. J. Af-]-m, A. S. Ablowitz, and . Fokas, Complex Variables: Introduction and Applications, 2003.

. B. Ar-]-d, P. Abraham, and . Reed, Phase separation in the two-dimensional Ising ferromagnet Interface profile of the Ising ferromagnet in two dimensions, Phys. Rev. Lett. Commun. Math. Phys, vol.33, issue.49, pp.377-379, 1974.

. B. Au-]-d, P. J. Abraham, and . Upton, Interface at general orientation in a two-dimensional Ising model Aizenman, Translation invariance and instability of phase coexistence in the two-dimensional Ising system, Phys. Rev. B Commun. Math. Phys, vol.37, issue.73, pp.3835-3837, 1980.

]. A. Ba and . Basuev, Ising model in half-space: A series of phase transitions in low magnetic fields, Theor. and Math, Bleher, Extremity of the disordered phase in the Ising model on the Bethe lattice, pp.1539-1574, 1990.

. M. Bg-]-p, N. N. Bleher, and . Ganikhodzhaev, On pure phases of the Ising model on the Bethe lattices, Teoriya Veroyatnostei i ee Primeneniya, pp.220-230, 1990.

. M. Civ, D. Campanino, Y. Ioffe, and . Van-velenik, Ornstein-Zernike theory for finite range Ising models above T c , Probability Th, Rel. Fields, vol.125, pp.305-349, 2003.

. [. Dobrushin, Gibbsian random fields for lattice systems with mutual interaction, Funct. Anal. Appl, vol.2, pp.31-43, 1968.
DOI : 10.1007/bf01075681

. [. Dobrushin, The Gibbs state that describes the coexistence of phases for a three-dimensional Ising model, Teor. Verojatnost. i Primenen, vol.17, pp.619-639, 1972.

. L. Dks-]-r, R. Dobrushin, S. B. Kotecky, and . Shlosman, Wulff construction: a global shape from local interaction, AMS translations series, 1992.

. L. Ds-]-r, S. Dobrushin, and . Shlosman, Non-Gibbsian " states and their Gibbs description, Commun. Math. Phys, vol.200, pp.125-179, 1999.

]. A. Vem, J. Van-enter, and . Miekisz, Breaking of periodicity at positive temperatures, Commun. Math. Phys, vol.134, pp.647-651, 1990.

]. A. Vemz, J. Van-enter, M. Miekisz, and . Zahradník, Nonperiodic longrange order for fast-decaying interactions at positive temperatures, J. Stat. Phys, vol.90, pp.1441-1447, 1998.

. P. Ffw-]-m, D. S. Fisher, J. D. Fisher, and . Weeks, Agreement of capillarywave theory with exact results for the interface profile of the twodimensional Ising model, Phys. Rev. Lett, vol.48, pp.368-368, 1982.

. D. Grs, J. Gandolfo, S. Ruiz, and . Shlosman, A manifold of pure Gibbs states of the Ising model on a Cayley tree, Georgi, Gibbs Measures and Phase Transitions. de Gruyter, pp.999-1005, 1988.

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

. D. Ist, S. Ioffe, F. Shlosman, and . Toninelli, Interaction versus entropic repulsion for low temperature Ising polymers, J. Stat. Phys, vol.158, pp.1007-1050, 2015.

. [. Kaufman, Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis, Physical Review, vol.47, issue.8, pp.1232-1243, 1949.
DOI : 10.1007/BF01331938

. E. Lr-]-o, D. Lanford, and . Ruelle, Observables at infinity and states with short range correlations in statistical mechanics, Commun. Math. Phys, vol.13, pp.194-215, 1969.

. M. Mw-]-b, T. T. Mccoy, and . Wu, The Two-dimensional Ising Model Onsager, Crystal statistics. I. A two-dimensional model with an order-disorder transition, Phys. Rev, vol.65, pp.117-149, 1944.

. D. Sml-]-t, D. C. Schultz, E. H. Mattis, and . Lieb, Two-dimensional Ising model as a soluble problem of many fermions, Rev. Mod. Phys, vol.36, pp.856-871, 1964.

S. B. Shlosman, Uniqueness and half-space nonuniqueness of Gibbs states in Czech models, Theor. and Math, Physics, vol.66, pp.284-293, 1986.

. L. Wf-]-o, D. S. White, and . Fisher, Scenario for spin-glass phase with infinitely many states, Phys. Rev. Lett, vol.96, p.137204, 2006.