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Lattice statistical mechanics, often provides a natural (holonomic) framework to perform singularity analysis with several complex variables that would, in a general mathematical framework, be too complex, or could not be defined.
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1990
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1991
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J-C. Anglès d’ Auriac, J-M. Maillard and F. Y. Wu, Three-state chiral Potts models on the triangular lattice: a Monte-Carlo study
1991
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F. Y. Wu, Jones polynomial and the Potts model
1992
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J-M. Maillard and C-M. Viallet, Quasi-Integrability of the sixteen vertex model
1992
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V. I. Arnold, Catastrophe Theory
1992
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2003
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2003
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2004
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N. Zenine, S. Boukraa, S. Hassani and J-M. Maillard, Ising model susceptibility: Fuchsian differential equation for χ ( 4 ) \chi^{(4)} and its factorization properties
2005
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N. Zenine, S. Boukraa, S. Hassani and J.-M. Maillard, Square lattice Ising model susceptibility: connection matrices and singular behavior of χ ( 3 ) \chi^{(3)} and χ ( 4 ) \chi^{(4)}
2005
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J-M. Maillard, F. Y. Wu and C-K Hu, Thermal transmissivity in discrete spin systems: formulation and applications
1992
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M. T. Jaekel and J-M. Maillard, Inversion functional relations for lattice models
1992
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V. V. Batyrev and D. van Straten, Generalized Hypergeometric Functions and Rational Curves on Calabi-Yau Intersections in Toric Varieties
1993
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J-M. Maillard, G. Rollet, and F. Y. Wu, An exact critical frontier for the Potts model on the 3-12 lattice
1993
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I. M. Gelfand, M. M. Kapranov and A. V. Zelevinsky, , Discriminants, Resultants and Multidimensional Determinants
1994
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J-M.Maillard, G. Rollet, and F.Y. Wu, Inversion relations and symmetry groups for Potts models on the triangular lattice
1994
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A. Morra, Théorie et pratique de la méthode des points d’Heegner
2006
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S. Boukraa, S. Hassani, J-M. Maillard and N. Zenine, Landau singularities and singularities of holonomic integrals of the square Ising class
2007
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S. Boukraa, S. Hassani, J-M. Maillard, N. Zenine, Singularities of n \,n -fold integrals of the Ising class and the theory of elliptic curves
2007
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M. Huber, Infrared Behavior of Vertex Functions in d-Dimensional Yang-Mills Theory
2007
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S. Boukraa, S. Hassani, J-M. Maillard, B. M. McCoy, W. Orrick, and N. Zenine, Holonomy of the Ising model form factors
2007
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S. Boukraa, S. Hassani, J-M. Maillard, B. M. McCoy, J-A. Weil and N. Zenine, Fuchs versus Painlevé
2007
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2008
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P. Huggins, B. Sturmfels, J. Yu, D. Yuster, The Hyperdeterminant and Triangulations of the 4-Cube
2008
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Hyperdeterminacy, Schläfli’s Hyperdeterminant
2008
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S. Boukraa, A. J. Guttmann, S. Hassani, I. Jensen, J-M. Maillard, B. Nickel and N. Zenine, Experimental mathematics on the magnetic susceptibility of the square Ising model
2008
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J-M. Maillard, A challenge of enumerative combinatorics: the graph of contributions of Professor Fa-Yueh Wu
2009
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N. Kitanine, K.K. Koslowski, J-M. Maillet, N. A. Slavnov and V. Terras, On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain
2009
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2010
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B. Nickel, I. Jensen, S. Boukraa, A. J. Guttmann, S. Hassani, J-M. Maillard and N. J. Zenine, χ ( 5 ) \,\chi^{(5)} in exact arithmetics
2010
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C. Koutschan, A Fast Approach to Creative Telescopic
2010
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Y. Yang and W. Zudilin, On S p 4 \,Sp_{4} modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds
2010
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2010
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Y. Chan, A. J. Guttmann, B. G. Nickel and J. H. H. Perk, The Ising Susceptibility Scaling Function
2011
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M. Assis, J-M. Maillard, B.M. McCoy, Factorization of the Ising model form factors
2011
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C. Koutschan, Lattice Green’s Functions of the Higher-Dimensional Face-Centered Cubic Lattices
2011
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J. Phys. A 44
A. Bostan, S. Boukraa, S. Hassani, M. van Hoeij, J-M. Maillard, J-A. Weil, N. J. Zenine, The Ising model: from elliptic curves to modular forms and Calabi-Yau equations · 2011
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A. Bostan, F. Chyzak and B. Salvy, D-finitude: algorithmes et applications
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