On the boundary of self affine tilings generated by Pisot numbers
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- AKIYAMA Shigeki
- Department of Mathematics Faculty of Science Niigata University
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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.
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 54 (2), 283-308, 2002
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390001205114562688
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- NII論文ID
- 10008204934
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- HANDLE
- 10191/5690
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- MRID
- 1883519
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- NDL書誌ID
- 6153455
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- 本文言語コード
- en
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- データソース種別
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- IRDB
- NDL
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