On the boundary of self affine tilings generated by Pisot numbers

• AKIYAMA Shigeki

  Department of Mathematics Faculty of Science Niigata University

Abstract

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.

Journal

• Journal of the Mathematical Society of Japan

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

  The Mathematical Society of Japan

Keywords

• Pisot number
• tiling
• fractal

Details

• CRID: 1390001205114562688
• NII Article ID: 10008204934
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05420283
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• HANDLE: 10191/5690
• MRID: 1883519
• NDL BIB ID: 6153455
• Web Site: https://niigata-u.repo.nii.ac.jp/records/2086
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6153455
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed