# zbMATH — the first resource for mathematics

Compute Distance To:
 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)

#### 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 0659.58022
1988
Group actions on principal bundles and invariance conditions for gauge fields. Zbl 0454.55010
Harnad, J.; Shnider, S.; Vinet, Luc
1980
Darboux coordinates and Liouville-Arnold integration in loop algebras. Zbl 0791.58047
1993
Constraints and field equations for ten dimensional super Yang-Mills theory. Zbl 0601.53071
1986
Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows. Zbl 0717.58051
1990
Dual isomonodromic deformations and moment maps to loop algebras. Zbl 0822.58018
1994
Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces. Zbl 0532.58036
Harnad, J.; Saint-Aubin, Yvan; Shnider, S.
1984
Superposition principles for matrix Riccati equations. Zbl 0556.34015
Harnad, J.; Winternitz, P.; Anderson, R. L.
1983
Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015
Bertola, M.; Eynard, B.; Harnad, J.
2002
Dual moment maps into loop algebras. Zbl 0721.58025
1990
Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082
2002
Hypergeometric $$\tau$$-functions, Hurwitz numbers and enumeration of paths. Zbl 1347.33035
2015
Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306
Bertola, M.; Eynard, B.; Harnad, J.
2006
Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions. Zbl 1148.82012
2006
2D Toda $$\tau$$-functions as combinatorial generating functions. Zbl 1347.05245
2015
Symmetry reduction for nonlinear relativistically invariant equations. Zbl 0599.70026
Grundland, A. M.; Harnad, J.; Winternitz, P.
1984
The soliton correlation matrix and the reduction problem for integrable systems. Zbl 0549.58025
Harnad, J.; Saint-Aubin, Yvan; Shnider, S.
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.
2003
Systems of ordinary differential equations with nonlinear superposition principles. Zbl 1194.34013
Anderson, R. L.; Harnad, J.; Winternitz, P.
1982
Generalized Drinfeld-Sokolov reductions and KdV type hierarchies. Zbl 0773.35068
Fehér, L.; Harnad, J.; Marshall, I.
1993
Generating functions for weighted Hurwitz numbers. Zbl 1369.05013
2017
Classical and quantum integrable systems in $$\widetilde{\mathfrak gl}(2)^{+*}$$ and separation of variables. Zbl 0842.58046
1995
Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032
Bertola, M.; Eynard, B.; Harnad, J.
2003
Group theoretical approach to superposition rules for systems of Riccati equations. Zbl 0474.34011
Anderson, R. L.; Harnad, J.; Winternitz, P.
1981
Tensor fields invariant under subgroups of the conformal group of space- time. Zbl 0419.53013
Beckers, J.; Harnad, J.; Perroud, M.; Winternitz, P.
1978
Group actions on principal bundles and dimensional reduction. Zbl 0451.58013
Harnad, J.; Shnider, S.; Tafel, J.
1980
Abelian integrals and the reduction method for an integrable Hamiltonian system. Zbl 0597.70020
Gagnon, L.; Harnad, J.; Winternitz, P.; Hurtubise, J.
1985
Weighted Hurwitz numbers and hypergeometric $$\tau$$-functions: an overview. Zbl 1358.33004
2016
The Yang-Mills system in compactified Minkowski space; invariance conditions and SU(2) invariant solutions. Zbl 0424.58022
Harnad, J.; Shnider, S.; Vinet, Luc
1979
Canonical connections on Riemannian symmetric spaces and solutions to the Einstein-Yang-Mills equations. Zbl 0445.53032
Harnad, J.; Tafel, J.; Shnider, S.
1980
Fermionic approach to weighted Hurwitz numbers and topological recursion. Zbl 1436.14060
Alexandrov, A.; Chapuy, Guillaume; Eynard, B.; Harnad, J.
2018
Schur function expansions of KP $$\tau$$-functions associated to algebraic curves. Zbl 1231.14025
2011
Modular solutions to equations of generalized Halphen type. Zbl 0956.11012
2000
Weighted Hurwitz numbers and topological recursion: an overview. Zbl 1401.14147
Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J.
