Hyperbolicity is dense in the real quadratic family

Details Hyperbolicity is dense in the real quadratic family Hyperbolicity is dense in the real quadratic family

1992-07-06

arxiv.org/abs/math/9207219v1

Mathematics

Dynamical Systems

Scientific paper

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.

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