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Gérard, Christian

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Author ID: gerard.christian Recent zbMATH articles by "Gérard, Christian"
Published as: Gerard, C.; Gérard, C.; Gérard, Christian
Homepage: http://www.math.u-psud.fr/~gerard/
External Links: MGP · ResearchGate
Documents Indexed: 93 Publications since 1983, including 5 Books

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 1,066 times in 637 Documents Cited by Year
Scattering theory of classical and quantum \(N\)-particle systems. Zbl 0899.47007
Dereziński, Jan; Gérard, Christian
99
1997
Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. Zbl 1044.81556
Dereziński, J.; Gérard, C.
91
1999
On the existence of ground states for massless Pauli-Fierz Hamiltonians. Zbl 1004.81012
Gérard, C.
49
2000
On the virial theorem in quantum mechanics. Zbl 0961.81009
Georgescu, V.; Gérard, C.
49
1999
Mathematics of quantization and quantum fields. Zbl 1271.81004
Dereziński, Jan; Gérard, Christian
43
2013
The Mourre theory for analytically fibered operators. Zbl 0939.47019
Gérard, Christian; Nier, Francis
40
1998
Semiclassical resonances generated by a closed trajectory of hyperbolic type. Zbl 0637.35027
Gérard, C.; Sjöstrand, J.
40
1987
Spectral theory of massless Pauli-Fierz models. Zbl 1091.81059
Georgescu, V.; Gérard, C.; Møller, J. S.
35
2004
Commutators, \(C_{0}\)-semigroups and resolvent estimates. Zbl 1073.47518
Georgescu, V.; Gérard, C.; Møller, J. S.
32
2004
A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057
Gerard, C.; Martinez, A.; Sjöstrand, J.
28
1991
A proof of the abstract limiting absorption principle by energy estimates. Zbl 1141.47017
Gérard, Christian
27
2008
Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians. Zbl 1082.81518
Dereziński, J.; Gérard, C.
27
2000
Principe d’absorption limite pour des opérateurs de Schrödinger à longue portée. (Limiting absorption principle for long range Schrödinger operators). Zbl 0672.35013
Gérard, Christian; Martinez, André
26
1988
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotics of the poles of the scattering matrix for two strictly convex obstacles). Zbl 0654.35081
Gérard, C.
25
1988
Construction of Hadamard states by pseudo-differential calculus. Zbl 1298.81214
Gérard, C.; Wrochna, M.
24
2014
Precise estimates for tunneling and eigenvalues near a potential barrier. Zbl 0668.34022
Gerard, C.; Grigis, A.
24
1988
On the scattering theory of massless Nelson models. Zbl 1039.81053
Gérard, C.
22
2002
Scattering theory of infrared divergent Pauli-Fierz Hamiltonians. Zbl 1060.81060
Dereziński, Jan; Gérard, Christian
21
2004
Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111
Gérard, Christian; Nier, Francis
20
1998
Hadamard states for the linearized Yang-Mills equation on curved spacetime. Zbl 1314.83025
Gérard, C.; Wrochna, M.
18
2015
Multiparticle quantum scattering in constant magnetic fields. Zbl 1044.81123
Gérard, Christian; Łaba, Izabella
18
2002
Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit. Zbl 0704.35114
Gérard, C.; Martinez, A.; Robert, D.
16
1989
Asymptotic completeness for the spin-boson model with a particle number cutoff. Zbl 0858.47040
Gérard, C.
15
1996
Sharp propagation estimates for \(N\)-particle systems. Zbl 0760.35049
Gérard, C.
15
1992
\(N\)-body resolvent estimates. Zbl 0851.35101
Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik
13
1996
Commutator algebra and resolvent estimates. Zbl 0814.35086
Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik
12
1994
Long-range scattering in the position representation. Zbl 0886.34072
Dereziński, J.; Gérard, C.
11
1997
Space-time picture of semiclassical resonances. Zbl 0755.35102
Gérard, C.; Sigal, I. M.
11
1992
The Mourre estimate for regular dispersive systems. Zbl 0724.35083
Gérard, C.
10
1991
Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée. (Meromorphic extension of the scattering matrix for long range two body problems). Zbl 0711.35097
Gérard, Christian; Martinez, André
10
1989
Resonance theory for periodic Schrödinger operators. Zbl 0723.35059
Gérard, Christian
9
1990
Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069
Gerard, C.; Martinez, A.
