no. 3
The Ising transducer
Annales de l'I.H.P. Physique théorique, Tome 52 (1990) no. 3, pp. 259-265. 
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     author = {Mendes France, Michel},
     title = {The {Ising} transducer},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {259--265},
     publisher = {Gauthier-Villars},
     volume = {52},
     number = {3},
     year = {1990},
     mrnumber = {1057447},
     zbl = {0724.68062},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1990__52_3_259_0/}
}
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Mendes France, Michel. The Ising transducer. Annales de l'I.H.P. Physique théorique, Tome 52 (1990) no. 3, pp. 259-265. http://www.numdam.org/item/AIHPA_1990__52_3_259_0/

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[2] J. Berstel, Transductions and Context-Free Languages, Teubner Studienbücher, 1979. | MR | Zbl

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[5] J.M. Luck, Frustration Effects in quasicrystals: an Exactly Soluble Example in One Dimension, J. Phys. A. Lett., Vol. 20, 1987, pp. 1259-1268.