, Arctic boundaries of the ice model on three-bundle domains, 2018.
Numerical study of the 6-vertex model with domain wall boundary conditions, Annales de l'Institut Fourier, vol.55, pp.1847-1869, 2005. ,
Exactly solved models in statistical mechanics, 1989. ,
On the weighted enumeration of alternating sign matrices and descending plane partitions, J. Combin. Theory Ser. A, vol.119, issue.2, pp.331-363, 2012. ,
, A doubly-refined enumeration of alternating sign matrices and descending plane partitions, J. Combin. Theory Ser. A, vol.120, issue.2, pp.409-432, 2013.
Six-vertex model with partial domain wall boundary conditions: Ferroelectric phase, Journal of Mathematical Physics, vol.56, issue.2, p.23302, 2015. ,
Local statistics for random domino tilings of the aztec diamond, Duke Math. J, vol.85, issue.1, pp.117-166, 1996. ,
Six vertex model with domainwall boundary conditions in the bethe-peierls approximation, Journal of Statistical Mechanics: Theory and Experiment, p.6008, 2014. ,
The arctic curve of the domain-wall six-vertex model, Journal of Statistical Physics, vol.138, issue.4, pp.662-700, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00526718
, The limit shape of large alternating sign matrices, SIAM J. Discrete Math, vol.24, issue.4, pp.1558-1571, 2010.
The arctic curve of the domain wall sixvertex model in its antiferroelectric regime, J. Stat. Mech. Theory Exp, vol.03002, issue.3, p.11, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00526718
Arctic curves of the six-vertex model on generic domains: the tangent method, J. Stat. Phys, vol.164, issue.6, pp.1488-1523, 2016. ,
Arctic curves for paths with arbitrary starting points: a tangent method approach, J. Phys. A: Math. Theor, vol.51, issue.35, p.355201, 2018. ,
URL : https://hal.archives-ouvertes.fr/cea-02011867
, The arctic curve for aztec rectangles with defects via the tangent method, Journal of Statistical Physics, vol.176, issue.3, pp.639-678, 2019.
, A tangent method derivation of the arctic curve for q-weighted paths with arbitrary starting points, Journal of Physics A: Mathematical and Theoretical, vol.52, issue.11, p.115205, 2019.
, Twenty-vertex model with domain wall boundaries and domino tilings, 2019.
Arctic curves in path models from the tangent method, J. Phys. A: Math. Theor, vol.51, p.155202, 2018. ,
URL : https://hal.archives-ouvertes.fr/cea-01692535
Arctic curves of the octahedron equation, J. Phys. A, vol.47, issue.28, p.34, 2014. ,
URL : https://hal.archives-ouvertes.fr/cea-01002519
Concavity analysis of the tangent method, 2019. ,
Tangent method for the arctic curve arising from freezing boundaries, 2018. ,
The arctic circle boundary and the airy process, Annals of Probability, vol.33, pp.1-30, 2003. ,
, Random domino tilings and the arctic circle theorem, 1998.
Twenty-vertex model on a triangular lattice, Australian Journal of Physics, vol.27, pp.813-829, 1974. ,
Numerical study of the f model with domain-wall boundaries, Phys. Rev. E, vol.95, p.52117, 2017. ,
Planar dimers and harnack curves, Duke Math. J, vol.131, issue.3, pp.499-524, 2006. ,
, Limit shapes and the complex burgers equation, Acta Math, vol.199, issue.2, pp.263-302, 2007.
Dimers and amoebae, Ann. Math, vol.163, pp.1019-1056, 2006. ,
Double-dimers, the Ising model and the hexahedron recurrence, 25th International Conference on Formal Power Series and Algebraic Combinatorics ,
, Discrete Math. Theor. Comput. Sci. Proc., AS, Assoc. Discrete Math. Theor. Comput. Sci, pp.109-120, 2013.
Descending plane partitions and rhombus tilings of a hexagon with a triangular hole, European J. Combin, vol.27, issue.7, pp.1138-1146, 2006. ,
Phase separation in the six-vertex model with a variety of boundary conditions, Journal of Mathematical Physics, vol.59, issue.5, p.53301, 2018. ,
The density profile of the six vertex model with domain wall boundary conditions, Journal of Statistical Mechanics: Theory and Experiment, vol.2017, issue.5, p.53103, 2017. ,
Directed-loop monte carlo simulations of vertex models, Phys. Rev. E, vol.70, p.16118, 2004. ,
,
,
,
,