arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1901.01952math.CO
收藏

有什么方法能使这些词更有力

Quelques méthodes pour les mots sturmiens

Anna Frid

摘要:

在本书用法语写的这一章中,我们考虑Sturmian词的经典族,定义为只包含长度为$n$的$n+1$因子的非周期无限词,该长度是最小可能值。我们将讨论几种在专著中没有描述的Sturmian词的技术。特别是,我们将考虑几何对偶方法由Berstel和Pocchiola和回文因子和Ostrowski计数系统之间的联系。我们还将讨论一个关于回文长度的猜想,这个猜想在Sturmian词上被证明是用两种完全不同的方法证明的。

英文摘要:

In this book chapter, written in French, we consider the classical family of Sturmian words, defined as the aperiodic infinite words containing only $n+1$ factors of a length $n$, which is the minimal possible value. We will discuss several techniques for Sturmian words which have not been described in monographs. In particular, we will consider the geometric dual method by Berstel and Pocchiola and the link between palindrome factors and Ostrowski numeration systems. We will also discuss a conjecture on palindromic length which was proved on Sturmian words by two completely different methods for two distinct cases.

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。

↑