2018
Scalar products of symmetric functions and matrix integrals. Zbl 1178.82027
2003
Supersymmetric Yang-Mills equations and supertwistors. Zbl 0701.53097
Harnad, J.; Hurtubise, J.; Shnider, S.
1989
Quantum Hurwitz numbers and Macdonald polynomials. Zbl 1357.33008
2016
Quantum isomonodromic deformations and the Knizhnik-Zamolodchikov equations. Zbl 0860.35123
1996
Symplectic geometries on $$T^*\widetilde {G}$$, Hamiltonian group actions and integrable systems. Zbl 0829.53027
1995
Isotropic geometry and twistors in higher dimensions. II: Odd dimensions, reality conditions, and twistor superspaces. Zbl 0823.32015
1995
Multispecies weighted Hurwitz numbers. Zbl 1329.05014
2015
Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16–21, 2002. Zbl 1055.37004
Tempesta, P. (ed.); Winternitz, P. (ed.); Harnad, J. (ed.); Miller, W. jun. (ed.); Pogosyan, G. (ed.); Rodriguez, M. (ed.)
2004
Duality of spectral curves arising in two-matrix models. Zbl 1068.81044
Bertola, M.; Eynard, B.; Harnad, J.
2003
The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Zbl 0885.00050
Harnad, John (ed.); Kasman, Alex (ed.)
1998
Isotropic geometry and twistors in higher dimensions. I: The generalized Klein correspondence and spinor flags in even dimensions. Zbl 0764.32009
1992
Weighted Hurwitz numbers and topological recursion. Zbl 07188554
Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J.
2020
Symmetric polynomials, generalized Jacobi-Trudi identities and $$\tau$$-functions. Zbl 1397.05198
2018
Convolution symmetries of integrable hierarchies, matrix models and $$\tau$$-functions. Zbl 1328.37053
2014
Hamiltonian structure of equations appearing in random matrices. Zbl 0938.82510
Harnad, J.; Tracy, C. A.; Widom, H.
1993
Multi-Hamiltonian structures for $$r$$-matrix systems. Zbl 1152.81465
2008
Harmonics on hyperspheres, separation of variables and the Bethe ansatz. Zbl 0838.58017
1995
Quadratic pseudopotentials for Gl(N,$${\mathbb{C}})$$ principal sigma models. Zbl 0584.58016
Harnad, J.; Saint-Aubin, Yvan; Shnider, S.
1984
Multi-soliton solutions to the Thirring model through the reduction method. Zbl 0539.35071
David, D.; Harnad, J.; Shnider, S.
1984
Spinor fields invariant under space-time transformations. Zbl 0449.22015
Beckers, J.; Harnad, J.; Jasselette, P.
1980
Fermionic construction of tau functions and random processes. Zbl 1183.82032
2007
Janossy densities, multimatrix spacing distributions and Fredholm resolvents. Zbl 1077.45008
2004
Picard-Fuchs equations, Hauptmoduls and integrable systems. Zbl 0973.34075
2000
Darboux coordinates on coadjoint orbits of Lie algebras. Zbl 0879.58029
1997
Loop algebra moment maps and Hamiltonian models for the Painlevé transcendants. Zbl 0871.58049
1996
Isospectral flow in loop algebras and quasiperiodic solutions of the sine-Gordon equation. Zbl 0780.35100
1993
Super loop groups, Hamiltonian actions and super Virasoro algebras. Zbl 0709.17020
1990
Rationally weighted Hurwitz numbers, Meijer $$G$$-functions and matrix integrals. Zbl 1429.81029
2019
Superharmonic perturbations of a Gaussian measure, equilibrium measures and orthogonal polynomials. Zbl 1195.31003
2009
Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy. Zbl 1128.37041
2007
Constrained Hamiltonian systems on Lie groups, moment map reductions, and central extensions. Zbl 0991.37538
1994
Matrix nonlinear Schrödinger equations and moment maps into loop algebras. Zbl 0767.58013
1992
