Edit Profile (opens in new tab) Harnad, John Co-Author Distance Author ID: harnad.john Published as: Harnad, J.; Harnad, John; Harnad, J. P.; Harnad, J more...less Homepage: http://www.crm.umontreal.ca/~harnad/ External Links: MGP · Wikidata · ResearchGate · GND · IdRef Documents Indexed: 125 Publications since 1978, including 1 Book and 7 Additional arXiv Preprints 9 Contributions as Editor Co-Authors: 49 Co-Authors with 107 Joint Publications 1,282 Co-Co-Authors all top 5 Co-Authors 23 single-authored 19 Winternitz, Pavel 16 Shnider, Steven 14 Hurtubise, Jacques C. 14 Orlov, Aleksandr Yu. 9 Bertola, Marco 8 Adams, Malcolm R. 8 Eynard, Bertrand 4 Balogh, Ferenc N. 4 Saint-Aubin, Yvan 4 Vinet, Luc 3 Alexandrov, Alexander Sergeevich 3 Chapuy, Guillaume 3 Grundland, Alfred Michel 3 Kupershmidt, Boris A. 3 Ortmann, Janosch 3 Runov, Boris A. 3 Wisse, M.-A. 3 Yermolayeva, Oksana 2 Arthamonov, Semeon 2 Beckers, Jules 2 Guay-Paquet, Mathieu 2 Its, Alexander Rudolfovich 2 McKay, John 2 Tafel, Jacek 2 Zhedanov, Alexei S. 1 Del Monte, Fabrizio 1 Enolskiĭ, Viktor Zelikovich 1 Fehér, László Gy. 1 Jasselette, P. 1 Kasman, Alex 1 Lee, Eunghyun 1 Loutsenko, Igor M. 1 Marsden, Jerrold Eldon 1 Marshall, Ian 1 Miller, Willard jun. 1 Paré, J.-P. 1 Patera, Jiří 1 Perroud, Marcel 1 Pogosyan, George S. 1 Previato, Emma 1 Rodríguez, Miguel Angel 1 Routhier, M. 1 Sabidussi, Gert 1 Shapiro, Joel A. 1 Taylor, Cyrus Cooper 1 Tempesta, Piergiulio 1 Tracy, Craig Arnold 1 van de Leur, Johan W. 1 Widom, Harold all top 5 Serials 29 Journal of Mathematical Physics 18 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 2 Annales Henri Poincaré 2 Journal of Physics A: Mathematical and Theoretical 1 Russian Mathematical Surveys 1 Proceedings of the American Mathematical Society 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 Analysis and Mathematical Physics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Cambridge Monographs on Mathematical Physics 1 CRM Series in Mathematical Physics all top 5 Fields 66 Dynamical systems and ergodic theory (37-XX) 37 Quantum theory (81-XX) 36 Partial differential equations (35-XX) 23 Algebraic geometry (14-XX) 18 Ordinary differential equations (34-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Differential geometry (53-XX) 15 Combinatorics (05-XX) 14 Nonassociative rings and algebras (17-XX) 14 Special functions (33-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Topological groups, Lie groups (22-XX) 9 General and overarching topics; collections (00-XX) 8 Operator theory (47-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Manifolds and cell complexes (57-XX) 6 Probability theory and stochastic processes (60-XX) 6 Relativity and gravitational theory (83-XX) 5 Number theory (11-XX) 5 Group theory and generalizations (20-XX) 5 Mechanics of particles and systems (70-XX) 4 Functions of a complex variable (30-XX) 4 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 Difference and functional equations (39-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 104 Publications have been cited 1,379 times in 791 Documents Cited by ▼ Year ▼ Darboux coordinates and Liouville-Arnold integration in loop algebras. Zbl 0791.58047 Adams, M. R.; Harnad, J.; Hurtubise, J. 57 1993 Group actions on principal bundles and invariance conditions for gauge fields. Zbl 0454.55010 Harnad, J.; Shnider, S.; Vinet, Luc 56 1980 Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras. Zbl 0659.58022 Adams, M. R.; Harnad, J.; Previato, E. 54 1988 Dual isomonodromic deformations and moment maps to loop algebras. Zbl 0822.58018 Harnad, J. 43 1994 Constraints and field equations for ten dimensional super Yang-Mills theory. Zbl 0601.53071 Harnad, J.; Shnider, S. 41 1986 Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows. Zbl 0717.58051 Adams, M. R.; Harnad, J.; Hurtubise, J. 40 1990 Superposition principles for matrix Riccati equations. Zbl 0556.34015 Harnad, J.; Winternitz, P.; Anderson, R. L. 38 1983 Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces. Zbl 