当前位置：
X-MOL 学术
›
Acta Crystallogr. A Found. Adv.
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
Pure discrete spectrum and regular model sets in d-dimensional unimodular substitution tilings.
Acta Crystallographica Section A: Foundations and Advances ( IF 1.9 ) Pub Date : 2020-08-21 , DOI: 10.1107/s2053273320009717 Dong Il Lee 1 , Shigeki Akiyama 2 , Jeong Yup Lee 3
Acta Crystallographica Section A: Foundations and Advances ( IF 1.9 ) Pub Date : 2020-08-21 , DOI: 10.1107/s2053273320009717 Dong Il Lee 1 , Shigeki Akiyama 2 , Jeong Yup Lee 3
Affiliation
|
Primitive substitution tilings on 
whose expansion maps are unimodular are considered. It is assumed that all the eigenvalues of the expansion maps are algebraic conjugates with the same multiplicity. In this case, a cut‐and‐project scheme can be constructed with a Euclidean internal space. Under some additional condition, it is shown that if the substitution tiling has pure discrete spectrum, then the corresponding representative point sets are regular model sets in that cut‐and‐project scheme.
中文翻译：
d维单模替代平铺中的纯离散频谱和常规模型集。
考虑其扩展图是单模的原始替换平铺。假设扩展图的所有特征值都是具有相同多重性的代数共轭。在这种情况下，可以使用欧几里得内部空间构造切割计划。在某些附加条件下，证明了如果替换拼贴具有纯离散频谱，则对应的代表点集是该割放方案中的常规模型集。
更新日期：2020-09-01
whose expansion maps are unimodular are considered. It is assumed that all the eigenvalues of the expansion maps are algebraic conjugates with the same multiplicity. In this case, a cut‐and‐project scheme can be constructed with a Euclidean internal space. Under some additional condition, it is shown that if the substitution tiling has pure discrete spectrum, then the corresponding representative point sets are regular model sets in that cut‐and‐project scheme.
中文翻译：
d维单模替代平铺中的纯离散频谱和常规模型集。
考虑其扩展图是单模的原始替换平铺。假设扩展图的所有特征值都是具有相同多重性的代数共轭。在这种情况下，可以使用欧几里得内部空间构造切割计划。在某些附加条件下，证明了如果替换拼贴具有纯离散频谱，则对应的代表点集是该割放方案中的常规模型集。
京公网安备 11010802027423号