@article{oai:tsukuba.repo.nii.ac.jp:00052182,
 author = {秋山, 茂樹 and AKIYAMA, Shigeki and Lee, Jeong-Yup and Nagai, Yasushi},
 issue = {10},
 journal = {Symmetry},
 month = {Oct},
 note = {We consider Pisot family substitution tilings in Rd whose dynamical spectrum is pure point. There are two cut-and-project schemes (CPSs) which arise naturally: one from the Pisot family property and the other from the pure point spectrum. The first CPS has an internal space Rm for some integer m∈N defined from the Pisot family property, and the second CPS has an internal space H that is an abstract space defined from the condition of the pure point spectrum. However, it is not known how these two CPSs are related. Here we provide a sufficient condition to make a connection between the two CPSs. For Pisot unimodular substitution tiling in R , the two CPSs turn out to be same due to the remark by Barge-Kwapisz.},
 title = {Cut-and-Project Schemes for Pisot Family Substitution Tilings},
 volume = {10},
 year = {2018},
 yomi = {アキヤマ, シゲキ}
}