A continuous family of automata : the Ising automata

T. Kamae; M. Mendès France

Annales de l'I.H.P. Physique théorique (1996)

  • Volume: 64, Issue: 3, page 349-372
  • ISSN: 0246-0211

How to cite

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Kamae, T., and Mendès France, M.. "A continuous family of automata : the Ising automata." Annales de l'I.H.P. Physique théorique 64.3 (1996): 349-372. <http://eudml.org/doc/76719>.

@article{Kamae1996,
author = {Kamae, T., Mendès France, M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {continuity properties; Ising automata; Ising chain; sequential transducers; energy; entropy},
language = {eng},
number = {3},
pages = {349-372},
publisher = {Gauthier-Villars},
title = {A continuous family of automata : the Ising automata},
url = {http://eudml.org/doc/76719},
volume = {64},
year = {1996},
}

TY - JOUR
AU - Kamae, T.
AU - Mendès France, M.
TI - A continuous family of automata : the Ising automata
JO - Annales de l'I.H.P. Physique théorique
PY - 1996
PB - Gauthier-Villars
VL - 64
IS - 3
SP - 349
EP - 372
LA - eng
KW - continuity properties; Ising automata; Ising chain; sequential transducers; energy; entropy
UR - http://eudml.org/doc/76719
ER -

References

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  1. [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. Zbl0641.10043MR833222
  2. [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. [3] S. Eilenberg, Automata, Languages and Machines, Vol. A, Academic Press, 1974. Zbl0317.94045MR530382
  4. [4] M. Mendes France, Opacity of an automaton, application to the inhomogeneous Ising chain, Comm. Math. Phys.,Vol. 139, 1991, pp. 341-352. Zbl0758.11014MR1120142
  5. [5] J.-Y. Yao, Contribution à l'étude des automates finis, Thèse Université Bordeaux I, 1996. 

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