Edit Profile (opens in new tab) Helffer, Bernard Co-Author Distance Author ID: helffer.bernard Published as: Helffer, Bernard; Helffer, B. External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 348 Publications since 1972, including 16 Books and 21 Additional arXiv Preprints 1 Further Contribution Reviewing Activity: 188 Reviews Co-Authors: 97 Co-Authors with 279 Joint Publications 2,074 Co-Co-Authors all top 5 Co-Authors 69 single-authored 31 Sjöstrand, Johannes 22 Hoffmann-Ostenhof, Thomas 19 Bérard, Pierre H. 19 Kachmar, Ayman 16 Bolley, Catherine 16 Robert, Didier 15 Nourrigat, Jean Francois 14 Fournais, Søren 13 Almog, Yaniv 11 Kordyukov, Yuri A. 10 Sundqvist, Mikael Persson 8 Siedentop, Heinz Karl Heinrich 7 Bonnaillie-Noël, Virginie 7 Cornean, Horia D. 7 Pan, Xingbin 7 Purice, Radu 6 Morame, Abderemane 5 Bolley, Pierre 5 Camus, Jacques 5 Grebenkov, Denis S. 4 Barbaroux, Jean-Marie 4 Nicoleau, François 4 Nier, Francis 4 Raymond, Nicolas 3 Derridj, Makhlouf 3 Frank, Rupert L. 3 Gittins, Katie 3 Hoffmann-Ostenhof, Maria 3 Kiwan, Rola 3 Terracini, Susanna 3 Zuily, Claude 2 Assaad, Wafaa 2 Bach, Volker 2 Belaud, Yves 2 Bodineau, Thierry 2 Charron, Philippe 2 Daudé, Thierry 2 Dauge, Monique 2 Henry, Raphaël 2 Lafitte, Olivier D. 2 Laptev, Ari 2 Léna, Corentin 2 Martinez, André 2 Nadirashvili, Nikolai S. 2 Nourrigat, F. 2 Pankrashkin, Konstantin 2 Ramond, Thierry 2 Rodino, Luigi 2 Véron, Laurent 2 Wang, Xue Ping 1 Aftalion, Amandine 1 Ancona, Alano 1 Averous, Genevieve 1 Balslev, Erik 1 Beauchard, Karine 1 Bérard Bergery, Lionel 1 Berkolaiko, Gregory 1 Bourguignon, Jean-Pierre 1 Boutet de Monvel, Louis 1 Calabi, Eugenio 1 Chanillo, Sagun 1 Connes, Alain 1 Corwin, Lawrence J. 1 Cox, Graham 1 Damlakhi, Moustafa K. 1 Deschamps, Annie 1 Dutour-Sikiric, Mathieu 1 El Houakmi, Z. 1 Ezin, Jean-Pierre 1 Farkas, Walter 1 Foucher, Françoise 1 Gallot, Sylvestre 1 Goffeng, Magnus 1 Grigis, Alain 1 Haslinger, Friedrich 1 Ignat, Radu 1 Kamran, Niky 1 Kannai, Yakar 1 Karaki, Zeinab 1 Kerdelhué, Philippe 1 Kerdelhué, Phillippe 1 Klein, Markus 1 Knauf, Andreas 1 Kovařík, Hynek 1 Laleg-Kirati, Taous-Meriem 1 Léautaud, Matthieu 1 Liu, Qinghui 1 Marquetand, P. 1 Mattera, Claude 1 Moutal, Nicolas 1 Owen, Mark P. 1 Owen, Markus Roger 1 Parisse, Bernard 1 Pham the Lai 1 Polombo, Albert 1 Qu, Yanhui 1 Robbiano, Luc 1 Rothschild, Linda Preiss 1 Royo-Letelier, Jimena 1 Vial, Grégory ...and 6 more Co-Authors all top 5 Serials 13 Communications in Mathematical Physics 12 Journal of Functional Analysis 12 Communications in Partial Differential Equations 8 Asymptotic Analysis 8 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 7 Annales de l’Institut Fourier 7 Mémoires de la Société Mathématique de France. Nouvelle Série 7 Annales de l’Institut Henri Poincaré. Physique Théorique 6 Reviews in Mathematical Physics 5 Letters in Mathematical Physics 5 Transactions of the American Mathematical Society 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Archive for Rational Mechanics and Analysis 4 Gazette des Mathématiciens 4 Journal of Differential Equations 4 SIAM Journal on Mathematical Analysis 4 Séminaire Équations aux Dérivées Partielles 4 Documenta Mathematica 4 Moscow Mathematical Journal 4 Journal of Spectral Theory 4 Annales Mathématiques du Québec 3 Journal of Mathematical Physics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 European Journal of Applied Mathematics 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 2 Helvetica Physica Acta 2 Journal d’Analyse Mathématique 2 American Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Duke Mathematical Journal 2 Integral Equations and Operator Theory 2 Proceedings of the American Mathematical Society 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Nonlinear Studies 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 Portugaliae Mathematica. Nova Série 2 Astérisque 2 Lecture Notes in Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Analysis & PDE 2 Pure and Applied Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Arkiv för Matematik 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Mathematika 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matematico 