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Mean Topological Dimension for random bundle transformations
Junqi Yang, Xianfeng Ma, Ercai Chen
We introduce the mean topological dimension for random bundle transformations, and show that continuous bundle random dynamical systems with finite topological entropy, or the smal…
Relative tail entropy for random bundle transformations
Xianfeng Ma, Ercai Chen
We introduce the relative tail entropy to establish a variational principle for continuous bundle random dynamical systems. We also show that the relative tail entropy is conserved…
A local variational principle for random bundle transformations
Xianfeng Ma, Ercai Chen
We introduce local topological entropy and two kinds of local measure-theoretic entropy and …
Topological pressures for -stable and stable sets
Xianfeng Ma, Ercai Chen
Topological pressures of the preimages of -stable sets and some certain closed subsets of stable sets in positive entropy systems are investigated. It is showed that the topolog…
Pre-image Variational Principle for Bundle Random Dynamical Systems
Xianfeng Ma, Ercai Chen
The pre-image topological pressure is defined for bundle random dynamical systems. A variational principle for it has also been given.
Variational principle for subadditive sequence of potentials in bundle RDS
Xianfeng Ma, Ercai Chen
The topological pressure is defined for subadditive sequence of potentials in bundle random dynamical systems. A variational principle for the topological pressure is set up in a v…