Edit Profile Harnad, John Compute Distance To: Compute Author ID: harnad.john Published as: Harnad, J; Harnad, J.; Harnad, J. P.; Harnad, John Homepage: http://www.crm.umontreal.ca/~harnad/ External Links: MGP · Wikidata · ResearchGate · GND Documents Indexed: 119 Publications since 1978, including 10 Books all top 5 Co-Authors 20 single-authored 19 Winternitz, Pavel 16 Shnider, Steven 11 Hurtubise, Jacques C. 9 Orlov, Aleksandr Yu. 8 Adams, Malcolm R. 8 Eynard, Bertrand 7 Bertola, Marco 4 Anderson, Robert Leonard 4 Balogh, Ferenc N. 4 Jacques, M. W. S. 4 Saint-Aubin, Yvan 4 Vinet, Luc 4 Yermolayeva, Oksana 3 Chapuy, Guillaume 3 Grundland, Alfred Michel 3 Kupershmidt, Boris A. 3 Wisse, M.-A. 2 Gagnon, Laurence S. 2 Guay-Paquet, Mathieu 2 Its, Alexander Rudolfovich 2 McKay, John 2 Runov, Boris A. 2 Tafel, Jacek 2 Zhedanov, Alexei S. 1 Aleksandrov, A. I. 1 Aleksandrov, A. V. 1 Alexandrov, A. D. 1 Beckers, J. V. L. 1 Beckers, Johannes 1 David, Damien 1 Enolskiĭ, Viktor Zelikovich 1 Fehér, László Gy. 1 Fonseca, Tiago M. 1 Jasselette, P. 1 Kasman, Alex 1 Lam, Clement S. 1 Lee, Eunghyun 1 Loutsenko, Igor M. 1 Marsden, Jerrold Eldon 1 Marshall, Ian 1 Miller, Willard jun. 1 Ortmann, Janosch 1 Paré, J.-P. 1 Patera, Jiří 1 Perroud, Marcel 1 Pogosyan, George S. 1 Previato, Emma 1 Rodríguez, María J. G. 1 Routhier, M. 1 Sabidussi, Gert 1 Shapiro, Joel A. 1 Taylor, Cyrus Cooper 1 Tempesta, Piergiulio 1 Tracy, Craig Arnold 1 Widom, Harold all top 5 Serials 27 Journal of Mathematical Physics 17 Communications in Mathematical Physics 9 Letters in Mathematical Physics 6 CRM Proceedings & Lecture Notes 4 Theoretical and Mathematical Physics 3 Physica D 3 Journal of Physics A: Mathematical and General 2 Journal of Geometry and Physics 1 Russian Mathematical Surveys 1 IMRN. International Mathematics Research Notices 1 Annals of Physics 1 Kinam 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Nonlinear Mathematical Physics 1 Canadian Journal of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Lecture Notes in Physics 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis and Mathematical Physics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Cambridge Monographs on Mathematical Physics 1 CRM Series in Mathematical Physics all top 5 Fields 59 Dynamical systems and ergodic theory (37-XX) 36 Quantum theory (81-XX) 33 Partial differential equations (35-XX) 19 Algebraic geometry (14-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Differential geometry (53-XX) 14 Nonassociative rings and algebras (17-XX) 14 Ordinary differential equations (34-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Combinatorics (05-XX) 13 Topological groups, Lie groups (22-XX) 12 Special functions (33-XX) 10 General and overarching topics; collections (00-XX) 8 Operator theory (47-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Manifolds and cell complexes (57-XX) 6 Relativity and gravitational theory (83-XX) 5 Number theory (11-XX) 5 Group theory and generalizations (20-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of particles and systems (70-XX) 4 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 1,073 times in 655 Documents Cited by ▼ Year ▼ Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras. Zbl 0659.58022Adams, M. R.; Harnad, J.; Previato, E. 50 1988 Group actions on principal bundles and invariance conditions for gauge fields. Zbl 0454.55010Harnad, J.; Shnider, S.; Vinet, Luc 49 1980 Darboux coordinates and Liouville-Arnold integration in loop algebras. Zbl 0791.58047Adams, M. R.; Harnad, J.; Hurtubise, J. 48 1993 Constraints and field equations for ten dimensional super Yang-Mills theory. Zbl 0601.53071Harnad, J.; Shnider, S. 39 1986 Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows. Zbl 0717.58051Adams, M. R.; Harnad, J.; Hurtubise, J. 36 1990 Dual isomonodromic deformations and moment maps to loop algebras. Zbl 0822.58018Harnad, J. 34 1994 Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces. Zbl 0532.58036Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 33 1984 Superposition principles for matrix Riccati equations. Zbl 0556.34015Harnad, J.; Winternitz, P.; Anderson, R. L. 31 1983 Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015Bertola, M.; Eynard, B.; Harnad, J. 29 2002 Dual moment maps into loop algebras. Zbl 0721.58025Adams, M. R.; Harnad, J.; Hurtubise, J. 29 1990 Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082Harnad, J.; Its, Alexander R. 26 2002 Hypergeometric \(\tau\)-functions, Hurwitz numbers and enumeration of paths. Zbl 1347.33035Harnad, J.; Orlov, A. Yu. 25 2015 Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306Bertola, M.; Eynard, B.; Harnad, J. 24 2006 Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions. Zbl 1148.82012Harnad, J.; Orlov, A. Yu 24 2006 2D Toda \(\tau\)-functions as combinatorial generating functions. Zbl 1347.05245Guay-Paquet, Mathieu; Harnad, J. 23 2015 Symmetry reduction for nonlinear relativistically invariant equations. Zbl 0599.70026Grundland, A. M.; Harnad, J.; Winternitz, P. 23 1984 The soliton correlation matrix and the reduction problem for integrable systems. Zbl 0549.58025Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 23 1984 Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. Zbl 1046.34098Bertola, M.; Eynard, B.; Harnad, J. 22 2003 Systems of ordinary differential equations with nonlinear superposition principles. Zbl 1194.34013Anderson, R. L.; Harnad, J.; Winternitz, P. 22 1982 Generalized Drinfeld-Sokolov reductions and KdV type hierarchies. Zbl 0773.35068Fehér, L.; Harnad, J.; Marshall, I. 21 1993 Generating functions for weighted Hurwitz numbers. Zbl 1369.05013Guay-Paquet, Mathieu; Harnad, J. 18 2017 Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables. Zbl 0842.58046Harnad, J.; Winternitz, P. 18 1995 Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032Bertola, M.; Eynard, B.; Harnad, J. 17 2003 Group theoretical approach to superposition rules for systems of Riccati equations. Zbl 0474.34011Anderson, R. L.; Harnad, J.; Winternitz, P. 16 1981 Tensor fields invariant under subgroups of the conformal group of space- time. Zbl 0419.53013Beckers, J.; Harnad, J.; Perroud, M.; Winternitz, P. 16 1978 Group actions on principal bundles and dimensional reduction. Zbl 0451.58013Harnad, J.; Shnider, S.; Tafel, J. 15 1980 Abelian integrals and the reduction method for an integrable Hamiltonian system. Zbl 0597.70020Gagnon, L.; Harnad, J.; Winternitz, P.; Hurtubise, J. 14 1985 Weighted Hurwitz numbers and hypergeometric \(\tau\)-functions: an overview. Zbl 1358.33004Harnad, J. 13 2016 The Yang-Mills system in compactified Minkowski space; invariance conditions and SU(2) invariant solutions. Zbl 0424.58022Harnad, J.; Shnider, S.; Vinet, Luc 13 1979 Canonical connections on Riemannian symmetric spaces and solutions to the Einstein-Yang-Mills equations. Zbl 0445.53032Harnad, J.; Tafel, J.; Shnider, S. 12 1980 Fermionic approach to weighted Hurwitz numbers and topological recursion. Zbl 1436.14060Alexandrov, A.; Chapuy, Guillaume; Eynard, B.; Harnad, J. 11 2018 Schur function expansions of KP \( \tau\)-functions associated to algebraic curves. Zbl 1231.14025Harnad, J.; Ènol’skii, V. Z. 11 2011 Modular solutions to equations of generalized Halphen type. Zbl 0956.11012Harnad, J.; McKay, J. 11 2000 Weighted Hurwitz numbers and topological recursion: an overview. Zbl 1401.14147Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 10 2018 Scalar products of symmetric functions and matrix integrals. Zbl 1178.82027Harnad, J.; Orlov, A. Yu. 10 2003 Supersymmetric Yang-Mills equations and supertwistors. Zbl 0701.53097Harnad, J.; Hurtubise, J.; Shnider, S. 10 1989 Quantum Hurwitz numbers and Macdonald polynomials. Zbl 1357.33008Harnad, J. 9 2016 Quantum isomonodromic deformations and the Knizhnik-Zamolodchikov equations. Zbl 0860.35123Harnad, J. 9 1996 Symplectic geometries on \(T^*\widetilde {G}\), Hamiltonian group actions and integrable systems. Zbl 0829.53027Harnad, J.; Kupershmidt, B. A. 9 1995 Isotropic geometry and twistors in higher dimensions. II: Odd dimensions, reality conditions, and twistor superspaces. Zbl 0823.32015Harnad, J.; Shnider, S. 9 1995 Multispecies weighted Hurwitz numbers. Zbl 1329.05014Harnad, J. 8 2015 Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16–21, 2002. Zbl 