A continuous family of automata : the Ising automata
Kamae, T. ; Mendès France, M.
Annales de l'I.H.P. Physique théorique, Tome 65 (1996), p. 349-372 / Harvested from Numdam
Publié le : 1996-01-01
@article{AIHPA_1996__64_3_349_0,
     author = {Kamae, Teturo and Mend\`es France, M.},
     title = {A continuous family of automata : the Ising automata},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {65},
     year = {1996},
     pages = {349-372},
     mrnumber = {1400297},
     zbl = {0860.11011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1996__64_3_349_0}
}
Kamae, T.; Mendès France, M. A continuous family of automata : the Ising automata. Annales de l'I.H.P. Physique théorique, Tome 65 (1996) pp. 349-372. http://gdmltest.u-ga.fr/item/AIHPA_1996__64_3_349_0/

[1] J. Allouche and M. Mendes France, Quasicrystal Ising chain and automata Theory, J. Stat. Phys.,Vol. 42, 1986, pp. 809-821; Automata and automatic sequences in Beyond Quasicrystals, edited by F. Axel and D. Gracias, Les Editions de Physique, Springer, 1995, pp. 293-367. | MR 833222 | Zbl 0641.10043

[2] B. Derrida, J. Vannimenus and Y. Pomeau, Simple frustrated systems: chains strips and squares, J. Phys. C., Vol. 11, 1978, pp. 4749-4765.

[3] S. Eilenberg, Automata, Languages and Machines, Vol. A, Academic Press, 1974. | MR 530382 | Zbl 0317.94045

[4] M. Mendes France, Opacity of an automaton, application to the inhomogeneous Ising chain, Comm. Math. Phys.,Vol. 139, 1991, pp. 341-352. | MR 1120142 | Zbl 0758.11014

[5] J.-Y. Yao, Contribution à l'étude des automates finis, Thèse Université Bordeaux I, 1996.