Recursively renewable words and coding of irrational rotations

• AKIYAMA Shigeki

  Department of Mathematics, Faculty of Science, Niigata University

• SHIRASAKA Masayuki

抄録

A word generated by coding of irrational rotation with respect to a general decomposition of the unit interval is shown to have an inverse limit structure directed by substitutions. We also characterize primitive substitutive rotation words, as those having quadratic parameters.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 59 (4), 1199-1234, 2007

  一般社団法人 日本数学会

キーワード

• continued fraction
• irrational rotation
• interval exchange
• substitution

詳細情報

• CRID: 1390282680091127424
• NII論文ID: 10019989431
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05941199
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 9304359
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9304359
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可