Edit Profile (opens in new tab) Maillard, Jean-Marie Co-Author Distance Author ID: maillard.jean-marie Published as: Maillard, J.-M.; Maillard, Jean-Marie; Maillard, J. M.; Maillard, J-M; Maillard, J-M. more...less Documents Indexed: 101 Publications since 1974, including 7 Additional arXiv Preprints Co-Authors: 44 Co-Authors with 87 Joint Publications 910 Co-Co-Authors all top 5 Co-Authors 12 single-authored 49 Boukraa, Salah 36 Hassani, Saoud 23 Zenine, Nadjah 14 McCoy, Barry M. 11 Anglès d’Auriac, Jean-Christian 8 Bostan, Alin 8 Jensen, Iwan 8 Rollet, Geneviève 8 Viallet, Claude Michel 8 Weil, Jacques-Arthur 7 Assis, Michael 6 Abarenkova, Nina 6 Abdelaziz, Y. 6 Guttmann, Anthony John 5 Koutschan, Christoph 4 Bellon, Marc P. 3 Jacobsen, Jesper Lykke 2 Bouamra, M. 2 Christol, Gilles 2 Hoeij, M.van 2 Nickel, B. G. 2 Orrick, William P. 2 Wu, Fa Yueh 1 Bayen, François 1 Bedford, Eric 1 Bouchaud, Jean-Philippe 1 Chen, Chi-Ning 1 Dommange, S. 1 Georges, Antoine 1 Grammaticos, Basil 1 Hansel, David 1 Hu, Chinkun 1 Kim, Kyounghee 1 Korepanov, Igor Germanovich 1 Le Doussal, Pierre 1 Modi, Kavan 1 Nemoto, Koji 1 Nishimori, Hidetoshi 1 Pantone, Jay 1 Paterek, Tomasz 1 Paternostro, Mauro 1 Preissmann, Emmanuel 1 Price, Andrew Elvey 1 Ramani, Alfred 1 Sergeev, Sergeĭ Mikhaĭlovich 1 Sternheimer, Daniel 1 Truong Trung Tuyen all top 5 Serials 39 Journal of Physics A: Mathematical and Theoretical 15 Journal of Physics A: Mathematical and General 5 International Journal of Modern Physics B 4 Journal of Mathematical Physics 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Physica D 2 Journal of Statistical Physics 2 Physica A 2 Physics Letters. A 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Physical Review Letters 2 Annales de la Fondation Louis de Broglie 1 Letters in Mathematical Physics 1 Journal of Geometry and Physics 1 Mathematical and Computer Modelling 1 The Electronic Journal of Combinatorics 1 Mathematical Physics, Analysis and Geometry 1 Annals of Combinatorics 1 Progress of Theoretical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Advances in Mathematical Physics all top 5 Fields 65 Statistical mechanics, structure of matter (82-XX) 38 Ordinary differential equations (34-XX) 23 Quantum theory (81-XX) 19 Algebraic geometry (14-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Operator theory (47-XX) 16 Special functions (33-XX) 15 Several complex variables and analytic spaces (32-XX) 8 Topological groups, Lie groups (22-XX) 5 Number theory (11-XX) 5 Nonassociative rings and algebras (17-XX) 4 Field theory and polynomials (12-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 454 times in 166 Documents Cited by ▼ Year ▼ On the twisted convolution product and the Weyl transformation of tempered distributions. Zbl 0615.43004 Maillard, J. M. 21 1986 Almost integrable mappings. Zbl 0804.58045 Boukraa, S.; Maillard, J.-M.; Rollet, G. 18 1994 Ising \(n\)-fold integrals as diagonals of rational functions and integrality of series expansions. Zbl 1267.82021 Bostan, A.; Boukraa, S.; Christol, G.; Hassani, S.; Maillard, J.-M. 18 2013 Topological entropy and Arnold complexity for two-dimensional mappings. Zbl 0936.37005 Abarenkova, N.; Anglès d’Auriac, J.-Ch.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 16 1999 On the complexity of some birational transformations. Zbl 1086.14504 Anglès d’Auriac, J.-Ch.; Maillard, J.-M.; Viallet, C. M. 15 2006 Growth-complexity spectrum of some discrete dynamical systems. Zbl 0940.37017 Abarenkova, N.; Anglès d’Auriac, J.-Ch.; Boukraa, S.; Maillard, J.-M. 14 1999 Rational mappings, arborescent iterations, and the symmetries of integrability. Zbl 0990.37517 Bellon, M. P.; Maillard, J.-M.; Viallet, C.-M. 14 1991 Infinite discrete symmetry group for the Yang-Baxter equations and their higher dimensional generalizations. Zbl 0820.17039 Bellon, M.; Maillard, J.-M.; Viallet, C. 12 1993 The Ising model: from elliptic curves to modular forms and Calabi-Yau equations. Zbl 1208.82006 Bostan, A.; Boukraa, S.; Hassani, S.; van Hoeij, M.