1055.37004Tempesta, P. (ed.); Winternitz, P. (ed.); Harnad, J. (ed.); Miller, W. jun. (ed.); Pogosyan, G. (ed.); Rodriguez, M. (ed.) 8 2004 Duality of spectral curves arising in two-matrix models. Zbl 1068.81044Bertola, M.; Eynard, B.; Harnad, J. 8 2003 The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Zbl 0885.00050Harnad, John (ed.); Kasman, Alex (ed.) 8 1998 Isotropic geometry and twistors in higher dimensions. I: The generalized Klein correspondence and spinor flags in even dimensions. Zbl 0764.32009Harnad, J.; Shnider, S. 8 1992 Weighted Hurwitz numbers and topological recursion. Zbl 07188554Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 7 2020 Symmetric polynomials, generalized Jacobi-Trudi identities and \(\tau\)-functions. Zbl 1397.05198Harnad, J.; Lee, Eunghyun 7 2018 Convolution symmetries of integrable hierarchies, matrix models and \(\tau\)-functions. Zbl 1328.37053Harnad, J.; Orlov, A. Yu. 7 2014 Hamiltonian structure of equations appearing in random matrices. Zbl 0938.82510Harnad, J.; Tracy, C. A.; Widom, H. 7 1993 Multi-Hamiltonian structures for \(r\)-matrix systems. Zbl 1152.81465Harnad, John; Hurtubise, Jacques 6 2008 Harmonics on hyperspheres, separation of variables and the Bethe ansatz. Zbl 0838.58017Harnad, J.; Winternitz, P. 6 1995 Quadratic pseudopotentials for Gl(N,\({\mathbb{C}})\) principal sigma models. Zbl 0584.58016Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 6 1984 Multi-soliton solutions to the Thirring model through the reduction method. Zbl 0539.35071David, D.; Harnad, J.; Shnider, S. 6 1984 Spinor fields invariant under space-time transformations. Zbl 0449.22015Beckers, J.; Harnad, J.; Jasselette, P. 6 1980 Fermionic construction of tau functions and random processes. Zbl 1183.82032Harnad, J.; Orlov, A. Yu. 5 2007 Janossy densities, multimatrix spacing distributions and Fredholm resolvents. Zbl 1077.45008Harnad, J. 5 2004 Picard-Fuchs equations, Hauptmoduls and integrable systems. Zbl 0973.34075Harnad, J. 5 2000 Darboux coordinates on coadjoint orbits of Lie algebras. Zbl 0879.58029Adams, M. R.; Harnad, J.; Hurtubise, J. 5 1997 Loop algebra moment maps and Hamiltonian models for the Painlevé transcendants. Zbl 0871.58049Harnad, J.; Wisse, M. A. 5 1996 Isospectral flow in loop algebras and quasiperiodic solutions of the sine-Gordon equation. Zbl 0780.35100Harnad, J.; Wisse, M.-A. 5 1993 Super loop groups, Hamiltonian actions and super Virasoro algebras. Zbl 0709.17020Harnad, J.; Kupershmidt, B. A. 5 1990 Rationally weighted Hurwitz numbers, Meijer \(G\)-functions and matrix integrals. Zbl 1429.81029Bertola, M.; Harnad, J. 4 2019 Superharmonic perturbations of a Gaussian measure, equilibrium measures and orthogonal polynomials. Zbl 1195.31003Balogh, F.; Harnad, J. 4 2009 Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy. Zbl 1128.37041Harnad, J.; Orlov, A. Yu. 4 2007 Constrained Hamiltonian systems on Lie groups, moment map reductions, and central extensions. Zbl 0991.37538Harnad, J. 4 1994 Matrix nonlinear Schrödinger equations and moment maps into loop algebras. Zbl 0767.58013Harnad, J.; Wisse, M.-A. 4 1992 Coadjoint orbits, spectral curves and Darboux coordinates. Zbl 0739.58014Adams, M. R.; Harnad, J.; Hurtubise, J. 4 1991 Formal power series solutions of supersymmetric \((N=3)\) Yang-Mills equations. Zbl 0605.58013Harnad, J.; Jacques, M. 4 1986 Asymptotics of quantum weighted Hurwitz numbers. Zbl 1397.82048Harnad, J; Ortmann, Janosch 3 2018 On the bilinear equations for Fredholm determinants appearing in random matrices. Zbl 1183.47044Harnad, J. 3 2002 Two-dimensional Krall-Sheffer polynomials and integrable systems. Zbl 0995.33009Harnad, John; Vinet, Luc; Yermolayeva, Oksana; Zhedanov, Alexei 3 2001 \(R\)-matrix construction of electromagnetic models for the Painlevé transcendents. Zbl 0844.58028Harnad, J.; Routhier, M. 3 1995 Isospectral flow and Liouville-Arnold integration on loop algebras. Zbl 0801.35121Harnad, J. 3 1993 Twisted Diff \(S^ 1\)-action on loop groups and representations of the Virasoro algebra. Zbl 0704.58017Harnad, J.; Kupershmidt, B. A. 3 1990 Integrable Hamiltonian systems on rational coadjoint orbits of loop algebras. Zbl 0761.58022Adams, M. R.; Harnad, J.; Hurtubise, J. 3 1990 Bilinear expansions