Variational principle for subsequential Bowen entropy and variational inequalities for subsequential packing entropy

• Yulu Ma ^[1] ; Xiaoxiao Nie ^[1] ; Jiandong Yin ^[1]
  1. [1] Nanchang University

     Nanchang University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 6, 2025
• Idioma: inglés
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• Resumen

  • Let X be a compact metric space and T : X → X be a continuous map. In this paper, we define a metric similar to Bowen’s metric on X via a given sequence of non-negative integers. Using this metric, we introduce the concepts of subsequential Bowen topological entropy and subsequential packing topological entropy. Moreover, we establish a variational principle linking subsequential Bowen entropy to its measure-theoretic counterpart and two variational inequalities connecting subsequential packing entropy to two distinct measure-theoretic entropies.