Self-similar measures on the Julia sets of polynomials

被引：0
作者：
周吉
邱维元
任福尧
机构：
[1] China
[2] Department of Mathematics
[3] Fudan University
[4] Shanghai 200433
来源：
Progress in Natural Science | 2000年 / 04期
基金：
中国国家自然科学基金;
关键词：
invariant measure; self-similar measure; Fatou set; Julia set; critical point;
D O I：
暂无
中图分类号：
O174.14 [多项式理论];
学科分类号：
070104 ;
摘要：
If the immediate basin of infinity of a polynomial P(z) contains at least one of its critical points, then there is a self-similar measure on its Julia set, and if all the critical points of P(z) lie in the immediate basin of infinity, then the self-similar measure is unique.
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页码：28 / 33
页数：6
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