Bowen’s Specification Property for Induced Dynamics on Spaces of Random Probability Measures

• Xue Liu ^[1] ; Xiao Ma ^[2]
  1. [1] Southeast University

     Southeast University

     China

     
  2. [2] University of Science and Technology of China

     University of Science and Technology of China

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 2, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We study Bowen’s specification property (abbr. BSP) for induced systems on the space of random probability measures arising from skew product dynamics. We prove that if the skew product system satisfies the random BSP, then the induced system on the space of random probability measures with a given marginal measure possesses the BSP. This result can be applied to a broad class of partially hyperbolic systems, and the skew product system generated by random perturbations of topologically mixing Anosov diffeomorphisms.

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