1 Advances in Applied Mathematics 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Cahiers Mathématiques 1 Algebra i Analiz 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Journal of Physics A: Mathematical and General 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Advances in Mathematical Sciences and Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal of the Egyptian Mathematical Society 1 Mathematical Physics Electronic Journal 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Matemática Contemporânea 1 Functional Differential Equations 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Milan Journal of Mathematics 1 Cubo 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Bulletin of the American Mathematical Society 1 Cambridge Studies in Advanced Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Progress in Mathematics 1 SMF Journée Annuelle 1 Series on Partial Differential Equations and Applications 1 Confluentes Mathematici ...and 4 more Serials all top 5 Fields 284 Partial differential equations (35-XX) 96 Quantum theory (81-XX) 60 Global analysis, analysis on manifolds (58-XX) 60 Statistical mechanics, structure of matter (82-XX) 56 Operator theory (47-XX) 26 Ordinary differential equations (34-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Numerical analysis (65-XX) 11 Topological groups, Lie groups (22-XX) 11 Optics, electromagnetic theory (78-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 History and biography (01-XX) 4 Integral transforms, operational calculus (44-XX) 4 Fluid mechanics (76-XX) 3 Real functions (26-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 284 Publications have been cited 4,660 times in 2,336 Documents Cited by ▼ Year ▼ Multiple wells in the semi-classical limit. I. Zbl 0546.35053 Helffer, B.; Sjöstrand, J. 277 1984 Semi-classical analysis for the Schrödinger operator and applications. Zbl 0647.35002 Helffer, Bernard 170 1988 Spectral methods in surface superconductivity. Zbl 1256.35001 Fournais, Søren; Helffer, Bernard 156 2010 Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006 Helffer, Bernard; Nier, Francis 147 2005 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. 124 1989 Résonances en limite semi-classique. (Resonances in semi-classical limit). Zbl 0631.35075 Helffer, B.; Sjöstrand, J. 113 1986 Théorie spectrale pour des opérateurs globalement elliptiques. Zbl 0541.35002 Helffer, Bernard 100 1984 Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles. Zbl 0524.35103 Helffer, B.; Robert, D. 99 1983 Magnetic bottles in connection with superconductivity. Zbl 1078.81023 Helffer, Bernard; Morame, Abderemane 93 2001 Caractérisation des opérateurs hypoelliptiques homogenes invariants à gauche sur un groupe de Lie nilpotent gradue. Zbl 0423.35040 Helffer, B.; Nourrigat, J. 90 1979 Spectral theory and its applications. Zbl 1279.47002 Helffer, Bernard 81 2013 Nodal domains and spectral minimal partitions. Zbl 1171.35083 Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S. 80 2009 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. 79 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. 73 1988 Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit). Zbl 0624.58039 Helffer, B.; Martinez, A.; Robert, D. 71 1987 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. 67 1985 Eigenvalues variation. I: Neumann problem for Sturm–Liouville operators. Zbl 0784.34021 Dauge, Monique; Helffer, Bernard 65 1993 Semi-classical analysis for Harper’s equation. III: Cantor structure of the spectrum. Zbl 0725.34099 Helffer, B.; Sjöstrand, J. 63 1989 Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. (Maximal hypoellipticity for polynomial operators of vector fields). Zbl 0568.35003 Helffer, Bernard; Nourrigat, Jean 58 1985 Semiclassical analysis for the ground state energy of a Schrödinger operator with magnetic wells. Zbl 0851.58046 Helffer, Bernard; Mohamed, Arbderemane 55 1996 On the correlation for Kac-like models in the convex case. Zbl 0946.35508 Helffer, Bernard; Sjöstrand, Johannes 54 1994 Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains. Zbl 1042.81012 Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Owen, M. P. 50 1999 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025 Helffer, Bernard; Klein, Markus; Nier, Francis 48 2004 Propriétés asymptotiques du spectre d’opérateurs pseudodifferentiels sur \(R^ n\). Zbl 0501.35081 Helffer, Bernard; Robert, Didier 46 1982 Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques. Zbl 0451.35022 Robert, D.; Helffer, B. 43 1981 Multiple wells in the semi-classical limit. III: Interaction through non- resonant wells. Zbl 0597.35023 Helffer, B.; Sjöstrand, J. 42 1985 Caractérisation du spectre essentiel de l’opérateur de Schrödinger avec un champ magnétique. (Characterization of the essential spectrum of the Schrödinger operator with a magnetic field). Zbl 0638.47047 Helffer, B.; Mohamed, A. 42 1988 Puits de potentiel généralisés et asymptotique semi-classique. (Generalized potential wells and semiclassical asymptotic). Zbl 0565.35082 Helffer, B.; Robert, D. 42 1984 Semiclassical analysis, Witten Laplacians, and statistical mechanics. Zbl 1046.82001 Helffer, Bernard 41 2002 Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian. Zbl 1097.47020 Fournais, Søren; Helffer, Bernard 41 2006 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. 40 1990 Paramètrixes d’opérateurs pseudodifferentiels à caractéristiques multiples. Zbl 0344.32009 Boutet de Monvel, Louis; Grigis, Alain; Helffer, Bernard 39 1976 Asymptotic of the density of states for the Schrödinger operator with periodic electric potential. Zbl 0951.35104 Helffer, Bernard; Mohamed, Abderemane 39 1998 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. 34 1987 The log-Sobolev inequality for unbounded spin systems. Zbl 0972.82035 Bodineau, T.; Helffer, B. 32 1999 Upper critical field and location of surface nucleation of superconductivity. (Champ surcritique et localisation de la nucléation de surface en supraconductivité.) Zbl 1060.35132 Helffer, Bernard; Pan, Xing-Bin 32 2003 Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018 Nier, F.; Helffer, B. 32 2006 On spectral minimal partitions: the case of the sphere. Zbl 1230.35072 Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna 32 2010 On diamagnetism and de Haas-van Alphen effect. Zbl 0715.35070 Helffer, B.; Sjöstrand, J. 31 1990 Asymptotique des niveaux d’energie pour des Hamiltoniens à un degré de liberte. Zbl 0519.35063 Helffer, B.; Robert, D. 30 1982 On the third critical field in Ginzburg-Landau theory. Zbl 1107.58009 Fournais, S.; Helffer, B. 29 2006 Conditions necessaires d’hypoanalyticite pour des opérateurs invariants à gauche homogenes sur un groupe nilpotent gradue. Zbl 0458.35019 Helffer, Bernard 28 1982 Eigenvalues for the Robin Laplacian in domains with variable curvature. Zbl 1364.35215 Helffer, Bernard; Kachmar, Ayman 28 2017 Limiting absorption principle and resonances for the Dirac operator. Zbl 0756.35062 Balslev, E.; Helffer, B. 27 1992 On the stability of the relativistic electron-positron field. Zbl 1024.81056 Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz 26 1999 Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case). Zbl 1057.35061 Helffer, Bernard; Morame, Abderemane 26 2004 On spectral minimal partitions: a survey. Zbl 1225.35158 Helffer, B. 25 2010 Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces. Zbl 1144.32023 Haslinger, Friedrich; Helffer, Bernard 24 2007 Degenerate parabolic operators of Kolmogorov type with a geometric control condition. Zbl 1311.93042 Beauchard, Karine; Helffer, Bernard; Henry, Raphael; Robbiano, Luc 24 2015 Hypoellipticite pour des groupes nilpotents de rang de nilpotence 3. Zbl 0385.35015 Helffer, B.; Nourrigat, F. 22 1978 Effet d’Aharonov-Bohm sur un état borné de l’équation de Schrödinger. (Aharonov-Bohm effect for a bounded state of the Schrödinger equation). Zbl 0702.35186 Helffer, B. 21 1988 Tunneling between corners for Robin Laplacians. Zbl 1319.35129 Helffer, Bernard; Pankrashkin, Konstantin 20 2015 Magnetic bottles for the Neumann problem: the case of dimension 3. Zbl 1199.81016 Helffer, Bernard; Morame, Abderemane 19 2002 Strong diamagnetism for general domains and application. Zbl 1133.35073 