Institute for Mathematical Sciences

Preprint ims98-1b

D. Schleicher and S. Zakeri
On Biaccessible Points in the Julia set of a Cremer Quadratic Polynomial

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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