On biaccessible points in the Julia set of a Cremer quadratic polynomial
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- by Dierk Schleicher and Saeed Zakeri PDF
- Proc. Amer. Math. Soc. 128 (2000), 933-937 Request permission
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.References
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Additional Information
- Dierk Schleicher
- Affiliation: Fakultät für Mathematik, Technische Universität München, Barer Strasse 23, D-80290 München, Germany
- MR Author ID: 359328
- Email: dierk@mathematik.tu-muenchen.de
- Saeed Zakeri
- Affiliation: Department of Mathematics, SUNY at Stony Brook, New York 11794-3651
- Email: zakeri@math.sunysb.edu
- Received by editor(s): February 19, 1998
- Received by editor(s) in revised form: May 9, 1998
- Published electronically: July 28, 1999
- Communicated by: Michael Handel
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 933-937
- MSC (1991): Primary 58F23; Secondary 30D40
- DOI: https://doi.org/10.1090/S0002-9939-99-05111-4
- MathSciNet review: 1637424