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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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