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

• Mengxin Cui ^[1] ; Zhiming Li ^[1]
  1. [1] Northwest University

     Northwest University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 4, 2023
• Idioma: inglés
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• Resumen

  • 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.