of lattices of KP \( \tau \)-functions in BKP \( \tau \)-functions: a fermionic approach. Zbl 1456.81304Harnad, J.; Orlov, A. Yu. 2 2021 Generating weighted Hurwitz numbers. Zbl 1441.14118Bertola, M.; Harnad, J.; Runov, B. 2 2020 Finite dimensional Kadomtsev-Petviashvili \(\tau\)-functions. I: Finite Grassmannians. Zbl 1300.37043Balogh, F.; Fonseca, T.; Harnad, J. 2 2014 Random matrices, random processes and integrable systems. Zbl 1215.15002Harnad, John (ed.) 2 2011 Constrained reductions of two-dimensional dispersionless Toda hierarchy, Hamiltonian structure, and interface dynamics. Zbl 1111.37054Harnad, J.; Loutsenko, I.; Yermolayeva, O. 2 2005 Loop groups, \(R\)-matrices and separation of variables. Zbl 0967.37043Harnad, J. 2 2000 Generalized tops and moment maps to loop algebras. Zbl 0733.70012Harnad, J.; Hurtubise, J. 2 1991 Proceedings of the CRM workshop on Hamiltonian systems, transformation groups and spectral transform methods, Montréal, Canada, October 20-26, 1989. Zbl 0726.00014Harnad, J. (ed.); Marsden, J. E. (ed.) 2 1990 Pseudopotentials and Lie symmetries for the generalized nonlinear Schrödinger equation. Zbl 0519.35023Harnad, J.; Winternitz, P. 2 1982 Groups and symmetries. From Neolithic Scots to John McKay. Selected papers of the conference, Montreal, Canada, April 27–29, 2007. Zbl 1167.20300Harnad, John (ed.); Winternitz, Pavel (ed.) 1 2009 Superintegrability, Lax matrices and separation of variables. Zbl 1071.35106Harnad, J.; Yermolayeva, O. 1 2004 Virasoro generators and bilinear equations for isomonodromic tau functions. Zbl 1001.37068Harnad, J. 1 2002 Integrable systems: from classical to quantum. Proceedings of the 38th session of the Séminaire de mathématiques supérieures, Montréal, Canada, July 26–August 6, 1999. Zbl 0952.00031Harnad, J. (ed.); Sabidussi, G. (ed.); Winternitz, P. (ed.) 1 2000 Modular invariants and generalized Halphen systems. Zbl 0969.34075Harnad, J.; McKay, J. 1 2000 A generating function proof of the commutativity of certain Hamiltonian isospectral flows. Zbl 0676.58048Adams, M. R.; Harnad, J. 1 1988 The supersymmetric soliton correlation matrix. Zbl 0603.22009Harnad, J.; Jacques, M. 1 1985 Symmetry reduction for nonlinear wave equations in Riemannian and pseudo- Riemannian spaces. Zbl 0568.58036Grundland, A. M.; Harnad, J.; Winternitz, P. 1 1984 Soliton solutions to Zakharov-Shabat systems by the reduction method. Zbl 0558.35062Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 1 1984 Superposition principles for nonlinear differential equations. Zbl 0485.34008Anderson, R. L.; Harnad, J.; Winternitz, P. 1 1981 Geometrical and topological methods in gauge theories. Proceedings of the Canadian Mathematical Society Summer Research Institute, McGill University, Montreal, September 3-8, 1979. Zbl 0425.00029Harnad, J. P. (ed.); Shnider, S. (ed.) 1 1980 Bilinear expansions of lattices of KP \( \tau \)-functions in BKP \( \tau \)-functions: a fermionic approach. Zbl 1456.81304Harnad, J.; Orlov, A. Yu. 2 2021 Weighted Hurwitz numbers and topological recursion. Zbl 07188554Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 7 2020 Generating weighted Hurwitz numbers. Zbl 1441.14118Bertola, M.; Harnad, J.; Runov, B. 2 2020 Rationally weighted Hurwitz numbers, Meijer \(G\)-functions and matrix integrals. Zbl 1429.81029Bertola, M.; Harnad, J. 4 2019 Fermionic approach to weighted Hurwitz numbers and topological recursion. Zbl 1436.14060Alexandrov, A.; Chapuy, Guillaume; Eynard, B.; Harnad, J. 11 2018 Weighted Hurwitz numbers and topological recursion: an overview. Zbl 1401.14147Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 10 2018 Symmetric polynomials, generalized Jacobi-Trudi identities and \(\tau\)-functions. Zbl 1397.05198Harnad, J.; Lee, Eunghyun 7 2018 Asymptotics of quantum weighted Hurwitz numbers. Zbl 1397.82048Harnad, J; Ortmann, Janosch 3 2018 Generating functions for weighted Hurwitz numbers. Zbl 1369.05013Guay-Paquet, Mathieu; Harnad, J. 18 2017 Weighted Hurwitz numbers and hypergeometric \(\tau\)-functions: an overview. Zbl 1358.33004Harnad, J. 13 2016 Quantum Hurwitz numbers and Macdonald polynomials. Zbl 1357.33008Harnad, J. 9 2016 Hypergeometric \(\tau\)-functions, Hurwitz numbers and enumeration of paths. Zbl 1347.33035Harnad, J.; Orlov, A. Yu. 25 2015 2D Toda \(\tau\)-functions as combinatorial generating functions. Zbl 1347.05245Guay-Paquet, Mathieu; Harnad, J. 23 2015 Multispecies weighted Hurwitz numbers. Zbl 1329.05014Harnad, J. 8 2015 Convolution symmetries of integrable hierarchies, matrix models and \(\tau\)-functions. Zbl 1328.37053Harnad, J.; Orlov, A. Yu. 7 2014 Finite dimensional Kadomtsev-Petviashvili \(\tau\)-functions. I: Finite Grassmannians. Zbl 1300.37043Balogh, F.; Fonseca, T.; Harnad, J. 2 2014 Schur function expansions of KP \( \tau\)-functions associated to algebraic curves. Zbl 1231.14025Harnad, J.; Ènol’skii, V. Z. 11 2011 Random matrices, random processes and integrable systems. Zbl 1215.15002Harnad, John (ed.) 2 2011 Superharmonic perturbations of a Gaussian measure, equilibrium measures and orthogonal polynomials. Zbl 1195.31003Balogh, F.; Harnad, J. 4 2009 Groups and symmetries. From Neolithic Scots to John McKay. Selected papers of the conference, Montreal, Canada, April 27–29, 2007. Zbl 1167.20300Harnad, John (ed.); Winternitz, Pavel (ed.) 1 2009 Multi-Hamiltonian structures for \(r\)-matrix systems. Zbl 1152.81465Harnad, John; Hurtubise, Jacques 6 2008 Fermionic construction of tau functions and random processes. Zbl 1183.82032Harnad, J.; Orlov, A. Yu. 5 2007 Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy. Zbl 1128.37041Harnad, J.; Orlov, A. Yu. 4 2007 Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306Bertola, M.; Eynard, B.; Harnad, J. 24 2006 Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions. Zbl 1148.82012Harnad, J.; Orlov, A. Yu 24 2006 Constrained reductions of two-dimensional dispersionless Toda hierarchy, Hamiltonian structure, and interface dynamics. Zbl 1111.37054Harnad, J.; Loutsenko, I.; Yermolayeva, O. 2 2005 Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16–21, 2002. Zbl 1055.37004Tempesta, P. (ed.); Winternitz, P. (ed.); Harnad, J. (ed.); Miller, W. jun. (ed.); Pogosyan, G. (ed.); Rodriguez, M. (ed.) 8 2004 Janossy densities, multimatrix spacing distributions and Fredholm resolvents. Zbl 1077.45008Harnad, J. 5 2004 Superintegrability, Lax matrices and separation of variables. Zbl 1071.35106Harnad, J.; Yermolayeva, O. 1 2004 Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. Zbl 1046.34098Bertola, M.; Eynard, B.; Harnad, J. 22 2003 Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032Bertola, M.; Eynard, B.; Harnad, J. 17 2003 Scalar products of symmetric functions and matrix integrals. Zbl 1178.82027Harnad, J.; Orlov, A. Yu. 10 2003 Duality of spectral curves arising in two-matrix models. Zbl 1068.81044Bertola, M.; Eynard, B.; Harnad, J. 8 2003 Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015Bertola, M.; Eynard, B.; Harnad, J. 29 2002 Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082Harnad, J.; Its, Alexander R. 26 2002 On the bilinear equations for Fredholm determinants appearing in random matrices. Zbl 1183.47044Harnad, J. 3 2002 Virasoro generators and bilinear equations for isomonodromic tau functions. Zbl 1001.37068Harnad, J. 1 2002 Two-dimensional Krall-Sheffer polynomials and integrable systems. Zbl 0995.33009Harnad, John; Vinet, Luc; Yermolayeva, Oksana; Zhedanov, Alexei 3 2001 Modular solutions to equations of generalized Halphen type. Zbl 0956.11012Harnad, J.; McKay, J. 11 2000 Picard-Fuchs equations, Hauptmoduls and integrable systems. Zbl 0973.34075Harnad, J. 5 2000 Loop groups, \(R\)-matrices and separation of variables. Zbl 0967.37043Harnad, J. 2 2000 Integrable systems: from classical to quantum. Proceedings of the 38th session of the Séminaire de mathématiques supérieures, Montréal, Canada, July 26–August 6, 1999. Zbl 0952.00031Harnad, J. (ed.); Sabidussi, G. (ed.); Winternitz, P. (ed.) 1 2000 Modular invariants and generalized Halphen systems. Zbl 0969.34075Harnad, J.; McKay, J. 1 2000 The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Zbl 0885.00050Harnad, John (ed.); Kasman, Alex (ed.) 8 1998 Darboux coordinates on coadjoint orbits of Lie algebras. Zbl 0879.58029Adams, M. R.; Harnad, J.; Hurtubise, J. 5 1997 Quantum isomonodromic deformations and the