Substitution Delone sets with pure point spectrum are inter-model sets

Substitution Delone sets with pure point spectrum are inter-model sets
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具有纯点谱的代换 Delone 集是模型间集

DOI:
10.1016/j.geomphys.2007.07.003
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发表时间:
2005
影响因子:
1.5
通讯作者:
Jeong
Jeong
中科院分区:
数学3区
文献类型:
--
作者:
Jeong

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本文建立了一个等价的纯点衍射和某些类型的模型集,称为模型间集,在替代点集和替代平铺的上下文中。的关键成分是一种新的类型的重合条件的替代点集,我们称之为代数重合,并使用最近的表征模型集通过动力系统与点集或平铺。
The paper establishes an equivalence between pure point diffraction and certain types of model sets, called inter-model sets, in the context of substitution point sets and substitution tilings. The key ingredients are a new type of coincidence condition in substitution point sets, which we call algebraic coincidence, and the use of a recent characterization of model sets through dynamical systems associated with the point sets or tilings.
DOI: 10.1353/ajm.2006.0037
发表时间: 2006-10
影响因子: 1.7
作者:
M. Barge;J. Kwapisz
通讯作者: M. Barge;J. Kwapisz
DOI: --
发表时间: 2008
期刊:
影响因子: --
作者:
Shu;Nakamura;小谷 眞一・俣野 博;S.Sato;K. Yabuta;E. Nakai;E. Nakai;YABUTA Kozo;MIYACHI Akihiko;SATO Shuichi;NAKAI Eiichi;M. Taniguchi;K.Yabuta
通讯作者: K.Yabuta