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

Dierk Schleicher·Saeed Zakeri
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Abstract

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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Dierk Schleicher, Saeed Zakeri. 1998-01-15. On biaccessible points in the Julia set of a Cremer quadratic polynomial. https://arxiv.org/abs/math/9801149

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