Knizhnik-Zamolodchikov equations. Zbl 0860.35123Harnad, J. 9 1996 Loop algebra moment maps and Hamiltonian models for the Painlevé transcendants. Zbl 0871.58049Harnad, J.; Wisse, M. A. 5 1996 Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables. Zbl 0842.58046Harnad, J.; Winternitz, P. 18 1995 Symplectic geometries on \(T^*\widetilde {G}\), Hamiltonian group actions and integrable systems. Zbl 0829.53027Harnad, J.; Kupershmidt, B. A. 9 1995 Isotropic geometry and twistors in higher dimensions. II: Odd dimensions, reality conditions, and twistor superspaces. Zbl 0823.32015Harnad, J.; Shnider, S. 9 1995 Harmonics on hyperspheres, separation of variables and the Bethe ansatz. Zbl 0838.58017Harnad, J.; Winternitz, P. 6 1995 \(R\)-matrix construction of electromagnetic models for the Painlevé transcendents. Zbl 0844.58028Harnad, J.; Routhier, M. 3 1995 Dual isomonodromic deformations and moment maps to loop algebras. Zbl 0822.58018Harnad, J. 34 1994 Constrained Hamiltonian systems on Lie groups, moment map reductions, and central extensions. Zbl 0991.37538Harnad, J. 4 1994 Darboux coordinates and Liouville-Arnold integration in loop algebras. Zbl 0791.58047Adams, M. R.; Harnad, J.; Hurtubise, J. 48 1993 Generalized Drinfeld-Sokolov reductions and KdV type hierarchies. Zbl 0773.35068Fehér, L.; Harnad, J.; Marshall, I. 21 1993 Hamiltonian structure of equations appearing in random matrices. Zbl 0938.82510Harnad, J.; Tracy, C. A.; Widom, H. 7 1993 Isospectral flow in loop algebras and quasiperiodic solutions of the sine-Gordon equation. Zbl 0780.35100Harnad, J.; Wisse, M.-A. 5 1993 Isospectral flow and Liouville-Arnold integration on loop algebras. Zbl 0801.35121Harnad, J. 3 1993 Isotropic geometry and twistors in higher dimensions. I: The generalized Klein correspondence and spinor flags in even dimensions. Zbl 0764.32009Harnad, J.; Shnider, S. 8 1992 Matrix nonlinear Schrödinger equations and moment maps into loop algebras. Zbl 0767.58013Harnad, J.; Wisse, M.-A. 4 1992 Coadjoint orbits, spectral curves and Darboux coordinates. Zbl 0739.58014Adams, M. R.; Harnad, J.; Hurtubise, J. 4 1991 Generalized tops and moment maps to loop algebras. Zbl 0733.70012Harnad, J.; Hurtubise, J. 2 1991 Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows. Zbl 0717.58051Adams, M. R.; Harnad, J.; Hurtubise, J. 36 1990 Dual moment maps into loop algebras. Zbl 0721.58025Adams, M. R.; Harnad, J.; Hurtubise, J. 29 1990 Super loop groups, Hamiltonian actions and super Virasoro algebras. Zbl 0709.17020Harnad, J.; Kupershmidt, B. A. 5 1990 Twisted Diff \(S^ 1\)-action on loop groups and representations of the Virasoro algebra. Zbl 0704.58017Harnad, J.; Kupershmidt, B. A. 3 1990 Integrable Hamiltonian systems on rational coadjoint orbits of loop algebras. Zbl 0761.58022Adams, M. R.; Harnad, J.; Hurtubise, J. 3 1990 Proceedings of the CRM workshop on Hamiltonian systems, transformation groups and spectral transform methods, Montréal, Canada, October 20-26, 1989. Zbl 0726.00014Harnad, J. (ed.); Marsden, J. E. (ed.) 2 1990 Supersymmetric Yang-Mills equations and supertwistors. Zbl 0701.53097Harnad, J.; Hurtubise, J.; Shnider, S. 10 1989 Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras. Zbl 0659.58022Adams, M. R.; Harnad, J.; Previato, E. 50 1988 A generating function proof of the commutativity of certain Hamiltonian isospectral flows. Zbl 0676.58048Adams, M. R.; Harnad, J. 1 1988 Constraints and field equations for ten dimensional super Yang-Mills theory. Zbl 0601.53071Harnad, J.; Shnider, S. 39 1986 Formal power series solutions of supersymmetric \((N=3)\) Yang-Mills equations. Zbl 0605.58013Harnad, J.; Jacques, M. 4 1986 Abelian integrals and the reduction method for an integrable Hamiltonian system. Zbl 0597.70020Gagnon, L.; Harnad, J.; Winternitz, P.; Hurtubise, J. 14 1985 The supersymmetric soliton correlation matrix. Zbl 0603.22009Harnad, J.; Jacques, M. 1 1985 Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces. Zbl 0532.58036Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 33 1984 Symmetry reduction for nonlinear relativistically invariant equations. Zbl 0599.70026Grundland, A. M.; Harnad, J.; Winternitz, P. 23 1984 The soliton