%0 Journal Article
%T Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family
%A Artur Avila
%A Carlos Gustavo Moreira
%J Mathematics
%D 2001
%I arXiv
%X 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.)
%U http://arxiv.org/abs/math/0105222v1