, On the weighted enumeration of alternating sign matrices and descending plane partitions, Journal of Combinatorial Theory, Series A, vol.119, issue.2, pp.331-363, 2012.
DOI : 10.1016/j.jcta.2011.09.004
, A doubly-refined enumeration of alternating sign matrices and descending plane partitions, Journal of Combinatorial Theory, Series A, vol.120, issue.2, 2012.
DOI : 10.1016/j.jcta.2012.09.004
, Geodesic distance in planar graphs, Nuclear Physics B, vol.663, issue.3, pp.535-567, 2003.
DOI : 10.1016/S0550-3213(03)00355-9
URL : https://hal.archives-ouvertes.fr/hal-00586662
, On the Hall algebra of an elliptic curve, I, Duke Math, J, vol.161, pp.1171-1231, 2012.
, Proof of the Razumov???Stroganov conjecture, Journal of Combinatorial Theory, Series A, vol.118, issue.5, pp.1549-1574, 2011.
DOI : 10.1016/j.jcta.2011.01.007
, Double affine Hecke algebras, London Mathematical Society Lecture Note Series, vol.319, 2005.
DOI : 10.1017/CBO9780511546501
, Arctic Curves of the Six-Vertex Model on Generic Domains: The Tangent Method, Journal of Statistical Physics, vol.18, issue.9, 2016.
DOI : 10.1103/PhysRevB.18.4789
, Geodesic Distance in Planar Graphs: An Integrable Approach, The Ramanujan Journal, vol.306, issue.4, pp.153-186, 2005.
DOI : 10.1007/s11139-005-4845-y
, Discrete Integrable Systems, Positivity, and Continued Fraction Rearrangements, Letters in Mathematical Physics, vol.25, issue.3, pp.299-324, 2010.
DOI : 10.1007/s10801-006-0039-y
, Quantum A r Q-system solutions as q-multinomial series, Elec. Jour. of Comb, vol.17, issue.176, 2011.
, Integrable 2D Lorentzian gravity and random walks, Nucl. Phys, pp.515-553, 2000.
, Q-systems, heaps, paths and cluster positivity, Comm. Math. Phys, vol.293, pp.727-80208113027, 2010.
DOI : 10.1007/s00220-009-0947-5
URL : http://arxiv.org/pdf/0811.3027
, Q-systems as cluster algebras II: Cartan matrix of finite type and the polynomial property, Lett. Math. Phys, vol.89, issue.3, pp.183-21608030362, 2009.
, Quantum cluster algebras and fusion products, Int. Math. Res. Not. IMRN, vol.2014, issue.10, 25932642.
, Non-commutative integrability, paths and quasi-determinants Advances in Math, pp.97-152, 2011.
, Difference equations for graded characters from quantum cluster algebra
URL : https://hal.archives-ouvertes.fr/cea-01251612
, Quantum Q systems: from cluster algebras to quantum current algebras, Letters in Mathematical Physics, vol.48, issue.3, pp.301-341, 2017.
DOI : 10.1063/1.2823979
URL : https://hal.archives-ouvertes.fr/cea-01531365
, t,q) Q-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators
URL : https://hal.archives-ouvertes.fr/cea-01531314
, A path model for Whittaker vectors, J. Phys. A: Math. Theor, vol.50, pp.255201-14078423, 2017.
URL : https://hal.archives-ouvertes.fr/cea-01251620
, Correlation functions in 2D string theory, Phys. Lett, pp.261-385, 1991.
, Arctic curves for paths models from the tangent method, preprint arXiv:1711, p.3182
, Around the Razumov-Stroganov conjecture: proof of a multiparameter sum rule, Res. Paper 6, p.27, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00004601
, Quantum Knizhnik-Zamolodchikov equation, totally symmetric self-complementary plane partitions, and alternating sign matrices, Theoretical and Mathematical Physics, vol.40, issue.1, pp.331-348, 2008.
DOI : 10.1017/CBO9780511613449
URL : https://hal.archives-ouvertes.fr/hal-00285943
, Inhomogeneous model of crossing loops and multidegrees of some algebraic varieties, Comm. Math. Phys, vol.262, issue.2, pp.459-487, 2006.
, Generalization of Drinfeld quantum affine algebras, Letters in Mathematical Physics, vol.41, issue.2, pp.181-193, 1997.
DOI : 10.1023/A:1007341410987
, On generalized Kostka polynomials and the quantum Verlinde rule, Amer, Math. Soc. Transl. Ser, vol.2, pp.194-61, 1999.
, Remarks on fermionic formula, Contemp. Math, vol.248, pp.243-291, 1998.
DOI : 10.1090/conm/248/03826
URL : http://arxiv.org/pdf/math/9812022
, -systems as cluster algebras, Journal of Physics A: Mathematical and Theoretical, vol.41, issue.19, p.14, 2008.
DOI : 10.1088/1751-8113/41/19/194011
URL : http://arxiv.org/pdf/0712.2695
, Reshetikhin, Representations of Yangians and multiplicity of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras, J. Sov. Math, pp.52-3156, 1990.
, Intersection theory on the moduli space of curves, Functional Analysis and Its Applications, vol.1, issue.2, pp.50-57, 1991.
DOI : 10.1007/BF01079591
, On Whittaker vectors and representation theory, Inventiones Mathematicae, vol.158, issue.2, pp.101-184, 1978.
DOI : 10.1007/BF01390249
, Another proof of the alternating-sign matrix conjecture, Int. Math. Res. Notices No, vol.3, pp.139-150, 1996.
, Symmetric functions and Hall polynomials, Oxford Mathematical Monographs, 1975.
, A (q,??) analog of the W1+??? algebra, Journal of Mathematical Physics, vol.42, issue.12, p.123520, 2007.
DOI : 10.1007/s002200050381
, Alternating sign matrices and descending plane partitions, Journal of Combinatorial Theory, Series A, vol.34, issue.3, pp.340-359, 1983.
DOI : 10.1016/0097-3165(83)90068-7
URL : https://doi.org/10.1016/0097-3165(83)90068-7
, Combinatorial Nature of the Ground-State Vector of the O(1) Loop Model, Theoretical and Mathematical Physics, vol.138, issue.3, pp.333-337, 2004.
DOI : 10.1023/B:TAMP.0000018450.36514.d7
, Determinants and alternating sign matrices, Advances in Mathematics, vol.62, issue.2, pp.169-184, 1986.
DOI : 10.1016/0001-8708(86)90099-X
URL : https://doi.org/10.1016/0001-8708(86)90099-x
, Bijective census and random generation of Eulerian planar maps, Conjugaison d'arbres et cartes combinatoires aléatoires, 1997.
, Abstract, Compositio Mathematica, vol.7, issue.01, pp.188-234, 2011.
DOI : 10.1007/978-94-010-0524-1_1
, Proof of the alternating sign matrix conjecture, R13. Department of Mathematics, 1996.