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## Sjöstrand, Johannes

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 Author ID: sjostrand.johannes Published as: Sjoestrand, J.; Sjoestrand, Johannes; Sjostrand, J.; Sjöstrand, J.; Sjöstrand, Johannes Homepage: http://sjostrand.perso.math.cnrs.fr/ External Links: MGP · Wikidata · GND
 Documents Indexed: 218 Publications since 1970, including 6 Books
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#### Co-Authors

 85 single-authored 28 Helffer, Bernard 17 Hitrik, Michael 14 Zworski, Maciej 7 Melin, Anders 5 Hérau, Frédéric 5 Vögel, Martin 4 Baouendi, Mohammed Salah 4 Menikoff, A. 4 Uhlmann, Gunther Alberto 3 Caliceti, Emanuela 3 Demuth, Michael 3 Gérard, Christian 3 Graffi, Sandro 3 Grigis, Alain 3 Kenig, Carlos Eduardo 3 Lascar, Bernard 3 Melrose, Richard Burt 3 Ramond, Thierry 3 Schrohe, Elmar 3 Schulze, Bert-Wolfgang 3 Vũ Ngọc, San 2 Berman, Robert J. 2 Boussekkine, Naima 2 Coburn, Lewis A. 2 Dimassi, Mouez 2 Dos Santos Ferreira, David 2 Duistermaat, Johannes Jisse 2 Faure, Frédéric 2 Iantchenko, Alexai 2 Kashiwara, Masaki 2 Kawai, Takahiro 2 Martinez, André 2 Mecherout, Nawal 2 Nonnenmacher, Stéphane 2 Presilla, Carlo 2 Wang, Wei-Min 1 Andersson, Mats 1 Atiyah, Michael Francis 1 Avetisyan, Zhirayr G. 1 Bach, Volker 1 Benbernou, Amina Lahmar 1 Berndtsson, Bo 1 Bony, Jean-François 1 Bordeaux Montrieux, William 1 Boutet de Monvel, Louis 1 Cushman, Richard H. 1 Dencker, Nils 1 Guillemin, Victor W. 1 Hager, Mildred 1 Hall, Michael A. 1 Hanges, Nicholas 1 Heckman, Gert 1 Jecko, Thierry 1 Jona-Lasinio, Giovanni 1 Kahane, Jean-Pierre 1 Kerdelhué, Philippe 1 Kolk, Johan A. C. 1 Lévy-Leblond, Jean-Marc 1 Nirenberg, Louis 1 Pelayo, Alvaro 1 Ramm, Alexander G. 1 Rauch, Jeffrey B. 1 Rouby, Ophélie 1 Roy, Nicolas David 1 Schapira, Pierre 1 Sjamaar, Reyer 1 Stolk, Christiaan C. 1 Van den Ban, Erik Peter 1 Vassiliev, Dmitri G. 1 Viola, Joe 1 Vodev, Georgi 1 Weinstein, Alan David 1 White, Francis
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#### Serials

 12 Communications in Partial Differential Equations 10 Séminaire Équations aux Dérivées Partielles 7 Communications in Mathematical Physics 7 Mémoires de la Société Mathématique de France. Nouvelle Série 5 Arkiv för Matematik 5 Annales de l’Institut Fourier 5 Duke Mathematical Journal 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Mathematical Research Letters 4 Mathematische Annalen 4 Mathematische Nachrichten 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Annales Henri Poincaré 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Communications on Pure and Applied Mathematics 3 Journal d’Analyse Mathématique 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Functional Analysis 3 Annals of Mathematics. Second Series 3 Mathematical Topics 3 Analysis & PDE 2 Helvetica Physica Acta 2 Acta Mathematica 2 American Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Canadian Journal of Mathematics 2 Asymptotic Analysis 2 IMRN. International Mathematics Research Notices 2 Comptes Rendus de l’Académie des Sciences. Série I 2 St. Petersburg Mathematical Journal 2 London Mathematical Society Lecture Note Series 2 Journal of Physics A: Mathematical and Theoretical 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Cahiers Mathématiques 1 Journal of the American Mathematical Society 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Methods and Applications of Analysis 1 Serdica Mathematical Journal 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 RIMS Kôkyûroku Bessatsu 1 Pseudo Differential Operators. Theory and Applications 1 The Open Mathematics Journal 1 Journal of Pseudo-Differential Operators and Applications 1 Journal of Spectral Theory 1 Pure and Applied Analysis
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#### Fields

 189 Partial differential equations (35-XX) 61 Quantum theory (81-XX) 60 Operator theory (47-XX) 44 Global analysis, analysis on manifolds (58-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Ordinary differential equations (34-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Differential geometry (53-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Optics, electromagnetic theory (78-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

180 Publications have been cited 3,457 times in 1,945 Documents Cited by Year
Spectral asymptotics in the semi-classical limit. Zbl 0926.35002
Dimassi, Mouez; Sjöstrand, Johannes
1999
Multiple wells in the semi-classical limit. I. Zbl 0546.35053
Helffer, B.; Sjöstrand, J.
