Geodesic
Periodic functions on a free semigroup
Sbornik. Mathematics, Tome 197 (2006) no. 10, pp. 1509-1528 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $X^*$ be the set of words over a finite alphabet $X$. The concept of periodic function $u\colon X^*\to M$ is considered. Such functions arise as the state transition functions and the output functions of automata. A method for the evaluation of the period and other characteristics of a periodic function with the use of the vector-period group and the fundamental group of the graph of the function is put forward. Bibliography: 5 titles. 
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     author = {V. L. Kurakin},
     title = {Periodic functions on a free semigroup},
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     url = {http://geodesic.mathdoc.fr/item/SM_2006_197_10_a6/}
}
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V. L. Kurakin. Periodic functions on a free semigroup. Sbornik. Mathematics, Tome 197 (2006) no. 10, pp. 1509-1528. http://geodesic.mathdoc.fr/item/SM_2006_197_10_a6/

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