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Author ID: harnad.john Recent zbMATH articles by "Harnad, John"
Published as: Harnad, J.; Harnad, John; Harnad, J. P.; Harnad, J
Homepage: http://www.crm.umontreal.ca/~harnad/
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Publications by Year

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 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
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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. Symmetry, Integrability and Geometry: Methods and Applications
22 Journal of Physics A: Mathematical and Theoretical
20 Theoretical and Mathematical Physics
16 Nuclear Physics. B
16 Physica D
13 Journal of Nonlinear Mathematical Physics
11 Advances in Mathematics
10 Ukrainian Mathematical Journal
10 Annales Henri Poincaré
9 Journal of Mathematical Analysis and Applications
9 Journal of Approximation Theory
9 Studies in Applied Mathematics
7 Physics Letters. A
6 Journal of Statistical Physics
6 Fortschritte der Physik
6 Random Matrices: Theory and Applications
5 Linear Algebra and its Applications
5 Mathematical Physics, Analysis and Geometry
4 Nonlinearity
4 Applied Mathematics and Computation
4 Selecta Mathematica. New Series
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 Reviews in Mathematical Physics
3 Duke Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Journal of Computational and Applied Mathematics
3 Journal of Differential Equations
3 Mathematische Annalen
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Constructive Approximation
3 Differential Geometry and its Applications
3 Indagationes Mathematicae. New Series
3 Journal of Mathematical Sciences (New York)
3 Regular and Chaotic Dynamics
2 Modern Physics Letters A
2 Discrete Mathematics
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. B
2 Reports on Mathematical Physics
2 Annales de l’Institut Fourier
2 Compositio Mathematica
2 Journal of Functional Analysis
2 Journal of Number Theory
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 International Journal of Mathematics
2 SIAM Journal on Mathematical Analysis
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Nonlinear Science
2 Bulletin des Sciences Mathématiques
2 Integral Transforms and Special Functions
2 Discrete and Continuous Dynamical Systems
2 Séminaire Lotharingien de Combinatoire
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 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. Series II
1 Transactions of the Moscow Mathematical Society
1 Topology and its Applications
1 European Journal of Combinatorics
1 Advances in Mathematics (Beijing)
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 Graphs and Combinatorics
1 Journal of Symbolic Computation
1 Probability Theory and Related Fields
...and 39 more Serials
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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

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