0532.58036 Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 37 1984 Hypergeometric \(\tau\)-functions, Hurwitz numbers and enumeration of paths. Zbl 1347.33035 Harnad, J.; Orlov, A. Yu. 37 2015 Dual moment maps into loop algebras. Zbl 0721.58025 Adams, M. R.; Harnad, J.; Hurtubise, J. 34 1990 2D Toda \(\tau\)-functions as combinatorial generating functions. Zbl 1347.05245 Guay-Paquet, Mathieu; Harnad, J. 33 2015 Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015 Bertola, M.; Eynard, B.; Harnad, J. 33 2002 Generating functions for weighted Hurwitz numbers. Zbl 1369.05013 Guay-Paquet, Mathieu; Harnad, J. 30 2017 Systems of ordinary differential equations with nonlinear superposition principles. Zbl 1194.34013 Anderson, R. L.; Harnad, J.; Winternitz, P. 29 1982 Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306 Bertola, M.; Eynard, B.; Harnad, J. 28 2006 Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082 Harnad, J.; Its, Alexander R. 28 2002 Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions. Zbl 1148.82012 Harnad, J.; Orlov, A. Yu 28 2006 Generalized Drinfeld-Sokolov reductions and KdV type hierarchies. Zbl 0773.35068 Fehér, L.; Harnad, J.; Marshall, I. 26 1993 Symmetry reduction for nonlinear relativistically invariant equations. Zbl 0599.70026 Grundland, A. M.; Harnad, J.; Winternitz, P. 26 1984 Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. Zbl 1046.34098 Bertola, M.; Eynard, B.; Harnad, J. 25 2003 Weighted Hurwitz numbers and topological recursion: an overview. Zbl 1401.14147 Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 24 2018 The soliton correlation matrix and the reduction problem for integrable systems. Zbl 0549.58025 Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 23 1984 Group theoretical approach to superposition rules for systems of Riccati equations. Zbl 0474.34011 Anderson, R. L.; Harnad, J.; Winternitz, P. 20 1981 Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032 Bertola, M.; Eynard, B.; Harnad, J. 20 2003 The Yang-Mills system in compactified Minkowski space; invariance conditions and SU(2) invariant solutions. Zbl 0424.58022 Harnad, J.; Shnider, S.; Vinet, Luc 20 1979 Weighted Hurwitz numbers and hypergeometric \(\tau\)-functions: an overview. Zbl 1358.33004 Harnad, J. 20 2016 Weighted Hurwitz numbers and topological recursion. Zbl 1472.37078 Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 20 2020 Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables. Zbl 0842.58046 Harnad, J.; Winternitz, P. 19 1995 Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16–21, 2002. Zbl 1055.37004 17 2004 Fermionic approach to weighted Hurwitz numbers and topological recursion. Zbl 1436.14060 Alexandrov, A.; Chapuy, Guillaume; Eynard, B.; Harnad, J. 17 2018 Quantum isomonodromic deformations and the Knizhnik-Zamolodchikov equations. Zbl 0860.35123 Harnad, J. 16 1996 Tensor fields invariant under subgroups of the conformal group of space- time. Zbl 0419.53013 Beckers, J.; Harnad, J.; Perroud, M.; Winternitz, P. 16 1978 Group actions on principal bundles and dimensional reduction. Zbl 0451.58013 Harnad, J.; Shnider, S.; Tafel, J. 16 1980 Modular solutions to equations of generalized Halphen type. Zbl 0956.11012 Harnad, J.; McKay, J. 15 2000 Abelian integrals and the reduction method for an integrable Hamiltonian system. Zbl 0597.70020 Gagnon, L.; Harnad, J.; Winternitz, P.; Hurtubise, J. 15 1985 Tau functions and their applications. Zbl 1482.37001 Harnad, John; Balogh, Ferenc 15 2021 Schur function expansions of KP \( \tau\)-functions associated to algebraic curves. Zbl 1231.14025 Harnad, J.; Ènol’skii, V. Z. 14 2011 Canonical connections on Riemannian symmetric spaces and solutions to the Einstein-Yang-Mills equations. Zbl 0445.53032 Harnad, J.; Tafel, J.; Shnider, S. 14 1980 Scalar products of symmetric functions and matrix integrals. Zbl 1178.82027 Harnad, J.; Orlov, A. Yu. 13 2003 Supersymmetric Yang-Mills equations and supertwistors. Zbl 