Coadjoint orbits, spectral curves and Darboux coordinates. Zbl 0739.58014
1991
Formal power series solutions of supersymmetric $$(N=3)$$ Yang-Mills equations. Zbl 0605.58013
1986
Asymptotics of quantum weighted Hurwitz numbers. Zbl 1397.82048
2018
On the bilinear equations for Fredholm determinants appearing in random matrices. Zbl 1183.47044
2002
Two-dimensional Krall-Sheffer polynomials and integrable systems. Zbl 0995.33009
Harnad, John; Vinet, Luc; Yermolayeva, Oksana; Zhedanov, Alexei
2001
$$R$$-matrix construction of electromagnetic models for the Painlevé transcendents. Zbl 0844.58028
1995
Isospectral flow and Liouville-Arnold integration on loop algebras. Zbl 0801.35121
1993
Twisted Diff $$S^ 1$$-action on loop groups and representations of the Virasoro algebra. Zbl 0704.58017
1990
Integrable Hamiltonian systems on rational coadjoint orbits of loop algebras. Zbl 0761.58022
1990
Bilinear expansions of lattices of KP $$\tau$$-functions in BKP $$\tau$$-functions: a fermionic approach. Zbl 1456.81304
2021
Generating weighted Hurwitz numbers. Zbl 1441.14118
Bertola, M.; Harnad, J.; Runov, B.
2020
Finite dimensional Kadomtsev-Petviashvili $$\tau$$-functions. I: Finite Grassmannians. Zbl 1300.37043
Balogh, F.; Fonseca, T.; Harnad, J.
2014
Random matrices, random processes and integrable systems. Zbl 1215.15002
2011
Constrained reductions of two-dimensional dispersionless Toda hierarchy, Hamiltonian structure, and interface dynamics. Zbl 1111.37054
Harnad, J.; Loutsenko, I.; Yermolayeva, O.
2005
Loop groups, $$R$$-matrices and separation of variables. Zbl 0967.37043
2000
Generalized tops and moment maps to loop algebras. Zbl 0733.70012
1991
Proceedings of the CRM workshop on Hamiltonian systems, transformation groups and spectral transform methods, Montréal, Canada, October 20-26, 1989. Zbl 0726.00014
Harnad, J. (ed.); Marsden, J. E. (ed.)
1990
Pseudopotentials and Lie symmetries for the generalized nonlinear Schrödinger equation. Zbl 0519.35023
1982
Groups and symmetries. From Neolithic Scots to John McKay. Selected papers of the conference, Montreal, Canada, April 27–29, 2007. Zbl 1167.20300
Harnad, John (ed.); Winternitz, Pavel (ed.)
2009
Superintegrability, Lax matrices and separation of variables. Zbl 1071.35106
2004
Virasoro generators and bilinear equations for isomonodromic tau functions. Zbl 1001.37068
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 0952.00031
Harnad, J. (ed.); Sabidussi, G. (ed.); Winternitz, P. (ed.)
2000
Modular invariants and generalized Halphen systems. Zbl 0969.34075
2000
A generating function proof of the commutativity of certain Hamiltonian isospectral flows. Zbl 0676.58048
1988
The supersymmetric soliton correlation matrix. Zbl 0603.22009
1985
Symmetry reduction for nonlinear wave equations in Riemannian and pseudo- Riemannian spaces. Zbl 0568.58036
Grundland, A. M.; Harnad, J.; Winternitz, P.
1984
Soliton solutions to Zakharov-Shabat systems by the reduction method. Zbl 0558.35062
Harnad, J.; Saint-Aubin, Yvan; Shnider, S.
1984
Superposition principles for nonlinear differential equations. Zbl 0485.34008
Anderson, R. L.; Harnad, J.; Winternitz, P.
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 0425.00029
Harnad, J. P. (ed.); Shnider, S. (ed.)
1980
Bilinear expansions of lattices of KP $$\tau$$-functions in BKP $$\tau$$-functions: a fermionic approach. Zbl 1456.81304
2021
Weighted Hurwitz numbers and topological recursion. Zbl 07188554
Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J.
