MARKOV PARTITION IN NONHYPERBOLIC INTERVAL DYNAMICS

被引：5
|
作者：
VARGAS, E
机构：
[1] Departmento de Matemática, PUC/RJ, Rio de Janeiro, 22453, RJ
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 138卷 / 03期
关键词：
D O I：
10.1007/BF02102040
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider C2 unimodal maps f such that all periodic points are hyperbolic, the critical point is non-degenerated and non-recurrent, and the Julia set does not contain intervals. We construct a Markov partition for a big part of the Julia set. Then we use it to estimate the limit capacity and Hausdorff dimension of the Julia set.
引用
收藏
页码：521 / 535
页数：15
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