Buried Julia Components and Julia Sets

• Wang, Youming ^[1] ; Zhan, Guoping ^[2] ; Liao, Liangwen ^[3]
  1. [1] Hunan Agricultural University

     Hunan Agricultural University

     China

     
  2. [2] Zhejiang University of Technology

     Zhejiang University of Technology

     China

     
  3. [3] Nanjing University

     Nanjing University

     China

     

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 1, 2022
• Idioma: inglés
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• Resumen

  • Let f be a hyperbolic rational map with degree d≥2 whose Julia set is connected. We give an elementary approach to prove that there exists a rational map g with degree ≤7d−2 such that g contains a buried Julia component which is homeomorphic to the Julia set of f.