Puissance extérieure d'un automate déterministe, application au calcul de la fonction zêta d'un système sofique

Marie-Pierre Béal

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1995)

  • Volume: 29, Issue: 2, page 85-103
  • ISSN: 0988-3754

How to cite

top

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 29.2 (1995): 85-103. <http://eudml.org/doc/92501>.

@article{Béal1995,
author = {Béal, Marie-Pierre},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {symbolic dynamics; finite deterministic automata; external power; rationality; zeta function; sofic system},
language = {fre},
number = {2},
pages = {85-103},
publisher = {EDP-Sciences},
title = {Puissance extérieure d'un automate déterministe, application au calcul de la fonction zêta d'un système sofique},
url = {http://eudml.org/doc/92501},
volume = {29},
year = {1995},
}

TY - JOUR
AU - Béal, Marie-Pierre
TI - Puissance extérieure d'un automate déterministe, application au calcul de la fonction zêta d'un système sofique
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1995
PB - EDP-Sciences
VL - 29
IS - 2
SP - 85
EP - 103
LA - fre
KW - symbolic dynamics; finite deterministic automata; external power; rationality; zeta function; sofic system
UR - http://eudml.org/doc/92501
ER -

References

top
  1. 1. V. BALADI, Comment compter avec les fonctions zêta, Gazette des mathématiciens, 1991, 47, p. 79-96. Zbl0729.58037MR1091910
  2. 2. M.-P. BÉAL, Codage Symbolique, Masson, 1993. 
  3. 3. J. BERSTEL et D. PERRIN, Theory of Codes, Academic Press, 1985. Zbl0587.68066MR797069
  4. 4. J. BERSTEL et C. REUTENAUER, Rational Series and their Languages, Springer, 1988. Zbl0668.68005MR971022
  5. 5. J. BERSTEL et C. REUTENAUER, Zeta functions of formal languages, Trans. Amer. Math. Soc., 1990, 321, p. 533-546. Zbl0797.68092MR998123
  6. 6. R. BOWEN, Symbolic dynamics, In On axiom A diffeomorphism, number 35 in CBMS Reg. Conf. American Mathematical Society, 1978. Zbl0383.58010MR482842
  7. 7. R. BOWEN et O. LANFORD, Zeta functions of restrictions of the shift transformation. In Proc. Sympos. Pure Math., number 14, p. 43-50. Zbl0211.56501MR271401
  8. 8. I. GELFAND et V. RETAKH, Determinants of matrices over non commutative rings, Funct. Anal. Appl., 1991, 25(2), p. 91-102. Zbl0748.15005MR1142205
  9. 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.. Zbl0799.15003MR1209940
  10. 10. D. KROB et B. LECLERC, Minor identities for quasi-determinants and quantum determinants, LITP 93-46, IBP, 1993. Zbl0829.15024
  11. 11. A. MANNING, Axiom A diffeomorphisms have rationnal zeta fonctions, Bull. London Math. Soc., 1971, 3, p. 215-220. Zbl0219.58007MR288786

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.