Analysis of the Density of Words under Morphism \a,b\
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 power operation that yields a formal linear combination in the free abelian group generated by all finite words.
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