On the boundary of self affine tilings generated by Pisot numbers

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概要

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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.

• 社団法人 日本数学会の論文

著者

• Akiyama Shigeki

  Department Of Mathematics Faculty Of Science Niigata University

• Akiyama Shigeki

  Department Of Mathematical Science Graduate School Of Science And Technbology Niigata University

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