1984
Sur la singularite des noyaux de Bergman et de Szegö. Zbl 0344.32010
Boutet de Monvel, L.; Sjöstrand, J.
1976
The Calderón problem with partial data. Zbl 1127.35079
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2007
Singularities of boundary value problems. I. Zbl 0368.35020
Melrose, R. B.; Sjöstrand, J.
1978
Singularites analytiques microlocales. Zbl 0524.35007
Sjoestrand, Johannes
1982
Equation de Schrödinger avec champ magnétique et équation de Harper. (The Schrödinger equation with magnetic field and the Harper equation). Zbl 0699.35189
Helffer, B.; Sjöstrand, J.
1989
An algebra of pseudodifferential operators. Zbl 0840.35130
Sjöstrand, Johannes
1994
Complex scaling and the distribution of scattering poles. Zbl 0752.35046
Sjöstrand, Johannes; Zworski, Maciej
1991
Parametrices for pseudodifferential operators with multiple characteristics. Zbl 0317.35076
Sjöstrand, Johannes
1974
Microlocal analysis for differential operators. An introduction. Zbl 0804.35001
Grigis, Alain; Sjöstrand, Johannes
1994
Résonances en limite semi-classique. (Resonances in semi-classical limit). Zbl 0631.35075
Helffer, B.; Sjöstrand, J.
1986
Singularities of boundary value problems. II. Zbl 0546.35083
Melrose, R. B.; Sjöstrand, J.
1982
Determining a magnetic Schrödinger operator from partial Cauchy data. Zbl 1148.35096
dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2007
Puits multiples en mécanique semi-classique. IV: Étude du complexe de Witten. (Multiple wells in semi-classical limit. IV: Investigation of the Witten complex). Zbl 0597.35024
Helffer, B.; Sjöstrand, J.
1985
Analyse semi-classique pour l’équation de Harper (avec application à l’équation de Schrödinger avec champ magnétique). (Semiclassical analysis for the Harper equation (with application to the magnetic Schrödinger equation)). Zbl 0714.34130
Helffer, B.; Sjöstrand, J.
1988
Puits multiples en limite semi-classique. II: Interaction moléculaire. Symétries. Perturbation. (Multiple wells in the semi-classical limit. II: Molecular interaction. Symmetry. Perturbation). Zbl 0595.35031
Helffer, B.; Sjöstrand, J.
1985
A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001
Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes
2008
Fourier integral operators with complex-valued phase functions. Zbl 0306.42007
Melin, Anders; Sjöstrand, Johannes
1975
Semi-classical analysis for Harper’s equation. III: Cantor structure of the spectrum. Zbl 0725.34099
Helffer, B.; Sjöstrand, J.
1989
On the correlation for Kac-like models in the convex case. Zbl 0946.35508
Helffer, Bernard; Sjöstrand, Johannes
1994
Geometric bounds on the density of resonances for semiclassical problems. Zbl 0702.35188
Sjöstrand, Johannes
1990
Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035
Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej
2004
Semiclassical resonances generated by a closed trajectory of hyperbolic type. Zbl 0637.35027
Gérard, C.; Sjöstrand, J.
1987
Wiener type algebras of pseudodifferential operators. Zbl 0880.35145
Sjöstrand, J.
1995
On the eigenvalues of a class of hypoelliptic operators. Zbl 0375.35014
Menikoff, A.; Sjöstrand, J.
1978
An inverse problem for the wave equation. Zbl 0697.35164
Ramm, A. G.; Sjöstrand, J.
1991
Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem. Zbl 0364.35049
Melin, Anders; Sjöstrand, Johannes
1976
Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189
Sjöstrand, Johannes; Zworski, Maciej
2007
Analytic wavefront sets and operators with multiple characteristics. Zbl 0531.35022
Sjöstrand, Johannes
1983
Upper bound on the density of Ruelle resonances for Anosov flows. Zbl 1260.37016
Faure, Frédéric; Sjöstrand, Johannes
2011
Elementary linear algebra for advanced spectral problems. Zbl 1140.15009
Sjöstrand, Johannes; Zworski, Maciej
2007
Multiple wells in the semi-classical limit. III: Interaction through non- resonant wells. Zbl 0597.35023
Helffer, B.; Sjöstrand, J.
1985
Front d’onde analytique et sommes de carrés de champs de vecteurs. Zbl 0581.35009
Grigis, A.; Sjöstrand, J.
1985
Resonances for bottles and trace formulae. Zbl 0979.35109
Sjöstrand, Johannes
2001
A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057
Gerard, C.; Martinez, A.; Sjöstrand, J.
1991
Analyse semi-classique pour l’équation de Harper. II: Comportement semi-classique près d’un rationnel. (Semiclassical analysis for the Harper equation. II. Semiclassical behaviour near a rational number). Zbl 0714.34131
Helffer, B.; Sjöstrand, J.
1990
Lower bounds on the number of scattering poles. II. Zbl 0823.35137
Sjöstrand, Johannes; Zworski, Maciej
1994
Microlocal analysis for the periodic magnetic Schrödinger equation and related questions. Zbl 0761.35090
Sjöstrand, Johannes
1991
On diamagnetism and de Haas-van Alphen effect. Zbl 0715.35070
Helffer, B.; Sjöstrand, J.