2020
Generating weighted Hurwitz numbers. Zbl 1441.14118
Bertola, M.; Harnad, J.; Runov, B.
2020
Rationally weighted Hurwitz numbers, Meijer $$G$$-functions and matrix integrals. Zbl 1429.81029
2019
Fermionic approach to weighted Hurwitz numbers and topological recursion. Zbl 1436.14060
Alexandrov, A.; Chapuy, Guillaume; Eynard, B.; Harnad, J.
2018
Weighted Hurwitz numbers and topological recursion: an overview. Zbl 1401.14147
Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J.
2018
Symmetric polynomials, generalized Jacobi-Trudi identities and $$\tau$$-functions. Zbl 1397.05198
2018
Asymptotics of quantum weighted Hurwitz numbers. Zbl 1397.82048
2018
Generating functions for weighted Hurwitz numbers. Zbl 1369.05013
2017
Weighted Hurwitz numbers and hypergeometric $$\tau$$-functions: an overview. Zbl 1358.33004
2016
Quantum Hurwitz numbers and Macdonald polynomials. Zbl 1357.33008
2016
Hypergeometric $$\tau$$-functions, Hurwitz numbers and enumeration of paths. Zbl 1347.33035
2015
2D Toda $$\tau$$-functions as combinatorial generating functions. Zbl 1347.05245
2015
Multispecies weighted Hurwitz numbers. Zbl 1329.05014
2015
Convolution symmetries of integrable hierarchies, matrix models and $$\tau$$-functions. Zbl 1328.37053
2014
Finite dimensional Kadomtsev-Petviashvili $$\tau$$-functions. I: Finite Grassmannians. Zbl 1300.37043
Balogh, F.; Fonseca, T.; Harnad, J.
2014
Schur function expansions of KP $$\tau$$-functions associated to algebraic curves. Zbl 1231.14025
2011
Random matrices, random processes and integrable systems. Zbl 1215.15002
2011
Superharmonic perturbations of a Gaussian measure, equilibrium measures and orthogonal polynomials. Zbl 1195.31003
2009
Groups and symmetries. From Neolithic Scots to John McKay. Selected papers of the conference, Montreal, Canada, April 27–29, 2007. Zbl 1167.20300
Harnad, John (ed.); Winternitz, Pavel (ed.)
2009
Multi-Hamiltonian structures for $$r$$-matrix systems. Zbl 1152.81465
2008
Fermionic construction of tau functions and random processes. Zbl 1183.82032
2007
Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy. Zbl 1128.37041
2007
Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. Zbl 1131.82306
Bertola, M.; Eynard, B.; Harnad, J.
2006
Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions. Zbl 1148.82012
2006
Constrained reductions of two-dimensional dispersionless Toda hierarchy, Hamiltonian structure, and interface dynamics. Zbl 1111.37054
Harnad, J.; Loutsenko, I.; Yermolayeva, O.
2005
Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16–21, 2002. Zbl 1055.37004
Tempesta, P. (ed.); Winternitz, P. (ed.); Harnad, J. (ed.); Miller, W. jun. (ed.); Pogosyan, G. (ed.); Rodriguez, M. (ed.)
2004
Janossy densities, multimatrix spacing distributions and Fredholm resolvents. Zbl 1077.45008
2004
Superintegrability, Lax matrices and separation of variables. Zbl 1071.35106
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.
2003
Partition functions for matrix models and isomonodromic tau functions. Zbl 1050.37032
Bertola, M.; Eynard, B.; Harnad, J.
2003
Scalar products of symmetric functions and matrix integrals. Zbl 1178.82027
2003
Duality of spectral curves arising in two-matrix models. Zbl 1068.81044
Bertola, M.; Eynard, B.; Harnad, J.
2003
Duality, biorthogonal polynomials and multi-matrix models. Zbl 1033.15015
Bertola, M.; Eynard, B.; Harnad, J.
