A Variational Principle of the Deformed Entropy

• Hu Chen ^[1] ; Zhiming Li ^[2]
  1. [1] Sun Yat-sen University

     Sun Yat-sen University

     China

     
  2. [2] Northwest University

     Northwest University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 1, 2025
• Idioma: inglés
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• Resumen

  • We introduce the notions of packing entropy and local entropy with respect to the deformed metric. In particular, a variational principle between deformed packing entropy and deformed local entropy is established. Finally, we obtain an inequality of the deformed packing entropy with respect to the factor map, which extends Bowen’s classical result.