1990
A trace formula and review of some estimates for resonances. Zbl 0877.35090
Sjöstrand, J.
1997
Lower bounds on the number of scattering poles. Zbl 0784.35070
Sjöstrand, Johannes; Zworski, Maciej
1993
Operators of principal type with interior boundary conditions. Zbl 0253.35076
Sjöstrand, Johannes
1973
Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033
Sjöstrand, Johannes; Zworski, Maciej
2002
Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances. Zbl 1177.37032
Faure, Frédéric; Roy, Nicolas; Sjöstrand, Johannes
2008
Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208
Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej
2002
Asymptotic distribution of eigenfrequencies for damped wave equations. Zbl 0984.35121
Sjöstrand, Johannes
2000
Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099
Sjöstrand, Johannes; Zworski, Maciej
1999
Propagation of analytic singularities for second order Dirichlet problems. Zbl 0458.35026
Sjöstrand, Johannes
1980
Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators. Zbl 1151.35063
Hager, Mildred; Sjöstrand, Johannes
2008
On Schrödinger equations with concentrated nonlinearities. Zbl 0820.34050
Jona-Lasinio, Giovanni; Presilla, Carlo; Sjöstrand, Johannes
1995
Semi-excited states in nondegenerate potential wells. Zbl 0782.35050
Sjöstrand, Johannes
1992
Effet tunnel pour l’équation de Schrödinger avec champ magnétique. (Tunnel effect for the Schrödinger equation with a magnetic field). Zbl 0699.35205
Helffer, B.; Sjöstrand, J.
1987
Semiclassical analysis for the Kramers-Fokker-Planck equation. Zbl 1083.35149
Hérau, Frédéric; Sjöstrand, Johannes; Stolk, Christiaan C.
2005
Correlation asymptotics and Witten Laplacians. Zbl 0877.35084
Sjöstrand, J.
1996
On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003
Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes
1979
A global construction for pseudo-differential operators with non- involutive characteristics. Zbl 0282.35071
Duistermaat, J. J.; Sjöstrand, J.
1973
Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations. Zbl 1194.47058
Sjöstrand, Johannes
2009
Hitrik, Michael; Sjöstrand, Johannes
2004
Tunnel effect for Kramers-Fokker-Planck type operators. Zbl 1141.82011
Hérau, Frédéric; Hitrik, Michael; Sjöstrand, Johannes
2008
Spectra of $$PT$$-symmetric operators and perturbation theory. Zbl 1065.81054
Caliceti, Emanuela; Graffi, Sandro; Sjöstrand, Johannes
2005
The complex scaling method for scattering by strictly convex obstacles. Zbl 0839.35095
Sjöstrand, Johannes; Zworski, Maciej
1995
Propagation of analyticity for a class of non-micro-characteristic operators. Zbl 0537.35007
Hanges, Nicholas; Sjöstrand, Johannes
1982
Tunnel effect and symmetries for Kramers-Fokker-Planck type operators. Zbl 1223.35246
Hérau, Frédéric; Hitrik, Michael; Sjöstrand, Johannes
2011
Birkhoff normal forms for Fourier integral operators. II. Zbl 1011.35144
Iantchenko, A.; Sjöstrand, J.
2002
Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072
Sjöstrand, Johannes
1996
Potential wells in high dimensions. I. Zbl 0770.35050
Sjöstrand, Johannes
1993
Trace formula for resonances in small domains. Zbl 1068.47055
Bony, Jean-François; Sjöstrand, Johannes
2001
Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature. Zbl 1021.82002
Bach, V.; Jecko, T.; Sjöstrand, J.
2000
Function spaces associated to global $$I$$-Lagrangian manifolds. Zbl 0889.46027
Sjöstrand, Johannes
1996
Semiclassical resonances generated by non-degenerate critical points. Zbl 0627.35074
Sjöstrand, Johannes
1987
Analytic singularities and microhyperbolic boundary value problems. Zbl 0459.35007
Sjöstrand, Johannes
1980
Weyl law for semi-classical resonances with randomly perturbed potentials. Zbl 1304.35010
Sjöstrand, Johannes
2014
Quadratic $$\mathcal{PT}$$-symmetric operators with real spectrum and similarity to self-adjoint operators. Zbl 1263.81190
Caliceti, Emanuela; Graffi, Sandro; Hitrik, Michael; Sjöstrand, Johannes
2012
Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula. Zbl 1070.47009
2004
Resonances associated to a closed hyperbolic trajectory in dimension 2. Zbl 1060.35096
Sjöstrand, Johannes
2003
Determinants of pseudodifferential operators and complex deformations of phase space. Zbl 1082.35176
Melin, A.; Sjöstrand, J.
2002
Asymptotics of the number of Rayleigh resonances. Zbl 0890.35098
Sjöstrand, Johannes; Vodev, Georgi
1997
Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents). Zbl 0698.35118
Gérard, C.; Sjöstrand, J.
