Resumen de A Variational Principle of the Topological Pressures for Non-autonomous Iterated Function Systems

Mengxin Cui, Zhiming Li

• In this paper, the definitions of measure-theoretic pressures, Pesin–Pitskel topological pressures and weighted topological pressures are introduced for non-autonomous iterated function systems. It is shown that Pesin–Pitskel topological pressures and weighted topological pressures coincide. The main purpose of this paper is to establish a variational principle between the Pesin–Pitskel topological pressure and the measure-theoretic pressure of Borel probability measures for non-autonomous iterated function systems.