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On biaccessible points in the Julia set of a Cremer quadratic polynomial |
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| Authors: | Dierk Schleicher Saeed Zakeri |
| Institution: | Fakultät für Mathematik, Technische Universität München, Barer Strasse 23, D-80290 München, Germany ; Department of Mathematics, SUNY at Stony Brook, New York 11794-3651 |
| 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. |
| Keywords: | Julia set Cremer point biaccessible point hedgehog |
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