Hyperbolicity is dense in the real quadratic family
Dynamical Systems
2009-09-25 v1
Abstract
It is shown that for non-hyperbolic real quadratic polynomials topological and quasisymmetric conjugacy classes are the same. By quasiconformal rigidity, each class has only one representative in the quadratic family, which proves that hyperbolic maps are dense.
Keywords
Cite
@article{arxiv.math/9207219,
title = {Hyperbolicity is dense in the real quadratic family},
author = {Grzegorz Swiatek},
journal= {arXiv preprint arXiv:math/9207219},
year = {2009}
}