Fournais, Soeren; Helffer, Bernard 19 2007 Nodal and spectral minimal partitions – The state of the art in 2016. Zbl 1373.49050 Bonnaillie-Noël, Virginie; Helffer, Bernard 19 2017 An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting material. Zbl 0779.35104 Bolley, C.; Helffer, B. 18 1993 On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent. Zbl 1332.35241 Almog, Yaniv; Helffer, Bernard 18 2015 Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. Zbl 1196.35031 Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T. 18 2009 Invariants associés à une classe d’opérateurs pseudodifférentiels et applications à l’hypoellipticité. Zbl 0301.35026 Helffer, Bernard 18 1976 Improving semigroup bounds with resolvent estimates. Zbl 1496.47067 Helffer, B.; Sjöstrand, J. 18 2021 Eigenvalues variation. II: Multidimensional problems. Zbl 0807.34033 Dauge, Monique; Helffer, Bernard 17 1993 Numerical simulations for nodal domains and spectral minimal partitions. Zbl 1191.35189 Bonnaillie-Noël, Virginie; Helffer, Bernard; Vial, Gregory 17 2010 Tunneling for the Robin Laplacian in smooth planar domains. Zbl 1361.35119 Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas 17 2017 On nodal domains in Euclidean balls. Zbl 1362.35200 Helffer, Bernard; Sundqvist, Mikael Persson 17 2016 Remarks on decay of correlations and Witten Laplacians Brascamp-Lieb inequalities and semiclassical limit. Zbl 0921.35141 Helffer, Bernard 16 1998 Sur le spectre de l’équation de Dirac (dans \({\mathbb{R}}^ 2\) ou \({\mathbb{R}}^ 3)\) avec champ magnétique. (On the spectrum of the Dirac equation (in \({\mathbb{R}}^ 2\) or \({\mathbb{R}}^ 3)\) with magnetic field). Zbl 0703.35127 Helffer, B.; Nourrigat, J.; Wang, X. P. 16 1989 The complex Airy operator on the line with a semipermeable barrier. Zbl 1430.47001 Grebenkov, Denis S.; Helffer, Bernard; Henry, Raphael 16 2017 Comportement asymptotique precise du spectre d’opérateurs globalement elliptiques dans \(R^ n\). Zbl 0503.35070 Helffer, B.; Robert, D. 15 1981 The distribution of surface superconductivity along the boundary: on a conjecture of X. B. Pan. Zbl 1136.82042 Almog, Yaniv; Helffer, Bernard 15 2007 Magnetic wells in dimension three. Zbl 1351.81053 Helffer, Bernard; Kordyukov, Yuri; Raymond, Nicolas; Ngọc, San Vũ 15 2016 Dirichlet eigenfunctions of the square membrane: Courant’s property, and A. Stern’s and Å. Pleijel’s analyses. Zbl 1390.35209 Bérard, Pierre; Helffer, Bernard 15 2015 The Montgomery model revisited. Zbl 1207.34110 Helffer, B. 15 2010 Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom. Zbl 1184.35233 Helffer, B.; Kordyukov, Y. A. 15 2009 On mathematical models for Bose-Einstein condensates in optical lattices. Zbl 1171.82304 Aftalion, Amandine; Helffer, Bernard 15 2009 Sturm’s theorem on zeros of linear combinations of eigenfunctions. Zbl 1443.34026 Bérard, Pierre; Helffer, Bernard 15 2020 On the Ginzburg-Landau critical field in three dimensions. Zbl 1159.35301 Fournais, S.; Helffer, B. 15 2009 On a magnetic characterization of spectral minimal partitions. Zbl 1282.35259 Helffer, Bernard; Hoffmann-Ostenhof, Thomas 15 2013 On spectral properties of the Bloch-Torrey operator in two dimensions. Zbl 1387.35427 Grebenkov, Denis S.; Helffer, Bernard 15 2018 Nonlinear eigenvalues and analytic hypoellipticity. Zbl 1053.35045 Chanillo, Sagun; Helffer, Bernard; Laptev, Ari 14 2004 Analyticite et iterés reduits d’un système de champs de vecteurs. Zbl 0452.35123 Helffer, B.; Mattera, Cl. 14 1980 Remarks on decay of correlations and Witten Laplacians. III: Application to logarithmic Sobolev inequalities. Zbl 1055.82004 Helffer, Bernard 14 1999 Sur l’hypoellipticité des opérateurs pseudodifférentiels à caractéristiques multiples (perte de 3/2 derivées). Zbl 0374.35012 Helffer, Bernard 14 1977 Riesz means of bound states and semiclassical limit connected with a Lieb-Thirring’s conjecture. Zbl 0717.35062 Helffer, B.; Robert, D. 14 1990 The Ginzburg-Landau functional with vanishing magnetic field. Zbl 1331.35330 Helffer, Bernard; Kachmar, Ayman 14 2015 Superconductivity between \(H_{C_2}\) and \(H_{C_3}\). Zbl 1225.34097 Fournais, Søren; Helffer, Bernard; Persson, Mikael 