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 ...

Sep 19, 2018 · There are two cut-and-project schemes (CPSs) which arise naturally: one from the Pisot family property and the other from the pure point ...

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: ...

Sep 19, 2018 · basically isomorphic to each other in Theorem 3.1. 19. In this paper we are mainly interested in primitive substitution tilings in R d with pure ...

Abstract: We consider Pisot family substitution tilings in R d whose dynamical spectrum is pure point. There are two cut-and-project schemes (CPSs) which ...

Sep 19, 2018 · There are two cut-and-project schemes(CPS) which arise naturally: one from the Pisot family property and the other from the pure point spectrum ...

Oct 16, 2018 · Cut-and-Project Schemes for Pisot Family Substitution Tilings. Jeong-Yup Lee, Shigeki Akiyama, Yasushi NAGAI. Chair of Mathematics, Statistics ...

Cut-and-Project Schemes for Pisot Family Substitution Tilings ; Englisch · 511 · 9 · Symmetry / Molecular Diversity Preservation International (MDPI) · 10.2018.

In the case of a symbolic substitution φ, there is a natural way to exhibit a cut- and-project scheme for the associated substitution tiling Φ. This ...

By this theorem, we prove that any Pisot tilings are asymmetric with respect to any affine transformations.