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 11 2011 A classification of four-state spin edge Potts models. Zbl 1097.82511 Anglés d’Auriac, J.-Ch.; Maillard, J.-M.; Viallet, C. M. 11 2002 Holonomy of the Ising model form factors. Zbl 1107.82007 Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Orrick, W. P.; Zenine, N. 10 2007 Determinantal identities on integrable mappings. Zbl 1264.82044 Boukraa, Salah; Maillard, Jean-Marie; Rollet, Geneviéve 10 1996 Let’s Baxterise. Zbl 0990.82007 Boukraa, S.; Maillard, J.-M. 9 2001 Globally nilpotent differential operators and the square Ising model. Zbl 1167.82005 Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 9 2009 The diagonal Ising susceptibility. Zbl 1118.82009 Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Zenine, N. 8 2007 Discrete symmetry groups of vertex models in statistical mechanics. Zbl 1080.82511 Boukraa, S.; Maillard, J.-M.; Rollet, G. 8 1995 High order Fuchsian equations for the square lattice Ising model: \(\widetilde{\chi}^{(5)}\). Zbl 1171.82005 Bostan, A.; Boukraa, S.; Guttmann, A. J.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Zenine, N. 8 2009 Diagonals of rational functions and selected differential Galois groups. Zbl 1334.82007 Bostan, A.; Boukraa, S.; Maillard, J.-M.; Weil, J.-A. 8 2015 Star exponentials of the elements of the inhomogeneous symplectic Lie algebra. Zbl 0516.58018 Bayen, F.; Maillard, J. M. 7 1982 Painlevé versus Fuchs. Zbl 1119.34069 Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Weil, J.-A.; Zenine, N. 7 2006 On the symmetries of integrability. Zbl 0797.17025 Bellon, M.; Maillard, J.-M.; Viallet, C. 7 1992 Noetherian mappings. Zbl 1078.37035 Boukraa, S.; Hassani, S.; Maillard, J.-M. 7 2003 Experimental mathematics on the magnetic susceptibility of the square lattice Ising model. Zbl 1152.82305 Boukraa, S.; Guttmann, A. J.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Nickel, B.; Zenine, N. 7 2008 Real Arnold complexity versus real topological entropy for birational transformations. Zbl 0983.37021 Abarenkova, N.; Anglès d’Auriac, J.-Ch.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 6 2000 Singularities of \(n\)-fold integrals of the Ising class and the theory of elliptic curves. Zbl 1128.34057 Boukraa, S.; Hassani, S.; Maillard, J.-M.; Zenine, N. 6 2007 Real topological entropy versus metric entropy for birational measure-preserving transformations. Zbl 0978.37036 Abarenkova, N.; Anglès D’Auriac, J.-Ch.; Boukraa, S.; Maillard, J.-M. 6 2000 Automorphisms of algebraic varieties and Yang-Baxter equations. Zbl 0609.14028 Maillard, Jean-Marie 6 1986 Ising model susceptibility: the Fuchsian differential equation for \(\chi^{(4)}\) and its factorization properties. Zbl 1086.82520 Zenine, N.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 6 2005 Representation theory of twisted group double. Zbl 1329.81237 Altschuler, D.; Coste, A.; Maillard, J.-M. 6 2004 Modular forms, Schwarzian conditions, and symmetries of differential equations in physics. Zbl 1381.33011 Abdelaziz, Y.; Maillard, J.-M. 6 2017 Lattice Green functions: the \(d\)-dimensional face-centered cubic lattice, \(d = 8, 9, 10, 11, 12\). Zbl 1357.35096 Hassani, S.; Koutschan, Ch.; Maillard, J.-M.; Zenine, N. 6 2016 Diagonals of rational functions, pullbacked \(\mathbf{_2F_1}\) hypergeometric functions and modular forms. Zbl 1408.33008 Abdelaziz, Y.; Boukraa, S.; Koutschan, C.; Maillard, J.-M. 6 2018 Differential algebra on lattice Green functions and Calabi-Yau operators. Zbl 1288.82007 Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A. 6 2014 The importance of the Ising model. Zbl 1251.82021 McCoy, Barry M.; Maillard, Jean-Marie 5 2012 The saga of the Ising susceptibility. Zbl 1221.82033 McCoy, Barry M.; Assis, Michael; Boukraa, Salah; Hassani, Saoud; Maillard, Jean-Marie; Orrick, William P.; Zenine, Nadjah 5 2011 Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi-Yau equations. Zbl 1273.82008 Assis, M.; Boukraa, S.; Hassani, S.; van Hoeij, M.; Maillard, J.