Institute for Mathematical Sciences
Geometry of the Feigenbaum map.
Abstract: 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.
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