9
1989
Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents). Zbl 0698.35118
Gérard, C.; Sjöstrand, J.
9
1988
Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry. Zbl 1364.35362
Gérard, Christian; Oulghazi, Omar; Wrochna, Michał
8
2017
Construction of Hadamard states by characteristic Cauchy problem. Zbl 1334.83020
Gérard, Christian; Wrochna, Michał
8
2016
Asymptotic completeness for 3-particle long-range systems. Zbl 0812.70006
Gérard, C.
8
1993
Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric. Zbl 1456.35122
Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich
7
2017
Generalized definition of time delay in scattering theory. Zbl 1153.81365
Gérard, Christian; Tiedra de Aldecoa, Rafael
7
2007
On the adiabatic limit of Hadamard states. Zbl 1374.81068
Drago, Nicolò; Gérard, Christian
6
2017
A criterion for asymptotic completeness in local relativistic QFT. Zbl 1309.81125
Dybalski, Wojciech; Gérard, Christian
6
2014
Boundary values of resolvents of selfadjoint operators in Krein spaces. Zbl 1310.47055
Georgescu, V.; Gérard, C.; Häfner, D.
6
2013
Infrared problem for the Nelson model on static space-times. Zbl 1269.83036
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
6
2011
Scattering theory for \(N\)-particle systems in constant magnetic fields. Zbl 0828.35098
Gérard, C.; Łaba, I.
6
1994
A remark on asymptotic clustering for \(N\)-particle quantum systems. Zbl 0784.47055
Derezinski, J.; Gérard, C.
6
1992
Resonance theory in atom-surface scattering. Zbl 0682.47003
Gerard, C.
6
1989
Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes. Zbl 1373.81365
Gérard, Christian; Wrochna, Michał
5
2017
Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy. Zbl 1326.35212
Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich
5
2015
Removal of UV cutoff for the Nelson model with variable coefficients. Zbl 1257.81053
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
5
2012
Absence of ground state for the Nelson model on static space-times. Zbl 1238.81161
Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A.
5
2012
Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors. Zbl 1209.81149
Gérard, Christian; Møller, Jacob Schach; Rasmussen, Morten Grud
5
2011
Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold. Zbl 1180.81098
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
5
2009
The massive Feynman propagator on asymptotically Minkowski spacetimes. Zbl 1450.83003
Gérard, Christian; Wrochna, Michał
4
2019
Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces. Zbl 1414.58002
Gérard, Christian; Wrochna, Michał
4
2019
Scattering theory for Klein-Gordon equations with non-positive energy. Zbl 1253.81049
Gérard, Christian
4
2012
Spectral and scattering theory for some abstract QFT Hamiltonians. Zbl 1166.81326
Gérard, C.; Panati, A.
4
2009
Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054
Gérard, C.; Knauf, A.
4
1991
Towards asymptotic completeness of two-particle scattering in local relativistic QFT. Zbl 1288.81067
Dybalski, Wojciech; Gérard, Christian
3
2014
Positive energy quantization of linear dynamics. Zbl 1214.81279
Dereziński, Jan; Gérard, Christian
3
2010
Scattering theory for 3-particle systems in constant magnetic fields: dispersive case. Zbl 0853.35098
Gérard, Christian; Łaba, Izabella
3
1996
Scattering theory for \(N\)-particle systems in constant magnetic fields. II: Long-range interactions. Zbl 0842.35069
Gérard, C.; Łaba, I.
3
1995
Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35095
Gérard, C.
3
1990
Propagation de la polarisation pour des problèmes aux limites convexes pour les bicaractéristiques. (Propagation of the polarization for convex boundary value problems for the bicharacteristics). Zbl 0593.58037
Gerard, C.
3
1985
Microlocal analysis of quantum fields on curved spacetimes. Zbl 1444.35008
Gérard, Christian
2
2019
On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons. Zbl 1438.81021
Gérard, Christian
2
2019
Hawking effect for a toy model of interacting fermions. Zbl 1314.83028
Bouvier, Patrick; Gérard, Christian
2
2015
Spectral and scattering theory for space-cutoff \(P(\varphi )_{2}\) models with variable metric. Zbl 1165.81033
Gérard, Christian; Panati, Annalisa
2
2008
Thermal quantum fields without cut-offs in \(1+1\) space-time dimensions. Zbl 1078.81055
Gérard, Christian; Jäkel, Christian D.