-M.; McCoy, B. M. 5 2012 High-order Fuchsian equations for the square lattice Ising model: \(\chi ^{(6)}\). Zbl 1194.82014 Boukraa, S.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Zenine, N. 5 2010 The Fuchsian differential equation of the square lattice Ising model \(\chi^{(3)}\) susceptibility. Zbl 1073.82014 Zenine, N.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 5 2004 The anisotropic Ising correlations as elliptic integrals: duality and differential equations. Zbl 1353.82015 McCoy, B. M.; Maillard, J-M 5 2016 Explicit star products on orbits of nilpotent Lie groups with square integrable representations. Zbl 1144.81385 Maillard, Jean-Marie 5 2007 Stieltjes moment sequences for pattern-avoiding permutations. Zbl 1473.33011 Bostan, Alin; Price, Andrew Elvey; Guttmann, Anthony John; Maillard, Jean-Marie 5 2020 Modular invariance in lattice statistical mechanics. Zbl 1277.82016 Maillard, J.-M.; Boukraa, S. 5 2001 Rigorous bounds and the replica method for products of random matrices. Zbl 0665.15014 Bouchaud, J. P.; Georges, A.; Hansel, D.; Le Doussal, P.; Maillard, J. M. 4 1986 Functional relations in lattice statistical mechanics, enumerative combinatorics and discrete dynamical systems. Zbl 1055.82505 Anglès d’Auriac, J.-Ch.; Boukraa, S.; Maillard, J.-M. 4 1999 Fuchs versus Painlevé. Zbl 1123.33019 Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Weil, J.-A.; Zenine, N. 4 2007 Automata and the susceptibility of the square lattice Ising model modulo powers of primes. Zbl 1334.82009 Guttmann, A. J.; Maillard, J.-M. 4 2015 Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups. Zbl 1460.12002 Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A. 4 2015 Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics. Zbl 1342.82021 Boukraa, S.; Maillard, J.-M. 4 2016 Degree complexity of a family of birational maps. Zbl 1153.37387 Bedford, Eric; Kim, Kyounghee; Truong, Tuyen Trung; Abarenkova, Nina; Maillard, Jean-Marie 4 2008 Renormalization, isogenies, and rational symmetries of differential equations. Zbl 1201.81089 Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N.; Abarenkova, N. 4 2010 On Christol’s conjecture. Zbl 1514.33006 Abdelaziz, Y.; Koutschan, C.; Maillard, J-M 4 2020 Classical limit for a 3D lattice spin model. Zbl 1053.82502 Korepanov, I. G.; Maillard, J.-M.; Sergeev, S. M. 3 1997 Directed compact lattice animals, restricted partitions of an integer, and the infinite-state Potts model. Zbl 0995.82507 Wu, F. Y.; Rollet, G.; Huang, H. Y.; Maillard, J. M.; Hu, Chin-Kun; Chen, Chi-Ning 3 1996 Birational mappings and matrix subalgebra from the chiral Potts model. Zbl 1189.82030 Preissmann, E.; D’Auriac, J.-Ch. Anglès; Maillard, J.-M. 3 2009 Star exponentials for any ordering of the elements of the inhomogeneous symplectic Lie algebra. Zbl 1070.81077 Maillard, Jean-Marie 3 2004 Square lattice Ising model susceptibility: series expansion method and differential equation for \(\chi^{(3)}\). Zbl 1113.82020 Zenine, N.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 3 2005 Lattice Green functions: the seven-dimensional face-centred cubic lattice. Zbl 1311.34057 Zenine, N.; Hassani, S.; Maillard, J. M. 3 2015 Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? Zbl 1360.82023 Guttmann, A. J.; Jensen, I.; Maillard, J-M.; Pantone, J. 3 2016 The perimeter generating functions of three-choice, imperfect, and one-punctured staircase polygons. Zbl 1365.05014 Assis, M.; Hoeij, M.van; Maillard, J-M 3 2016 The Ising correlation \(C(M, N)\) for \(\nu = -k\). Zbl 1519.82009 Boukraa, S.; Maillard, J.-M.; McCoy, B. M. 3 2020 Landau singularities and singularities of holonomic integrals of the Ising class. Zbl 1137.81017 Boukraa, S.; Hassani, S.; Maillard, J.