correlation matrix and the reduction problem for integrable systems. Zbl 0549.58025Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 23 1984 Quadratic pseudopotentials for Gl(N,\({\mathbb{C}})\) principal sigma models. Zbl 0584.58016Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 6 1984 Multi-soliton solutions to the Thirring model through the reduction method. Zbl 0539.35071David, D.; Harnad, J.; Shnider, S. 6 1984 Symmetry reduction for nonlinear wave equations in Riemannian and pseudo- Riemannian spaces. Zbl 0568.58036Grundland, A. M.; Harnad, J.; Winternitz, P. 1 1984 Soliton solutions to Zakharov-Shabat systems by the reduction method. Zbl 0558.35062Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 1 1984 Superposition principles for matrix Riccati equations. Zbl 0556.34015Harnad, J.; Winternitz, P.; Anderson, R. L. 31 1983 Systems of ordinary differential equations with nonlinear superposition principles. Zbl 1194.34013Anderson, R. L.; Harnad, J.; Winternitz, P. 22 1982 Pseudopotentials and Lie symmetries for the generalized nonlinear Schrödinger equation. Zbl 0519.35023Harnad, J.; Winternitz, P. 2 1982 Group theoretical approach to superposition rules for systems of Riccati equations. Zbl 0474.34011Anderson, R. L.; Harnad, J.; Winternitz, P. 16 1981 Superposition principles for nonlinear differential equations. Zbl 0485.34008Anderson, R. L.; Harnad, J.; Winternitz, P. 1 1981 Group actions on principal bundles and invariance conditions for gauge fields. Zbl 0454.55010Harnad, J.; Shnider, S.; Vinet, Luc 49 1980 Group actions on principal bundles and dimensional reduction. Zbl 0451.58013Harnad, J.; Shnider, S.; Tafel, J. 15 1980 Canonical connections on Riemannian symmetric spaces and solutions to the Einstein-Yang-Mills equations. Zbl 0445.53032Harnad, J.; Tafel, J.; Shnider, S. 12 1980 Spinor fields invariant under space-time transformations. Zbl 0449.22015Beckers, J.; Harnad, J.; Jasselette, P. 6 1980 Geometrical and topological methods in gauge theories. Proceedings of the Canadian Mathematical Society Summer Research Institute, McGill University, Montreal, September 3-8, 1979. Zbl 0425.00029Harnad, J. P. (ed.); Shnider, S. (ed.) 1 1980 The Yang-Mills system in compactified Minkowski space; invariance conditions and SU(2) invariant solutions. Zbl 0424.58022Harnad, J.; Shnider, S.; Vinet, Luc 13 1979 Tensor fields invariant under subgroups of the conformal group of space- time. Zbl 0419.53013Beckers, J.; Harnad, J.; Perroud, M.; Winternitz, P. 16 1978 all cited Publications top 5 cited Publications all top 5 Cited by 737 Authors 53 Harnad, John 32 Winternitz, Pavel 18 Bertola, Marco 13 Orlov, Aleksandr Yu. 12 Hurtubise, Jacques C. 12 Shnider, Steven 10 Mafra, Carlos R. 9 de Lucas, Javier 9 Eynard, Bertrand 9 Schlotterer, Oliver 8 Cariñena, José F. 8 Fushchych, Vil’gel’m Illich 8 Grundland, Alfred Michel 8 Hussin, Véronique 8 Vinet, Luc 7 Falqui, Gregorio 7 Its, Alexander Rudolfovich 7 Mo, Man Yue 7 Saint-Aubin, Yvan 7 Zabrodin, Anton V. 7 Zeng, Yunbo 6 Adams, Malcolm R. 6 del Olmo, Mariano A. 6 Fedorov, Yuri N. 6 Kuijlaars, Arno B. J. 6 Sämann, Christian 6 Wolf, Martin 6 Zhou, Ruguang 5 Balogh, Ferenc N. 5 Barannyk, Leonid F. 5 Cafasso, Mattia 5 Duits, Maurice 5 Légaré, Martin 5 Miramontes, J. Luis 5 Shadrin, Sergey V. 5 Skrypnyk, Taras Volodymyrovych 5 Takasaki, Kanehisa 5 Zotov, Andrei V. 4 Antoine, Jean-Pierre 4 Bielawski, Roger 4 Bourget, Alain 4 Chekhov, Leonid O. 4 De Sole, Alberto 4 Dubrovin, Boris Anatol’evich 4 Enolskiĭ, Viktor Zelikovich 4 Gagnon, Laurence S. 4 Gekhtman, Mikhaèl I. 4 Geng, Xianguo 4 Gorskiĭ, Aleksandr Sergeevich 4 Grava, Tamara 4 Hollowood, Timothy J. 4 Kac, Victor G. 4 Kalnins, Ernest G. 4 Korotkin, Dmitrii A. 4 Marchal, Olivier 4 Martínez-Finkelshtein, Andrei 4 Mironov, Andrei D. 4 Morozov, Alexei Yurievich 4 Pedroni, Marco 4 Popov, Alexander D. 4 Rudolph, Gerd 4 Runov, Boris A. 4 Sardón, Cristina 4 Szmigielski, Jacek 4 Valeri, Daniele 4 Wisse, M.