On biaccessible points in the Julia set of a Cremer quadratic polynomial

Details On biaccessible points in the Julia set of a Cremer quadratic polynomial On biaccessible points in the Julia set of a Cremer quadratic polynomial

1998-01-15

arxiv.org/abs/math/9801149v1

Proceedings of the American Mathematical Society 128 (2000), 933-937.

Mathematics

Dynamical Systems

Scientific paper

We prove that the only possible biaccessible points in the Julia set of a
Cremer quadratic polynomial are the Cremer fixed point and its preimages. This
gives a partial answer to a question posed by C. McMullen on whether such a
Julia set can contain any biaccessible point at all

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