Pre-image Variational Principle for Bundle Random Dynamical Systems
Xianfeng Ma, Ercai Chen
TL;DR
This paper introduces the pre-image topological pressure for bundle random dynamical systems and establishes a variational principle relating it to measure-theoretic concepts.
Contribution
It defines the pre-image topological pressure for bundle random dynamical systems and proves a variational principle connecting it to measure-theoretic pressure.
Findings
Established the definition of pre-image topological pressure for bundle systems.
Proved a variational principle linking topological and measure-theoretic pressures.
Provided a theoretical framework for analyzing complexity in random dynamical systems.
Abstract
The pre-image topological pressure is defined for bundle random dynamical systems. A variational principle for it has also been given.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Mathematical Modeling in Engineering