M. Aizenman and D. J. Barsky, Sharpness of the phase transition in percolation models, Communications in Mathematical Physics, vol.11, issue.3, pp.489-526, 1987.
DOI : 10.1007/BF01212322

M. Aizenman, J. Bricmont, and J. L. Lebowitz, Percolation of the minority spins in high-dimensional Ising models, Journal of Statistical Physics, vol.35, issue.3-4, pp.3-4859, 1987.
DOI : 10.1007/BF01009363

M. Aizenman, J. T. Chayes, L. Chayes, and C. M. Newman, The phase boundary in dilute and random Ising and Potts ferromagnets, Journal of Physics A: Mathematical and General, vol.20, issue.5, pp.313-318, 1987.
DOI : 10.1088/0305-4470/20/5/010

M. Aizenman, J. T. Chayes, L. Chayes, and C. M. Newman, Discontinuity of the magnetization in one-dimensional 1/???x?y???2 Ising and Potts models, Journal of Statistical Physics, vol.187, issue.Suppl., pp.1-40, 1988.
DOI : 10.1007/BF01022985

M. Aizenman and J. Wehr, Rounding of first-order phase transitions in systems with quenched disorder, Physical Review Letters, vol.62, issue.21, pp.2503-2506, 1989.
DOI : 10.1103/PhysRevLett.62.2503

K. Alexander, J. T. Chayes, and L. Chayes, The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation, Communications in Mathematical Physics, vol.50, issue.1, pp.1-50, 1990.
DOI : 10.1007/BF02097679

K. S. Alexander, Cube-Root Boundary Fluctuations??for Droplets in Random Cluster Models, Communications in Mathematical Physics, vol.224, issue.3, pp.733-781, 2001.
DOI : 10.1007/s220-001-8022-2

K. S. Alexander, F. Cesi, L. Chayes, C. Maes, and F. Martinelli, Convergence to equilibrium of random Ising models in the Griffiths phase, J. Statist. Phys, vol.92, pp.3-4337, 1998.

L. Ambrosio and A. Braides, Functionals defined on partitions in sets of finite perimeter. II. Semicontinuity, relaxation and homogenization, J. Math. Pures Appl, vol.69, issue.93, pp.307-333, 1990.

L. Ambrosio, N. Fusco, and D. Pallara, Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs, 2000.

M. Biskup, L. Chayes, and R. Koteck´ykoteck´y, Critical Region for Droplet Formation in the Two-Dimensional Ising Model, Communications in Mathematical Physics, vol.34, issue.1-2, pp.137-183, 2003.
DOI : 10.1007/s00220-003-0946-x

T. Bodineau, The Wulff Construction in Three and More Dimensions, Communications in Mathematical Physics, vol.207, issue.1, pp.197-229, 1999.
DOI : 10.1007/s002200050724

T. Bodineau, Slab percolation for the Ising model. Probab. Theory Related Fields, pp.83-118, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00101846

T. Bodineau, D. Ioffe, and Y. Velenik, Rigorous probabilistic analysis of equilibrium crystal shapes, Probabilistic techniques in equilibrium and nonequilibrium statistical physics, pp.1033-1098, 2000.
DOI : 10.1063/1.533180

D. Boivin, Ergodic theorems for surfaces with minimal random weights, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.34, issue.5, pp.567-599, 1998.
DOI : 10.1016/S0246-0203(98)80001-0

A. Bovier, Statistical mechanics of disordered systems. Cambridge Series in Statistical and Probabilistic Mathematics, 2006.