0701.53097 Harnad, J.; Hurtubise, J.; Shnider, S. 12 1989 Hamiltonian structure of equations appearing in random matrices. Zbl 0938.82510 Harnad, J.; Tracy, C. A.; Widom, H. 11 1993 Isotropic geometry and twistors in higher dimensions. II: Odd dimensions, reality conditions, and twistor superspaces. Zbl 0823.32015 Harnad, J.; Shnider, S. 11 1995 Symplectic geometries on \(T^*\widetilde {G}\), Hamiltonian group actions and integrable systems. Zbl 0829.53027 Harnad, J.; Kupershmidt, B. A. 11 1995 Quantum Hurwitz numbers and Macdonald polynomials. Zbl 1357.33008 Harnad, J. 11 2016 Symmetric polynomials, generalized Jacobi-Trudi identities and \(\tau\)-functions. Zbl 1397.05198 Harnad, J.; Lee, Eunghyun 11 2018 Isotropic geometry and twistors in higher dimensions. I: The generalized Klein correspondence and spinor flags in even dimensions. Zbl 0764.32009 Harnad, J.; Shnider, S. 10 1992 Bilinear expansions of lattices of KP \( \tau \)-functions in BKP \( \tau \)-functions: a fermionic approach. Zbl 1456.81304 Harnad, J.; Orlov, A. Yu. 10 2021 Multispecies weighted Hurwitz numbers. Zbl 1329.05014 Harnad, J. 9 2015 \(R\)-matrix construction of electromagnetic models for the Painlevé transcendents. Zbl 0844.58028 Harnad, J.; Routhier, M. 8 1995 Duality of spectral curves arising in two-matrix models. Zbl 1068.81044 Bertola, M.; Eynard, B.; Harnad, J. 8 2003 Convolution symmetries of integrable hierarchies, matrix models and \(\tau\)-functions. Zbl 1328.37053 Harnad, J.; Orlov, A. Yu. 8 2014 Polynomial KP and BKP \(\tau\)-functions and correlators. Zbl 1481.37074 Harnad, J.; Orlov, A. Yu. 8 2021 Multi-soliton solutions to the Thirring model through the reduction method. Zbl 0539.35071 David, D.; Harnad, J.; Shnider, S. 7 1984 Multi-Hamiltonian structures for \(r\)-matrix systems. Zbl 1152.81465 Harnad, John; Hurtubise, Jacques 7 2008 The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Zbl 0885.00050 7 1998 Darboux coordinates on coadjoint orbits of Lie algebras. Zbl 0879.58029 Adams, M. R.; Harnad, J.; Hurtubise, J. 7 1997 Rationally weighted Hurwitz numbers, Meijer \(G\)-functions and matrix integrals. Zbl 1429.81029 Bertola, M.; Harnad, J. 7 2019 Isotropic Grassmannians, Plücker and Cartan maps. Zbl 1464.37070 Balogh, F.; Harnad, J.; Hurtubise, J. 7 2021 Fermionic construction of tau functions and random processes. Zbl 1183.82032 Harnad, J.; Orlov, A. Yu. 6 2007 Harmonics on hyperspheres, separation of variables and the Bethe ansatz. Zbl 0838.58017 Harnad, J.; Winternitz, P. 6 1995 Loop algebra moment maps and Hamiltonian models for the Painlevé transcendants. Zbl 0871.58049 Harnad, J.; Wisse, M. A. 6 1996 Two-dimensional Krall-Sheffer polynomials and integrable systems. Zbl 0995.33009 Harnad, John; Vinet, Luc; Yermolayeva, Oksana; Zhedanov, Alexei 6 2001 Superharmonic perturbations of a Gaussian measure, equilibrium measures and orthogonal polynomials. Zbl 1195.31003 Balogh, F.; Harnad, J. 6 2009 Quadratic pseudopotentials for Gl(N,\({\mathbb{C}})\) principal sigma models. Zbl 0584.58016 Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 6 1984 Spinor fields invariant under space-time transformations. Zbl 0449.22015 Beckers, J.; Harnad, J.; Jasselette, P. 6 1980 Picard-Fuchs equations, Hauptmoduls and integrable systems. Zbl 0973.34075 Harnad, J. 5 2000 Janossy densities, multimatrix spacing distributions and Fredholm resolvents. Zbl 1077.45008 Harnad, J. 5 2004 Super loop groups, Hamiltonian actions and super Virasoro algebras. Zbl 0709.17020 Harnad, J.; Kupershmidt, B. A. 5 1990 Coadjoint orbits, spectral curves and Darboux coordinates. Zbl 0739.58014 Adams, M. R.; Harnad, J.; Hurtubise, J. 5 1991 Matrix nonlinear Schrödinger equations and moment maps into loop algebras. Zbl 0767.58013 Harnad, J.; Wisse, M.-A. 5 1992 Isospectral flow in loop algebras and quasiperiodic solutions of the sine-Gordon equation. Zbl 0780.35100 Harnad, J.; Wisse, M.