14 2011 Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square with application to minimal partitions. Zbl 1270.35025 Bonnaillie-Noël, V.; Helffer, B. 14 2011 Puits multiples en mécanique semi-classique. VI: Cas des puits sous- variétés. (Multiple wells in semi-classical mechanics. VI: The case of submanifold wells). Zbl 0648.35027 Helffer, B.; Sjöstrand, J. 13 1987 On spectral theory for Schrödinger operators with magnetic potentials. Zbl 0816.35100 Helffer, Bernard 13 1994 Correlations, spectral gap and log-Sobolev inequalities for unbounded spins systems. Zbl 1161.82306 Bodineau, T.; Helffer, B. 13 2000 On the Hartree-Fock equations of the electron-positron field. Zbl 1087.81055 Barbaroux, Jean-Marie; Farkas, Walter; Helffer, Bernard; Siedentop, Heinz 13 2005 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. 12 1986 Long-time vanishing properties of solutions of some semilinear parabolic equations. Zbl 0983.35066 Belaud, Yves; Helffer, Bernard; Véron, Laurent 12 2001 On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051 Helffer, Bernard; Weissler, Fred B. 12 1998 Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. Zbl 0549.35026 Helffer, B.; Nourrigat, J. 12 1983 Analyticite et iterés d’un système de champs non elliptique. Zbl 0468.35084 Damlakhi, M.; Helffer, B. 12 1980 Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle. Zbl 1382.58021 Bérard, Pierre; Helffer, Bernard 12 2016 Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains. Zbl 1386.81075 Almog, Y.; Grebenkov, D. S.; Helffer, B. 12 2018 Converse spectral problems for nodal domains. Zbl 1125.35068 Helffer, B.; Hoffmann-Ostenhof, T. 12 2007 On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current. Zbl 1223.82070 Helffer, B. 12 2011 Splitting in large dimension and infrared estimates. II: Moment inequalities. Zbl 0920.35124 Helffer, B. 11 1998 Semiclassical eigenvalue estimates under magnetic steps. Zbl 1536.35227 Assaad, Wafaa; Helffer, Bernard; Kachmar, Ayman 3 2024 Quantum tunneling in deep potential wells and strong magnetic field revisited. Zbl 1540.35273 Helffer, Bernard; Kachmar, Ayman 2 2024 Discussing semigroup bounds with resolvent estimates. Zbl 07812578 Helffer, Bernard; Sjöstrand, Johannes; Viola, Joe 1 2024 Flux and symmetry effects on quantum tunneling. Zbl 07940258 Helffer, Bernard; Kachmar, Ayman; Sundqvist, Mikael Persson 1 2024 Effective operators on an attractive magnetic edge. (Opérateurs effectifs sur une discontinuité magnétique.) Zbl 1523.35134 Fournais, Søren; Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas 3 2023 Exponential localization of Steklov eigenfunctions on warped product manifolds: the flea on the elephant phenomenon. Zbl 1532.35317 Daudé, Thierry; Helffer, Bernard; Nicoleau, François 2 2023 Tunneling effect induced by a curved magnetic edge. Zbl 1500.81068 Fournais, Søren; Helffer, Bernard; Kachmar, Ayman 8 2022 Semi-classical edge states for the Robin Laplacian. Zbl 1522.35349 Helffer, Bernard; Kachmar, Ayman 5 2022 Magnetic confinement for the 3D Robin Laplacian. Zbl 1497.35104 Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas 3 2022 Computing nodal deficiency with a refined Dirichlet-to-Neumann map. Zbl 1495.35130 Berkolaiko, G.; Cox, G.; Helffer, B.; Sundqvist, M. P. 2 2022 Spectral flow for pair compatible equipartitions. Zbl 1484.35293 Helffer, Bernard; Sundqvist, Mikael Persson 2 2022 Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders. Zbl 1476.58008 Bérard, Pierre; Helffer, Bernard; Kiwan, Rola 1 2022 Improving semigroup bounds with resolvent estimates. Zbl 1496.47067 Helffer, B.; Sjöstrand, J. 18 2021 On the stability of laminar flows between plates. Zbl 1473.35393 Almog, Yaniv; Helffer, Bernard 8 2021 Courant-sharp property for Dirichlet eigenfunctions on the Möbius strip. Zbl 1477.58005 Bérard, Pierre; Helffer, Bernard; Kiwan, Rola 5 2021 Thin domain limit and counterexamples to strong diamagnetism. Zbl 1473.35523 Helffer, Bernard; Kachmar, Ayman 4 2021 Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field. Zbl 1499.81046 Cornean, Horia D.; Helffer, Bernard; Purice, Radu 2 2021 On Courant’s nodal domain property for linear