2002
Integrable Fredholm operators and dual isomonodromic deformations. Zbl 1008.34082
2002
On the bilinear equations for Fredholm determinants appearing in random matrices. Zbl 1183.47044
2002
Virasoro generators and bilinear equations for isomonodromic tau functions. Zbl 1001.37068
2002
Two-dimensional Krall-Sheffer polynomials and integrable systems. Zbl 0995.33009
Harnad, John; Vinet, Luc; Yermolayeva, Oksana; Zhedanov, Alexei
2001
Modular solutions to equations of generalized Halphen type. Zbl 0956.11012
2000
Picard-Fuchs equations, Hauptmoduls and integrable systems. Zbl 0973.34075
2000
Loop groups, $$R$$-matrices and separation of variables. Zbl 0967.37043
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
Harnad, J. (ed.); Sabidussi, G. (ed.); Winternitz, P. (ed.)
2000
Modular invariants and generalized Halphen systems. Zbl 0969.34075
2000
The bispectral problem. Proceedings of the CRM workshop, Montréal, Canada, March 1997. Zbl 0885.00050
Harnad, John (ed.); Kasman, Alex (ed.)
1998
Darboux coordinates on coadjoint orbits of Lie algebras. Zbl 0879.58029
1997
Quantum isomonodromic deformations and the Knizhnik-Zamolodchikov equations. Zbl 0860.35123
1996
Loop algebra moment maps and Hamiltonian models for the Painlevé transcendants. Zbl 0871.58049
1996
Classical and quantum integrable systems in $$\widetilde{\mathfrak gl}(2)^{+*}$$ and separation of variables. Zbl 0842.58046
1995
Symplectic geometries on $$T^*\widetilde {G}$$, Hamiltonian group actions and integrable systems. Zbl 0829.53027
1995
Isotropic geometry and twistors in higher dimensions. II: Odd dimensions, reality conditions, and twistor superspaces. Zbl 0823.32015
1995
Harmonics on hyperspheres, separation of variables and the Bethe ansatz. Zbl 0838.58017
1995
$$R$$-matrix construction of electromagnetic models for the Painlevé transcendents. Zbl 0844.58028
1995
Dual isomonodromic deformations and moment maps to loop algebras. Zbl 0822.58018
1994
Constrained Hamiltonian systems on Lie groups, moment map reductions, and central extensions. Zbl 0991.37538
1994
Darboux coordinates and Liouville-Arnold integration in loop algebras. Zbl 0791.58047
1993
Generalized Drinfeld-Sokolov reductions and KdV type hierarchies. Zbl 0773.35068
Fehér, L.; Harnad, J.; Marshall, I.
1993
Hamiltonian structure of equations appearing in random matrices. Zbl 0938.82510
Harnad, J.; Tracy, C. A.; Widom, H.
1993
Isospectral flow in loop algebras and quasiperiodic solutions of the sine-Gordon equation. Zbl 0780.35100
1993
Isospectral flow and Liouville-Arnold integration on loop algebras. Zbl 0801.35121
1993
Isotropic geometry and twistors in higher dimensions. I: The generalized Klein correspondence and spinor flags in even dimensions. Zbl 0764.32009
1992
Matrix nonlinear Schrödinger equations and moment maps into loop algebras. Zbl 0767.58013
1992
Coadjoint orbits, spectral curves and Darboux coordinates. Zbl 0739.58014
1991
Generalized tops and moment maps to loop algebras. Zbl 0733.70012
1991
Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows. Zbl 0717.58051
1990
Dual moment maps into loop algebras. Zbl 0721.58025
1990
Super loop groups, Hamiltonian actions and super Virasoro algebras. Zbl 0709.17020
1990
Twisted Diff $$S^ 1$$-action on loop groups and representations of the Virasoro algebra. Zbl 0704.58017
1990
Integrable Hamiltonian systems on rational coadjoint orbits of loop algebras. Zbl 0761.58022
1990
Proceedings of the CRM workshop on Hamiltonian systems, transformation groups and spectral transform methods, Montréal, Canada, October 20-26, 1989. Zbl 0726.00014
Harnad, J. (ed.); Marsden, J. E. (ed.)
1990
Supersymmetric Yang-Mills equations and supertwistors. Zbl 0701.53097
Harnad, J.; Hurtubise, J.; Shnider, S.
