有理映照Fatou分支的连通数  

The Connectivity Numbers of Fatou Components of Rational Mappings

作　　者：乔建永[1] 高军杨[1] 

机构地区：[1]中国矿业大学数学中心,北京100083

出　　处：《数学学报（中文版）》2004年第4期625-628,共4页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金973资助项目

摘　　要：Baker曾用拟共形手术的方法证明了具有任意连通数的Fatou分支的存在性,Shishikua曾建议对此给出明确的有理映照的例子,本文在Beardon工作的基础上,给出了比较完善的结果。Baker established the existence of Fatou component of any given connectivity by using the method of quasiconformal mappings. Furthermore, Shishikua suggested giving explicit examples of rational mappings with a Fatou component of a given con- nectivity number. In this paper, we prove a rather perfect result on the basis of Beardon's research.

关 键 词：JULIA集 FATOU集 迭代 

分 类 号：O192[理学—数学]