-M.; Zenine, N. 2 2007 Inversion relations and symmetry groups for Potts models on the triangular lattice. Zbl 0827.60091 Maillard, J. M.; Rollet, G.; Wu, F. Y. 2 1994 Integrable mappings from matrix transformations and their singularity properties. Zbl 0847.58067 Ramani, A.; Grammaticos, B.; Maillard, J.-M.; Rollet, G. 2 1994 Hyperbolic Coxeter groups for triangular Potts models. Zbl 0848.20038 Maillard, J.-M.; Rollet, G. 2 1994 Square lattice Ising model susceptibility: connection matrices and singular behaviour of \(\chi^{(3)}\) and \(\chi^{(4)}\). Zbl 1087.82006 Zenine, N.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 2 2005 Fa-Yueh Wu’s contributions in physics. Zbl 1037.82001 Maillard, J.-M. 2 2003 Symmetry, complexity and multicritical point of the two-dimensional spin glass. Zbl 1049.82072 Maillard, Jean-Marie; Nemoto, Koji; Nishimori, Hidetoshi 2 2003 Schwarzian conditions for linear differential operators with selected differential Galois groups. Zbl 1382.34017 Abdelaziz, Y.; Maillard, J.-M. 2 2017 Scaling functions in the square Ising model. Zbl 1323.82008 Hassani, S.; Maillard, J.-M. 2 2015 Heun functions and diagonals of rational functions. Zbl 1514.33010 Abdelaziz, Y.; Boukraa, S.; Koutschan, C.; Maillard, J.-M. 2 2020 From holonomy of the Ising model form factors to \(n\)-fold integrals and the theory of elliptic curves. Zbl 1137.34040 Boukraa, Salah; Hassani, Saoud; Maillard, Jean-Marie; Zenine, Nadjah 1 2007 Square lattice Ising model \(\tilde {\chi }^{(5)}\) ODE in exact arithmetic. Zbl 1196.82075 Nickel, B.; Jensen, I.; Boukraa, S.; Guttmann, A. J.; Hassani, S.; Maillard, J.-M.; Zenine, N. 1 2010 Post-critical set and non-existence of preserved meromorphic 2-forms. Zbl 1087.37040 Bouamra, M.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 1 2005 Sur l’intégrabilite de certaines représentations de l’algèbre de Lie 0(\(p,q\)). Zbl 0273.22014 Maillard, Jean-Marie 1 1974 Sur certaines représentations non intégrables de l’algèbre de Lie su(2) et leur contenu indecomposable. Zbl 0298.17006 Maillard, Jean-Marie; Sternheimer, Daniel 1 1975 Structure des convoluteurs à gauche de \({\mathcal S}({\mathbb{R}}^{2l})\) et des symboles admissibles de la transformation de Weyl. (Structure of the left convolution operators of \({\mathcal S}({\mathbb{R}}^{2l})\) and of the admissible symbols of the Weyl transformation). Zbl 0583.46030 Maillard, Jean-Marie 1 1985 Dynamical systems from quantum integrability. Zbl 0804.58044 Bellon, M. P.; Maillard, J. M.; Viallet, C. M. 1 1993 Analyticity of the Ising susceptibility: an interpretation. Zbl 1376.82011 Assis, M.; Jacobsen, J. L.; Jensen, I.; Maillard, J.-M.; McCoy, B. M. 1 2017 Integrability versus non-integrability: hard hexagons and hard squares compared. Zbl 1316.82008 Assis, M.; Jacobsen, J. L.; Jensen, I.; Maillard, J.-M.; McCoy, B. M. 1 2014 The hard hexagon partition function for complex fugacity. Zbl 1284.82014 Assis, M.; Jacobsen, J. L.; Jensen, I.; Maillard, J.-M.; McCoy, B. M. 1 2013 Factorization of Ising correlations \(C(M, N)\) for \(\nu = - k\) and \(M + N\) odd, \(M \leqslant N\), \(T < T_{\mathrm{c}}\) and their lambda extensions. Zbl 1525.82006 Boukraa, S.; Cosgrove, C.; Maillard, J.-M.; McCoy, B. M. 1 2022 Factorization of Ising correlations \(C(M, N)\) for \(\nu = - k\) and \(M + N\) odd, \(M \leqslant N\), \(T < T_{\mathrm{c}}\) and their lambda extensions. Zbl 1525.82006 Boukraa, S.; Cosgrove, C.; Maillard, J.-M.; McCoy, B. M. 1 2022 Stieltjes moment sequences for pattern-avoiding permutations. Zbl 1473.33011 Bostan, Alin; Price, Andrew Elvey; Guttmann, Anthony John; Maillard, Jean-Marie 5 2020 On Christol’s conjecture. Zbl 1514.33006 Abdelaziz, Y.; Koutschan, C.; Maillard, J-M 4 2020 The Ising correlation \(C(M, N)\) for \(\nu = -k\). Zbl 1519.82009 Boukraa, S.; Maillard, J.-M.; McCoy, B. M. 3 2020 Heun functions and diagonals of rational functions. Zbl 1514.33010 Abdelaziz, Y.; Boukraa, S.; Koutschan, C.; Maillard, J.