1989
Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras. Zbl 0659.58022
1988
A generating function proof of the commutativity of certain Hamiltonian isospectral flows. Zbl 0676.58048
1988
Constraints and field equations for ten dimensional super Yang-Mills theory. Zbl 0601.53071
1986
Formal power series solutions of supersymmetric $$(N=3)$$ Yang-Mills equations. Zbl 0605.58013
1986
Abelian integrals and the reduction method for an integrable Hamiltonian system. Zbl 0597.70020
Gagnon, L.; Harnad, J.; Winternitz, P.; Hurtubise, J.
1985
The supersymmetric soliton correlation matrix. Zbl 0603.22009
1985
Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces. Zbl 0532.58036
Harnad, J.; Saint-Aubin, Yvan; Shnider, S.
1984
Symmetry reduction for nonlinear relativistically invariant equations. Zbl 0599.70026
Grundland, A. M.; Harnad, J.; Winternitz, P.
1984
The soliton correlation matrix and the reduction problem for integrable systems. Zbl 0549.58025
Harnad, J.; Saint-Aubin, Yvan; Shnider, S.
1984
Quadratic pseudopotentials for Gl(N,$${\mathbb{C}})$$ principal sigma models. Zbl 0584.58016
Harnad, J.; Saint-Aubin, Yvan; Shnider, S.
1984
Multi-soliton solutions to the Thirring model through the reduction method. Zbl 0539.35071
David, D.; Harnad, J.; Shnider, S.
1984
Symmetry reduction for nonlinear wave equations in Riemannian and pseudo- Riemannian spaces. Zbl 0568.58036
Grundland, A. M.; Harnad, J.; Winternitz, P.
1984
Soliton solutions to Zakharov-Shabat systems by the reduction method. Zbl 0558.35062
Harnad, J.; Saint-Aubin, Yvan; Shnider, S.
1984
Superposition principles for matrix Riccati equations. Zbl 0556.34015
Harnad, J.; Winternitz, P.; Anderson, R. L.
1983
Systems of ordinary differential equations with nonlinear superposition principles. Zbl 1194.34013
Anderson, R. L.; Harnad, J.; Winternitz, P.
1982
Pseudopotentials and Lie symmetries for the generalized nonlinear Schrödinger equation. Zbl 0519.35023
1982
Group theoretical approach to superposition rules for systems of Riccati equations. Zbl 0474.34011
Anderson, R. L.; Harnad, J.; Winternitz, P.
1981
Superposition principles for nonlinear differential equations. Zbl 0485.34008
Anderson, R. L.; Harnad, J.; Winternitz, P.
1981
Group actions on principal bundles and invariance conditions for gauge fields. Zbl 0454.55010
Harnad, J.; Shnider, S.; Vinet, Luc
1980
Group actions on principal bundles and dimensional reduction. Zbl 0451.58013
Harnad, J.; Shnider, S.; Tafel, J.
1980
Canonical connections on Riemannian symmetric spaces and solutions to the Einstein-Yang-Mills equations. Zbl 0445.53032
Harnad, J.; Tafel, J.; Shnider, S.
1980
Spinor fields invariant under space-time transformations. Zbl 0449.22015
Beckers, J.; Harnad, J.; Jasselette, P.
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 0425.00029
Harnad, J. P. (ed.); Shnider, S. (ed.)
1980
The Yang-Mills system in compactified Minkowski space; invariance conditions and SU(2) invariant solutions. Zbl 0424.58022
Harnad, J.; Shnider, S.; Vinet, Luc
1979
Tensor fields invariant under subgroups of the conformal group of space- time. Zbl 0419.53013
Beckers, J.; Harnad, J.; Perroud, M.; Winternitz, P.
1978
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#### 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. Series A 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Indagationes Mathematicae. New Series 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Nonlinear Science 2 Bulletin des Sciences Mathématiques 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Living Reviews in Relativity 2 Physical Review D. Series III 2 Complex Analysis and Operator Theory 2 Proceedings of the Royal Society of London. A. 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
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#### 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)

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