-A. 5 1993 Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy. Zbl 1128.37041 Harnad, J.; Orlov, A. Yu. 5 2007 Generating weighted Hurwitz numbers. Zbl 1441.14118 Bertola, M.; Harnad, J.; Runov, B. 5 2020 Tau functions, infinite Grassmannians, and lattice recurrences. Zbl 1511.37075 Arthamonov, S.; Harnad, J.; Hurtubise, J. 5 2023 Bilinear expansion of Schur functions in Schur \(Q\)-functions: a fermionic approach. Zbl 1471.05114 Harnad, J.; Orlov, A. Yu. 5 2021 Formal power series solutions of supersymmetric \((N=3)\) Yang-Mills equations. Zbl 0605.58013 Harnad, J.; Jacques, M. 4 1986 Integrable Hamiltonian systems on rational coadjoint orbits of loop algebras. Zbl 0761.58022 Adams, M. R.; Harnad, J.; Hurtubise, J. 4 1990 Isospectral flow and Liouville-Arnold integration on loop algebras. Zbl 0801.35121 Harnad, J. 4 1993 Finite dimensional Kadomtsev-Petviashvili {\(\tau\)}-functions. I: Finite Grassmannians. Zbl 1300.37043 Balogh, F.; Fonseca, T.; Harnad, J. 4 2014 On the bilinear equations for Fredholm determinants appearing in random matrices. Zbl 1183.47044 Harnad, J. 4 2002 Constrained reductions of two-dimensional dispersionless Toda hierarchy, Hamiltonian structure, and interface dynamics. Zbl 1111.37054 Harnad, J.; Loutsenko, I.; Yermolayeva, O. 3 2005 Random matrices, random processes and integrable systems. Zbl 1215.15002 3 2011 Constrained Hamiltonian systems on Lie groups, moment map reductions, and central extensions. Zbl 0991.37538 Harnad, J. 3 1994 Twisted Diff \(S^ 1\)-action on loop groups and representations of the Virasoro algebra. Zbl 0704.58017 Harnad, J.; Kupershmidt, B. A. 3 1990 Asymptotics of quantum weighted Hurwitz numbers. Zbl 1397.82048 Harnad, J; Ortmann, Janosch 3 2018 Pseudopotentials and Lie symmetries for the generalized nonlinear Schrödinger equation. Zbl 0519.35023 Harnad, J.; Winternitz, P. 2 1982 Loop groups, \(R\)-matrices and separation of variables. Zbl 0967.37043 Harnad, J. 2 2000 Superintegrability, Lax matrices and separation of variables. Zbl 1071.35106 Harnad, J.; Yermolayeva, O. 2 2004 Generalized tops and moment maps to loop algebras. Zbl 0733.70012 Harnad, J.; Hurtubise, J. 2 1991 Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations. Zbl 1525.37074 Arthamonov, S.; Harnad, J.; Hurtubise, J. 2 2023 Hamiltonian structure of rational isomonodromic deformation systems. Zbl 1520.37042 Bertola, M.; Harnad, J.; Hurtubise, J. 2 2023 A generating function proof of the commutativity of certain Hamiltonian isospectral flows. Zbl 0676.58048 Adams, M. R.; Harnad, J. 1 1988 Superposition principles for nonlinear differential equations. Zbl 0485.34008 Anderson, R. L.; Harnad, J.; Winternitz, P. 1 1981 Soliton solutions to Zakharov-Shabat systems by the reduction method. Zbl 0558.35062 Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 1 1984 Modular invariants and generalized Halphen systems. Zbl 0969.34075 Harnad, J.; McKay, J. 1 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 0952.00031 1 2000 Virasoro generators and bilinear equations for isomonodromic tau functions. Zbl 1001.37068 Harnad, J. 1 2002 Symmetry reduction for nonlinear wave equations in Riemannian and pseudo- Riemannian spaces. Zbl 0568.58036 Grundland, A. M.; Harnad, J.; Winternitz, P. 1 1984 The supersymmetric soliton correlation matrix. Zbl 0603.22009 Harnad, J.; Jacques, M. 1 1985 Proceedings of the CRM workshop on Hamiltonian systems, transformation groups and spectral transform methods, Montréal, Canada, October 20-26, 1989. Zbl 0726.00014 1 1990 Tau functions, infinite Grassmannians, and lattice recurrences. Zbl 1511.37075 Arthamonov, S.; Harnad, J.; Hurtubise, J. 5 2023 Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations. Zbl 1525.37074 Arthamonov, S.; Harnad, J.; Hurtubise, J. 2 2023 Hamiltonian structure of rational isomonodromic deformation systems. Zbl 1520.37042 Bertola, M.; Harnad, J.; Hurtubise, J. 2 2023 Tau functions and their applications. Zbl 1482.37001 Harnad, John; Balogh, Ferenc 15 2021 Bilinear expansions of lattices of KP \( \tau \)-functions in BKP \( \tau \)-functions: a fermionic