is regular-closed

• HIMEKI, YUTARO

  九州大学大学院数理学府数理科学部門

• 石井, 豊

  九州大学大学院数理学研究院数理科学部門

書誌事項

タイトル別名

• M4 IS REGULAR-CLOSED

抄録

For each n ≥ 2, we investigate a family of iterated function systems which is parameterized by a common contraction ratio s ∈ Dx ≡ {s ∈ C : 0 < |s| < 1} and possesses a rotational symmetry of order n. Let Mn be the locus of contraction ratio s for which the corresponding self-similar set is connected. The purpose of this paper is to show that Mn is regular-closed, i.e. int Mn = Mn holds for n ≥ 4. This gives a new result for n =4 and a simple geometric proof of the previously known result by [BanHu] for n ≥5.

収録刊行物

• Ergodic Theory and Dynamical Systems

  Ergodic Theory and Dynamical Systems 40 (1), 213-220, 2020-01-01

  Cambridge University Press

キーワード

• Applied Mathematics
• General Mathematics

詳細情報

• CRID: 1050017057727441280
• NII論文ID: 120006940729
• DOI: 10.1017/etds.2018.27
• ISSN: 14694417
• ISSN: 01433857
• HANDLE: 2324/4123944
• Web Site: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0143385718000275
• 本文言語コード: en
• 資料種別: journal article
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