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arXiv · 1811.11444

The Number of Fractional Powers in the Fibonacci Word

Yu-ke Huang·Zhi-ying Wen
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Abstract

The Fibonacci word is the fixed point beginning with the letter $a$ of morphism $\sigma(a)=ab$, $\sigma(b)=a$ defined over the alphabet $\{a,b\}$. In this paper, we get explicit expression of the number of distinct fractional powers in each factor of the Fibonacci word.

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Yu-ke Huang, Zhi-ying Wen. 2018-11-28. The Number of Fractional Powers in the Fibonacci Word. https://arxiv.org/abs/1811.11444

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