approach. Zbl 1456.81304 Harnad, J.; Orlov, A. Yu. 10 2021 Polynomial KP and BKP \(\tau\)-functions and correlators. Zbl 1481.37074 Harnad, J.; Orlov, A. Yu. 8 2021 Isotropic Grassmannians, Plücker and Cartan maps. Zbl 1464.37070 Balogh, F.; Harnad, J.; Hurtubise, J. 7 2021 Bilinear expansion of Schur functions in Schur \(Q\)-functions: a fermionic approach. Zbl 1471.05114 Harnad, J.; Orlov, A. Yu. 5 2021 Constellations and \(\tau\)-functions for rationally weighted Hurwitz numbers. Zbl 1465.05012 Harnad, John; Runov, Boris 1 2021 Weighted Hurwitz numbers and topological recursion. Zbl 1472.37078 Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 20 2020 Generating weighted Hurwitz numbers. Zbl 1441.14118 Bertola, M.; Harnad, J.; Runov, B. 5 2020 Matrix model generating function for quantum weighted Hurwitz numbers. Zbl 1511.05008 Harnad, J.; Runov, B. 1 2020 Rationally weighted Hurwitz numbers, Meijer \(G\)-functions and matrix integrals. Zbl 1429.81029 Bertola, M.; Harnad, J. 7 2019 Weighted Hurwitz numbers and topological recursion: an overview. Zbl 1401.14147 Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. 24 2018 Fermionic approach to weighted Hurwitz numbers and topological recursion. Zbl 1436.14060 Alexandrov, A.; Chapuy, Guillaume; Eynard, B.; Harnad, J. 17 2018 Symmetric polynomials, generalized Jacobi-Trudi identities and \(\tau\)-functions. Zbl 1397.05198 Harnad, J.; Lee, Eunghyun 11 2018 Asymptotics of quantum weighted Hurwitz numbers. Zbl 1397.82048 Harnad, J; Ortmann, Janosch 3 2018 Generating functions for weighted Hurwitz numbers. Zbl 1369.05013 Guay-Paquet, Mathieu; Harnad, J. 30 2017 Weighted Hurwitz numbers and hypergeometric \(\tau\)-functions: an overview. Zbl 1358.33004 Harnad, J. 20 2016 Quantum Hurwitz numbers and Macdonald polynomials. Zbl 1357.33008 Harnad, J. 11 2016 Hypergeometric \(\tau\)-functions, Hurwitz numbers and enumeration of paths. Zbl 1347.33035 Harnad, J.; Orlov, A. Yu. 37 2015 2D Toda \(\tau\)-functions as combinatorial generating functions. Zbl 1347.05245 Guay-Paquet, Mathieu; Harnad, J. 33 2015 Multispecies weighted Hurwitz numbers. Zbl 1329.05014 Harnad, J. 9 2015 Convolution symmetries of integrable hierarchies, matrix models and \(\tau\)-functions. Zbl 1328.37053 Harnad, J.; Orlov, A. Yu. 8 2014 Finite dimensional Kadomtsev-Petviashvili {\(\tau\)}-functions. I: Finite Grassmannians. Zbl 1300.37043 Balogh, F.; Fonseca, T.; Harnad, J. 4 2014 Schur function expansions of KP \( \tau\)-functions associated to algebraic curves. Zbl 1231.14025 Harnad, J.; Ènol’skii, V. Z. 14 2011 Random matrices, random processes and integrable systems. Zbl 1215.15002 3 2011 Superharmonic perturbations of a Gaussian measure, equilibrium measures and orthogonal polynomials. Zbl 1195.31003 Balogh, F.; Harnad, J. 6 2009 Groups and symmetries. From Neolithic Scots to John McKay. Selected papers of the conference, Montreal, Canada, April 27–29, 2007. Zbl 1167.20300 1 2009 Multi-Hamiltonian structures for \(r\)-matrix systems. Zbl 1152.81465 Harnad, John; Hurtubise, Jacques 7 2008 Fermionic construction of tau functions and random processes. Zbl 1183.82032 Harnad, J.; Orlov, A. Yu. 6 2007 Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy. Zbl 1128.37041 Harnad, J.; Orlov, A. Yu. 5 2007 Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306 Bertola, M.; Eynard, B.; Harnad, J. 28 2006 Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions. Zbl 1148.82012 Harnad, J.; Orlov, A. Yu 28 2006 Constrained reductions of two-dimensional dispersionless Toda hierarchy, Hamiltonian structure, and interface dynamics. Zbl 1111.37054 Harnad, J.; Loutsenko, I.; Yermolayeva, O. 3 2005 Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16–21, 2002. Zbl 1055.37004 17 2004 Janossy densities, multimatrix spacing distributions and Fredholm resolvents. Zbl 1077.45008 Harnad, J. 5 2004 Superintegrability, Lax matrices and separation of variables. Zbl 1071.35106 Harnad, J.; Yermolayeva, O. 2 2004 Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem. Zbl 