Semiconjugacies between the Julia sets of geometrically finite rational maps II

  • Tomoki Kawahira

    Nagoya University, Nagoya, Japan
Semiconjugacies between the Julia sets of geometrically finite rational maps II cover
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Abstract

For a geometrically finite rational map f, there exists a perturbation into another geometrically finite rational map which preserves the dynamics on the Julia set nicely. Indeed, we can perturb parabolic cycles of f into attracting cycles and repelling cycles in any combination.