On Random Graph Homomorphisms into Z

Journal of Combinatorial Theory. Series B

Volumn 78, Issue 1, 2000, Pages 86-114

  Benjamini, Itai ^a   Häggström, Olle ^b   Mossel, Elchanan ^c  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^c HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002458145     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1006/jctb.1999.1931     Document Type: Article

References (18)

1. Ash R. B. Information Theory. 1965;Dover, New York.
2. Asmussen S., Hering H. Branching Processes. 1983;Birkhäuser, Boston.
3. Benjamini I., Peres Y. Tree-indexed random walks on groups and first passage percolation. Probab. Theory Related Fields. 98:1994;91-112.
4. Durrett R. Probability: Theory and Examples. 1995;Duxbury, Belmont.
5. Fortuin C. M., Kasteleyn P. W., Ginibre J. Correlation inequalities on some partially ordered sets. Comm. Math. Phys. 22:1971;89-103.
6. Georgii H.-O. Gibbs Measures and Phase Transitions. 1988;de Gruyter, New York.
7. H.-O. Georgii, O. Häggström, and, C. Maes, The random geometry of equilibrium phases, in, Phase Transitions and Critical Phenomena, (, C. Domb and J. L. Lebowitz, Eds.), Academic Press, London, in press.
8. Grimmett G. R. The stochastic random-cluster process, and the uniqueness of random-cluster measures. Ann. Probab. 23:1995;1461-1510.
9. Häggström O. A subshift of finite type that is equivalent to the Ising model. Ergodic Theory Dynam. Systems. 15:1995;543-556.
10. Häggström O. On the relation between finite range potentials and subshifts of finite type. Probab. Theory Related Fields. 101:1995;469-478.
11. Holley R. Remarks on the FKG inequalities. Comm. Math. Phys. 36:1974;227-231.
12. Janson S. Gaussian Hilbert Spaces. 1997;Cambridge Univ. Press, Cambridge.
13. J. Kahn, in preparation, 1998.
14. Lawler G. F. Intersections of Random Walks. 1995;Birkhäuser, Boston.
15. Liggett T. M. Interacting Particle Systems. 1985;Springer-Verlag, New York.
16. Lindvall T. Lectures on the Coupling Method. 1992;Wiley, New York.
17. Ney P. Branching random walk. Alexander K., Watkins J. Spatial Stochastic Processes. 1991;3-22 Birkhäuser, Boston.
18. Talagrand M. Concentration of measure and isoperimetric inequalities in product spaces. Inst. Hautes Études Sci. Publ. Math. 81:1995;73-205.