Domination by product measures

Annals of Probability

Volumn 25, Issue 1, 1997, Pages 71-95

  Liggett, T M ^a   Schonmann, R H ^a   Stacey, A M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Critical points; Product measures; Random fields; Rescaling; Stochastic domination

Indexed keywords

EID: 0031514909     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1024404279     Document Type: Article

References (12)

1. AARONSON, J., GILAT, D., KEANE, M. and DE VALK, V. (1989). An algebraic construction of a class of one-dependent processes. Ann. Probab. 17 128-143.
2. ANDJEL, E. (1993). Characteristic exponents for two-dimensional bootstrap percolation. Ann. Probab. 21 926-935.
3. ANTAL, P. and PISZTORA, A. (1996). On the chemical distance for supercritical Bernoulli percolation. Ann. Probab. 24 1036-1048.
4. BOLLOBÁS, B. (1985). Random Graphs. Academic Press, London.
5. DURRETT, R. (1988). Lecture Notes on Particle Systems and Percolation. Wadsworth & Brooks/Cole, Pacific Grove, CA.
6. ERDOS, P. and LOVÁSZ, L. (1975). Problems and results on 3-chromatic hypergraphs and some related results. In Infinite and Finite Sets (A. Hajnal, R. Rado and V. T. Sós, eds.) Coll. Math. Soc. János Bolyai 11 609-627.
7. LIGGETT, T. M. (1985). Interacting Particle Systems. Springer, New York.
8. PENROSE, M. and PISZTORA, A. (1996). Large deviations for discrete and continuous percolation. Adv. in Appl. Probab. 28 29-52.
9. PISZTORA, A. (1996). Surface order large deviations for Ising, Potts and percolation models. Probab. Theory Related Fields 104 427-466.
10. RUSSO, L. (1982). An approximate zero-one law. Z. Wahrsch. Verw. Gebiete 61 129-139.
11. SCHONMANN, R. H. (1994). Theorems and conjectures on the droplet-driven relaxation of stochastic Ising models. In Probability and Phase Transition (G. Grimmett, ed.) 265-301. Kluwer, Dordrecht.
12. SHEARER, J. B. (1985). On a problem of Spencer. Combinatorica 5 241-245.