On Julia sets of postcritically finite branched coverings Part 2--S1-parametrization of Julia sets

• KAMEYAMA Atsushi

  Department of Informatics and Mathematical Science Graduate School of Engineering Science Osaka University

書誌事項

タイトル別名

• On Julia sets of postcritically finite branched coverings Part II
• On Julia sets of postcritically finite branched coverings Part II -- S1-parametrization of Julia sets
• S<SUP>1</SUP>-parametrization of Julia sets

抄録

We prove that for an expanding postcritically finite branched covering f, the Julia set is orientedly S¹-parametrizable if and only if fⁿ is combinatorially equivalent to the degenerate mating of two polynomials for some n>0.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 55 (2), 455-468, 2003

  一般社団法人 日本数学会

キーワード

• Julia set
• postcritically finite branched covering
• S¹-parametrization
• Thurston equivalence
• mating

詳細情報

• CRID: 1390001205114885632
• NII論文ID: 10011796665
• NII論文ID: 30031269879
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1191419126
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1961296
• NDL書誌ID: 6581718
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6581718
• 本文言語コード: en
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