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arXiv:math/0105222 [math.DS]AbstractReferencesReviewsResources

Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family

Artur Avila, Carlos Gustavo Moreira

Published 2001-05-27Version 1

We consider quasisymmetric reparametrizations of the parameter space of the quadratic family. We prove that the set of quadratic maps which are either regular or Collet-Eckmann with polynomial recurrence of the critical orbit has full Lebesgue measure. (The intent of this work is just to be a rigorous reference for the companion preprint Statistical properties of unimodal maps: smooth families with negative Schwarzian derivative. It is based on the LaTeX file of the paper Statistical properties of unimodal maps: the quadratic family. The proofs are very similar and in many places differ just by change of constants.)

Comments: 34 pages, no figures, first version
Categories: math.DS
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