On the boundary of self affine tilings generated by Pisot numbers

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Definition and fundamentals of tilings generated by Pisot numbers are shown by arithmetic consideration. Results include the case that a Pisot number does not have a finitely expansible property, i.e. a sofic Pisot case. Especially we show that the boundary of each tile has Lebesgue measure zero under some weak condition.

Definition and fundamentals of tilings generated by Pisot numbers are shown by arithmetic consideration. Results include the case that a Pisot number does not have a finitely expansible property, i.e. a sofic Pisot case. Especially we show that the boundary of each tile has Lebesgue measure zero under some weak condition.

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  • Journal of the Mathematical Society of Japan

    Journal of the Mathematical Society of Japan 54(2), 283-308, 2002-04

    The Mathematical Society of Japan

参考文献:  18件中 1-18件 を表示

被引用文献:  1件中 1-1件 を表示

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各種コード

  • NII論文ID(NAID)
    10008204934
  • NII書誌ID(NCID)
    AA0070177X
  • 本文言語コード
    ENG
  • 資料種別
    ART
  • ISSN
    00255645
  • NDL 記事登録ID
    6153455
  • NDL 雑誌分類
    ZM31(科学技術--数学)
  • NDL 請求記号
    Z53-A209
  • データ提供元
    CJP書誌  CJP引用  NDL  IR  J-STAGE 
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