Full and Uniform Sequences
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical logic and algebra, Tome 242 (2003), pp. 141-146

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The point of view that we follow in this paper is to get information on the structure of a word $w$ by considering some suitable conditions on the number of occurrences in $w$ of any other word $u$. In this framework, two notions are very natural and of great interest, the fullness and the uniformity of a word. We study some properties of these notions.
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A. Carpi; A. de Luca. Full and Uniform Sequences. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical logic and algebra, Tome 242 (2003), pp. 141-146. http://geodesic.mathdoc.fr/item/TM_2003_242_a11/