Geodesic
Automaton mappings of periodic sequences that do not propagate distortions
Diskretnaya Matematika, Tome 13 (2001) no. 3, pp. 42-56.

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We describe the reduced permutational automata realizing the mappings of a set of periodic input sequences into a set of periodic output sequences which preserve or do not increase the introduced in the paper distance between periodic sequences. 
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     title = {Automaton mappings of periodic sequences that do not propagate distortions},
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A. V. Babash. Automaton mappings of periodic sequences that do not propagate distortions. Diskretnaya Matematika, Tome 13 (2001) no. 3, pp. 42-56. http://geodesic.mathdoc.fr/item/DM_2001_13_3_a2/

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