-M. 2 2020 Diagonals of rational functions, pullbacked \(\mathbf{_2F_1}\) hypergeometric functions and modular forms. Zbl 1408.33008 Abdelaziz, Y.; Boukraa, S.; Koutschan, C.; Maillard, J.-M. 6 2018 Modular forms, Schwarzian conditions, and symmetries of differential equations in physics. Zbl 1381.33011 Abdelaziz, Y.; Maillard, J.-M. 6 2017 Schwarzian conditions for linear differential operators with selected differential Galois groups. Zbl 1382.34017 Abdelaziz, Y.; Maillard, J.-M. 2 2017 Analyticity of the Ising susceptibility: an interpretation. Zbl 1376.82011 Assis, M.; Jacobsen, J. L.; Jensen, I.; Maillard, J.-M.; McCoy, B. M. 1 2017 Lattice Green functions: the \(d\)-dimensional face-centered cubic lattice, \(d = 8, 9, 10, 11, 12\). Zbl 1357.35096 Hassani, S.; Koutschan, Ch.; Maillard, J.-M.; Zenine, N. 6 2016 The anisotropic Ising correlations as elliptic integrals: duality and differential equations. Zbl 1353.82015 McCoy, B. M.; Maillard, J-M 5 2016 Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics. Zbl 1342.82021 Boukraa, S.; Maillard, J.-M. 4 2016 Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? Zbl 1360.82023 Guttmann, A. J.; Jensen, I.; Maillard, J-M.; Pantone, J. 3 2016 The perimeter generating functions of three-choice, imperfect, and one-punctured staircase polygons. Zbl 1365.05014 Assis, M.; Hoeij, M.van; Maillard, J-M 3 2016 Diagonals of rational functions and selected differential Galois groups. Zbl 1334.82007 Bostan, A.; Boukraa, S.; Maillard, J.-M.; Weil, J.-A. 8 2015 Automata and the susceptibility of the square lattice Ising model modulo powers of primes. Zbl 1334.82009 Guttmann, A. J.; Maillard, J.-M. 4 2015 Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups. Zbl 1460.12002 Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A. 4 2015 Lattice Green functions: the seven-dimensional face-centred cubic lattice. Zbl 1311.34057 Zenine, N.; Hassani, S.; Maillard, J. M. 3 2015 Scaling functions in the square Ising model. Zbl 1323.82008 Hassani, S.; Maillard, J.-M. 2 2015 Differential algebra on lattice Green functions and Calabi-Yau operators. Zbl 1288.82007 Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A. 6 2014 Integrability versus non-integrability: hard hexagons and hard squares compared. Zbl 1316.82008 Assis, M.; Jacobsen, J. L.; Jensen, I.; Maillard, J.-M.; McCoy, B. M. 1 2014 Ising \(n\)-fold integrals as diagonals of rational functions and integrality of series expansions. Zbl 1267.82021 Bostan, A.; Boukraa, S.; Christol, G.; Hassani, S.; Maillard, J.-M. 18 2013 The hard hexagon partition function for complex fugacity. Zbl 1284.82014 Assis, M.; Jacobsen, J. L.; Jensen, I.; Maillard, J.-M.; McCoy, B. M. 1 2013 The importance of the Ising model. Zbl 1251.82021 McCoy, Barry M.; Maillard, Jean-Marie 5 2012 Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi-Yau equations. Zbl 1273.82008 Assis, M.; Boukraa, S.; Hassani, S.; van Hoeij, M.; Maillard, J.-M.; McCoy, B. M. 5 2012 The Ising model: from elliptic curves to modular forms and Calabi-Yau equations. Zbl 1208.82006 Bostan, A.; Boukraa, S.; Hassani, S.; van Hoeij, M.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 11 2011 The saga of the Ising susceptibility. Zbl 1221.82033 McCoy, Barry M.; Assis, Michael; Boukraa, Salah; Hassani, Saoud; Maillard, Jean-Marie; Orrick, William P.; Zenine, Nadjah 5 2011 High-order Fuchsian equations for the square lattice Ising model: \(\chi ^{(6)}\). Zbl 1194.82014 Boukraa, S.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Zenine, N. 5 2010 Renormalization, isogenies, and rational symmetries of differential equations. Zbl 1201.81089 Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N.; Abarenkova, N. 4 2010 Square lattice Ising model \(\tilde {\chi }^{(5)}\) ODE in exact arithmetic. Zbl 1196.82075 Nickel, B.; Jensen, I.; Boukraa, S.; Guttmann, A. J.; Hassani, S.; Maillard, J.-M.; Zenine, N. 1 2010 Globally nilpotent differential operators and the square Ising model. Zbl 1167.82005 Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 9 2009 High order Fuchsian equations for the square lattice Ising model: \(\widetilde{\chi}^{(5)}\). Zbl 1171.82005 Bostan, A.; Boukraa, S.; Guttmann, A. J.