no. 2
Stochastic domination : the contact process, Ising models and FKG measures
Annales de l'I.H.P. Probabilités et statistiques, Tome 42 (2006) no. 2, pp. 223-243 
@article{AIHPB_2006__42_2_223_0,
     author = {Liggett, Thomas M. and Steif, Jeffrey E.},
     title = {Stochastic domination : the contact process, {Ising} models and {FKG} measures},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {223--243},
     year = {2006},
     publisher = {Elsevier},
     volume = {42},
     number = {2},
     doi = {10.1016/j.anihpb.2005.04.002},
     mrnumber = {2199800},
     zbl = {1087.60074},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/j.anihpb.2005.04.002/}
}
TY  - JOUR
AU  - Liggett, Thomas M.
AU  - Steif, Jeffrey E.
TI  - Stochastic domination : the contact process, Ising models and FKG measures
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2006
SP  - 223
EP  - 243
VL  - 42
IS  - 2
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.1016/j.anihpb.2005.04.002/
DO  - 10.1016/j.anihpb.2005.04.002
LA  - en
ID  - AIHPB_2006__42_2_223_0
ER  - 
%0 Journal Article
%A Liggett, Thomas M.
%A Steif, Jeffrey E.
%T Stochastic domination : the contact process, Ising models and FKG measures
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2006
%P 223-243
%V 42
%N 2
%I Elsevier
%U https://www.numdam.org/articles/10.1016/j.anihpb.2005.04.002/
%R 10.1016/j.anihpb.2005.04.002
%G en
%F AIHPB_2006__42_2_223_0
Liggett, Thomas M.; Steif, Jeffrey E. Stochastic domination : the contact process, Ising models and FKG measures. Annales de l'I.H.P. Probabilités et statistiques, Tome 42 (2006) no. 2, pp. 223-243. doi: 10.1016/j.anihpb.2005.04.002

[1] V. Belitsky, P. Ferrari, N. Konno, T.M. Liggett, A strong correlation inequality for contact processes and oriented percolation, Stochastic Process Appl. 67 (1997) 213-225. | Zbl | MR

[2] I. Benjamini, R. Lyons, Y. Peres, O. Schramm, Group-invariant percolation on graphs, Geom. Funct. Anal. 9 (1999) 29-66. | Zbl | MR

[3] J. van den Berg, O. Häggström, J. Kahn, Some conditional correlation inequalities for percolation and related processes, Rand. Structures Algorithms, in press. | Zbl | MR

[4] J. Bricmont, J.L. Lebowitz, C. Maes, Percolation in strongly correlated systems: the massless Gaussian free field, J. Statist. Phys. 48 (1987) 1249-1268. | Zbl | MR

[5] E.I. Broman, J.E. Steif, Dynamical stability of percolation for some interacting particle systems and ϵ-stability, Ann. Probab., in press. | Zbl

[6] H.O. Georgii, Gibbs Measures and Phase Transitions, de Gruyter, 1988. | Zbl | MR

[7] O. Häggström, Infinite clusters in dependent automorphism invariant percolation on trees, Ann. Probab. 25 (1997) 1423-1436. | Zbl | MR

[8] R.A. Holley, T.M. Liggett, The survival of contact processes, Ann. Probab. 6 (1978) 198-206. | Zbl | MR

[9] T.M. Liggett, Interacting Particle Systems, Springer, 1985. | Zbl | MR

[10] T.M. Liggett, Survival and coexistence in interacting particle systems, in: Probability and Phase Transition, Kluwer Academic, 1994, pp. 209-226. | Zbl | MR

[11] T.M. Liggett, Survival of discrete time growth models, with applications to oriented percolation, Ann. Appl. Probab. 5 (1995) 613-636. | Zbl | MR

[12] T.M. Liggett, Stochastic Interacting Systems: Contact, Voter and Exclusion Processes, Springer, 1999. | Zbl | MR

[13] T.M. Liggett, R.H. Schonmann, A.M. Stacey, Domination by product measures, Ann. Probab. 25 (1997) 71-95. | Zbl | MR

[14] R. Lyons, J.E. Steif, Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination, Duke Math. J. 120 (2003) 515-575. | Zbl | MR

[15] C. Maes, F. Redig, S. Shlosman, A. Van Moffaert, Percolation, path large deviations and weak Gibbsianity, Comm. Math. Phys. 209 (2000) 517-545. | Zbl | MR

[16] R.H. Schonmann, Second order large deviation estimates for ferromagnetic systems in the phase coexistence region, Comm. Math. Phys. 112 (1987) 409-422. | MR

[17] C.J. Thompson, Mathematical Statistical Mechanics, Princeton University Press, 1972. | Zbl | MR

[18] J.C. Wierman, Substitution method critical probability bounds for the square lattice site percolation model, Combin. Probab. Comput. 4 (1995) 181-188. | Zbl | MR

Cité par Sources :