Mots infinis

J. Berstel

Publications du Département de mathématiques (Lyon) (1984)

  • Volume: 6/B, Issue: 6B, page 89-102
  • ISSN: 0076-1656

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Berstel, J.. "Mots infinis." Publications du Département de mathématiques (Lyon) 6/B.6B (1984): 89-102. <http://eudml.org/doc/274265>.

@article{Berstel1984,
author = {Berstel, J.},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {iterated morphism; square-free words; repetitions in infinite words},
language = {fre},
number = {6B},
pages = {89-102},
publisher = {Université Claude Bernard - Lyon 1},
title = {Mots infinis},
url = {http://eudml.org/doc/274265},
volume = {6/B},
year = {1984},
}

TY - JOUR
AU - Berstel, J.
TI - Mots infinis
JO - Publications du Département de mathématiques (Lyon)
PY - 1984
PB - Université Claude Bernard - Lyon 1
VL - 6/B
IS - 6B
SP - 89
EP - 102
LA - fre
KW - iterated morphism; square-free words; repetitions in infinite words
UR - http://eudml.org/doc/274265
ER -

References

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  1. [1] D. Bean, A. Ehrenfeucht, G. Mc Nulty, Avoidable patterns in strings of symbols, Pacific J. Math.85 (1979), 261-294. Zbl0428.05001MR574919
  2. [2] F. Brandenburg, Uniformly growing k-th power-free homomorphisms, Theor. Comput. Sci.23 (1983), 69-82. Zbl0508.68051MR693069
  3. [3] J. Brinkhuis, Non-repetitive sequences on three symbols, Quart. J. Math.Oxford (2) 34 (1983), 145-149. Zbl0528.05004MR698202
  4. [4] A. Carpi, On the size of a square-free morphism on a three letter alphabet, prepublication, 1983. Zbl0508.68052MR709659
  5. [5] E. Coven, G. Hedlund, Sequences with minimal block growth, Math. Syst. Theory7 (1973), 138-153. Zbl0256.54028MR322838
  6. [6] C. Christol, T. Kamae, M. Mendès-France, G. Rauzy, Suites algébriques, automates et substitutions, Bull. Soc. Math. France108 (1980), 401-419. Zbl0472.10035MR614317
  7. [7] A. Cobham, Uniform tag sequences, Math. Systems. Th.6 (1972), 164-192. Zbl0253.02029MR457011
  8. [8] M. Crochemore, Sharp characterizations of squarefree morphisms, Theor. Comput. Sci.18 (1982), 221-226. Zbl0482.68085MR652471
  9. [9] M. Crochemore, Mots et morphismes sans carré, Annals of Discr. Math.17 (1983), 235-245. Zbl0527.20045MR841299
  10. [10] M. Crochemore, Régularités évitables, Thèse d'Etat, Rouen1983. 
  11. [11] A. Ehrenfeucht, K. Lee, G. Rozenberg, Subword complexities of various classes of deterministic developmental languages without interaction, Theor. Comput. Sci.1 (1975), 59-75. Zbl0316.68043MR388861
  12. [12] A. Ehrenfeucht, G. Rozenberg, On the subword complexity of square-free DOL languagesTheor. Comp. Sci.16 (1981), 25-32. Zbl0481.68073MR632668
  13. [13] G. Hedlund, M. Morse, Symbolic Dynamics II. Sturmian trajectories, American J. Math62 (1940), 1-42. Zbl0022.34003MR745JFM66.0188.03
  14. [14] S. Istrail, On irreductible languages and non rational numbers, Bull. Mat. Soc. Sci. Mat. R. S.Roumanie21 (1977), 301-308. Zbl0374.68053MR521207
  15. [15] J. Karhumäki, On cube-free w-words generated by binary morphisms, Discr. Appl. Math5 (1983), 279-297. Zbl0505.03022MR690339
  16. [16] M. Lothaire, "Combinatorics on Words", Addison-Wesley1983. Zbl0514.20045MR675953
  17. [17] M. Main, Permutations are not context-free : an application of the 'Interchange Lemma'Inf. Proc. Letters15 (1982), 68-71. Zbl0486.68077MR675871
  18. [18] M. Minsky, Computations finite and infinite machinesPrentice-Hall1967. Zbl0195.02402MR356580
  19. [19] M. Morse, Recurrent geodesics on a surface of negative curvature, Trans. Amer. Math. Soc.22 (1921), 84-100. Zbl48.0786.06MR1501161JFM48.0786.06
  20. [20] A. Restivo, S. Salemi, On weakly square free words, Inf. Proc. Letters, to appear. Zbl0572.20038
  21. [21] R. Shelton, R. Soni, Aperiodic words on three symbols, I, II, J. reine angew. Math.321 (1981), 195-209, 327(1981), 1-11 Zbl0441.05007MR597989
  22. R. Shelton, R. Soni, Aperiodic words on three symbols, III, J. reine angew. Math., 330(1982), 44-52. Zbl0467.05010MR641810
  23. [22] A. Thue, Über unendliche Zeichenreihen, Norske Vid. Selsk. Skr. I. Mat. Nat. Kl. Christiania (1906), 1-22. JFM39.0283.01
  24. [23] A. Thue, Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen, Norske Vid. Selsk. Skr. I. Mat. Nat. Kl. Christiania (1912), 1-67. Zbl44.0462.01JFM44.0462.01

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