Edit Profile Gérard, Christian Compute Distance To: Compute Author ID: gerard.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 all top 5 Co-Authors 35 single-authored 8 Dereziński, Jan 8 Wrochna, Michał 7 Panati, Annalisa 6 Georgescu, Vladimir 6 Martinez, André 5 Hiroshima, Fumio 5 Suzuki, Akito 4 Łaba, Izabella 3 Häfner, Dietrich 3 Jäkel, Christian D. 3 Sjöstrand, Johannes 2 Dybalski, Wojciech 2 Isozaki, Hiroshi 2 Møller, Jacob S. 2 Nier, Francis 2 Robert, Didier 2 Skibsted, Erik 1 Bouvier, Patrick 1 Drago, Nicolò 1 Grigis, Alain 1 Knauf, Andreas 1 Oulghazi, Omar 1 Rasmussen, Morten Grud 1 Schach Møller, Jacob 1 Sigal, Israel Michael 1 Tiedra de Aldecoa, Rafael all top 5 Serials 17 Communications in Mathematical Physics 7 Journal of Functional Analysis 6 Annales Henri Poincaré 5 Reviews in Mathematical Physics 5 Séminaire Équations aux Dérivées Partielles 4 Letters in Mathematical Physics 3 Communications in Partial Differential Equations 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Journal of Mathematical Physics 2 Duke Mathematical Journal 2 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Helvetica Physica Acta 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of Mathematics of Kyoto University 1 Journal of the Mathematical Society of Japan 1 IMRN. International Mathematics Research Notices 1 Interdisciplinary Information Sciences (IIS) 1 Journal of the European Mathematical Society (JEMS) 1 Mathematical Surveys and Monographs 1 RIMS Kôkyûroku Bessatsu 1 Analysis & PDE 1 Journal of Spectral Theory 1 Cambridge Monographs on Mathematical Physics 1 ESI Lectures in Mathematics and Physics 1 Texts and Monographs in Physics all top 5 Fields 74 Quantum theory (81-XX) 54 Partial differential equations (35-XX) 31 Operator theory (47-XX) 9 Relativity and gravitational theory (83-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications 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 0899.47007Dereziński, Jan; Gérard, Christian 99 1997 Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. Zbl 1044.81556Dereziński, J.; Gérard, C. 91 1999 On the existence of ground states for massless Pauli-Fierz Hamiltonians. Zbl 1004.81012Gérard, C. 49 2000 On the virial theorem in quantum mechanics. Zbl 0961.81009Georgescu, V.; Gérard, C. 49 1999 Mathematics of quantization and quantum fields. Zbl 1271.81004Dereziński, Jan; Gérard, Christian 43 2013 The Mourre theory for analytically fibered operators. Zbl 0939.47019Gérard, Christian; Nier, Francis 40 1998 Semiclassical resonances generated by a closed trajectory of hyperbolic type. Zbl 0637.35027Gérard, C.; Sjöstrand, J. 40 1987 Spectral theory of massless Pauli-Fierz models. Zbl 1091.81059Georgescu, V.; Gérard, C.; Møller, J. S. 35 2004 Commutators, \(C_{0}\)-semigroups and resolvent estimates. Zbl 1073.47518Georgescu, V.; Gérard, C.; Møller, J. S. 32 2004 A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057Gerard, C.; Martinez, A.; Sjöstrand, J. 28 1991 A proof of the abstract limiting absorption principle by energy estimates. Zbl 1141.47017Gérard, Christian 27 2008 Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians. Zbl 1082.81518Dereziński, 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 0672.35013Gérard, 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 0654.35081Gérard, C. 25 1988 Construction of Hadamard states by pseudo-differential calculus. Zbl 1298.81214Gérard, C.; Wrochna, M. 24 2014 Precise estimates for tunneling and eigenvalues near a potential barrier. Zbl 0668.34022Gerard, C.; Grigis, A. 24 1988 On the scattering theory of massless Nelson models. Zbl 1039.81053Gérard, C. 22 2002 Scattering theory of infrared divergent Pauli-Fierz Hamiltonians. Zbl 1060.81060Dereziński, Jan; Gérard, Christian 21 2004 Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111Gérard, Christian; Nier, Francis 20 1998 Hadamard states for the linearized Yang-Mills equation on curved spacetime. Zbl 1314.83025Gérard, C.; Wrochna, M. 18 2015 Multiparticle quantum scattering in constant magnetic fields. Zbl 1044.81123Gérard, Christian; Łaba, Izabella 18 2002 Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit. Zbl 0704.35114Gérard, C.; Martinez, A.; Robert, D. 16 1989 Asymptotic completeness for the spin-boson model with a particle number cutoff. Zbl 0858.47040Gérard, C. 15 1996 Sharp propagation estimates for \(N\)-particle systems. Zbl 0760.35049Gérard, C. 15 1992 \(N\)-body resolvent estimates. Zbl 0851.35101Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 13 1996 Commutator algebra and resolvent estimates. Zbl 