二元非Pisot暴胀镶嵌的衍射
Diffraction of a binary non-Pisot inflation tiling
摘要：
考虑一维二元暴胀规则的单参数族。除了第一个成员，即著名的斐波那契规则，没有通货膨胀因素是一个单位。我们确定了所有纯点谱的情况，并讨论了族中其他成员的衍射谱。除了在原点的平凡布拉格峰，他们有纯粹的奇异连续衍射。
英文摘要：
A one-parameter family of binary inflation rules in one dimension is considered. Apart from the first member, which is the well-known Fibonacci rule, no inflation factor is a unit. We identify all cases with pure point spectrum, and discuss the diffraction spectra of the other members of the family. Apart from the trivial Bragg peaks at the origin, they have purely singular continuous diffraction.
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。
