On Julia sets of postcritically finite branched coverings - Part I - coding of Julia sets

被引：7

作者：

Kameyama, A ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Engn Sci, Dept Informat & Math Sci, Toyonaka, Osaka 5608531, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2003年 / 55卷 / 02期

关键词：

Julia set; postcritically finite branched covering; Thurston equivalence; symbolic dynamics; coding map; self-similar set; fundamental group;

D O I：

10.2969/jmsj/1191419125

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define Julia sets for (topological) expanding postcritically finite branched coverings on S-2, and show the existence and the uniqueness of Julia sets. Our main aim is the investigation of codings of Julia sets (i.e. semiconjugacies between symbolic dynamics and Julia sets). In particular, it is proved that if two expanding branched coverings are combinatorially equivalent, then their Julia sets are topologically conjugate.

引用

页码：439 / 454

页数：16

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