Thermodynamic quantities of non-autonomous discrete dynamical systems

In this paper, we study the thermodynamic quantities of non-autonomous discrete dynamical systems given by a sequence of continuous maps on a compact metric space. We show that every non-autonomous discrete dynamical system of surjective continuous maps that enjoys the specification property has positive topological entropy and all points are entropy points; in particular, it is topologically chaotic. Also, we show that the topological pressure of any continuous potential can be computed as a limit at a definite size scale for every non-autonomous discrete dynamical system that enjoys the∗-expansive property. Finally, we introduce a special class of non-autonomous discrete dynamical systems having the ∗-expansive property