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<p>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 non-autonomous iterated function systems using local pressure.</p>

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

  • 期刊论文

  • 发表日期：

    2025年7月10日

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  • Zhongxuan Yang,
  • Xiaojun Huang

摘要

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 non-autonomous iterated function systems using local pressure.