2
2005
Thermal quantum fields with spatially cutoff interactions in 1+1 space–time dimensions. Zbl 1071.81080
Gérard, Christian; Jäkel, Christian D.
2
2005
Distortion analyticity for \(N\)-particle Hamiltonians. Zbl 0826.35102
Gérard, C.
2
1993
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotic properties of poles of the scattering matrix for two strictly convex obstacles). Zbl 0622.35054
Gerard, C.
2
1986
Existence and absence of ground states for a particle interacting through the quantized scalar field on a static spacetime. Zbl 1228.81216
Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A.
1
2010
Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35096
Gérard, Christian
1
1989
Asymptotique semi-classique de la fonction spectrale pour des opérateurs de Schrödinger à longue portée. (Semiclassical asymptotics of the spectral function for long range Schrödinger operators). Zbl 0648.35061
Gérard, C.; Martinez, A.
1
1987
Réflexion du front d’onde polarisé des solutions de systèmes d’équations aux dérivées partielles. (Reflection of polarization set of solutions to systems of partial differential equations). Zbl 0555.35012
Gérard, Christian
1
1983
The massive Feynman propagator on asymptotically Minkowski spacetimes. Zbl 1450.83003
Gérard, Christian; Wrochna, Michał
4
2019
Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces. Zbl 1414.58002
Gérard, Christian; Wrochna, Michał
4
2019
Microlocal analysis of quantum fields on curved spacetimes. Zbl 1444.35008
Gérard, Christian
2
2019
On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons. Zbl 1438.81021
Gérard, Christian
2
2019
Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry. Zbl 1364.35362
Gérard, Christian; Oulghazi, Omar; Wrochna, Michał
8
2017
Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric. Zbl 1456.35122
Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich
7
2017
On the adiabatic limit of Hadamard states. Zbl 1374.81068
Drago, Nicolò; Gérard, Christian
6
2017
Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes. Zbl 1373.81365
Gérard, Christian; Wrochna, Michał
5
2017
Construction of Hadamard states by characteristic Cauchy problem. Zbl 1334.83020
Gérard, Christian; Wrochna, Michał
8
2016
Hadamard states for the linearized Yang-Mills equation on curved spacetime. Zbl 1314.83025
Gérard, C.; Wrochna, M.
18
2015
Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy. Zbl 1326.35212
Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich
5
2015
Hawking effect for a toy model of interacting fermions. Zbl 1314.83028
Bouvier, Patrick; Gérard, Christian
2
2015
Construction of Hadamard states by pseudo-differential calculus. Zbl 1298.81214
Gérard, C.; Wrochna, M.
24
2014
A criterion for asymptotic completeness in local relativistic QFT. Zbl 1309.81125
Dybalski, Wojciech; Gérard, Christian
6
2014
Towards asymptotic completeness of two-particle scattering in local relativistic QFT. Zbl 1288.81067
Dybalski, Wojciech; Gérard, Christian
3
2014
Mathematics of quantization and quantum fields. Zbl 1271.81004
Dereziński, Jan; Gérard, Christian
43
2013
Boundary values of resolvents of selfadjoint operators in Krein spaces. Zbl 1310.47055
Georgescu, V.; Gérard, C.; Häfner, D.
6
2013
Removal of UV cutoff for the Nelson model with variable coefficients. Zbl 1257.81053
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
5
2012
Absence of ground state for the Nelson model on static space-times. Zbl 1238.81161
Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A.
5
2012
Scattering theory for Klein-Gordon equations with non-positive energy. Zbl 1253.81049
Gérard, Christian
4
2012
Infrared problem for the Nelson model on static space-times. Zbl 1269.83036
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
6
2011
Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors. Zbl 1209.81149
Gérard, Christian; Møller, Jacob Schach; Rasmussen, Morten Grud
5
2011
Positive energy quantization of linear dynamics. Zbl 1214.81279
Dereziński, Jan; Gérard, Christian
3
2010
Existence and absence of ground states for a particle interacting through the quantized scalar field on a static spacetime. Zbl 1228.81216
Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A.
1
2010
Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold. Zbl 1180.81098
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
5
2009
Spectral and scattering theory for some abstract QFT Hamiltonians. Zbl 1166.81326
Gérard, C.; Panati, A.
