纯点谱的代换Delone集是内模集
Substitution Delone Sets with Pure Point Spectrum are Inter Model Sets
摘要：
本文建立了一个等价的纯点衍射和某些类型的模型集，称为内模型集，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，在替代点集，我们称之为代数重合，并使用最近的表征模型集通过与点集或tilings相关的动力系统。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