J. Bricmont, A. Mellouki, and J. Fröhlich, Random surfaces in statistical mechanics: Roughening, rounding, wetting,..., Journal of Statistical Physics, vol.5, issue.5-6, pp.5-6743, 1986.
DOI : 10.1007/BF01010444

J. Bricmont and A. Kupiainen, Phase transition in the 3d random field Ising model, Communications in Mathematical Physics, vol.32, issue.4, pp.539-572, 1988.
DOI : 10.1007/BF01224901

M. Campanino and D. Ioffe, Ornstein-Zernike theory for the Bernoulli bond percolation on $\mathbb{Z}^d$, The Annals of Probability, vol.30, issue.2, pp.652-682, 2002.
DOI : 10.1214/aop/1023481005

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

P. Carmona, F. Guerra, Y. Hu, and O. Menjane, Strong Disorder for a Certain Class of Directed Polymers in a Random Environment, Journal of Theoretical Probability, vol.147, issue.2, pp.134-151, 2006.
DOI : 10.1007/s10959-006-0010-9
URL : https://hal.archives-ouvertes.fr/hal-00128530

P. Carmona and Y. Hu, On the partition function of a directed polymer in a Gaussian random environment. Probab. Theory Related Fields, pp.431-457, 2002.

R. Cerf, Large deviations for three dimensional supercritical percolation, Astérisque, issue.267, p.177, 2000.

R. Cerf, The Wulff crystal in Ising and percolation models, volume 1878 of Lecture Notes in Mathematics Lectures from the 34th Summer School on Probability Theory held in Saint-Flour, 2004.

R. Cerf and A. Pisztora, On the Wulff crystal in the Ising model, Ann. Probab, vol.28, issue.3, pp.947-1017, 2000.

R. Cerf and A. Pisztora, Phase coexistence in Ising, Potts and percolation models, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.37, issue.6, pp.643-724, 2001.
DOI : 10.1016/S0246-0203(01)01083-4

D. Chafa¨?chafa¨?, Inégalités de Poincaré et de Gross pour les mesures de Bernoulli, de Poisson, 2005.

J. T. Chayes, L. Chayes, and J. Fröhlich, The low-temperature behavior of disordered magnets, Communications in Mathematical Physics, vol.18, issue.3, pp.399-437, 1985.
DOI : 10.1007/BF01206137

F. Comets, T. Shiga, and N. Yoshida, Directed polymers in a random environment: path localization and strong disorder, Bernoulli, vol.9, issue.4, pp.705-723, 2003.
DOI : 10.3150/bj/1066223275
URL : https://hal.archives-ouvertes.fr/hal-00103820

F. Comets, T. Shiga, and N. Yoshida, Probabilistic analysis of directed polymers in a random environment : a review, Stochastic analysis on large scale interacting systems, pp.115-142, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00104909

F. Comets and V. Vargas, Majorizing multiplicative cascades for directed polymers in random media, ALEA Lat. Am. J. Probab. Math. Stat, vol.2, pp.267-277, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00012577

A. Dembo and O. Zeitouni, Large deviations techniques and applications, Applications of Mathematics, vol.38, 1998.
DOI : 10.1007/978-1-4612-5320-4

J. Deuschel and A. Pisztora, Surface order large deviations for high-density percolation. Probab. Theory Related Fields, pp.467-482, 1996.
DOI : 10.1007/bf01198162

R. Dobrushin and O. Hryniv, Fluctuations of the Phase Boundary in the 2D Ising Ferromagnet, Communications in Mathematical Physics, vol.189, issue.2, pp.395-445, 1997.
DOI : 10.1007/s002200050209

R. Dobrushin, R. Koteck´ykoteck´y, and S. Shlosman, Wulff construction : A global shape from local interaction, volume 104 of Translations of Mathematical Monographs, 1992.

H. Federer, Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften, 1969.

I. Fonseca, The Wulff theorem revisited [38] I. Fonseca and S. Müller. A uniqueness proof for the Wulff theorem, Proc. Roy. Soc. London Ser. A Proc. Roy. Soc. Edinburgh Sect. A, vol.119, issue.12, pp.432125-145125, 1884.

