The Wulff construction in three and more dimensions, Comm. Math. Phys, vol.207, issue.1, pp.197-229, 1999. ,
Large deviations for three dimensional supercritical percolation, Astérisque, issue.267, p.177, 2000. ,
Ornstein-zernike theory for finite range ising models above tc. Probability Theory and Related Fields, vol.125, pp.305-349, 2003. ,
The initial drift of a 2d droplet at zero temperature. Probability Theory and Related Fields, vol.137, pp.379-428, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00134727
On the Wulff crystal in the Ising model, Ann. Probab, vol.28, issue.3, pp.947-1017, 2000. ,
Lifshitz' law for the volume of a two-dimensional droplet at zero temperature, Journal of Statistical Physics, vol.79, issue.5, pp.821-831, 1995. ,
A new look at the interfaces in percolation, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02100893
There is no isolated interface edge in very supercritical percolation, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02100894
Sharp phase transition for the random-cluster and Potts models via decision trees, Ann. of Math, vol.189, issue.2, pp.75-99, 2019. ,
Fluctuations of the phase boundary in the 2d ising ferromagnet, Communications in Mathematical Physics, vol.189, issue.2, pp.395-445, 1997. ,
A global shape from local interaction, Translations of Mathematical Monographs, vol.104, 1992. ,
Glauber evolution with kac potentials. i. mesoscopic and macroscopic limits, interface dynamics, Nonlinearity, vol.7, issue.3, p.633, 1994. ,
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. ,
Surface order large deviations for high-density percolation, Probab. Theory Related Fields, vol.104, issue.4, pp.467-482, 1996. ,
Generalization of the fortuinkasteleyn-swendsen-wang representation and monte carlo algorithm, Phys. Rev. D, vol.38, 1988. ,
Statistical Mechanics of Lattice Systems : A Concrete Mathematical Introduction, 2017. ,
Rigidity of the interface in percolation and random-cluster models, Journal of Statistical Physics, vol.109, issue.1, pp.1-37, 2002. ,
Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.41, pp.871-885, 2005. ,
Maximum and shape of interfaces in 3d ising crystals, 2019. ,
The stochastic random-cluster process and the uniqueness of random-cluster measures, Ann. Probab, vol.23, issue.4, pp.1461-1510, 1995. ,
Percolation. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, 1999. ,
The random-cluster model, Grundlehren der Mathematischen Wissenschaften ,
, , 2006.
Dynamical percolation, vol.33, pp.497-528, 1997. ,
Beitrag zur theorie des ferromagnetismus, Zeitschrift für Physik, vol.31, issue.1, pp.253-258, 1925. ,
Low temperature interfaces : Prewetting, layering, faceting and ferrari-spohn diffusions, Mark. Proc. Rel. Fields, vol.24, issue.1, pp.487-537, 2018. ,
Reversibility and Stochastic Networks, 2011. ,
InÉcole d'été de probabilités de Saint-Flour, XIV-1984, Lecture Notes in Math, vol.1180, pp.125-264, 1986. ,
Generalized motion by mean curvature as a macroscopic limit of stochastic ising models with long range interactions and glauber dynamics, Comm. Math. Phys, vol.169, issue.1, pp.61-97, 1995. ,
The heat equation shrinks ising droplets to points, Communications on Pure and Applied Mathematics, vol.68, issue.9, pp.1640-1681 ,
URL : https://hal.archives-ouvertes.fr/hal-00863460
Zero-temperature 2 d stochastic ising model and anisotropic curve-shortening flow, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00656387
Scaling limits of loop-erased random walks and uniform spanning trees, Israel Journal of Mathematics, vol.118, issue.1, pp.221-288, 2000. ,
Critical percolation in the plane : conformal invariance, cardy's formula, scaling limits, Comptes Rendus de l'Académie des Sciences -Series I -Mathematics, vol.333, issue.3, pp.239-244, 2001. ,
Towards conformal invariance of 2D lattice models, International Congress of Mathematicians, vol.II, pp.1421-1451, 2006. ,
Hydrodynamical limits and geometric measure theory : Mean curvature limits from a threshold voter model, Journal of Functional Analysis, vol.169, issue.2, pp.421-455, 1999. ,
Interface motion in models with stochastic dynamics, Journal of Statistical Physics, vol.71, issue.5, pp.1081-1132, 1993. ,
A survey of dynamical percolation, Fractal geometry and stochastics IV, vol.61, pp.145-174, 2009. ,
Bondary-connectivity via graph theory, 2007. ,
The localisation of low-temperature interfaces in d dimensional ising model, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02100895