Thermodynamic equivalence of spin systems

J. M. Beltman

Annales de l'I.H.P. Physique théorique (1975)

  • Volume: 22, Issue: 2, page 143-158
  • ISSN: 0246-0211

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Beltman, J. M.. "Thermodynamic equivalence of spin systems." Annales de l'I.H.P. Physique théorique 22.2 (1975): 143-158. <http://eudml.org/doc/75844>.

@article{Beltman1975,
author = {Beltman, J. M.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {2},
pages = {143-158},
publisher = {Gauthier-Villars},
title = {Thermodynamic equivalence of spin systems},
url = {http://eudml.org/doc/75844},
volume = {22},
year = {1975},
}

TY - JOUR
AU - Beltman, J. M.
TI - Thermodynamic equivalence of spin systems
JO - Annales de l'I.H.P. Physique théorique
PY - 1975
PB - Gauthier-Villars
VL - 22
IS - 2
SP - 143
EP - 158
LA - eng
UR - http://eudml.org/doc/75844
ER -

References

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  1. [1] This remark is also in Ruelle's book, chapter 7. Ruelle, Statistical Mechanics, W. A. Benjamin, Inc., 1969. 
  2. [2] Hocking and Young, Topology, Addison-Wesley Publishing Company. See chapter 2. Zbl0135.22701
  3. [3] C.J. Preston, Gibbs states on countable sets, Lincoln College Oxford. Preston's definition of Gibbs state goes back to Dobrushin. 
  4. [4] D.S. Ornstein, Adv. Math., t. 4, 1970, p. 337-352. Zbl0197.33502MR257322
  5. D.S. Ornstein, Adv. Math., t. 10, 1973, number 1. 
  6. [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. Zbl0293.05130
  7. [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. Zbl0182.56901
  8. Other papers are: M. Sears, The automorphisms of the shift dynamical system are relatively sparse, Math. Systems Theory, t. 5, 1971, p. 228-231. Zbl0221.54040MR307211
  9. J.P. Ryan, The shift and Commutativity, Math. Systems Theory, t. 6, 1972, p. 82-85. Zbl0227.54037MR305376
  10. E.M. Coven and M.E. Paul, Endomorphisms of irreducible subshifts of finite type. To appear in Math. Systems Theory. Zbl0309.54032MR383378

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