T. Funaki, Stochastic interface models, Lectures on probability theory and statistics, pp.103-274, 2005.

H. Georgii, O. Häggström, and C. Maes, The random geometry of equilibrium phases, Phase transitions and critical phenomena, pp.1-142, 2001.
DOI : 10.1016/S1062-7901(01)80008-2

R. Griffiths, Nonanalytic Behavior Above the Critical Point in a Random Ising Ferromagnet, Physical Review Letters, vol.23, issue.1, pp.17-19, 1969.
DOI : 10.1103/PhysRevLett.23.17

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, The random-cluster model, 2006.

G. Grimmett and J. M. Marstrand, The Supercritical Phase of Percolation is Well Behaved, Proc. Roy. Soc. London Ser. A, pp.430439-457, 1879.
DOI : 10.1098/rspa.1990.0100

D. A. Huse and D. S. Fisher, Dynamics of droplet fluctuations in pure and random Ising systems, Physical Review B, vol.35, issue.13, pp.6841-6846, 1987.
DOI : 10.1103/PhysRevB.35.6841

D. A. Huse and C. L. Henley, Pinning and Roughening of Domain Walls in Ising Systems Due to Random Impurities, Physical Review Letters, vol.54, issue.25, pp.2708-2711, 1985.
DOI : 10.1103/PhysRevLett.54.2708

J. Imry, Griffiths singularity in finite macroscopically large dilute Ising models, Physical Review B, vol.15, issue.9, pp.4448-4450, 1977.
DOI : 10.1103/PhysRevB.15.4448

Y. Imry and S. Ma, Random-Field Instability of the Ordered State of Continuous Symmetry, Physical Review Letters, vol.35, issue.21, pp.1399-1401, 1975.
DOI : 10.1103/PhysRevLett.35.1399

D. Ioffe, Large deviations for the 2D ising model: A lower bound without cluster expansions, Journal of Statistical Physics, vol.15, issue.158, pp.411-432, 1994.
DOI : 10.1007/BF02186818

D. Ioffe, Exact large deviation bounds up to T c for the Ising model in two dimensions. Probab. Theory Related Fields, pp.313-330, 1995.

D. Ioffe and R. H. Schonmann, Dobrushin-Koteck??-Shlosman Theorem up to the Critical Temperature, Communications in Mathematical Physics, vol.199, issue.1, pp.117-167, 1998.
DOI : 10.1007/s002200050497

E. Ising, Beitrag zur Theorie des Ferromagnetismus, Zeitschrift f??r Physik, vol.6, issue.4, p.31, 1925.
DOI : 10.1007/BF02980577

K. Johansson, Shape Fluctuations and Random Matrices, Communications in Mathematical Physics, vol.209, issue.2, pp.437-476, 2000.
DOI : 10.1007/s002200050027
URL : http://arxiv.org/abs/math/9903134

H. Kesten, Aspects of first passage percolation, Lecture Notes in Math, vol.1180, pp.125-264, 1986.
DOI : 10.1007/BFb0074919

H. Kesten, Surfaces with minimal random weights and maximal flows : a higherdimensional version of first-passage percolation, Illinois J. Math, vol.31, issue.1, pp.99-166, 1987.

J. F. Kingman, The ergodic theory of subadditive stochastic processes, J. Roy. Statist. Soc. Ser. B, vol.30, pp.499-510, 1968.

S. Kobe, Ernst Ising???Physicist and Teacher, Journal of Statistical Physics, vol.88, issue.3/4, pp.991-995, 1997.
DOI : 10.1023/B:JOSS.0000015184.19421.03

R. Koteck´ykoteck´y and C. Pfister, Equilibrium shapes of crystals attached to walls, Journal of Statistical Physics, vol.50, issue.155, pp.419-445, 1994.
DOI : 10.1007/BF02188669

J. L. Lebowitz, Coexistence of phases in Ising ferromagnets, Journal of Statistical Physics, vol.33, issue.6, pp.463-476, 1977.
DOI : 10.1007/BF01152284

M. Ledoux, The concentration of measure phenomenon, volume 89 of Mathematical Surveys and Monographs, 2001.

W. Lenz, Beitrag zum verständnis der magnetischen eigenschaften in festen körpern, Phys. Zeitschrift, vol.21, pp.613-615, 1920.

