正则序列的谱理论

IF 0.9 3区数学 Q2 MATHEMATICS Documenta Mathematica Pub Date : 2020-09-03 DOI:10.4171/dm/880

M. Coons, James Evans, Neil Mañibo

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引用次数: 3

摘要

正则序列是有限字母上定长替换不动点的自然推广，即自动序列。利用与替换相关测度的调和分析作为动机，构造了一个围绕正则序列的系统测度理论框架，研究了正则序列的极限渐近性。所构造的测度是迭代函数系统的吸引子支持的质量分布的推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Spectral theory of regular sequences

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.

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来源期刊

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.