-w
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DOI: https://doi.org/10.1007/s10883-023-09658-w