-A. 3 Alexandrov, Alexander Sergeevich 3 Anas Hahn, Marvin 3 Anderson, Robert Leonard 3 Barannyk, Anatoliy F. 3 Beckers, J. V. L. 3 Belitsky, Andrei V. 3 Bernatska, Julia 3 Bleher, Pavel M. 3 Boalch, Philip P. 3 Chapuy, Guillaume 3 Chen, Yang 3 Conte, Robert M. 3 Genest, Vincent X. 3 Grabowski, Janusz 3 Guay-Paquet, Mathieu 3 Guha, Partha 3 Holod, Petro I. 3 Horváthy, Peter A. 3 Ivanov, Rossen I. 3 Jadczyk, Arkadiusz 3 Jovanović, Božidar Žarko 3 Korchemsky, Gregory P. 3 Kovalyov, Mikhail Yakovlevich 3 Kramer, Reinier 3 Krešić-Jurić, Saša 3 Künzle, Hans Peter 3 Kupershmidt, Boris A. 3 Lahno, Victor Ivanovich 3 Lechtenfeld, Olaf 3 Lewanski, Danilo 3 Ma, Wen-Xiu 3 Mazzocco, Marta 3 McLaughlin, Kenneth D. T.-R. 3 Miller, Willard jun. ...and 637 more Authors all top 5 Cited in 113 Serials 150 Journal of Mathematical Physics 69 Communications in Mathematical Physics 57 Journal of High Energy Physics 42 Journal of Geometry and Physics 35 Letters in Mathematical Physics 17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 16 Nuclear Physics. B 14 Theoretical and Mathematical Physics 14 Physica D 13 Journal of Nonlinear Mathematical Physics 9 Ukrainian Mathematical Journal 9 Journal of Approximation Theory 8 Journal of Mathematical Analysis and Applications 7 Advances in Mathematics 7 Journal of Physics A: Mathematical and Theoretical 6 Journal of Statistical Physics 6 Studies in Applied Mathematics 6 Linear Algebra and its Applications 5 Physics Letters. A 5 Mathematical Physics, Analysis and Geometry 5 Annales Henri Poincaré 5 Random Matrices: Theory and Applications 4 Fortschritte der Physik 4 Applied Mathematics and Computation 4 International Journal of Geometric Methods in Modern Physics 4 Analysis and Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 International Journal of Theoretical Physics 3 Duke Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 Journal of Differential Equations 3 Journal of Functional Analysis 3 Acta Applicandae Mathematicae 3 Constructive Approximation 3 Differential Geometry and its Applications 3 Regular and Chaotic Dynamics 2 Modern Physics Letters A 2 Physics Letters. B 2 Reports on Mathematical Physics 2 Reviews in Mathematical Physics 2 Annales de l’Institut Fourier 2 Compositio Mathematica 2 Journal of Combinatorial Theory. 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Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 General Relativity and Gravitation 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 Canadian Journal of Mathematics 1 Collectanea Mathematica 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the Moscow Mathematical Society 1 Topology and its Applications 1 European Journal of Combinatorics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Graphs and Combinatorics 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Integral Transforms and Special Functions 1 Documenta Mathematica 1 Séminaire Lotharingien de Combinatoire ...and 13 more Serials all top 5 Cited in 42 Fields 230 Dynamical systems and ergodic theory (37-XX) 228 Quantum theory (81-XX) 145 Partial differential equations (35-XX) 117 Differential geometry (53-XX) 90 Algebraic geometry (14-XX) 85 Ordinary differential equations (34-XX) 79 Nonassociative rings and algebras (17-XX) 63 Global analysis, analysis on manifolds (58-XX) 62 Special functions (33-XX) 57 Relativity and gravitational theory (83-XX) 55 Mechanics of particles and systems (70-XX) 49 Statistical mechanics, structure of matter (82-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 47 Probability theory and stochastic processes (60-XX) 42 Topological groups, Lie groups (22-XX) 31 Combinatorics (05-XX) 20 Several complex variables and analytic spaces (32-XX) 19 Functions of a complex variable (30-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 19 Operator theory (47-XX) 15 Manifolds and cell complexes (57-XX) 12 Functional analysis (46-XX) 11 Number theory (11-XX) 9 Difference and functional equations (39-XX) 8 Group theory and generalizations (20-XX) 7 Algebraic topology (55-XX) 6 Associative rings and algebras (16-XX) 6 Potential theory (31-XX) 6 Numerical analysis (65-XX) 4 Approximations and expansions (41-XX) 4 Abstract harmonic analysis (43-XX) 4 Fluid mechanics (76-XX) 3 History and biography (01-XX) 3 Optics, electromagnetic theory (78-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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