Thermodynamic equivalence of spin systems
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 22 (1975) no. 2, pp. 143-158. 
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     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1975__22_2_143_0/}
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Beltman, J. M. Thermodynamic equivalence of spin systems. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 22 (1975) no. 2, pp. 143-158. http://www.numdam.org/item/AIHPA_1975__22_2_143_0/

[1] This remark is also in Ruelle's book, chapter 7. Ruelle, Statistical Mechanics, W. A. Benjamin, Inc., 1969.

[2] Hocking and Young, Topology, Addison-Wesley Publishing Company. See chapter 2. | Zbl

[3] C.J. Preston, Gibbs states on countable sets, Lincoln College Oxford. Preston's definition of Gibbs state goes back to Dobrushin.

[4] D.S. Ornstein, Adv. Math., t. 4, 1970, p. 337-352. | MR | Zbl

D.S. Ornstein, Adv. Math., t. 10, 1973, number 1.

[5] O.P. Lossers, J.H. Van Lint and W. Nuij, Finitely generated bijections of (0,1)z. T. H.-report 74-WSK-01. Technological University Eindhoven. The Netherlands. | Zbl

[6] After finishing the present paper we were acquainted with the investigations of F1 by HEDLUND. G.A. Hedlund, Endomorphisms and Automorphisms of the Shift Dynamical System, Math. Systems Theory, t. 3, 1969, p. 320-375. | Zbl

Other papers are: M. Sears, The automorphisms of the shift dynamical system are relatively sparse, Math. Systems Theory, t. 5, 1971, p. 228-231. | MR | Zbl

J.P. Ryan, The shift and Commutativity, Math. Systems Theory, t. 6, 1972, p. 82-85. | MR | Zbl

E.M. Coven and M.E. Paul, Endomorphisms of irreducible subshifts of finite type. To appear in Math. Systems Theory. | MR | Zbl