Dynamics of certain smooth one-dimensional mappings I: The C1+α-Denjoy-Koebe distortion lemma
Yunping Jiang
Abstract
We prove a technical lemma, the C1+α-Denjoy-Koebe distortion lemma, estimating the distortion of a long composition of a C1+α one-dimensional mapping f:M M with finitely many, non-recurrent, power law critical points. The proof of this lemma combines the ideas of the distortion lemmas of Denjoy and Koebe.
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