Self-similar measures on the Julia sets

被引：0
|
作者：
Ren, FY [1 ]
Zhou, J [1 ]
Qiu, WY [1 ]
机构：
[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
来源：
PROGRESS IN NATURAL SCIENCE | 1998年 / 8卷 / 01期
关键词：
invariant measures; Fatou sets; Julia sets; random dynamical systems;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The existence and uniqueness of the self-similar measure on the Julia set of single rational function are discussed. A self-similar measure is constructed on the Julia set of the random iteration of rational functions, which shows that under certain conditions the measure is unique and non-atomic; moreover its support is exactly equal to that of the Julia set. Finally some applications of the self-similiar measures to condensed matter physics and statistical physics are given.
引用
收藏
页码：24 / 34
页数：11
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