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Zenine, N. 8 2009 Birational mappings and matrix subalgebra from the chiral Potts model. Zbl 1189.82030 Preissmann, E.; D’Auriac, J.-Ch. Anglès; Maillard, J.-M. 3 2009 Experimental mathematics on the magnetic susceptibility of the square lattice Ising model. Zbl 1152.82305 Boukraa, S.; Guttmann, A. J.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Nickel, B.; Zenine, N. 7 2008 Degree complexity of a family of birational maps. Zbl 1153.37387 Bedford, Eric; Kim, Kyounghee; Truong, Tuyen Trung; Abarenkova, Nina; Maillard, Jean-Marie 4 2008 Holonomy of the Ising model form factors. Zbl 1107.82007 Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Orrick, W. P.; Zenine, N. 10 2007 The diagonal Ising susceptibility. Zbl 1118.82009 Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Zenine, N. 8 2007 Singularities of \(n\)-fold integrals of the Ising class and the theory of elliptic curves. Zbl 1128.34057 Boukraa, S.; Hassani, S.; Maillard, J.-M.; Zenine, N. 6 2007 Explicit star products on orbits of nilpotent Lie groups with square integrable representations. Zbl 1144.81385 Maillard, Jean-Marie 5 2007 Fuchs versus Painlevé. Zbl 1123.33019 Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Weil, J.-A.; Zenine, N. 4 2007 Landau singularities and singularities of holonomic integrals of the Ising class. Zbl 1137.81017 Boukraa, S.; Hassani, S.; Maillard, J.-M.; Zenine, N. 2 2007 From holonomy of the Ising model form factors to \(n\)-fold integrals and the theory of elliptic curves. Zbl 1137.34040 Boukraa, Salah; Hassani, Saoud; Maillard, Jean-Marie; Zenine, Nadjah 1 2007 On the complexity of some birational transformations. Zbl 1086.14504 Anglès d’Auriac, J.-Ch.; Maillard, J.-M.; Viallet, C. M. 15 2006 Painlevé versus Fuchs. Zbl 1119.34069 Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Weil, J.-A.; Zenine, N. 7 2006 Ising model susceptibility: the Fuchsian differential equation for \(\chi^{(4)}\) and its factorization properties. Zbl 1086.82520 Zenine, N.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 6 2005 Square lattice Ising model susceptibility: series expansion method and differential equation for \(\chi^{(3)}\). Zbl 1113.82020 Zenine, N.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 3 2005 Square lattice Ising model susceptibility: connection matrices and singular behaviour of \(\chi^{(3)}\) and \(\chi^{(4)}\). Zbl 1087.82006 Zenine, N.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 2 2005 Post-critical set and non-existence of preserved meromorphic 2-forms. Zbl 1087.37040 Bouamra, M.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 1 2005 Representation theory of twisted group double. Zbl 1329.81237 Altschuler, D.; Coste, A.; Maillard, J.-M. 6 2004 The Fuchsian differential equation of the square lattice Ising model \(\chi^{(3)}\) susceptibility. Zbl 1073.82014 Zenine, N.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 5 2004 Star exponentials for any ordering of the elements of the inhomogeneous symplectic Lie algebra. Zbl 1070.81077 Maillard, Jean-Marie 3 2004 Noetherian mappings. Zbl 1078.37035 Boukraa, S.; Hassani, S.; Maillard, J.-M. 7 2003 Fa-Yueh Wu’s contributions in physics. Zbl 1037.82001 Maillard, J.-M. 2 2003 Symmetry, complexity and multicritical point of the two-dimensional spin glass. Zbl 1049.82072 Maillard, Jean-Marie; Nemoto, Koji; Nishimori, Hidetoshi 2 2003 A classification of four-state spin edge Potts models. Zbl 1097.82511 Anglés d’Auriac, J.-Ch.; Maillard, J.-M.; Viallet, C. M. 11 2002 Let’s Baxterise. Zbl 0990.82007 Boukraa, S.; Maillard, J.-M. 9 2001 Modular invariance in lattice statistical mechanics. Zbl 1277.82016 Maillard, J.-M.; Boukraa, S. 5 2001 Real Arnold complexity versus real topological entropy for birational transformations. Zbl 0983.37021 Abarenkova, N.; Anglès d’Auriac, J.