论文标题
常规序列的光谱理论
The spectral theory of regular sequences
论文作者
论文摘要
常规序列是有限字母（即自动序列）上恒定替换的固定点的天然概括。利用与替换为动机相关的措施的谐波分析，我们通过构建围绕它们的系统测量框架来研究常规序列的限制渐近学。构建的度量是对迭代功能系统吸引者支持的质量分布的概括。
Regular sequences are natural generalisations of fixed points of constant-length substitutions on finite alphabets, that is, of automatic sequences. Using the harmonic analysis of measures associated with substitutions as motivation, we study the limiting asymptotics of regular sequences by constructing a systematic measure-theoretic framework surrounding them. The constructed measures are generalisations of mass distributions supported on attractors of iterated function systems.
