具有p-adic内部空间的准晶体的极限（拟）周期点集
Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces
摘要：
模型集（或割集和投影集）提供了一种熟悉和常用的构造和研究非周期点集的方法。在这里，我们扩展这种方法的情况下，内部空间不再是欧几里德，而是空间的p-adic拓扑，甚至混合欧几里德/p-adic拓扑。我们表明，一些众所周知的瓷砖正好适合这种形式，包括椅子瓷砖和罗宾逊广场瓷砖。因此，削减和项目形式主义的范围比通常想象的要大得多。应用强大的后果模型集，我们得出这些瓷砖的衍射性质。
英文摘要：
Model sets (or cut and project sets) provide a familiar and commonly used method of constructing and studying nonperiodic point sets. Here we extend this method to situations where the internal spaces are no longer Euclidean, but instead spaces with p-adic topologies or even with mixed Euclidean/p-adic topologies. We show that a number of well known tilings precisely fit this form, including the chair tiling and the Robinson square tilings. Thus the scope of the cut and project formalism is considerably larger than is usually supposed. Applying the powerful consequences of model sets we derive the diffractive nature of these 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。