combinations of eigenfunctions. II. Zbl 1472.35250 Bérard, Pierre; Helffer, Bernard 2 2021 Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains application to the extended Courant property. Zbl 1479.35581 Bérard, Pierre; Helffer, Bernard 1 2021 Courant-sharp Robin eigenvalues for the square: the case of negative Robin parameter. Zbl 1503.35117 Gittins, K.; Helffer, B. 1 2021 Sturm’s theorem on zeros of linear combinations of eigenfunctions. Zbl 1443.34026 Bérard, Pierre; Helffer, Bernard 15 2020 Sturm’s theorem on the zeros of sums of eigenfunctions: Gelfand’s strategy implemented. Zbl 1472.34004 Bérard, Pierre; Helffer, Bernard 6 2020 Courant-sharp Robin eigenvalues for the square: the case with small Robin parameter. Zbl 1434.35025 Gittins, K.; Helffer, B. 5 2020 The spectrum of a Schrödinger operator in a wire-like domain with a purely imaginary degenerate potential in the semiclassical limit. Zbl 1458.35285 Almog, Y.; Helffer, B. 4 2020 On a Schrödinger operator with a purely imaginary potential in the semiclassical limit. Zbl 1426.35099 Almog, Y.; Grebenkov, D. S.; Helffer, B. 10 2019 Inequalities for the lowest magnetic Neumann eigenvalue. Zbl 1415.35213 Fournais, S.; Helffer, B. 9 2019 Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator. Zbl 1484.47070 Helffer, Bernard; Liu, Qinghui; Qu, Yanhui; Zhou, Qi 7 2019 Courant-sharp Robin eigenvalues for the square and other planar domains. Zbl 1444.35118 Gittins, Katie; Helffer, Bernard 7 2019 On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator. III: Magnetic fields that change sign. Zbl 1415.35214 Helffer, Bernard; Kovařík, Hynek; Sundqvist, Mikael P. 3 2019 Peierls’ substitution for low lying spectral energy windows. Zbl 1440.35053 Cornean, Horia D.; Helffer, Bernard; Purice, Radu 3 2019 On spectral properties of the Bloch-Torrey operator in two dimensions. Zbl 1387.35427 Grebenkov, Denis S.; Helffer, Bernard 15 2018 Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains. Zbl 1386.81075 Almog, Y.; Grebenkov, D. S.; Helffer, B. 12 2018 On Courant’s nodal domain property for linear combinations of eigenfunctions. I. Zbl 1403.35192 Bérard, Pierre H.; Helffer, Bernard 10 2018 The density of superconductivity in domains with corners. Zbl 1454.35362 Helffer, Bernard; Kachmar, Ayman 9 2018 A beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames. Zbl 1407.35237 Cornean, Horia D.; Helffer, Bernard; Purice, Radu 5 2018 Pleijel’s theorem for Schrödinger operators with radial potentials. Zbl 1384.35048 Charron, Philippe; Helffer, Bernard; Hoffmann-Ostenhof, Thomas 2 2018 Eigenvalues for the Robin Laplacian in domains with variable curvature. Zbl 1364.35215 Helffer, Bernard; Kachmar, Ayman 28 2017 Nodal and spectral minimal partitions – The state of the art in 2016. Zbl 1373.49050 Bonnaillie-Noël, Virginie; Helffer, Bernard 19 2017 Tunneling for the Robin Laplacian in smooth planar domains. Zbl 1361.35119 Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas 17 2017 The complex Airy operator on the line with a semipermeable barrier. Zbl 1430.47001 Grebenkov, Denis S.; Helffer, Bernard; Henry, Raphael 16 2017 On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator. Zbl 1356.81132 Helffer, Bernard; Sundqvist, Mikael Persson 11 2017 Dirichlet eigenfunctions in the cube, sharpening the Courant nodal inequality. Zbl 1386.35297 Helffer, Bernard; Kiwan, Rola 5 2017 Low lying spectral gaps induced by slowly varying magnetic fields. Zbl 1372.35255 Cornean, Horia D.; Helffer, Bernard; Purice, Radu 5 2017 Decay of superconductivity away from the magnetic zero set. Zbl 1382.35285 Helffer, Bernard; Kachmar, Ayman 5 2017 Mixed normal-superconducting states in the presence of strong electric currents. Zbl 1361.35171 Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 4 2017 On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator in non-simply connected domains. Zbl 1414.35134 Helffer, Bernard; Persson Sundqvist, M. 4 2017 From constant to non-degenerately vanishing magnetic fields in superconductivity. Zbl 1361.82039 Helffer, Bernard; Kachmar, Ayman 2 2017 Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in \(\mathbb{R}^2\). Zbl 