The solar Julia sets of basic quadratic Cremer polynomials

被引：3
|
作者：
Blokh, A. [1 ]
Buff, X. [2 ,3 ]
Cheritat, A. [2 ,3 ]
Oversteegen, L. [1 ]
机构：
[1] Univ Alabama Birmingham, Dept Math, Birmingham, AL 35294 USA
[2] Univ Toulouse, UPS, INSA, Inst Math Toulouse,UTI,UTM, F-31062 Toulouse, France
[3] CNRS, Inst Math Toulouse, UMR 5219, F-31062 Toulouse, France
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2010年 / 30卷
关键词：
INDECOMPOSABLE CONTINUA; CRITICAL-POINTS; LAMINATIONS; CIRCLE;
D O I：
10.1017/S0143385708000990
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In general, little is known about the exact topological structure of Julia sets containing a Cremer point. In this paper we show that there exist quadratic Cremer Julia sets of positive area such that for a full Lebesgue measure set of angles the impressions are degenerate, the Julia set is connected im kleinen at the landing points of these rays, and these points are contained in no other impression.
引用
收藏
页码：51 / 65
页数：15
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