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arXiv:math/9711216 [math.DS]AbstractReferencesReviewsResources

Geometry of the Feigenbaum map

Xavier Buff

Published 1997-11-15, updated 1998-08-11Version 2

We show that the Feigenbaum-Cvitanovic equation can be interpreted as a linearizing equation, and the domain of analyticity of the Feigenbaum fixed point of renormalization as a basin of attraction. There is a natural decomposition of this basin which enables to recover a result of local connectivity by Jiang and Hu for the Feigenbaum Julia set.

Comments: 14 pages, 7 figures
Categories: math.DS
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