1988
Propagation of singularities for operators with multiple involutive characteristics. Zbl 0313.58021
Sjöstrand, Johannes
1976
Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations. Zbl 1206.35267
Sjöstrand, Johannes
2010
Diophantine tori and spectral asymptotics for nonselfadjoint operators. Zbl 1172.35085
Hitrik, Michael; Sjöstrand, Johannes; San Vũ Ngọc
2007
Transport properties in resonant tunneling heterostructures. Zbl 0868.35112
Presilla, Carlo; Sjöstrand, Johannes
1996
Adiabatic projections from the pseudodifferential point of view. Zbl 0783.35087
Sjöstrand, Johannes
1993
Potential wells in high dimensions. II: More about the one well case. Zbl 0770.35051
Sjöstrand, Johannes
1993
Semiclassical expansions of the thermodynamic limit for a Schrödinger equation. I: The one well case. Zbl 0788.35109
Helffer, B.; Sjöstrand, J.
1992
Distribution of scattering poles near the real axis. Zbl 0766.35031
Sjöstrand, Johannes; Zworski, Maciej
1992
Puits multiples en mécanique semi-classique. V: Étude des minipuits. (Multiple wells in semi-classical mechanics. V: Study of miniwells). Zbl 0628.35024
Helffer, B.; Sjöstrand, J.
1986
Note on a paper of F. Treves concerning Mizohata type operators. Zbl 0471.35076
Sjöstrand, J.
1980
On the eigenvalues of a class of hypoelliptic operators. IV. Zbl 0417.47024
Sjöstrand, Johannes
1980
The eigenvalues of hypoelliptic operators. III: The non-semibounded case. Zbl 0436.35065
Menikoff, A.; Sjöstrand, J.
1979
Régularité analytique pour des opérateurs elliptiques singuliers en un point. Zbl 0334.35021
Baouendi, M. S.; Sjöstrand, J.
1976
Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
2014
Resolvent estimates for elliptic quadratic differential operators. Zbl 1295.47045
Hitrik, Michael; Sjöstrand, Johannes; Viola, Joe
2013
From open quantum systems to open quantum maps. Zbl 1223.81127
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
2011
Resolvent estimates for non-selfadjoint operators via semigroups. Zbl 1198.47068
Sjöstrand, Johannes
2010
On the linearized local Calderón problem. Zbl 1198.31003
Dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2009
$$P{\mathcal T}$$ symmetric non-self-adjoint operators, diagonalizable and non-diagonalizable, with a real discrete spectrum. Zbl 1124.81018
Caliceti, Emanuela; Graffi, Sandro; Sjöstrand, Johannes
2007
Evolution equations in a large number of variables. Zbl 0837.35061
Sjöstrand, Johannes
1994
Ferromagnetic integrals, correlations and maximum principles. Zbl 0831.35031
Sjöstrand, Johannes
1994
Analytic Bergman operators in the semiclassical limit. Zbl 07292324
Rouby, Ophélie; Sjöstrand, Johannes; Ngọc, San Vũ
2020
Non-self-adjoint differential operators, spectral asymptotics and random perturbations. Zbl 07029569
Sjöstrand, Johannes
2019
Positivity, complex FIOs, and Toeplitz operators. Zbl 1429.32047
Coburn, Lewis A.; Hitrik, Michael; Sjöstrand, Johannes
2019
Two minicourses on analytic microlocal analysis. Zbl 1418.32003
Hitrik, Michael; Sjöstrand, Johannes
2018
Rational invariant tori and band edge spectra for non-selfadjoint operators. Zbl 1405.35118
Hitrik, Michael; Sjöstrand, Johannes
2018
Interior eigenvalue density of large bi-diagonal matrices subject to random perturbations. Zbl 06761086
Sjöstrand, Johannes; Vogel, Martin
2017
Interior eigenvalue density of Jordan matrices with random perturbations. Zbl 06994392
Sjöstrand, Johannes; Vogel, Martin
2017
$$\mathcal{PT}$$-symmetry and Schrödinger operators. The double well case. Zbl 1337.35103
Mecherout, Nawal; Boussekkine, Naima; Ramond, Thierry; Sjöstrand, Johannes
2016
Large bidiagonal matrices and random perturbations. Zbl 1454.47034
Sjöstrand, Johannes; Vogel, Martin
2016
Local analytic regularity in the linearized Calderón problem. Zbl 1342.35456
Sjöstrand, Johannes; Uhlmann, Gunther
2016
Spectra for semiclassical operators with periodic bicharacteristics in dimension two. Zbl 1341.58019
Hall, Michael A.; Hitrik, Michael; Sjöstrand, Johannes
2015
Weyl law for semi-classical resonances with randomly perturbed potentials. Zbl 1304.35010
Sjöstrand, Johannes
2014
Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
2014
Supersymmetric structures for second order differential operators. Zbl 1303.81086
Hérau, F.; Hitrik, M.; Sjöstrand, J.
