2 papers
math.DS2025
Irregular sets for a class of skew product transformations
Nian Liu, Xue Liu
In this paper, we study the irregular set of any continuous observable for a class of skew product transformations, which is driven by a uniquely ergodic homeomorphism system $(Ω,…
math.DS2024
On the variational principle for a class of skew product transformations
Nian Liu, Xue Liu
In this paper, we establish a variational principle, between the fiber Bowen's topological entropy on conditional level sets of Birkhoff average and fiber measure-theoretical entro…