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arxiv: math/0301118 · v1 · pith:RFZGRY5Lnew · submitted 2003-01-11 · 🧮 math.DS · math.CV

On the hyperbolicity of the Feigenbaum fixed point

classification 🧮 math.DS math.CV
keywords feigenbaumfixedhyperbolicitypointdomainse-sad-sullivanexistenceinflexibility
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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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