2014
Resolvent estimates for elliptic quadratic differential operators. Zbl 1295.47045
Hitrik, Michael; Sjöstrand, Johannes; Viola, Joe
2013
Quadratic $$\mathcal{PT}$$-symmetric operators with real spectrum and similarity to self-adjoint operators. Zbl 1263.81190
Caliceti, Emanuela; Graffi, Sandro; Hitrik, Michael; Sjöstrand, Johannes
2012
Diophantine tori and Weyl laws for non-selfadjoint operators in dimension two. Zbl 1256.35039
Hitrik, Michael; Sjöstrand, Johannes
2012
Upper bound on the density of Ruelle resonances for Anosov flows. Zbl 1260.37016
Faure, Frédéric; Sjöstrand, Johannes
2011
Tunnel effect and symmetries for Kramers-Fokker-Planck type operators. Zbl 1223.35246
Hérau, Frédéric; Hitrik, Michael; Sjöstrand, Johannes
2011
From open quantum systems to open quantum maps. Zbl 1223.81127
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
2011
Eigenvalue distributions and Weyl laws for semiclassical non-self-adjoint operators in 2 dimensions. Zbl 1248.35241
Sjöstrand, Johannes
2011
Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067
Guillemin, Victor (ed.); Pelayo, Álvaro (ed.); Vũ Ngọc, San (ed.); Weinstein, Alan (ed.); Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes
2011
Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations. Zbl 1206.35267
Sjöstrand, Johannes
2010
Resolvent estimates for non-selfadjoint operators via semigroups. Zbl 1198.47068
Sjöstrand, Johannes
2010
Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds. Zbl 1228.47046
Montrieux, William Bordeaux; Sjöstrand, Johannes
2010
Counting zeros of holomorphic functions of exponential growth. Zbl 1214.30006
Sjöstrand, Johannes
2010
Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations. Zbl 1194.47058
Sjöstrand, Johannes
2009
On the linearized local Calderón problem. Zbl 1198.31003
Dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2009
Resonances for nonanalytic potentials. Zbl 1203.35033
Martinez, André; Ramond, Thierry; Sjöstrand, Johannes
2009
Some results on nonselfadjoint operators: a survey. Zbl 1189.47009
Sjöstrand, Johannes
2009
A direct approach to Bergman kernel asymptotics for positive line bundles. Zbl 1161.32001
Berman, Robert; Berndtsson, Bo; Sjöstrand, Johannes
2008
Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances. Zbl 1177.37032
Faure, Frédéric; Roy, Nicolas; Sjöstrand, Johannes
2008
Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators. Zbl 1151.35063
Hager, Mildred; Sjöstrand, Johannes
2008
Tunnel effect for Kramers-Fokker-Planck type operators. Zbl 1141.82011
Hérau, Frédéric; Hitrik, Michael; Sjöstrand, Johannes
2008
Tunnel effect for Kramers-Fokker-Planck type operators: return to equilibrium and applications. Zbl 1151.35012
Hérau, Frédéric; Hitrik, Michael; Sjöstrand, Johannes
2008
Non-selfadjoint perturbations of selfadjoint operators in two dimensions IIIa. One branching point. Zbl 1147.31004
Hitrik, Michael; Sjöstrand, Johannes
2008
Pseudodifferential operators and weighted normed symbol spaces. Zbl 1199.35410
Sjöstrand, J.
2008
Rational invariant tori, phase space tunneling, and spectra for non-selfadjointoperators in dimension 2. Zbl 1171.35131
Hitrik, Michael; Sjöstrand, Johannes
2008
The Calderón problem with partial data. Zbl 1127.35079
Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2007
Determining a magnetic Schrödinger operator from partial Cauchy data. Zbl 1148.35096
dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
2007
Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189
Sjöstrand, Johannes; Zworski, Maciej
2007
Elementary linear algebra for advanced spectral problems. Zbl 1140.15009
Sjöstrand, Johannes; Zworski, Maciej
2007
Diophantine tori and spectral asymptotics for nonselfadjoint operators. Zbl 1172.35085
Hitrik, Michael; Sjöstrand, Johannes; San Vũ Ngọc
2007
$$P{\mathcal T}$$ symmetric non-self-adjoint operators, diagonalizable and non-diagonalizable, with a real discrete spectrum. Zbl 1124.81018
Caliceti, Emanuela; Graffi, Sandro; Sjöstrand, Johannes
2007
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles. Zbl 1207.32012
Berman, Robert; Sjöstrand, Johannes
2007
Semiclassical analysis for the Kramers-Fokker-Planck equation. Zbl 1083.35149
Hérau, Frédéric; Sjöstrand, Johannes; Stolk, Christiaan C.
2005
Spectra of $$PT$$-symmetric operators and perturbation theory. Zbl 1065.81054
Caliceti, Emanuela; Graffi, Sandro; Sjöstrand, Johannes
2005
Nonselfadjoint perturbations of selfadjoint operators in two dimensions: II. Vanishing averages. Zbl 1096.47053
Hitrik, Michael; Sjöstrand, Johannes
2005
Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035
Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej
2004
Hitrik, Michael; Sjöstrand, Johannes
2004
Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula. Zbl 1070.47009
2004
Resonances associated to a closed hyperbolic trajectory in dimension 2. Zbl 1060.35096
Sjöstrand, Johannes
2003
Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2. Zbl 1061.35186
Melin, Anders; Sjöstrand, Johannes
2003
Pseudospectrum for differential operators. Zbl 1061.35067
Sjöstrand, Johannes
2003
Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033
Sjöstrand, Johannes; Zworski, Maciej
2002
Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208
Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej
2002
Birkhoff normal forms for Fourier integral operators. II. Zbl 1011.35144
Iantchenko, A.; Sjöstrand, J.
