Analysis of the Density of Words under Morphism $\{a,b\}$
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912829776330752 |
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| author | Hamoud, Jasem Abdullah, Duaa |
| author_facet | Hamoud, Jasem Abdullah, Duaa |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06150 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analysis of the Density of Words under Morphism $\{a,b\}$ Hamoud, Jasem Abdullah, Duaa General Mathematics 05C42, 11B05, 11R45, 11B39 G.2.0; F.2.2 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. |
| title | Analysis of the Density of Words under Morphism $\{a,b\}$ |
| topic | General Mathematics 05C42, 11B05, 11R45, 11B39 G.2.0; F.2.2 |
| url | https://arxiv.org/abs/2601.06150 |