Expansive Measures of Nonautonomous Iterated Function Systems

• Mengxin Cui ^[1] ; Bilel Selmi ^[2] ; Zhiming Li ^[3]
  1. [1] Beijing University of Posts and Telecommunications

     Beijing University of Posts and Telecommunications

     China

     
  2. [2] University of Monastir

     University of Monastir

     Túnez

     
  3. [3] Northwest University

     Northwest University

     China

     

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 2, 2025
• Idioma: inglés
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• Resumen

  • In this paper, we explore expansive measures and expansiveness within the context of nonautonomous iterated function systems. Specifically, we demonstrate that the set of expansive measures for any nonautonomous iterated function system forms a Gδσ subset of the set of all Borel measures.