Polynomial Entropy of Induced Maps of Circle and Interval Homeomorphisms

• Maša Doric ^[2] ; Jelena Katic ^[1]
  1. [1] University of Belgrade

     University of Belgrade

     Serbia

     
  2. [2] Matematicki institut SANU
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
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• Resumen

  • We compute the polynomial entropy of the induced maps on hyperspace for a homeomorphism f of an interval or a circle with finitely many non-wandering points. Also, we give a generalization for the case of an interval homeomorphism with an infinite non-wandering set.