Topological Pressure of Non-Autonomous Iterated Function Systems for Non-Compact Sets

• Zhongxuan Yang ^[1] ; Xiaojun Huang ^[1]
  1. [1] Chongqing University

     Chongqing University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 4, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this manuscript, we introduce the topological pressure and the capacity topological pressure of non-autonomous iterated function systems via the Carathéodory–Pesin structure. Some properties of these pressures are established. Subsequently, we discuss the relationship between the upper capacity topological pressure of a skew-product transformation and a non-autonomous iterated function system for an arbitrary subset.

    Finally, we give lower and upper estimates of the topological pressure of nonautonomous iterated function systems using local pressure.

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