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

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概要

• 論文の詳細を見る

• We define Julia sets for (topological) expanding postcritically finite branched coverings on S<SUP>2</SUP>, 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.

• 社団法人 日本数学会の論文
• 2003-04-01

著者

• KAMEYAMA Atsushi

  Department of Chemistry, Faculty of Engineering, Kanagawa University

• Kameyama Atsushi

  Department Of Applied Chemistry Faculty Of Engineering Kanagawa University

• Kameyama Atsushi

  Department Of Informatics And Mathematical Science Graduate School Of Engineering Science Osaka Univ

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