4
2009
A proof of the abstract limiting absorption principle by energy estimates. Zbl 1141.47017
Gérard, Christian
27
2008
Spectral and scattering theory for space-cutoff \(P(\varphi )_{2}\) models with variable metric. Zbl 1165.81033
Gérard, Christian; Panati, Annalisa
2
2008
Generalized definition of time delay in scattering theory. Zbl 1153.81365
Gérard, Christian; Tiedra de Aldecoa, Rafael
7
2007
Thermal quantum fields without cut-offs in \(1+1\) space-time dimensions. Zbl 1078.81055
Gérard, Christian; Jäkel, Christian D.
2
2005
Thermal quantum fields with spatially cutoff interactions in 1+1 space–time dimensions. Zbl 1071.81080
Gérard, Christian; Jäkel, Christian D.
2
2005
Spectral theory of massless Pauli-Fierz models. Zbl 1091.81059
Georgescu, V.; Gérard, C.; Møller, J. S.
35
2004
Commutators, \(C_{0}\)-semigroups and resolvent estimates. Zbl 1073.47518
Georgescu, V.; Gérard, C.; Møller, J. S.
32
2004
Scattering theory of infrared divergent Pauli-Fierz Hamiltonians. Zbl 1060.81060
Dereziński, Jan; Gérard, Christian
21
2004
On the scattering theory of massless Nelson models. Zbl 1039.81053
Gérard, C.
22
2002
Multiparticle quantum scattering in constant magnetic fields. Zbl 1044.81123
Gérard, Christian; Łaba, Izabella
18
2002
On the existence of ground states for massless Pauli-Fierz Hamiltonians. Zbl 1004.81012
Gérard, C.
49
2000
Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians. Zbl 1082.81518
Dereziński, J.; Gérard, C.
27
2000
Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. Zbl 1044.81556
Dereziński, J.; Gérard, C.
91
1999
On the virial theorem in quantum mechanics. Zbl 0961.81009
Georgescu, V.; Gérard, C.
49
1999
The Mourre theory for analytically fibered operators. Zbl 0939.47019
Gérard, Christian; Nier, Francis
40
1998
Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111
Gérard, Christian; Nier, Francis
20
1998
Scattering theory of classical and quantum \(N\)-particle systems. Zbl 0899.47007
Dereziński, Jan; Gérard, Christian
99
1997
Long-range scattering in the position representation. Zbl 0886.34072
Dereziński, J.; Gérard, C.
11
1997
Asymptotic completeness for the spin-boson model with a particle number cutoff. Zbl 0858.47040
Gérard, C.
15
1996
\(N\)-body resolvent estimates. Zbl 0851.35101
Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik
13
1996
Scattering theory for 3-particle systems in constant magnetic fields: dispersive case. Zbl 0853.35098
Gérard, Christian; Łaba, Izabella
3
1996
Scattering theory for \(N\)-particle systems in constant magnetic fields. II: Long-range interactions. Zbl 0842.35069
Gérard, C.; Łaba, I.
3
1995
Commutator algebra and resolvent estimates. Zbl 0814.35086
Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik
12
1994
Scattering theory for \(N\)-particle systems in constant magnetic fields. Zbl 0828.35098
Gérard, C.; Łaba, I.
6
1994
Asymptotic completeness for 3-particle long-range systems. Zbl 0812.70006
Gérard, C.
8
1993
Distortion analyticity for \(N\)-particle Hamiltonians. Zbl 0826.35102
Gérard, C.
2
1993
Sharp propagation estimates for \(N\)-particle systems. Zbl 0760.35049
Gérard, C.
15
1992
Space-time picture of semiclassical resonances. Zbl 0755.35102
Gérard, C.; Sigal, I. M.
11
1992
A remark on asymptotic clustering for \(N\)-particle quantum systems. Zbl 0784.47055
Derezinski, J.; Gérard, C.
6
1992
A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057
Gerard, C.; Martinez, A.; Sjöstrand, J.
28
1991
The Mourre estimate for regular dispersive systems. Zbl 0724.35083
Gérard, C.
10
1991
Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054
Gérard, C.; Knauf, A.
4
1991
Resonance theory for periodic Schrödinger operators. Zbl 0723.35059
Gérard, Christian
9
1990
Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35095
Gérard, C.
3
1990
Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit. Zbl 0704.35114
Gérard, C.; Martinez, A.; Robert, D.
16
1989
Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée. (Meromorphic extension of the scattering matrix for long range two body problems). Zbl 0711.35097
Gérard, Christian; Martinez, André
10
1989
Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069
Gerard, C.; Martinez, A.
