D. B. Abraham and A. Martin-löf, The transfer matrix for a pure phase in the two-dimensional Ising model, Communications in Mathematical Physics, vol.65, issue.3, pp.245-268, 1973.
DOI : 10.1007/BF01645595

M. Aizenman, Translation invariance and instability of phase coexistence in the two dimensional Ising system, Communications in Mathematical Physics, vol.43, issue.1, pp.83-94, 1980.
DOI : 10.1007/BF01942696

K. S. Alexander, On weak mixing in lattice models. Probab. Theory Related Fields, pp.441-471, 1998.

M. Biskup, C. Borgs, J. T. Chayes, and R. Koteck´ykoteck´y, Gibbs states of graphical representations of the Potts model with external fields, Probabilistic techniques in equilibrium and nonequilibrium statistical physics, pp.1170-1210, 2000.
DOI : 10.1063/1.533183

J. R. Brown, Ergodic theory and topological dynamics, Pure and Applied Mathematics, issue.70, 1976.

M. Campanino, D. Ioffe, and Y. Velenik, Ornstein-Zernike theory for finite range Ising models above Tc. Probab. Theory Related Fields, pp.305-349, 2003.

R. Cerf and . Pisztora, Phase coexistence in Ising, Potts and percolation models, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.37, issue.6
DOI : 10.1016/S0246-0203(01)01083-4

J. T. Chayes, L. Chayes, G. R. Grimmett, H. Kesten, and R. H. Schonmann, The Correlation Length for the High-Density Phase of Bernoulli Percolation, The Annals of Probability, vol.17, issue.4, pp.1277-1302, 1989.
DOI : 10.1214/aop/1176991155

J. T. Chayes, L. Chayes, and C. M. Newman, Bernoulli Percolation Above Threshold: An Invasion Percolation Analysis, The Annals of Probability, vol.15, issue.4, pp.1272-1287, 1987.
DOI : 10.1214/aop/1176991976

O. Garet, Limit Theorems for the painting of graphs by clusters, ESAIM: Probability and Statistics, vol.5, pp.105-118, 2001.
DOI : 10.1051/ps:2001104

H. Georgii, Gibbs measures and phase transitions, 1988.
DOI : 10.1515/9783110850147

H. Georgii and Y. Higuchi, Percolation and number of phases in the two-dimensional Ising model, Probabilistic techniques in equilibrium and nonequilibrium statistical physics, pp.1153-1169, 2000.
DOI : 10.1063/1.533182

G. R. Grimmett and M. S. Piza, Decay of Correlations in Random-Cluster Models, Communications in Mathematical Physics, vol.189, issue.2, pp.465-480, 1997.
DOI : 10.1007/s002200050211

G. Grimmett, The Stochastic Random-Cluster Process and the Uniqueness of Random-Cluster Measures, The Annals of Probability, vol.23, issue.4, pp.1461-1510, 1995.
DOI : 10.1214/aop/1176987791

G. Grimmett, Percolation and disordered systems, Lectures on probability theory and statistics, pp.153-300, 1996.
DOI : 10.1007/BFb0092620

G. Grimmett, The random-cluster model. preprint:arXiv:math.PR, p.2, 2003.

O. Häggström, Random-cluster representations in the study of phase transitions, Markov Process. Related Fields, pp.275-321, 1998.

O. Häggström, Coloring percolation clusters at random. Stochastic Process, Appl, vol.96, issue.2, pp.213-242, 2001.

O. Häggström, J. Jonasson, and R. Lyons, Coupling and Bernoullicity in randomcluster and Potts models, Bernoulli, vol.8, issue.3, pp.275-294, 2002.

. Higuchi, On the absence of non-translation invariant Gibbs states for the two-dimensional Ising model, Random fields, pp.517-534, 1979.

H. Kesten and Y. Zhang, The Probability of a Large Finite Cluster in Supercritical Bernoulli Percolation, The Annals of Probability, vol.18, issue.2, pp.537-555, 1990.
DOI : 10.1214/aop/1176990844

A. Martin-löf, Mixing properties, differentiability of the free energy and the central limit theorem for a pure phase in the Ising model at low temperature, Communications in Mathematical Physics, vol.24, issue.1, pp.75-92, 1973.
DOI : 10.1007/BF01646430

C. M. Newman, Normal fluctuations and the FKG inequalities, Communications in Mathematical Physics, vol.28, issue.2, pp.119-128, 1980.
DOI : 10.1007/BF01197754

URL : http://projecteuclid.org/download/pdf_1/euclid.cmp/1103907978

C. M. Newman and L. S. Schulman, Infinite clusters in percolation models, Journal of Statistical Physics, vol.74, issue.3, pp.613-628, 1981.
DOI : 10.1007/BF01011437

C. M. Newman and L. S. Schulman, Number and density of percolating clusters, Journal of Physics A: Mathematical and General, vol.14, issue.7, pp.1735-1743, 1981.
DOI : 10.1088/0305-4470/14/7/028

A. Pisztora, Surface order large deviations for Ising, Potts and percolation models. Probab. Theory Related Fields, pp.427-466, 1996.

M. Laboratoire-de, Applications et Physique Mathématique d'Orléans UMR 6628, Université d'Orléans, B.P. 6759, 45067 Orléans Cedex 2 France E-mail address