2002
Determinants of pseudodifferential operators and complex deformations of phase space. Zbl 1082.35176
Melin, A.; Sjöstrand, J.
2002
Resonances for bottles and trace formulae. Zbl 0979.35109
Sjöstrand, Johannes
2001
Trace formula for resonances in small domains. Zbl 1068.47055
Bony, Jean-François; Sjöstrand, Johannes
2001
Quantum resonances and trapped trajectories. Zbl 1172.35471
Sjöstrand, Johannes
2001
Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2. Zbl 1066.53141
Sjöstrand, Johannes
2001
Asymptotic distribution of eigenfrequencies for damped wave equations. Zbl 0984.35121
Sjöstrand, Johannes
2000
Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature. Zbl 1021.82002
Bach, V.; Jecko, T.; Sjöstrand, J.
2000
Spectral asymptotics in the semi-classical limit. Zbl 0926.35002
Dimassi, Mouez; Sjöstrand, Johannes
1999
Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099
Sjöstrand, Johannes; Zworski, Maciej
1999
Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green’s functions. Zbl 0941.47033
Sjöstrand, J.; Wang, W.-M.
1999
Exponential decay of averaged Green functions for random Schrödinger operators. A direct approach. Zbl 0934.35036
Sjöstrand, J.; Wang, W.-M.
1999
Evolution equations, Feshbach resonances, singular Hodge theory. Zbl 0918.00012
Demuth, Michael (ed.); Schrohe, Elmar (ed.); Schulze, Bert-Wolfgang (ed.); Sjöstrand, Johannes (ed.)
1999
A trace formula and review of some estimates for resonances. Zbl 0877.35090
Sjöstrand, J.
1997
Asymptotics of the number of Rayleigh resonances. Zbl 0890.35098
Sjöstrand, Johannes; Vodev, Georgi
1997
A trace formula for resonances and applications to semi-classical Schrödinger operators. Zbl 1061.35506
Sjöstrand, J.
1997
Spectral theory, microlocal analysis, singular manifolds. Zbl 0882.00015
Demuth, Michael (ed.); Schrohe, Elmar (ed.); Schulze, Bert-Wolfgang (ed.); Sjöstrand, Johannes (ed.)
1997
Correlation asymptotics and Witten Laplacians. Zbl 0877.35084
Sjöstrand, J.
1996
Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072
Sjöstrand, Johannes
1996
Function spaces associated to global $$I$$-Lagrangian manifolds. Zbl 0889.46027
Sjöstrand, Johannes
1996
Transport properties in resonant tunneling heterostructures. Zbl 0868.35112
Presilla, Carlo; Sjöstrand, Johannes
1996
Trace asymptotics via almost analytic extensions. Zbl 0864.35078
Dimassi, Mouez; Sjöstrand, Johannes
1996
Wiener type algebras of pseudodifferential operators. Zbl 0880.35145
Sjöstrand, J.
1995
On Schrödinger equations with concentrated nonlinearities. Zbl 0820.34050
Jona-Lasinio, Giovanni; Presilla, Carlo; Sjöstrand, Johannes
1995
The complex scaling method for scattering by strictly convex obstacles. Zbl 0839.35095
Sjöstrand, Johannes; Zworski, Maciej
1995
An algebra of pseudodifferential operators. Zbl 0840.35130
Sjöstrand, Johannes
1994
Microlocal analysis for differential operators. An introduction. Zbl 0804.35001
Grigis, Alain; Sjöstrand, Johannes
1994
On the correlation for Kac-like models in the convex case. Zbl 0946.35508
Helffer, Bernard; Sjöstrand, Johannes
1994
Lower bounds on the number of scattering poles. II. Zbl 0823.35137
Sjöstrand, Johannes; Zworski, Maciej
1994
Evolution equations in a large number of variables. Zbl 0837.35061
Sjöstrand, Johannes
1994
Ferromagnetic integrals, correlations and maximum principles. Zbl 0831.35031
Sjöstrand, Johannes
1994
Remark on extensions of the Watermelon theorem. Zbl 0842.35003
Sjöstrand, Johannes
1994
Erratum on the paper: Semiclassical expansions of the thermodynamic limit for a Schrödinger equation. II: The double well case. Zbl 0979.35521
Helffer, Bernard; Sjöstrand, Johannes
1994
Schrödinger operators in high dimensions, asymptotic constructions and estimates. Zbl 0842.35094
Sjöstrand, Johannes
1994
Lower bounds on the number of scattering poles. Zbl 0784.35070
Sjöstrand, Johannes; Zworski, Maciej
1993
Potential wells in high dimensions. I. Zbl 0770.35050
Sjöstrand, Johannes
1993
Adiabatic projections from the pseudodifferential point of view. Zbl 0783.35087
Sjöstrand, Johannes
1993
Potential wells in high dimensions. II: More about the one well case. Zbl 0770.35051
Sjöstrand, Johannes
1993
Estimates on the number of scattering poles near the real axis for strictly convex obstacles. Zbl 0784.35073
Sjöstrand, J.; Zworski, M.