0814.35086Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 12 1994 Long-range scattering in the position representation. Zbl 0886.34072Dereziński, J.; Gérard, C. 11 1997 Space-time picture of semiclassical resonances. Zbl 0755.35102Gérard, C.; Sigal, I. M. 11 1992 The Mourre estimate for regular dispersive systems. Zbl 0724.35083Gérard, 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 0711.35097Gérard, Christian; Martinez, André 10 1989 Resonance theory for periodic Schrödinger operators. Zbl 0723.35059Gérard, Christian 9 1990 Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069Gerard, C.; Martinez, A. 9 1989 Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents). Zbl 0698.35118Gérard, C.; Sjöstrand, J. 9 1988 Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry. Zbl 1364.35362Gérard, Christian; Oulghazi, Omar; Wrochna, Michał 8 2017 Construction of Hadamard states by characteristic Cauchy problem. Zbl 1334.83020Gérard, Christian; Wrochna, Michał 8 2016 Asymptotic completeness for 3-particle long-range systems. Zbl 0812.70006Gérard, C. 8 1993 Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric. Zbl 1456.35122Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich 7 2017 Generalized definition of time delay in scattering theory. Zbl 1153.81365Gérard, Christian; Tiedra de Aldecoa, Rafael 7 2007 On the adiabatic limit of Hadamard states. Zbl 1374.81068Drago, Nicolò; Gérard, Christian 6 2017 A criterion for asymptotic completeness in local relativistic QFT. Zbl 1309.81125Dybalski, Wojciech; Gérard, Christian 6 2014 Boundary values of resolvents of selfadjoint operators in Krein spaces. Zbl 1310.47055Georgescu, V.; Gérard, C.; Häfner, D. 6 2013 Infrared problem for the Nelson model on static space-times. Zbl 1269.83036Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 6 2011 Scattering theory for \(N\)-particle systems in constant magnetic fields. Zbl 0828.35098Gérard, C.; Łaba, I. 6 1994 A remark on asymptotic clustering for \(N\)-particle quantum systems. Zbl 0784.47055Derezinski, J.; Gérard, C. 6 1992 Resonance theory in atom-surface scattering. Zbl 0682.47003Gerard, C. 6 1989 Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes. Zbl 1373.81365Gérard, Christian; Wrochna, Michał 5 2017 Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy. Zbl 1326.35212Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich 5 2015 Removal of UV cutoff for the Nelson model with variable coefficients. Zbl 1257.81053Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 5 2012 Absence of ground state for the Nelson model on static space-times. Zbl 1238.81161Gérard, 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 1209.81149Gérard, Christian; Møller, Jacob Schach; Rasmussen, Morten Grud 5 2011 Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold. Zbl 1180.81098Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 5 2009 The massive Feynman propagator on asymptotically Minkowski spacetimes. Zbl 1450.83003Gérard, Christian; Wrochna, Michał 4 2019 Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces. Zbl 1414.58002Gérard, Christian; Wrochna, Michał 4 2019 Scattering theory for Klein-Gordon equations with non-positive energy. Zbl 1253.81049Gérard, Christian 4 2012 Spectral and scattering theory for some abstract QFT Hamiltonians. Zbl 1166.81326Gérard, C.; Panati, A. 4 2009 Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054Gérard, C.; Knauf, A. 4 1991 Towards asymptotic completeness of two-particle scattering in local relativistic QFT. Zbl 1288.81067Dybalski, Wojciech; Gérard, Christian 3 2014 Positive energy quantization of linear dynamics. Zbl 1214.81279Dereziński, Jan; Gérard, Christian 3 2010 Scattering theory for 3-particle systems in constant magnetic fields: dispersive case. Zbl 0853.35098Gérard, Christian; Łaba, Izabella 3 1996 Scattering theory for \(N\)-particle systems in constant magnetic fields. II: Long-range interactions. Zbl 0842.35069Gérard, C.; Łaba, I. 3 1995 Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35095Gérard, 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 0593.58037Gerard, C. 3 1985 Microlocal analysis of quantum fields on curved spacetimes. Zbl 1444.35008Gérard, Christian 2 2019 On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons. Zbl 1438.81021Gérard, Christian 2 2019 Hawking effect for a toy model of interacting fermions. Zbl 1314.83028Bouvier, Patrick; Gérard, Christian 2 2015 Spectral and scattering theory for space-cutoff \(P(\varphi )_{2}\) models with variable metric. Zbl 1165.81033Gérard, Christian; Panati, Annalisa 