-Ch.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 6 2000 Real topological entropy versus metric entropy for birational measure-preserving transformations. Zbl 0978.37036 Abarenkova, N.; Anglès D’Auriac, J.-Ch.; Boukraa, S.; Maillard, J.-M. 6 2000 Topological entropy and Arnold complexity for two-dimensional mappings. Zbl 0936.37005 Abarenkova, N.; Anglès d’Auriac, J.-Ch.; Boukraa, S.; Hassani, S.; Maillard, J.-M. 16 1999 Growth-complexity spectrum of some discrete dynamical systems. Zbl 0940.37017 Abarenkova, N.; Anglès d’Auriac, J.-Ch.; Boukraa, S.; Maillard, J.-M. 14 1999 Functional relations in lattice statistical mechanics, enumerative combinatorics and discrete dynamical systems. Zbl 1055.82505 Anglès d’Auriac, J.-Ch.; Boukraa, S.; Maillard, J.-M. 4 1999 Classical limit for a 3D lattice spin model. Zbl 1053.82502 Korepanov, I. G.; Maillard, J.-M.; Sergeev, S. M. 3 1997 Determinantal identities on integrable mappings. Zbl 1264.82044 Boukraa, Salah; Maillard, Jean-Marie; Rollet, Geneviéve 10 1996 Directed compact lattice animals, restricted partitions of an integer, and the infinite-state Potts model. Zbl 0995.82507 Wu, F. Y.; Rollet, G.; Huang, H. Y.; Maillard, J. M.; Hu, Chin-Kun; Chen, Chi-Ning 3 1996 Discrete symmetry groups of vertex models in statistical mechanics. Zbl 1080.82511 Boukraa, S.; Maillard, J.-M.; Rollet, G. 8 1995 Almost integrable mappings. Zbl 0804.58045 Boukraa, S.; Maillard, J.-M.; Rollet, G. 18 1994 Inversion relations and symmetry groups for Potts models on the triangular lattice. Zbl 0827.60091 Maillard, J. M.; Rollet, G.; Wu, F. Y. 2 1994 Integrable mappings from matrix transformations and their singularity properties. Zbl 0847.58067 Ramani, A.; Grammaticos, B.; Maillard, J.-M.; Rollet, G. 2 1994 Hyperbolic Coxeter groups for triangular Potts models. Zbl 0848.20038 Maillard, J.-M.; Rollet, G. 2 1994 Infinite discrete symmetry group for the Yang-Baxter equations and their higher dimensional generalizations. Zbl 0820.17039 Bellon, M.; Maillard, J.-M.; Viallet, C. 12 1993 Dynamical systems from quantum integrability. Zbl 0804.58044 Bellon, M. P.; Maillard, J. M.; Viallet, C. M. 1 1993 On the symmetries of integrability. Zbl 0797.17025 Bellon, M.; Maillard, J.-M.; Viallet, C. 7 1992 Rational mappings, arborescent iterations, and the symmetries of integrability. Zbl 0990.37517 Bellon, M. P.; Maillard, J.-M.; Viallet, C.-M. 14 1991 On the twisted convolution product and the Weyl transformation of tempered distributions. Zbl 0615.43004 Maillard, J. M. 21 1986 Automorphisms of algebraic varieties and Yang-Baxter equations. Zbl 0609.14028 Maillard, Jean-Marie 6 1986 Rigorous bounds and the replica method for products of random matrices. Zbl 0665.15014 Bouchaud, J. P.; Georges, A.; Hansel, D.; Le Doussal, P.; Maillard, J. M. 4 1986 Structure des convoluteurs à gauche de \({\mathcal S}({\mathbb{R}}^{2l})\) et des symboles admissibles de la transformation de Weyl. (Structure of the left convolution operators of \({\mathcal S}({\mathbb{R}}^{2l})\) and of the admissible symbols of the Weyl transformation). Zbl 0583.46030 Maillard, Jean-Marie 1 1985 Star exponentials of the elements of the inhomogeneous symplectic Lie algebra. Zbl 0516.58018 Bayen, F.; Maillard, J. M. 7 1982 Sur certaines représentations non intégrables de l’algèbre de Lie su(2) et leur contenu indecomposable. Zbl 0298.17006 Maillard, Jean-Marie; Sternheimer, Daniel 1 1975 Sur l’intégrabilite de certaines représentations de l’algèbre de Lie 0(\(p,q\)). Zbl 0273.22014 Maillard, Jean-Marie 1 1974 all cited Publications top 5 cited Publications all top 5 Cited by 224 Authors 25 Maillard, Jean-Marie 12 Boukraa, Salah 8 Solov’ev, Mikhaĭl Aleksandrovich 6 Bostan, Alin 6 Guttmann, Anthony John 6 Viallet, Claude Michel 5 Abarenkova, Nina 5 Abdelaziz, Y. 5 Anglès d’Auriac, Jean-Christian 5 Bedford, Eric 5 Koutschan, Christoph 5 Truong Trung Tuyen 4 Beltiţă, Daniel 4 