Locally Periodic Infinite Words and a Chaotic Behaviour
نویسندگان
چکیده
We call a one-way innnite word w over a nite alphabet (; p)-repetitive if all long enough preexes of w contain as a suux a th power (or more generally a repetition of order) of a word of length at most p. We show that each (2; 4)-repetitive word is ultimately periodic, as well as that there exist nondenumerably many, and hence also nonultimately periodic, (2; 5)-repetitive words. Further we characterize nonultimately periodic (2; 5)-repetitive words both structurally and algebraically.
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