Cut-and-Project Schemes for Pisot Family Substitution Tilings

We consider Pisot family substitution tilings in R d 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 R m...

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Bibliographic Details
Main Authors: Jeong-Yup Lee, Shigeki Akiyama, Yasushi Nagai
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/10/10/511