Beltiţă, Ingrid 4 Forrester, Peter J. 4 Jensen, Iwan 4 McCoy, Barry M. 4 Weil, Jacques-Arthur 3 Crampé, Nicolas 3 Dang, Nguyen-Bac 3 de Gosson, Maurice Alexis 3 Dias, Nuno Costa 3 Hassani, Saoud 3 Hone, Andrew N. W. 3 Kim, Kyounghee 3 Lin, Jan-Li 3 Perk, Jacques H. H. 3 Prata, João Nuno 2 Assis, Michael 2 Barba, J. C. 2 Bazhanov, Vladimir V. 2 Camia, Federico 2 Chen, Chi-Ning 2 Cima, Anna 2 Dreyfus, Thomas 2 Favre, Charles 2 Finkel, Federico 2 Gerstenhaber, Murray 2 González-López, Artemio 2 Grammaticos, Basil 2 Gubbiotti, Giorgio 2 Hu, Chinkun 2 Joshi, Nalini 2 Kassotakis, Pavlos G. 2 Korepanov, Igor Germanovich 2 Luef, Franz 2 Maeda, Yoshiaki 2 Mangazeev, Vladimir V. 2 Poulain D’Andecy, Loïc 2 Quispel, Gilles Reinout Willem 2 Ragoucy, Eric 2 Ramani, Alfred 2 Rodríguez, Miguel Angel 2 Salvy, Bruno 2 Sergeev, Sergeĭ Mikhaĭlovich 2 Shrock, Robert E. 2 Tracy, Craig Arnold 2 van der Kamp, Peter H. 2 van Hoeij, Mark 2 Vanicat, Matthieu 2 Widom, Harold 2 Witte, Nicholas S. 2 Wu, Fa Yueh 2 Yurkevich, Sergey V. 2 Zafar, Sundus 1 Ablinger, Jakob 1 Acosta Humánez, Primitivo Belén 1 Antenucci, Fabrizio 1 Arnold, John M. 1 Asselah, Amine 1 Au-Yang, Helen 1 Barkatou, Moulay A. 1 Batchelor, Murray T. 1 Bayraktar, Turgay 1 Beiser, Svea 1 Bellon, Marc P. 1 Benoumhani, Moussa 1 Bertrand, Jacqueline 1 Bieliavsky, Pierre 1 Billiot, Jean-Michel 1 Blitvić, Natasha 1 Blümlein, Johannes 1 Bonderson, Parsa 1 Bonneau, Philippe 1 Bonsignori, Riccarda 1 Bousquet-Mélou, Mireille 1 Boutillier, Cédric 1 Brezhnev, Yurii V. 1 Celledoni, Elena 1 Chang, Shu-Chiuan 1 Chen, Haimiao 1 Cheng, Miranda C. N. 1 Clisby, Nathan 1 Conway, Andrew R. 1 Cooper, Joshua N. 1 Corset, Franck 1 Crisanti, Andrea 1 Da Luz, Marcos G. E. 1 Dancer, Karen A. 1 De Freitas, Abilio ...and 124 more Authors all top 5 Cited in 75 Serials 22 Journal of Physics A: Mathematical and Theoretical 12 Journal of Statistical Physics 11 Journal of Mathematical Physics 8 Communications in Mathematical Physics 5 Theoretical and Mathematical Physics 5 Journal of Geometry and Physics 4 Nuclear Physics. B 4 Physica D 4 The Journal of Geometric Analysis 3 Ergodic Theory and Dynamical Systems 3 Journal of Statistical Mechanics: Theory and Experiment 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Letters in Mathematical Physics 2 Physics Letters. 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Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Journal of Difference Equations and Applications 1 The Ramanujan Journal 1 Conformal Geometry and Dynamics 1 Annals of Combinatorics 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Qualitative Theory of Dynamical Systems 1 Integers 1 The ANZIAM Journal 1 Algebraic & Geometric Topology 1 Foundations of Computational Mathematics 1 Computational Methods and Function Theory 1 International Journal of Geometric Methods in Modern Physics 1 Algebra & Number Theory 1 Advances in Mathematical Physics 1 Journal of Computational Dynamics 1 European Journal of Mathematics 1 Winter Braids Lecture Notes 1 Annales Henri Lebesgue all top 5 Cited in 41 Fields 50 Statistical mechanics, structure of matter (82-XX) 43 Quantum theory (81-XX) 42 Dynamical systems and ergodic theory (37-XX) 23 Special functions (33-XX) 22 Algebraic geometry (14-XX) 16 Differential geometry (53-XX) 15 Number theory (11-XX) 15 Difference and functional equations (39-XX) 14 Ordinary differential equations (34-XX) 12 Associative rings and algebras (16-XX) 11 Combinatorics (05-XX) 11 Functional analysis (46-XX) 10 Nonassociative rings and algebras (17-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Partial differential equations (35-XX) 8 Operator theory (47-XX) 7 Topological groups, Lie groups (22-XX) 7 Abstract harmonic analysis (43-XX) 6 Group theory and generalizations (20-XX) 6 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 6 Computer science (68-XX) 4 Category theory; homological algebra (18-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year