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

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

2001-05-27

arxiv.org/abs/math/0105222v1

Mathematics

Dynamical Systems

34 pages, no figures, first version

Scientific paper

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.)

Affiliated with

Also associated with

No associations

Rating

Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-227129