Asymptotic behaviour of bi-infinite words
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 38 (2004) no. 1, pp. 27-48.

We present a description of asymptotic behaviour of languages of bi-infinite words obtained by iterating morphisms defined on free monoids.

DOI : 10.1051/ita:2004002
Classification : 68Q
Mots-clés : bi-infinite words, morphisms, iteration, boundary set
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     author = {Fory\'s, Wit},
     title = {Asymptotic behaviour of bi-infinite words},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {27--48},
     publisher = {EDP-Sciences},
     volume = {38},
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Foryś, Wit. Asymptotic behaviour of bi-infinite words. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 38 (2004) no. 1, pp. 27-48. doi : 10.1051/ita:2004002. http://www.numdam.org/articles/10.1051/ita:2004002/

[1] A. Ehrenfeucht and G. Rozenberg, Simplifications of homomorphism. Inform. Control 38 (1978) 298-309. | Zbl

[2] W. Foryś and T. Head, The poset of retracts of a free monoid. Int. J. Comput. Math. 37 (1990) 45-48. | Zbl

[3] T. Harju and M. Linna, On the periodicity of morphism on free monoid. RAIRO: Theoret. Informatics Appl. 20 (1986) 47-54. | Numdam | Zbl

[4] T. Head, Expanded subalphabets in the theories of languages and semigroups. Int. J. Comput. Math. 12 (1982) 113-123. | Zbl

[5] T. Head and V. Lando, Fixed and stationary ω-wors and ω-languages. The book of L, Springer-Verlag, Berlin (1986) 147-155. | Zbl

[6] M. Lothaire, Combinatorics on words. Addison-Wesley (1983). | MR | Zbl

[7] J. Matyja, Sets of primitive words given by fixed points of mappings. Int. J. Comput. Math. (to appear). | MR | Zbl

[8] P. Narbel, Limits and boundaries of words and tiling substitutions. LITP, TH93.12 (1993).

[9] P. Narbel, The boundary of iterated morphisms on free semi-groups. Int. J. Algebra Comput. 6 (1996) 229-260. | Zbl

[10] J. Shallit and M. Wang, On two-sided infinite fixed points of morphisms. Lect. Notes Comput. Sci. 1684 (1999) 488-499. | Zbl

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