论文标题

幽灵常规序列的幽灵量度

The Ghost Measures of Affine Regular Sequences

论文作者

Evans, James

论文摘要

k的序列在k的力量之间表现出相似的行为。研究这种自相似性的一种方法是尝试使用措施来描述序列的限制形状,这导致了我们称为幽灵度量的对象。本文的目的是显式计算该度量及其对仿射2型序列的一般家族的某些特性,包括其Lebesgue分解。

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.

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