Multifractal Level Sets and Metric Mean Dimension with Potential

• Tianlong Zhang ^[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. 25, Nº 1, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Let (X, f ) be a dynamical system possessing the specification property, and let ϕ be a continuous function. In this paper, we establish several conditional variational principles for the upper and lower Bowen/packing metric mean dimensions with potential, associated with the multifractal level set Kα := {x ∈ X : limn→∞ 1 n n−1 i=0 ϕ( f i x) = α}.

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