Toeplitz Words, Generalized Periodicity and Periodically Iterated Morphisms (Extended Abstract)
نویسندگان
چکیده
We consider so-called Toeplitz words which can be viewed as generalizations of one-way innnite periodic words. We compute their subword complexity, and show that they can always be generated by iterating periodically a nite number of morphisms. Moreover, we deene a structural classiication of Toeplitz words which is reeected in the way how they can be generated by iterated morphisms.
منابع مشابه
A periodicity property of iterated morphisms
Suppose f : X∗ −→ X∗ is a morphism and u, v ∈ X∗. For every nonnegative integer n, let zn be the longest common prefix of f(u) and f(v), and let un, vn ∈ X∗ be words such that f(u) = znun and f(v) = znvn. We prove that there is a positive integer q such that for any positive integer p, the prefixes of un (resp. vn) of length p form an ultimately periodic sequence having period q. Further, there...
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عنوان ژورنال:
- Eur. J. Comb.
دوره 18 شماره
صفحات -
تاریخ انتشار 1995