A comparison of topological entropies for nonautonomous dynamical systems

We study the distance entropy, Bowen topological entropy, and the classical topological entropy of nonautonomous dynamical systems. We show, in particular, that the distance entropy, Bowen entropy, Pesin entropy and the classical entropy are equivalent when the system is weakly mixing. Furthermore, we investigate the relationship between distance entropy and Hausdorff dimension on subsets from several aspects in detail.