Infinitely Renormalizable Quadratic Polynomials
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- by Yunping Jiang
- Trans. Amer. Math. Soc. 352 (2000), 5077-5091
- DOI: https://doi.org/10.1090/S0002-9947-00-02514-9
- Published electronically: July 12, 2000
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Abstract:
We prove that the Julia set of a quadratic polynomial which admits an infinite sequence of unbranched, simple renormalizations with complex bounds is locally connected. The method in this study is three-dimensional puzzles.References
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Bibliographic Information
- Yunping Jiang
- Affiliation: Department of Mathematics, CUNY Graduate Center, 365 Fifth Avenue, New York, New York 10016 and Department of Mathematics, Queens College of CUNY, Flushing, New York 11367
- MR Author ID: 238389
- Email: yunqc@jiang.math.qc.edu
- Received by editor(s): September 25, 1997
- Received by editor(s) in revised form: January 14, 1999
- Published electronically: July 12, 2000
- Additional Notes: The author is supported in part by grants from the NSF and from the PSC-CUNY
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 5077-5091
- MSC (2000): Primary 37Fxx; Secondary 37E20
- DOI: https://doi.org/10.1090/S0002-9947-00-02514-9
- MathSciNet review: 1675198