论文标题

$ k $的自相似结构 - 和二倍体斐波那契单词

Self-Similar Structure of $k$- and Biperiodic Fibonacci Words

论文作者

Bortz, Darby, Cummings, Nicholas, Gao, Suyi, Jaffe, Elias, Mai, Lan, Steinhurst, Benjamin, Tillotson, Pauline

论文摘要

将双层纤维纤维单词定义为字母$ \ {0,1 \} $上的一类单词,以及两个专业化$ k-$ fibonacci和古典fibonacci单词,我们将这些单词的自相似单词分解为相同类型的重叠单词。这些自相似的分解补充了表明自相似性的先前文献,但零件的相互作用的特定结构是未被发现的。

Defining the biperiodic Fibonacci words as a class of words over the alphabet $\{0,1\}$, and two specializations the $k-$Fibonacci and classical Fibonacci words, we provide a self-similar decomposition of these words into overlapping words of the same type. These self-similar decompositions complement the previous literature where self-similarity was indicated but the specific structure of how the pieces interact was left undiscussed.

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