Variational Principle for Neutralized Bowen Topological Entropy

• Rui Yang ^[1] ; Ercai Chen ^[1] ; Xiaoyao Zhou ^[1]
  1. [1] Nanjing Normal University

     Nanjing Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 4, 2024
• Idioma: inglés
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• Resumen

  • Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as Bn(x, e−n ) = {y ∈ X : d(T j x, T j y) < e−n , ∀0 ≤ j ≤ n − 1}.

    We introduce the notion of neutralized Bowen topological entropy of subsets by neutralized Bowen open ball, and establish variational principles for neutralized Bowen topological entropy of compact subsets in terms of neutralized Brin–Katok local entropy and neutralized Katok’s entropy