9
1989
Resonance theory in atom-surface scattering. Zbl 0682.47003
Gerard, C.
6
1989
Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35096
Gérard, Christian
1
1989
Principe d’absorption limite pour des opérateurs de Schrödinger à longue portée. (Limiting absorption principle for long range Schrödinger operators). Zbl 0672.35013
Gérard, Christian; Martinez, André
26
1988
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotics of the poles of the scattering matrix for two strictly convex obstacles). Zbl 0654.35081
Gérard, C.
25
1988
Precise estimates for tunneling and eigenvalues near a potential barrier. Zbl 0668.34022
Gerard, C.; Grigis, A.
24
1988
Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents). Zbl 0698.35118
Gérard, C.; Sjöstrand, J.
9
1988
Semiclassical resonances generated by a closed trajectory of hyperbolic type. Zbl 0637.35027
Gérard, C.; Sjöstrand, J.
40
1987
Asymptotique semi-classique de la fonction spectrale pour des opérateurs de Schrödinger à longue portée. (Semiclassical asymptotics of the spectral function for long range Schrödinger operators). Zbl 0648.35061
Gérard, C.; Martinez, A.
1
1987
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotic properties of poles of the scattering matrix for two strictly convex obstacles). Zbl 0622.35054
Gerard, C.
2
1986
Propagation de la polarisation pour des problèmes aux limites convexes pour les bicaractéristiques. (Propagation of the polarization for convex boundary value problems for the bicharacteristics). Zbl 0593.58037
Gerard, C.
3
1985
Réflexion du front d’onde polarisé des solutions de systèmes d’équations aux dérivées partielles. (Reflection of polarization set of solutions to systems of partial differential equations). Zbl 0555.35012
Gérard, Christian
1
1983
all top 5

Cited by 502 Authors