1993
Semi-excited states in nondegenerate potential wells. Zbl 0782.35050
Sjöstrand, Johannes
1992
Semiclassical expansions of the thermodynamic limit for a Schrödinger equation. I: The one well case. Zbl 0788.35109
Helffer, B.; Sjöstrand, J.
1992
Distribution of scattering poles near the real axis. Zbl 0766.35031
Sjöstrand, Johannes; Zworski, Maciej
1992
Exponential convergence of the first eigenvalue divided by the dimension, for certain sequences of Schrödinger operator. Zbl 0796.35123
Sjöstrand, Johannes
1992
Density of states oscillations for magnetic Schrödinger operators. Zbl 0778.35089
Sjöstrand, Johannes
1992
...and 80 more Documents
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#### Cited by 1,497 Authors

 74 Sjöstrand, Johannes 65 Helffer, Bernard 34 Martinez, André 33 Zworski, Maciej 21 Uhlmann, Gunther Alberto 18 Lebeau, Gilles 18 Zelditch, Steve 17 Gérard, Christian 17 Nicola, Fabio 17 Vasy, András 16 Gröchenig, Karlheinz 16 Nakamura, Shu 16 Petkov, Vesselin M. 15 Cordero, Elena 15 Toft, Joachim 14 Bony, Jean-François 14 Kian, Yavar 14 Klein, Markus 14 Klopp, Frédéric 14 Stoyanov, Luchezar N. 13 Bellassoued, Mourad 13 Bove, Antonio 13 Bruneau, Vincent 13 Dyatlov, Semyon 13 Lassas, Matti 13 Pravda-Starov, Karel 13 Salo, Mikko 12 Burq, Nicolas 12 Guillarmou, Colin 12 Nier, Francis 12 Stefanov, Plamen D. 12 Vodev, Georgi 11 Cornean, Horia D. 11 Dimassi, Mouez 11 Galkowski, Jeffrey 11 Hassell, Andrew 11 Himonas, A. Alexandrou 11 Hitrik, Michael 11 Hsiao, Chin-Yu 11 Paoletti, Roberto 11 Purice, Radu 11 Robert, Didier 11 Sordoni, Vania 10 Hérau, Frédéric 10 Korotyaev, Evgeny L. 10 Lascar, Richard 10 Raikov, Georgi D. 10 Ramond, Thierry 10 Rivière, Gabriel 10 Rodino, Luigi 10 Wunsch, Jared 9 Briet, Philippe 9 Christiansen, Tanya J. 9 Fujiié, Setsuro 9 Hanges, Nicholas 9 Lascar, Bernard 9 Le Rousseau, Jérôme H. 9 Ludwig, Ursula Beate 9 Mughetti, Marco 9 Nonnenmacher, Stéphane 9 Nourrigat, Jean Francois 9 Pushnitski, Alexander B. 9 Raymond, Nicolas 9 Sun, Qiyu 9 Tzou, Leo 9 Yamamoto, Masahiro 8 Anikin, A. Yu. 8 de Gosson, Maurice Alexis 8 Grigis, Alain 8 Hislop, Peter D. 8 Iantchenko, Alexei 8 Krantz, Steven George 8 Morame, Abderemane 8 Rosenberger, Elke 8 Rouleux, Michel 8 Sigal, Israel Michael 8 Teufel, Stefan 8 Tomita, Naohito 8 Vũ Ngọc, San 8 Williams, Mark 8 Zerzeri, Maher 7 Borthwick, David 7 Christianson, Hans 7 Faure, Frédéric 7 Guillemin, Victor W. 7 Măntoiu, Marius Laurenţiu 7 Parmeggiani, Alberto 7 Paul, Thierry 7 Popoff, Nicolas 7 Soccorsi, Eric 7 Tartakoff, David S. 7 Toth, John Andrew 7 Trapasso, Salvatore Ivan 7 Vögel, Martin 7 Wang, Wei-Min 7 Wang, Xueping 6 Bismut, Jean-Michel 6 Boutet de Monvel, Louis 6 Caro, Pedro 6 Coriasco, Sandro ...and 1,397 more Authors
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#### Cited in 227 Serials

 143 Communications in Mathematical Physics 136 Journal of Functional Analysis 127 Communications in Partial Differential Equations 62 Annales de l’Institut Fourier 60 Journal of Differential Equations 57 Journal of Mathematical Physics 55 Duke Mathematical Journal 54 Journal of Mathematical Analysis and Applications 51 Transactions of the American Mathematical Society 51 Annales de l’Institut Henri Poincaré. Physique Théorique 50 Annales Henri Poincaré 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 29 Inventiones Mathematicae 29 Mathematische Annalen 28 Journal d’Analyse Mathématique 28 The Journal of Geometric Analysis 27 Advances in Mathematics 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 25 Proceedings of the American Mathematical Society 22 Letters in Mathematical Physics 22 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 22 Publications of the Research Institute for Mathematical Sciences, Kyoto University 20 Journal of Spectral Theory 19 Inverse Problems and Imaging 17 Arkiv för Matematik 17 Proceedings of the Japan Academy. Series A 17 SIAM Journal on Mathematical Analysis 17 Journal of Pseudo-Differential Operators and Applications 16 Reviews in Mathematical Physics 15 Mathematische Nachrichten 15 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 15 The Journal of Fourier Analysis and Applications 14 Inverse Problems 13 Bulletin of the American Mathematical Society. New Series 12 Mathematische Zeitschrift 10 Applicable Analysis 10 Journal of Statistical Physics 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Annals