1046.34098 Bertola, M.; Eynard, B.; Harnad, J. 25 2003 Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032 Bertola, M.; Eynard, B.; Harnad, J. 20 2003 Scalar products of symmetric functions and matrix integrals. Zbl 1178.82027 Harnad, J.; Orlov, A. Yu. 13 2003 Duality of spectral curves arising in two-matrix models. Zbl 1068.81044 Bertola, M.; Eynard, B.; Harnad, J. 8 2003 Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015 Bertola, M.; Eynard, B.; Harnad, J. 33 2002 Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082 Harnad, J.; Its, Alexander R. 28 2002 On the bilinear equations for Fredholm determinants appearing in random matrices. Zbl 1183.47044 Harnad, J. 4 2002 Virasoro generators and bilinear equations for isomonodromic tau functions. Zbl 1001.37068 Harnad, J. 1 2002 Two-dimensional Krall-Sheffer polynomials and integrable systems. Zbl 0995.33009 Harnad, John; Vinet, Luc; Yermolayeva, Oksana; Zhedanov, Alexei 6 2001 Modular solutions to equations of generalized Halphen type. Zbl 0956.11012 Harnad, J.; McKay, J. 15 2000 Picard-Fuchs equations, Hauptmoduls and integrable systems. Zbl 0973.34075 Harnad, J. 5 2000 Loop groups, \(R\)-matrices and separation of variables. Zbl 0967.37043 Harnad, J. 2 2000 Modular invariants and generalized Halphen systems. Zbl 0969.34075 Harnad, J.; McKay, J. 1 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 0952.00031 1 2000 The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Zbl 0885.00050 7 1998 Darboux coordinates on coadjoint orbits of Lie algebras. Zbl 0879.58029 Adams, M. R.; Harnad, J.; Hurtubise, J. 7 1997 Quantum isomonodromic deformations and the Knizhnik-Zamolodchikov equations. Zbl 0860.35123 Harnad, J. 16 1996 Loop algebra moment maps and Hamiltonian models for the Painlevé transcendants. Zbl 0871.58049 Harnad, J.; Wisse, M. A. 6 1996 Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables. Zbl 0842.58046 Harnad, J.; Winternitz, P. 19 1995 Isotropic geometry and twistors in higher dimensions. II: Odd dimensions, reality conditions, and twistor superspaces. Zbl 0823.32015 Harnad, J.; Shnider, S. 11 1995 Symplectic geometries on \(T^*\widetilde {G}\), Hamiltonian group actions and integrable systems. Zbl 0829.53027 Harnad, J.; Kupershmidt, B. A. 11 1995 \(R\)-matrix construction of electromagnetic models for the Painlevé transcendents. Zbl 0844.58028 Harnad, J.; Routhier, M. 8 1995 Harmonics on hyperspheres, separation of variables and the Bethe ansatz. Zbl 0838.58017 Harnad, J.; Winternitz, P. 6 1995 Dual isomonodromic deformations and moment maps to loop algebras. Zbl 0822.58018 Harnad, J. 43 1994 Constrained Hamiltonian systems on Lie groups, moment map reductions, and central extensions. Zbl 0991.37538 Harnad, J. 3 1994 Darboux coordinates and Liouville-Arnold integration in loop algebras. Zbl 0791.58047 Adams, M. R.; Harnad, J.; Hurtubise, J. 57 1993 Generalized Drinfeld-Sokolov reductions and KdV type hierarchies. Zbl 0773.35068 Fehér, L.; Harnad, J.; Marshall, I. 26 1993 Hamiltonian structure of equations appearing in random matrices. Zbl 0938.82510 Harnad, J.; Tracy, C. A.; Widom, H. 11 1993 Isospectral flow in loop algebras and quasiperiodic solutions of the sine-Gordon equation. Zbl 0780.35100 Harnad, J.; Wisse, M.-A. 5 1993 Isospectral flow and Liouville-Arnold integration on loop algebras. Zbl 0801.35121 Harnad, J. 4 1993 Isotropic geometry and twistors in higher dimensions. I: The generalized Klein correspondence and spinor flags in even dimensions. Zbl 0764.32009 Harnad, J.; Shnider, S. 10 1992 Matrix nonlinear Schrödinger equations and moment maps into loop algebras. Zbl 0767.58013 Harnad, J.; Wisse, M.