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Critical portraits for postcritically finite polynomials

Volume 203 / 2009

Alfredo Poirier Fundamenta Mathematicae 203 (2009), 107-163 MSC: Primary 37F10; Secondary 37E15. DOI: 10.4064/fm203-2-2

Abstract

We extend the work of Bielefeld, Fisher and Hubbard on critical portraits to arbitrary postcritically finite polynomials. This gives the classification of such polynomials as dynamical systems in terms of their external ray behavior.

Authors

  • Alfredo PoirierSección Matemáticas
    Departamento de Ciencias
    Pontificia Universidad Católica del Perú
    Apartado 1761
    Lima 100, Perú
    e-mail

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