On the hyperbolicity of the Feigenbaum fixed point

Mathematics – Dynamical Systems

Scientific paper

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11 pages, including the note "Infinitesimal contraction of the Feigenbaum renormalization operator in the horizontal direction

Scientific paper

We show the hyperbolicity of the Feigenbaum fixed point using the
inflexibility of the Feigenbaum tower, the Man\~e-Sad-Sullivan $\lambda$-Lemma
and the existence of parabolic domains (petals) for semi-attractive fixed
points.

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