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

页码：51 / 65

页数：15

共 50 条

[21] Describing quadratic Cremer point polynomials by parabolic perturbations
Sorensen, DEK
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1998, 18 : 739 - 758
[22] The topology of Julia sets for polynomials
尹永成
Science China Mathematics, 2002, (08) : 1020 - 1024
[23] Topology of Julia sets for polynomials
Yin, Yongcheng
Science in China, Series A: Mathematics, Physics, Astronomy, 2002, 45 (08):
[24] The topology of Julia sets for polynomials
Yin, YC
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2002, 45 (08): : 1020 - 1024
[25] CHEBYSHEV POLYNOMIALS FOR JULIA SETS
KAMO, SO
BORODIN, PA
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1994, (05): : 65 - 67
[26] The topology of Julia sets for polynomials
Yongcheng Yin
Science in China Series A: Mathematics, 2002, 45 : 1020 - 1024
[27] Biaccessibility in quadratic Julia sets
Zakeri, S
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2000, 20 : 1859 - 1883
[28] Addendum to: Rigidity and Non-Local Connectivity of Julia Sets of Some Quadratic Polynomials
Levin, Genadi
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2014, 325 (03) : 1171 - 1178
[29] Addendum to: Rigidity and Non-Local Connectivity of Julia Sets of Some Quadratic Polynomials
Genadi Levin
Communications in Mathematical Physics, 2014, 325 : 1171 - 1178
[30] STABLY INTERESTING JULIA SETS OF POLYNOMIALS
BUZZARD, GT
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 317 (11): : 1013 - 1018

← 1 2 3 4 5 →