On phase transitions for subshifts of finite type

Israel Journal of Mathematics

Volumn 94, Issue , 1996, Pages 319-352

  Häggström, Olle ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040647594     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02762710     Document Type: Article

References (21)

1. J. van den Berg and C. Maes, Disagreement percolation in the study of Markov fields, The Annals of Probability 22 (1994), 749-763.
2. J. van den Berg and J. E. Steif, Percolation and the hard core lattice gas model, Stochastic Processes and their Applications 49 (1994), 179-197.
3. R. Burton and J. E. Steif, Nonuniqueness of measures of maximal entropy for subshifts of finite type, Ergodic Theory and Dynamical Systems 14 (1994), 213-236.
4. R. Burton and J. E. Steif, New results on measures of maximal entropy, Israel Journal of Mathematics 89 (1995), 275-300.
5. R. Burton and J. E. Steif, Quite weak Bernoulli with exponential rate and percolation for random fields, to appear in Stochastic Processes and their Applications.
6. P. L. Dobrushin, The description of a random field by means of conditional probabilities and conditions of its regularity, Theory of Probability and its Applications 13 (1968), 197-224.
7. H. Georgii, Gibbs Measures and Phase Transitions, de Gruyter, New York, 1988.
8. R. B. Griffiths, Correlations in Ising ferromagnets, Journal of Mathematical Physics 8 (1967), 478-489.
9. G. Grimmett, Percolation, Springer, New York, 1989.
10. O. Häggström, A subshift of finite type that is equivalent to the Ising model, to appear in Ergodic Theory and Dynamical Systems.
11. O. Häggström, On the relation between finite range potentials and subshifts of finite type, Probability Theory and Related Fields 101 (1995), 469-478.
12. J. M. Hammersley, Percolation processes. Lower bounds for the critical probability, Annals of Mathematical Statistics 28 (1957), 790-795.
13. D. G. Kelly and S. Sherman, General Griffiths inequalities on correlations in Ising ferromagnets, Journal of Mathematical Physics 9 (1968), 466-484.
14. H. Kesten, Percolation theory and first-passage percolation, The Annals of Probability 15 (1987), 1231-1271.
15. J. L. Lebowitz and G. Gallavotti, Phase transitions in binary lattice gases, Journal of Mathematical Physics 12 (1971), 1129-1133.
16. T. M. Liggett, Interacting Particle Systems, Springer, New York, 1985.
17. T. Lindvall, Lectures on the Coupling Method, Wiley, New York, 1992.
18. M. V. Menshikov and K. D. Pelikh, Percolation with several types of defects. Estimation of the critical probability on the square lattice, Matematicheskie Zametski 46 (1989), 38-47 (in Russian).
19. +-action on a compact space, Astérisque 40 (1975), 147-157.
20. W. Parry, Intrinsic Markov chains, Transactions of the American Mathematical Society 112 (1964), 55-66.
21. B. Widom and J. S. Rowlinson, New model for the study of liquid-vapor phase transitions, Journal of Chemical Physics 52 (1970), 1670-1684.