Edit Profile (opens in new tab) Hassani, Saoud Co-Author Distance Author ID: hassani.saoud Published as: Hassani, S.; Hassani, Saoud Documents Indexed: 37 Publications since 1994, including 2 Additional arXiv Preprints Co-Authors: 17 Co-Authors with 36 Joint Publications 335 Co-Co-Authors all top 5 Co-Authors 0 single-authored 36 Maillard, Jean-Marie 31 Boukraa, Salah 23 Zenine, Nadjah 7 Weil, Jacques-Arthur 6 Bostan, Alin 6 McCoy, Barry M. 4 Jensen, Iwan 3 Abarenkova, Nina 3 Guttmann, Anthony John 2 Anglès d’Auriac, Jean-Christian 2 Assis, Michael 2 Bouamra, M. 2 Christol, Gilles 2 Nickel, B. G. 2 Orrick, William P. 1 Hoeij, M.van 1 Koutschan, Christoph 1 Lindström, Ulf 1 von Unge, Rikard all top 5 Serials 21 Journal of Physics A: Mathematical and Theoretical 7 Journal of Physics A: Mathematical and General 1 Classical and Quantum Gravity 1 Physics Letters. A 1 Physica D 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Advances in Mathematical Physics all top 5 Fields 27 Ordinary differential equations (34-XX) 27 Statistical mechanics, structure of matter (82-XX) 14 Operator theory (47-XX) 11 Quantum theory (81-XX) 10 Several complex variables and analytic spaces (32-XX) 8 Algebraic geometry (14-XX) 6 Special functions (33-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Field theory and polynomials (12-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 178 times in 63 Documents Cited by ▼ Year ▼ 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 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 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 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 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 Painlevé versus Fuchs. Zbl 1119.34069 Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Weil, J.-A.; Zenine, N. 7 2006 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 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 Classically equivalent actions for tensionless \(p\)-branes. Zbl 0796.53091 Hassani, S.; Lindström, Ulf; von Unge, R. 6 1994 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 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 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 Fuchs versus Painlevé. Zbl 1123.33019 Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Weil, J.-A.; Zenine, N. 4 2007 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 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 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 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 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 Scaling functions in the square Ising model. Zbl 1323.82008 Hassani, S.; Maillard, J.-M. 2 2015 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 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 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 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 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 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 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 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 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 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 Noetherian mappings. Zbl 1078.37035 Boukraa, S.; Hassani, S.; Maillard, J.-M. 7 2003 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 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 Classically equivalent actions for tensionless \(p\)-branes. Zbl 0796.53091 Hassani, S.; Lindström, Ulf; von Unge, R. 6 1994 all cited Publications top 5 cited Publications all top 5 Cited by 81 Authors 17 Maillard, Jean-Marie 11 Boukraa, Salah 6 Bostan, Alin 5 Abarenkova, Nina 5 Abdelaziz, Y. 5 Guttmann, Anthony John 4 Anglès d’Auriac, Jean-Christian 4 Bedford, Eric 4 Koutschan, Christoph 4 Weil, Jacques-Arthur 3 Forrester, Peter J. 3 Hassani, Saoud 3 McCoy, Barry M. 3 Perk, Jacques H. H. 3 Truong Trung Tuyen 2 Dang, Nguyen-Bac 2 Dreyfus, Thomas 2 Favre, Charles 2 Jensen, Iwan 2 Kim, Kyounghee 2 Lin, Jan-Li 2 Salvy, Bruno 2 Tracy, Craig Arnold 2 van Hoeij, Mark 2 Widom, Harold 2 Witte, Nicholas S. 2 Yurkevich, Sergey V. 1 Ablinger, Jakob 1 Acosta Humánez, Primitivo Belén 1 Arnold, John M. 1 Au-Yang, Helen 1 Barkatou, Moulay A. 1 Bayraktar, Turgay 1 Benoumhani, Moussa 1 Blümlein, Johannes 1 Bousquet-Mélou, Mireille 1 Boutillier, Cédric 1 Brezhnev, Yurii V. 1 Da Luz, Marcos G. E. 1 De Freitas, Abilio 1 de Hon, Bastiaan P. 1 de Tilière, Béatrice 1 Diehl, H. W. 1 Diller, Jeffrey 1 Dujardin, Romain 1 Dunne, Gerald V. 1 Fasondini, Marco 1 Floris, Sander J. 1 Fornberg, Bengt 1 Gorodetsky, Ofir 1 Halburd, Rod 1 Hone, Andrew N. W. 1 Imamoglu, Erdal 1 Korhonen, Risto 1 Kouloukas, Theodoros E. 1 Kunwar, Vijay Jung 1 Lairez, Pierre 1 Mangazeev, Vladimir V. 1 Melczer, Stephen 1 Mezzarobba, Marc 1 Nickel, B. G. 1 Pantone, Jay 1 Portillo, M. A. G. 1 Potekhina, Elena Aleksandrovna 1 Price, Andrew Elvey 1 Quispel, Gilles Reinout Willem 1 Raab, Clemens G. 1 Radu, Cristian-Silviu 1 Rains, Eric M. 1 Raschel, Kilian 1 Rutkevich, Sergei B. 1 Sánchez-Cauce, Raquel 1 Schneider, Carsten 1 Shpot, Mykola A. 1 Shrock, Robert E. 1 Silverman, Joseph Hillel 1 Straub, Armin 1 Trinh, Allan K. 1 Weideman, J. André C. 1 Zenine, Nadjah 1 Zouareg, Yahia all top 5 Cited in 35 Serials 15 Journal of Physics A: Mathematical and Theoretical 3 Journal of Statistical Physics 3 Physica D 3 The Journal of Geometric Analysis 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Nuclear Physics. B 2 Ergodic Theory and Dynamical Systems 2 Journal of Symbolic Computation 1 Journal of Computational Physics 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of Number Theory 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Studies in Applied Mathematics 1 Probability Theory and Related Fields 1 Discrete Mathematics and Applications 1 Journal of Physics A: Mathematical and General 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 The Electronic Journal of Combinatorics 1 The Ramanujan Journal 1 Mathematical Physics, Analysis and Geometry 1 Conformal Geometry and Dynamics 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Foundations of Computational Mathematics 1 Computational Methods and Function Theory 1 Journal of Statistical Mechanics: Theory and Experiment 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Algebra & Number Theory 1 Advances in Mathematical Physics 1 Annales Henri Lebesgue all top 5 Cited in 24 Fields 21 Statistical mechanics, structure of matter (82-XX) 18 Dynamical systems and ergodic theory (37-XX) 14 Special functions (33-XX) 13 Ordinary differential equations (34-XX) 9 Algebraic geometry (14-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Number theory (11-XX) 6 Combinatorics (05-XX) 5 Numerical analysis (65-XX) 5 Computer science (68-XX) 5 Quantum theory (81-XX) 4 Difference and functional equations (39-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) Citations by Year