-A. 5 1992 Coadjoint orbits, spectral curves and Darboux coordinates. Zbl 0739.58014 Adams, M. R.; Harnad, J.; Hurtubise, J. 5 1991 Generalized tops and moment maps to loop algebras. Zbl 0733.70012 Harnad, J.; Hurtubise, J. 2 1991 Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows. Zbl 0717.58051 Adams, M. R.; Harnad, J.; Hurtubise, J. 40 1990 Dual moment maps into loop algebras. Zbl 0721.58025 Adams, M. R.; Harnad, J.; Hurtubise, J. 34 1990 Super loop groups, Hamiltonian actions and super Virasoro algebras. Zbl 0709.17020 Harnad, J.; Kupershmidt, B. A. 5 1990 Integrable Hamiltonian systems on rational coadjoint orbits of loop algebras. Zbl 0761.58022 Adams, M. R.; Harnad, J.; Hurtubise, J. 4 1990 Twisted Diff \(S^ 1\)-action on loop groups and representations of the Virasoro algebra. Zbl 0704.58017 Harnad, J.; Kupershmidt, B. A. 3 1990 Proceedings of the CRM workshop on Hamiltonian systems, transformation groups and spectral transform methods, Montréal, Canada, October 20-26, 1989. Zbl 0726.00014 1 1990 Supersymmetric Yang-Mills equations and supertwistors. Zbl 0701.53097 Harnad, J.; Hurtubise, J.; Shnider, S. 12 1989 Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras. Zbl 0659.58022 Adams, M. R.; Harnad, J.; Previato, E. 54 1988 A generating function proof of the commutativity of certain Hamiltonian isospectral flows. Zbl 0676.58048 Adams, M. R.; Harnad, J. 1 1988 Constraints and field equations for ten dimensional super Yang-Mills theory. Zbl 0601.53071 Harnad, J.; Shnider, S. 41 1986 Formal power series solutions of supersymmetric \((N=3)\) Yang-Mills equations. Zbl 0605.58013 Harnad, J.; Jacques, M. 4 1986 Abelian integrals and the reduction method for an integrable Hamiltonian system. Zbl 0597.70020 Gagnon, L.; Harnad, J.; Winternitz, P.; Hurtubise, J. 15 1985 The supersymmetric soliton correlation matrix. Zbl 0603.22009 Harnad, J.; Jacques, M. 1 1985 Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces. Zbl 0532.58036 Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 37 1984 Symmetry reduction for nonlinear relativistically invariant equations. Zbl 0599.70026 Grundland, A. M.; Harnad, J.; Winternitz, P. 26 1984 The soliton correlation matrix and the reduction problem for integrable systems. Zbl 0549.58025 Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 23 1984 Multi-soliton solutions to the Thirring model through the reduction method. Zbl 0539.35071 David, D.; Harnad, J.; Shnider, S. 7 1984 Quadratic pseudopotentials for Gl(N,\({\mathbb{C}})\) principal sigma models. Zbl 0584.58016 Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 6 1984 Soliton solutions to Zakharov-Shabat systems by the reduction method. Zbl 0558.35062 Harnad, J.; Saint-Aubin, Yvan; Shnider, S. 1 1984 Symmetry reduction for nonlinear wave equations in Riemannian and pseudo- Riemannian spaces. Zbl 0568.58036 Grundland, A. M.; Harnad, J.; Winternitz, P. 1 1984 Superposition principles for matrix Riccati equations. Zbl 0556.34015 Harnad, J.; Winternitz, P.; Anderson, R. L. 38 1983 Systems of ordinary differential equations with nonlinear superposition principles. Zbl 1194.34013 Anderson, R. L.; Harnad, J.; Winternitz, P. 29 1982 Pseudopotentials and Lie symmetries for the generalized nonlinear Schrödinger equation. Zbl 0519.35023 Harnad, J.; Winternitz, P. 2 1982 Group theoretical approach to superposition rules for systems of Riccati equations. Zbl 0474.34011 Anderson, R. L.; Harnad, J.; Winternitz, P. 20 1981 Superposition principles for nonlinear differential equations. Zbl 0485.34008 Anderson, R. L.; Harnad, J.; Winternitz, P. 1 1981 Group actions on principal bundles and invariance conditions for gauge fields. Zbl 0454.55010 Harnad, J.; Shnider, S.; Vinet, Luc 56 1980 Group actions on principal bundles and dimensional reduction. Zbl 0451.58013 Harnad, J.; Shnider, S.; Tafel, J. 16 1980 Canonical connections on Riemannian symmetric spaces and solutions to the Einstein-Yang-Mills equations. Zbl 0445.53032 Harnad, J.; Tafel, J.; Shnider, S. 14 1980 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 832 Authors 61 Harnad, John 32 Winternitz, Pavel 22 Bertola, Marco 18 Orlov, Aleksandr Yu. 15 Hurtubise, Jacques C. 12 Shnider, Steven 11 de Lucas, Javier 10 Alexandrov, Alexander Sergeevich 10 Cariñena, José F. 9 Eynard, Bertrand 9 Mafra, Carlos R. 9 