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arXiv · 2601.06150

Analysis of the Density of Words under Morphism $\{a,b\}$

Jasem Hamoud·Duaa Abdullah
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Abstract

In this paper, we analyze the density of the Fibonacci word and its derived forms by examining the morphisms associated with each. It offers a comparative analysis of the density of Fibonacci numbers alongside other words derived from Fibonacci word. Fibonacci words over the alphabet $\{a,b\}$, we define a novel \emph{power} operation that yields a formal linear combination in the free abelian group generated by all finite words.

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Jasem Hamoud, Duaa Abdullah. 2026-01-05. Analysis of the Density of Words under Morphism $\{a,b\}$. https://arxiv.org/abs/2601.06150

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