2 2008 Thermal quantum fields without cut-offs in \(1+1\) space-time dimensions. Zbl 1078.81055Gérard, Christian; Jäkel, Christian D. 2 2005 Thermal quantum fields with spatially cutoff interactions in 1+1 space–time dimensions. Zbl 1071.81080Gérard, Christian; Jäkel, Christian D. 2 2005 Distortion analyticity for \(N\)-particle Hamiltonians. Zbl 0826.35102Gérard, 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 0622.35054Gerard, C. 2 1986 Existence and absence of ground states for a particle interacting through the quantized scalar field on a static spacetime. Zbl 1228.81216Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A. 1 2010 Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35096Gérard, 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 0648.35061Gérard, 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 0555.35012Gérard, Christian 1 1983 The massive Feynman propagator on asymptotically Minkowski spacetimes. Zbl 1450.83003Gérard, Christian; Wrochna, Michał 4 2019 Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces. Zbl 1414.58002Gérard, Christian; Wrochna, Michał 4 2019 Microlocal analysis of quantum fields on curved spacetimes. Zbl 1444.35008Gérard, Christian 2 2019 On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons. Zbl 1438.81021Gérard, Christian 2 2019 Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry. Zbl 1364.35362Gérard, Christian; Oulghazi, Omar; Wrochna, Michał 8 2017 Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric. Zbl 1456.35122Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich 7 2017 On the adiabatic limit of Hadamard states. Zbl 1374.81068Drago, Nicolò; Gérard, Christian 6 2017 Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes. Zbl 1373.81365Gérard, Christian; Wrochna, Michał 5 2017 Construction of Hadamard states by characteristic Cauchy problem. Zbl 1334.83020Gérard, Christian; Wrochna, Michał 8 2016 Hadamard states for the linearized Yang-Mills equation on curved spacetime. Zbl 1314.83025Gérard, C.; Wrochna, M. 18 2015 Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy. Zbl 1326.35212Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich 5 2015 Hawking effect for a toy model of interacting fermions. Zbl 1314.83028Bouvier, Patrick; Gérard, Christian 2 2015 Construction of Hadamard states by pseudo-differential calculus. Zbl 1298.81214Gérard, C.; Wrochna, M. 24 2014 A criterion for asymptotic completeness in local relativistic QFT. Zbl 1309.81125Dybalski, Wojciech; Gérard, Christian 6 2014 Towards asymptotic completeness of two-particle scattering in local relativistic QFT. Zbl 1288.81067Dybalski, Wojciech; Gérard, Christian 3 2014 Mathematics of quantization and quantum fields. Zbl 1271.81004Dereziński, Jan; Gérard, Christian 43 2013 Boundary values of resolvents of selfadjoint operators in Krein spaces. Zbl 1310.47055Georgescu, V.; Gérard, C.; Häfner, D. 6 2013 Removal of UV cutoff for the Nelson model with variable coefficients. Zbl 1257.81053Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 5 2012 Absence of ground state for the Nelson model on static space-times. Zbl 1238.81161Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A. 5 2012 Scattering theory for Klein-Gordon equations with non-positive energy. Zbl 1253.81049Gérard, Christian 4 2012 Infrared problem for the Nelson model on static space-times. Zbl 1269.83036Gérard, 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 1209.81149Gérard, Christian; Møller, Jacob Schach; Rasmussen, Morten Grud 5 2011 Positive energy quantization of linear dynamics. Zbl 1214.81279Dereziński, 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 1228.81216Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A. 1 2010 Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold. Zbl 1180.81098Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 5 2009 Spectral and scattering theory for some abstract QFT Hamiltonians. Zbl 1166.81326Gérard, C.; Panati, A. 4 2009 A proof of the abstract limiting absorption principle by energy estimates. Zbl 1141.47017Gérard, Christian 27 2008 Spectral and scattering theory for space-cutoff \(P(\varphi )_{2}\) models with variable metric. Zbl 1165.81033Gérard, Christian; Panati, Annalisa 2 2008 Generalized definition of time delay in scattering theory. Zbl 1153.81365Gérard, Christian; Tiedra de Aldecoa, Rafael 7 2007 Thermal quantum fields without cut-offs in \(1+1\) space-time dimensions. Zbl 1078.81055Gérard, Christian; Jäkel, Christian D. 2 2005 Thermal quantum fields with spatially cutoff interactions in 1+1 