Puissance extérieure d'un automate déterministe, application au calcul de la fonction zêta d'un système sofique
Béal, Marie-Pierre
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 29 (1995), p. 85-103 / Harvested from Numdam
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@article{ITA_1995__29_2_85_0,
     author = {B\'eal, Marie-Pierre},
     title = {Puissance ext\'erieure d'un automate d\'eterministe, application au calcul de la fonction z\^eta d'un syst\`eme sofique},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     volume = {29},
     year = {1995},
     pages = {85-103},
     mrnumber = {1329277},
     zbl = {0843.58035},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/ITA_1995__29_2_85_0}
}

Béal, Marie-Pierre. Puissance extérieure d'un automate déterministe, application au calcul de la fonction zêta d'un système sofique. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 29 (1995) pp. 85-103. http://gdmltest.u-ga.fr/item/ITA_1995__29_2_85_0/

1. V. Baladi, Comment compter avec les fonctions zêta, Gazette des mathématiciens, 1991, 47, p. 79-96. | MR 1091910 | Zbl 0729.58037

2. M.-P. Béal, Codage Symbolique, Masson, 1993.

3. J. Berstel et D. Perrin, Theory of Codes, Academic Press, 1985. | MR 797069 | Zbl 0587.68066

4. J. Berstel et C. Reutenauer, Rational Series and their Languages, Springer, 1988. | MR 971022 | Zbl 0668.68005

5. J. Berstel et C. Reutenauer, Zeta functions of formal languages, Trans. Amer. Math. Soc., 1990, 321, p. 533-546. | MR 998123 | Zbl 0797.68092

6. R. Bowen, Symbolic dynamics, In On axiom A diffeomorphism, number 35 in CBMS Reg. Conf. American Mathematical Society, 1978. | MR 482842 | Zbl 0383.58010

7. R. Bowen et O. Lanford, Zeta functions of restrictions of the shift transformation. In Proc. Sympos. Pure Math., number 14, p. 43-50. | MR 271401 | Zbl 0211.56501

8. I. Gelfand et V. Retakh, Determinants of matrices over non commutative rings, Funct. Anal. Appl., 1991, 25(2), p. 91-102. | MR 1142205 | Zbl 0748.15005

9. I. Gelfand et V. Retakh, A theory of non-commutative determinants and characteristic functions of graphs, Funct. Anal. Appl., 1992, 26(4), p. 1-20.. | MR 1209940 | Zbl 0799.15003

10. D. Krob et B. Leclerc, Minor identities for quasi-determinants and quantum determinants, LITP 93-46, IBP, 1993.

11. A. Manning, Axiom A diffeomorphisms have rationnal zeta fonctions, Bull. London Math. Soc., 1971, 3, p. 215-220. | MR 288786 | Zbl 0219.58007