of Global Analysis and Geometry 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Geometric and Functional Analysis. GAFA 10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Journal of Geometry and Physics 9 Integral Equations and Operator Theory 9 Mémoires de la Société Mathématique de France. Nouvelle Série 9 Journal of the Institute of Mathematics of Jussieu 8 Theoretical and Mathematical Physics 8 Bulletin de la Société Mathématique de France 8 Russian Journal of Mathematical Physics 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Applied and Computational Harmonic Analysis 7 Journal of Inverse and Ill-Posed Problems 6 Archive for Rational Mechanics and Analysis 6 Communications on Pure and Applied Mathematics 6 Mathematical Notes 6 Nonlinearity 6 Acta Mathematica 6 The Annals of Probability 6 Memoirs of the American Mathematical Society 6 Monatshefte für Mathematik 6 Journal of the American Mathematical Society 6 Asymptotic Analysis 6 Discrete and Continuous Dynamical Systems 6 Annals of Mathematics. Second Series 6 Journal of the European Mathematical Society (JEMS) 6 Proceedings of the Japan Academy 5 Rocky Mountain Journal of Mathematics 5 Functional Analysis and its Applications 5 Journal of the Mathematical Society of Japan 5 Journal für die Reine und Angewandte Mathematik 5 Journal of Soviet Mathematics 5 Manuscripta Mathematica 5 Osaka Journal of Mathematics 5 International Journal of Mathematics 5 Indagationes Mathematicae. New Series 5 Mathematical Physics, Analysis and Geometry 5 Proceedings of the Steklov Institute of Mathematics 5 Analysis & PDE 5 Advances in Mathematical Physics 5 Science China. Mathematics 5 Bulletin of Mathematical Sciences 4 Israel Journal of Mathematics 4 Nagoya Mathematical Journal 4 Ergodic Theory and Dynamical Systems 4 Constructive Approximation 4 Revista Matemática Iberoamericana 4 Annals of Physics 4 Stochastic Processes and their Applications 4 Calculus of Variations and Partial Differential Equations 4 St. Petersburg Mathematical Journal 4 Acta Mathematica Sinica. English Series 4 Communications in Contemporary Mathematics 4 Bulletin of the American Mathematical Society 4 Complex Analysis and Operator Theory 4 Journal de l’École Polytechnique – Mathématiques 4 Pure and Applied Analysis 3 International Journal of Theoretical Physics 3 Journal of Computational Physics 3 Mathematical Methods in the Applied Sciences ...and 127 more Serials
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#### Cited in 52 Fields

 1,264 Partial differential equations (35-XX) 549 Quantum theory (81-XX) 440 Operator theory (47-XX) 366 Global analysis, analysis on manifolds (58-XX) 166 Several complex variables and analytic spaces (32-XX) 135 Statistical mechanics, structure of matter (82-XX) 133 Differential geometry (53-XX) 112 Functional analysis (46-XX) 100 Dynamical systems and ergodic theory (37-XX) 91 Harmonic analysis on Euclidean spaces (42-XX) 90 Ordinary differential equations (34-XX) 72 Probability theory and stochastic processes (60-XX) 63 Optics, electromagnetic theory (78-XX) 49 Numerical analysis (65-XX) 31 Systems theory; control (93-XX) 29 Functions of a complex variable (30-XX) 28 Integral transforms, operational calculus (44-XX) 23 Mechanics of deformable solids (74-XX) 23 Information and communication theory, circuits (94-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 Relativity and gravitational theory (83-XX) 20 Fluid mechanics (76-XX) 18 Topological groups, Lie groups (22-XX) 18 Manifolds and cell complexes (57-XX) 18 Mechanics of particles and systems (70-XX) 15 Abstract harmonic analysis (43-XX) 15 Integral equations (45-XX) 14 Potential theory (31-XX) 13 Difference and functional equations (39-XX) 12 Algebraic geometry (14-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Biology and other natural sciences (92-XX) 10 Number theory (11-XX) 10 Measure and integration (28-XX) 10 Special functions (33-XX) 9 Approximations and expansions (41-XX) 6 History and biography (01-XX) 5 Combinatorics (05-XX) 5 $$K$$-theory (19-XX) 5 Real functions (26-XX) 5 Convex and discrete geometry (52-XX) 5 Geophysics (86-XX) 4 Group theory and generalizations (20-XX) 4 Sequences, series, summability (40-XX) 4 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX)

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