Infinitely renormalizable quadratic polynomials

被引：12
|
作者：
Jiang, YP
机构：
[1] CUNY, Grad Ctr, Dept Math, New York, NY 10016 USA
[2] CUNY Queens Coll, Dept Math, Flushing, NY 11367 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 352卷 / 11期
关键词：
Julia set; local connectivity; two-dimensional puzzle; three-dimensional puzzle; infinitely renormalizable quadratic polynomial; complex bounds; unbranched;
D O I：
10.1090/S0002-9947-00-02514-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：5077 / 5091
页数：15
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