α-estimation time-restricted sensitivity and entropies

• Yunxiang Xie ^[1]
  1. [1] Nanjing Normal University

     Nanjing Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 4, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Based on α-metric, we introduce the α-estimation measure-theoretic restricted sensitivity and α-estimation topological restricted sensitivity. For a given topological dynamical system, we relate the α-estimation measure-theoretic and topological asymptotic rates to the α-estimation Brin-Katok local entropy and the α-estimation topological entropy. Besides, we calculate these asymptotic rates for a class of symbolic systems.

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