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arXiv:math/0301118 [math.DS]AbstractReferencesReviewsResources

On the hyperbolicity of the Feigenbaum fixed point

Daniel Smania

Published 2003-01-11Version 1

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.

Comments: 11 pages, including the note "Infinitesimal contraction of the Feigenbaum renormalization operator in the horizontal direction", posted by the same author
Categories: math.DS, math.CV
Subjects: 37F25, 37F45, 37E20
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