T. M. Liggett, R. H. Schonmann, and A. M. Stacey, Domination by product measures, The Annals of Probability, vol.25, issue.1, pp.71-95, 1997.
DOI : 10.1214/aop/1024404279

F. Martinelli, Lectures on Glauber Dynamics for Discrete Spin Models, Lecture Notes in Math, vol.1717, pp.93-191, 1997.
DOI : 10.1007/978-3-540-48115-7_2

M. V. Menshikov, Coincidence of critical points in percolation problems, Dokl. Akad. Nauk SSSR, vol.288, issue.6, pp.1308-1311, 1986.

A. Messager, S. Miracle-solé, and J. Ruiz, Convexity properties of the surface tension and equilibrium crystals, Journal of Statistical Physics, vol.154, issue.155, pp.3-4449, 1992.
DOI : 10.1007/BF01049716

C. M. Newman, Topics in disordered systems, Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, 1997.
DOI : 10.1007/978-3-0348-8912-4

L. Onsager, Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition, Physical Review, vol.65, issue.3-4, pp.117-149, 1944.
DOI : 10.1103/PhysRev.65.117

R. Peierls, On Ising's model of ferromagnetism, Proc. Camb, 1936.

C. Pfister, Large deviations and phase separation in the two-dimensional Ising model, Helv. Phys. Acta, vol.64, issue.7, pp.953-1054, 1991.

C. Pfister and Y. Velenik, Mathematical theory of the wetting phenomenon in the 2D Ising model, Papers honouring the 60th birthday of Klaus Hepp and of Walter Hunziker, Part I, pp.949-973, 1995.

C. Pfister and Y. Velenik, Large deviations and continuum limit in the 2D Ising model. Probab. Theory Related Fields, pp.435-506, 1997.

C. Pfister and Y. Velenik, Interface, Surface Tension and Reentrant Pinning Transition in the 2D Ising Model, Communications in Mathematical Physics, vol.204, issue.2, pp.269-312, 1999.
DOI : 10.1007/s002200050646

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

R. H. Schonmann and S. B. Shlosman, Constrained variational problem with applications to the Ising model, Journal of Statistical Physics, vol.170, issue.5-6, pp.5-6867, 1996.
DOI : 10.1007/BF02179548

R. H. Schonmann and S. B. Shlosman, Wulff Droplets and the Metastable Relaxation of Kinetic Ising Models, Communications in Mathematical Physics, vol.194, issue.2, pp.389-462, 1998.
DOI : 10.1007/s002200050363

J. E. Taylor, Crystalline variational problems, Bulletin of the American Mathematical Society, vol.84, issue.4, pp.568-588, 1978.
DOI : 10.1090/S0002-9904-1978-14499-1
URL : http://projecteuclid.org/download/pdf_1/euclid.bams/1183540923

M. Theret, On the small maximal flows in first passage percolation, Annales de la facult?? des sciences de Toulouse Math??matiques, vol.17, issue.1, 2007.
DOI : 10.5802/afst.1181

M. Theret, Upper large deviations for the maximal flow in first passage percolation. Stochastic Process, Appl, vol.117, issue.9, pp.1208-1233, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00659114

J. Van-den, H. Berg, and . Kesten, Inequalities for the Time Constant in First-Passage Percolation, The Annals of Applied Probability, vol.3, issue.1, pp.56-80, 1993.
DOI : 10.1214/aoap/1177005507

V. Vargas, Strong localization and macroscopic atoms for directed polymers. Probab. Theory Related Fields, pp.391-410, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00020421

G. Wulff, Zur frage der geschwindigkeit des wachstums und der auflösung der krystallflächen, Z. Krystallogr, vol.34, pp.449-530, 1901.