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Applying a uniform marked morphism to a word

Abstract : We describe the relationship between different parameters of the initial word and its image obtained by application of a uniform marked morphism. The functions described include the subword complexity, frequency of factors, and the recurrence function. The relations obtained for the image of a word can be used also for the image of a factorial language. Using induction, we give a full description of the involved functions of the fixed point of the morphism considered.
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Submitted on : Thursday, March 13, 2014 - 4:47:53 PM
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Anna Frid. Applying a uniform marked morphism to a word. Discrete Mathematics and Theoretical Computer Science, DMTCS, 1999, Vol. 3 no. 3 (3), pp.125-140. ⟨10.46298/dmtcs.255⟩. ⟨hal-00958931⟩



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