仿射正则序列的鬼测度
The Ghost Measures of Affine Regular Sequences
摘要：
k-正则序列在k次幂之间表现出自相似性。研究这种自相似性的一种方法是尝试使用测度来描述序列的极限形状，这导致了我们称之为幽灵测度的对象。本文的目的是明确地计算这一措施和它的一些性质，包括它的勒贝格分解，为一般家庭的仿射2-正则序列。
英文摘要：
The k-regular sequences exhibit a self-similar behaviour between powers of k. One way to study this self-similarity is to attempt to describe the limiting shape of the sequence using measures, which results in an object which we call the ghost measure. The aim of this paper is to explicitly calculate this measure and some of its properties, including its Lebesgue decomposition, for the general family of affine 2-regular sequences.
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。