1391.35020 Bérard, Pierre; Helffer, Bernard 1 2017 On nodal domains in Euclidean balls. Zbl 1362.35200 Helffer, Bernard; Sundqvist, Mikael Persson 17 2016 Magnetic wells in dimension three. Zbl 1351.81053 Helffer, Bernard; Kordyukov, Yuri; Raymond, Nicolas; Ngọc, San Vũ 15 2016 Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle. Zbl 1382.58021 Bérard, Pierre; Helffer, Bernard 12 2016 Chambers’s formula for the graphene and the Hou model with kagome periodicity and applications. Zbl 1341.82125 Helffer, Bernard; Kerdelhué, Philippe; Royo-Letelier, Jimena 10 2016 The weak Pleijel theorem with geometric control. Zbl 1372.35194 Bérard, Pierre; Helffer, Bernard 5 2016 A. Stern’s analysis of the nodal sets of some families of spherical harmonics revisited. Zbl 1351.33014 Bérard, P.; Helffer, B. 3 2016 Degenerate parabolic operators of Kolmogorov type with a geometric control condition. Zbl 1311.93042 Beauchard, Karine; Helffer, Bernard; Henry, Raphael; Robbiano, Luc 24 2015 Tunneling between corners for Robin Laplacians. Zbl 1319.35129 Helffer, Bernard; Pankrashkin, Konstantin 20 2015 On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent. Zbl 1332.35241 Almog, Yaniv; Helffer, Bernard 18 2015 Dirichlet eigenfunctions of the square membrane: Courant’s property, and A. Stern’s and Å. Pleijel’s analyses. Zbl 1390.35209 Bérard, Pierre; Helffer, Bernard 15 2015 The Ginzburg-Landau functional with vanishing magnetic field. Zbl 1331.35330 Helffer, Bernard; Kachmar, Ayman 14 2015 Nodal domains in the square – the Neumann case. Zbl 1342.35198 Helffer, Bernard; Sundqvist, Mikael Persson 10 2015 A review on large \(k\) minimal spectral \(k\)-partitions and Pleijel’s theorem. Zbl 1346.35132 Helffer, B.; Hoffmann-Ostenhof, T. 9 2015 Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator. Zbl 1338.81187 Helffer, Bernard; Kordyukov, Yuri A. 7 2015 Nodal sets of eigenfunctions, Antonie Stern’s results revisited. Zbl 1379.35203 Bérard, Pierre; Helffer, Bernard 4 2015 Edited extracts from Antonie Stern’s thesis. Zbl 1379.35204 Bérard, Pierre; Helffer, Bernard 2 2015 Global stability of the normal state of superconductors in the presence of a strong electric current. Zbl 1304.35662 Almog, Yaniv; Helffer, Bernard 10 2014 Semiclassical spectral asymptotics for a magnetic Schrödinger operator with non-vanishing magnetic field. Zbl 1317.81101 Helffer, Bernard; Kordyukov, Yuri A. 9 2014 Remarks on the boundary set of spectral equipartitions. Zbl 1322.35006 Bérard, P.; Helffer, B. 5 2014 Minimal partitions for anisotropic tori. Zbl 1321.58006 Helffer, Bernard; Hoffmann-Ostenhof, Thomas 5 2014 Spectral theory and its applications. Zbl 1279.47002 Helffer, Bernard 81 2013 On a magnetic characterization of spectral minimal partitions. Zbl 1282.35259 Helffer, Bernard; Hoffmann-Ostenhof, Thomas 15 2013 Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. Zbl 1267.82139 Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 10 2013 Sharp trace asymptotics for a class of \(2D\)-magnetic operators. (Asymptotiques précisées pour la trace d’une classe d’opérateurs de Schrödinger magnétiques en dimension 2.) Zbl 1301.35070 Cornean, Horia D.; Fournais, Søren; Frank, Rupert L.; Helffer, Bernard 7 2013 Eigenvalue estimates for a three-dimensional magnetic Schrödinger operator. Zbl 1325.35123 Helffer, Bernard; Kordyukov, Yuri A. 3 2013 Spectral minimal partitions for a thin strip on a cylinder or a thin annulus like domain with Neumann condition. Zbl 1273.35029 Helffer, Bernard; Hoffmann-Ostenhof, Thomas 3 2013 On spectral minimal partitions: the disk revisited. Zbl 1389.35022 Bonnaillie-Noël, Virginie; Helffer, Bernard 2 2013 Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator II: The case of degenerate wells. Zbl 1247.35084 Helffer, Bernard; Kordyukov, Yuri A. 7 2012 Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. II: The large conductivity limit. Zbl 1263.82074 Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 6 2012 Superconductivity between \(H_{C_2}\) and \(H_{C_3}\). Zbl 1225.34097 Fournais, Søren; Helffer, Bernard; Persson, Mikael 14 2011 Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square with