Shadrin, Sergey V. 8 Fushchych, Vil’gel’m Illich 8 Grundland, Alfred Michel 8 Hussin, Véronique 8 Schlotterer, Oliver 8 Skrypnyk, Taras Volodymyrovych 8 Vinet, Luc 8 Zabrodin, Anton V. 7 Falqui, Gregorio 7 Saint-Aubin, Yvan 7 Sämann, Christian 7 Wolf, Martin 7 Zeng, Yunbo 6 Adams, Malcolm R. 6 Beckers, Jules 6 Borot, Gaëtan 6 Chapuy, Guillaume 6 del Olmo, Mariano A. 6 Fedorov, Yuri N. 6 Its, Alexander Rudolfovich 6 Kac, Victor 6 Kuijlaars, Arno B. J. 6 Takasaki, Kanehisa 6 van de Leur, Johan W. 6 Zhou, Ruguang 6 Zotov, Andrei V. 5 Balogh, Ferenc N. 5 Barannyk, Leonid F. 5 Bielawski, Roger 5 Cafasso, Mattia 5 Chekhov, Leonid O. 5 Duits, Maurice 5 Gekhtman, Mikhaèl I. 5 Grava, Tamara 5 Korotkin, Dmitrii A. 5 Légaré, Martin 5 Marchal, Olivier 5 Miramontes, J. Luis 5 Pedroni, Marco 5 Popov, Alexander D. 5 Rodríguez, Miguel Angel 5 Runov, Boris A. 5 Sardón, Cristina 5 Valeri, Daniele 4 Antoine, Jean-Pierre 4 Bleher, Pavel M. 4 Bourget, Alain 4 De Sole, Alberto 4 Dubrovin, Boris Anatol’evich 4 Dunin-Barkovskiĭ, Petr Igorevich 4 Enolskiĭ, Viktor Zelikovich 4 Fedorchuk, Vasyl M. 4 Geng, Xianguo 4 Gorskiĭ, Aleksandr Sergeevich 4 Guha, Partha 4 Hollowood, Timothy J. 4 Kalnins, Ernest G. 4 Kramer, Reinier 4 Lewanski, Danilo 4 Li, Chuanzhong 4 Martínez-Finkelshtein, Andrei 4 Mason, Lionel J. 4 Mazzocco, Marta 4 Miller, Willard jun. 4 Mironov, Andrei D. 4 Mo, Man Yue 4 Morozov, Alexei Yurievich 4 Orantin, Nicolas 4 Rudolph, Gerd 4 Szmigielski, Jacek 4 Taghavi-Chabert, Arman 4 Tempesta, Piergiulio 4 Wang, Zhiyuan 4 Wisse, M.-A. 4 Yang, Chenglang 4 Yang, Di 3 Akemann, Gernot 3 Anas Hahn, Marvin 3 Arthamonov, Semeon 3 Barannyk, Anatoliy F. 3 Bernatska, Julia 3 Błaszak, Maciej 3 Boalch, Philip P. 3 Bychkov, Boris Sergeevich 3 Byun, Sung-Soo 3 Chen, Yang 3 Conte, Robert Maurice 3 Dołęga, Maciej 3 Domański, Ziemowit ...and 732 more Authors all top 5 Cited in 139 Serials 159 Journal of Mathematical Physics 77 Communications in Mathematical Physics 68 Journal of High Energy Physics 43 Journal of Geometry and Physics 41 Letters in Mathematical Physics 24 SIGMA. 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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 Proceedings of the Cambridge Philosophical Society 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 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 the London Mathematical Society. Second Series 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. 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English Series 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Probability Theory and Related Fields ...and 39 more Serials all top 5 Cited in 48 Fields 289 Dynamical systems and ergodic theory (37-XX) 268 Quantum theory (81-XX) 165 Partial differential equations (35-XX) 132 Differential geometry (53-XX) 120 Algebraic geometry (14-XX) 108 Ordinary differential equations (34-XX) 98 Nonassociative rings and algebras (17-XX) 73 Special functions (33-XX) 67 Global analysis, analysis on manifolds (58-XX) 65 Mechanics of particles and systems (70-XX) 62 Relativity and gravitational theory (83-XX) 59 Linear and multilinear algebra; matrix theory (15-XX) 59 Probability theory and stochastic processes (60-XX) 58 Statistical mechanics, structure of matter (82-XX) 57 Combinatorics (05-XX) 44 Topological groups, Lie groups (22-XX) 24 Several complex variables and analytic spaces (32-XX) 22 Functions of a complex variable (30-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 21 Operator theory (47-XX) 16 Manifolds and cell complexes (57-XX) 14 Number theory (11-XX) 13 Group theory and generalizations (20-XX) 12 Functional analysis (46-XX) 10 Difference and functional equations (39-XX) 9 Associative rings and algebras (16-XX) 9 Potential theory (31-XX) 8 Algebraic topology (55-XX) 7 Numerical analysis (65-XX) 6 Fluid mechanics (76-XX) 5 Approximations and expansions (41-XX) 4 Geometry (51-XX) 4 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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