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Resumen de Cubic Rational Maps with Escaping Critical Points, Part I: Julia Set Dichotomy in the Case of an Attracting Fixed Point

Jun Hu, Arkady Etkin

  • The Julia set of any quadratic rational map is either connected or a Cantor set. In this paper, we extend this dichotomy to any cubic rational map with all critical points escaping to an attracting fixed point.


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