space–time dimensions. Zbl 1071.81080Gérard, Christian; Jäkel, Christian D. 2 2005 Spectral theory of massless Pauli-Fierz models. Zbl 1091.81059Georgescu, V.; Gérard, C.; Møller, J. S. 35 2004 Commutators, \(C_{0}\)-semigroups and resolvent estimates. Zbl 1073.47518Georgescu, V.; Gérard, C.; Møller, J. S. 32 2004 Scattering theory of infrared divergent Pauli-Fierz Hamiltonians. Zbl 1060.81060Dereziński, Jan; Gérard, Christian 21 2004 On the scattering theory of massless Nelson models. Zbl 1039.81053Gérard, C. 22 2002 Multiparticle quantum scattering in constant magnetic fields. Zbl 1044.81123Gérard, Christian; Łaba, Izabella 18 2002 On the existence of ground states for massless Pauli-Fierz Hamiltonians. Zbl 1004.81012Gérard, C. 49 2000 Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians. Zbl 1082.81518Dereziński, J.; Gérard, C. 27 2000 Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. Zbl 1044.81556Dereziński, J.; Gérard, C. 91 1999 On the virial theorem in quantum mechanics. Zbl 0961.81009Georgescu, V.; Gérard, C. 49 1999 The Mourre theory for analytically fibered operators. Zbl 0939.47019Gérard, Christian; Nier, Francis 40 1998 Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111Gérard, Christian; Nier, Francis 20 1998 Scattering theory of classical and quantum \(N\)-particle systems. Zbl 0899.47007Dereziński, Jan; Gérard, Christian 99 1997 Long-range scattering in the position representation. Zbl 0886.34072Dereziński, J.; Gérard, C. 11 1997 Asymptotic completeness for the spin-boson model with a particle number cutoff. Zbl 0858.47040Gérard, C. 15 1996 \(N\)-body resolvent estimates. Zbl 0851.35101Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 13 1996 Scattering theory for 3-particle systems in constant magnetic fields: dispersive case. Zbl 0853.35098Gérard, Christian; Łaba, Izabella 3 1996 Scattering theory for \(N\)-particle systems in constant magnetic fields. II: Long-range interactions. Zbl 0842.35069Gérard, C.; Łaba, I. 3 1995 Commutator algebra and resolvent estimates. Zbl 0814.35086Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 12 1994 Scattering theory for \(N\)-particle systems in constant magnetic fields. Zbl 0828.35098Gérard, C.; Łaba, I. 6 1994 Asymptotic completeness for 3-particle long-range systems. Zbl 0812.70006Gérard, C. 8 1993 Distortion analyticity for \(N\)-particle Hamiltonians. Zbl 0826.35102Gérard, C. 2 1993 Sharp propagation estimates for \(N\)-particle systems. Zbl 0760.35049Gérard, C. 15 1992 Space-time picture of semiclassical resonances. Zbl 0755.35102Gérard, C.; Sigal, I. M. 11 1992 A remark on asymptotic clustering for \(N\)-particle quantum systems. Zbl 0784.47055Derezinski, J.; Gérard, C. 6 1992 A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057Gerard, C.; Martinez, A.; Sjöstrand, J. 28 1991 The Mourre estimate for regular dispersive systems. Zbl 0724.35083Gérard, C. 10 1991 Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054Gérard, C.; Knauf, A. 4 1991 Resonance theory for periodic Schrödinger operators. Zbl 0723.35059Gérard, Christian 9 1990 Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35095Gérard, C. 3 1990 Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit. Zbl 0704.35114Gérard, 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 0711.35097Gérard, Christian; Martinez, André 10 1989 Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069Gerard, C.; Martinez, A. 9 1989 Resonance theory in atom-surface scattering. Zbl 0682.47003Gerard, C. 6 1989 Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35096Gérard, Christian 1 1989 Principe d’absorption limite pour des opérateurs de Schrödinger à longue portée. (Limiting absorption principle for long range Schrödinger operators). Zbl 0672.35013Gérard, 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 0654.35081Gérard, C. 25 1988 Precise estimates for tunneling and eigenvalues near a potential barrier. Zbl 0668.34022Gerard, C.; Grigis, A. 24 1988 Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents). Zbl 0698.35118Gérard, C.; Sjöstrand, J. 9 1988 Semiclassical resonances generated by a closed trajectory of hyperbolic type. Zbl 0637.35027Gérard, 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 0648.35061Gérard, 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 0622.35054Gerard, 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 0593.58037Gerard, 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 0555.35012Gérard, Christian 1 1983 all cited Publications top 5 cited Publications 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