@article{oai:niigata-u.repo.nii.ac.jp:00002086,
 author = {Akiyama, Shigeki},
 issue = {2},
 journal = {Journal of the Mathematical Society of Japan},
 month = {},
 note = {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.},
 pages = {283--308},
 title = {On the boundary of self affine tilings generated by Pisot numbers},
 volume = {54},
 year = {2002}
}