39 Gérard, Christian
17 Vasy, András
15 Dereziński, Jan
15 Dybalski, Wojciech
15 Hiroshima, Fumio
14 Faupin, Jérémy
14 Sigal, Israel Michael
13 Bony, Jean-François
12 Schach Møller, Jacob
12 Skibsted, Erik
12 Soffer, Avraham
11 Adachi, Tadayoshi
11 Dimassi, Mouez
11 Fröhlich, Jürg Martin
11 Guillot, Jean-Claude
11 Häfner, Dietrich
11 Martinez, André
11 Wrochna, Michał
10 Georgescu, Vladimir
10 Sjöstrand, Johannes
10 Tiedra de Aldecoa, Rafael
9 Amour, Laurent
9 Fujiié, Setsuro
9 Griesemer, Marcel
9 Ramond, Thierry
9 Zworski, Maciej
8 Bruneau, Vincent
8 Golénia, Sylvain
8 Lewin, Mathieu
8 Nakamura, Shu
7 Burq, Nicolas
7 Klein, Markus
7 Nier, Francis
7 Petkov, Vesselin M.
7 Richard, Serge
7 Takaesu, Toshimitsu
7 Zerzeri, Maher
6 Arai, Asao
6 Dappiaggi, Claudio
6 Deckert, Dirk-André
6 Drago, Nicolò
6 Drouot, Alexis
6 Herbst, Ira W.
6 Isozaki, Hiroshi
6 Lörinczi, József
6 Murro, Simone
6 Nourrigat, Jean Francois
6 Panati, Annalisa
6 Robert, Didier
6 Rougerie, Nicolas
5 Carles, Rémi
5 Cornean, Horia D.
5 Falconi, Marco
5 Fournais, Søren
5 Hassell, Andrew
5 Hirokawa, Masao
5 Niikuni, Hiroaki
5 Nonnenmacher, Stéphane
5 Phan Thành Nam
5 Pizzo, Alessandro
5 Popoff, Nicolas
5 Tamura, Hideo
4 Ammari, Zied
4 Bach, Volker
4 Ballesteros, Miguel
4 Barbaroux, Jean-Marie
4 Bourget, Olivier
4 De Roeck, Wojciech
4 Dyatlov, Semyon
4 Grébert, Benoît
4 Hasler, David G.
4 Kuchment, Peter A.
4 Michel, Laurent
4 Møller, Jacob S.
4 Nistor, Victor
4 Pillet, Claude-Alain
4 Purice, Radu
4 Raikov, Georgi D.
4 Rosenberger, Elke
4 Schlein, Benjamin
4 Soccorsi, Eric
4 Spohn, Herbert
4 Suzuki, Akito
4 Vodev, Georgi
4 Wang, Xueping
4 Zielinski, Lech
3 Astaburuaga, María Angélica
3 Bouclet, Jean-Marc
3 Bruneau, Laurent
3 Cortés, Víctor H.
3 Dam, Thomas Norman
3 Daudé, Thierry
3 Ducomet, Bernard
3 Farhy, Leon S.
3 Hänle, Felix
3 Hislop, Peter D.
3 Iftimie, Viorel
3 Jager, Lisette
3 Jäkel, Christian D.
3 Jakšić, Vojkan
...and 402 more Authors
all top 5

Cited in 108 Serials

68 Journal of Functional Analysis
63 Communications in Mathematical Physics
63 Journal of Mathematical Physics
58 Annales Henri Poincaré
39 Reviews in Mathematical Physics
24 Communications in Partial Differential Equations
21 Annales de l’Institut Henri Poincaré. Physique Théorique
18 Journal of Mathematical Analysis and Applications
18 Letters in Mathematical Physics
16 Duke Mathematical Journal
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Advances in Mathematics
12 Annales de l’Institut Fourier
8 Journal of Differential Equations
7 Reports on Mathematical Physics
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Transactions of the American Mathematical Society
6 Journal of Statistical Physics
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Bulletin de la Société Mathématique de France
5 Inventiones Mathematicae
5 Mathematical Physics, Analysis and Geometry
5 Journal of Spectral Theory
4 Integral Equations and Operator Theory
4 Mathematische Zeitschrift
4 SIAM Journal on Mathematical Analysis
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 Journal of the European Mathematical Society (JEMS)
3 Archive for Rational Mechanics and Analysis
3 Acta Mathematica
3 Mathematische Nachrichten
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 St. Petersburg Mathematical Journal
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Regular and Chaotic Dynamics
3 Pure and Applied Analysis
2 Journal d’Analyse Mathématique
2 Nuclear Physics. B
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Arkiv för Matematik
2 Journal of the Mathematical Society of Japan
2 Memoirs of the American Mathematical Society
2 Nagoya Mathematical Journal
2 Tokyo Journal of Mathematics
2 Annals of Global Analysis and Geometry
2 Journal of the American Mathematical Society
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Documenta Mathematica
2 Advances in Mathematical Physics
2 Kyoto Journal of Mathematics
2 Analysis and Mathematical Physics
2 Bulletin of Mathematical Sciences
2 Séminaire Laurent Schwartz. EDP et Applications
2 Tunisian Journal of Mathematics
1 Communications on Pure and Applied Mathematics
1 General Relativity and Gravitation
1 International Journal of Theoretical Physics
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Wave Motion
1 Journal of Geometry and Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Approximation Theory
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Semigroup Forum
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Bulletin of the American Mathematical Society. New Series
1 Potential Analysis
1 Calculus of Variations and Partial Differential Equations
1 Bulletin des Sciences Mathématiques
1 Opuscula Mathematica
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Annals of Mathematics. Second Series
1 Qualitative Theory of Dynamical Systems
1 Nonlinear Analysis. Real World Applications
1 Journal of Evolution Equations
1 Portugaliae Mathematica. Nova Série
1 Journal of Applied Mathematics and Computing
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Hyperbolic Differential Equations
...and 8 more Serials
all top 5

Cited in 43 Fields

470 Quantum theory (81-XX)
347 Partial differential equations (35-XX)
189 Operator theory (47-XX)
60 Global analysis, analysis on manifolds (58-XX)
60 Statistical mechanics, structure of matter (82-XX)
47 Functional analysis (46-XX)
40 Relativity and gravitational theory (83-XX)
33 Ordinary differential equations (34-XX)
22 Mechanics of particles and systems (70-XX)
20 Dynamical systems and ergodic theory (37-XX)
16 Differential geometry (53-XX)
15 Optics, electromagnetic theory (78-XX)
11 Probability theory and stochastic processes (60-XX)
9 Difference and functional equations (39-XX)
8 Functions of a complex variable (30-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
6 Combinatorics (05-XX)
5 Measure and integration (28-XX)
5 Mechanics of deformable solids (74-XX)
4 Topological groups, Lie groups (22-XX)
3 \(K\)-theory (19-XX)
3 Approximations and expansions (41-XX)
3 Numerical analysis (65-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Real functions (26-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Statistics (62-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Fluid mechanics (76-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year