Analysis of the Density of Words under Morphism
arXiv:2601.06150
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 , we define a novel \emph{power} operation that yields a formal linear combination in the free abelian group generated by all finite words.
12 pages, 2 figures, 1 table. Comments welcome!