application to minimal partitions. Zbl 1270.35025 Bonnaillie-Noël, V.; Helffer, B. 14 2011 On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current. Zbl 1223.82070 Helffer, B. 12 2011 Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator: the case of discrete wells. Zbl 1218.58017 Helffer, Bernard; Kordyukov, Yuri A. 9 2011 Introduction to some conjectures for spectral minimal partitions. Zbl 1247.35181 Helffer, B. 8 2011 Subellipticity and maximal hypoellipticity for two complex vector fields in \((2+2)\)-variables. Zbl 1235.35073 Derridj, Makhlouf; Helffer, Bernard 3 2011 Spectral methods in surface superconductivity. Zbl 1256.35001 Fournais, Søren; Helffer, Bernard 156 2010 On spectral minimal partitions: the case of the sphere. Zbl 1230.35072 Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna 32 2010 On spectral minimal partitions: a survey. Zbl 1225.35158 Helffer, B. 25 2010 Numerical simulations for nodal domains and spectral minimal partitions. Zbl 1191.35189 Bonnaillie-Noël, Virginie; Helffer, Bernard; Vial, Gregory 17 2010 The Montgomery model revisited. Zbl 1207.34110 Helffer, B. 15 2010 Spectral properties of higher order anharmonic oscillators. Zbl 1302.47069 Helffer, B.; Persson, M. 10 2010 Superconductivity near the normal state under the action of electric currents and induced magnetic fields in \(\mathbb R^2\). Zbl 1201.35179 Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin 9 2010 Nodal minimal partitions in dimension 3. Zbl 1193.35162 Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna 9 2010 On minimal partitions: new properties and applications to the disk. Zbl 1231.35011 Helffer, Bernard; Hoffmann-Ostenhof, Thomas 8 2010 Remarks on two notions of spectral minimal partitions. Zbl 1222.35067 Helffer, Bernard; Hoffmann-Ostenhof, Thomas 6 2010 Bulk superconductivity in type II superconductors near the second critical field. Zbl 1188.82152 Fournais, Soren; Helffer, Bernard 4 2010 On the subellipticity of some hypoelliptic quasihomogeneous systems of complex vector fields. Zbl 1201.35093 Derridj, M.; Helffer, B. 4 2010 Magnetic calculus and semiclassical trace formulas. Zbl 1204.81066 Helffer, B.; Purice, R. 2 2010 Nodal domains and spectral minimal partitions. Zbl 1171.35083 Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S. 80 2009 Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. Zbl 1196.35031 Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T. 18 2009 Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom. Zbl 1184.35233 Helffer, B.; Kordyukov, Y. A. 15 2009 On mathematical models for Bose-Einstein condensates in optical lattices. Zbl 1171.82304 Aftalion, Amandine; Helffer, Bernard 15 2009 ...and 184 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,903 Authors 150 Helffer, Bernard 44 Sjöstrand, Johannes 43 Kachmar, Ayman 37 Raymond, Nicolas 31 Martinez, André 29 Ruzhansky, Michael V. 28 Robert, Didier 25 Pan, Xingbin 22 Fournais, Søren 20 Cornean, Horia D. 19 Nourrigat, Jean Francois 18 Almog, Yaniv 18 Parmeggiani, Alberto 18 Wang, Xueping 17 Bonnaillie-Noël, Virginie 17 Gérard, Christian 17 Sundqvist, Mikael Persson 17 Zworski, Maciej 16 Lewin, Mathieu 16 Rodino, Luigi 15 Fujiié, Setsuro 15 Hérau, Frédéric 15 Mughetti, Marco 15 Nier, Francis 15 Pankrashkin, Konstantin 14 Klein, Markus 14 Nicola, Fabio 14 Purice, Radu 13 Bérard, Pierre H. 13 Kordyukov, Yuri A. 13 Léna, Corentin 13 Morame, Abderemane 13 Rougerie, Nicolas 12 Derridj, Makhlouf 12 Jitomirskaya, Svetlana Yakovlevna 12 Nakamura, Shu 12 Popoff, Nicolas 12 Sobolev, Alexander V. 11 Anikin, Anatolii Yur’evich 11 Bony, Jean-François 11 Correggi, Michele 11 Dimassi, Mouez 11 Exner, Pavel 11 Frank, Rupert L. 11 Klopp, Frédéric 11 Ramond, Thierry 11 Senoussaoui, Abderrahmane 10 Abatangelo, Laura 10 Dobrokhotov, Sergei Yurievich 10 Fischer, Véronique 10 Grebenkov, Denis S. 10 Le Peutrec, Dorian 10 Lelièvre, Tony 10 Ludwig, Ursula Beate 10 Măntoiu, Marius Laurențiu 10 Rivière, Gabriel 10 Sigal, Israel Michael 10 Simon, Barry 10 Steinerberger, Stefan 10 Terracini, Susanna 9 Bove, Antonio 9 Briet, Philippe 9 Bruneau, Vincent 9 Christ, Michael 9 Felli, Veronica 9 Hainzl, Christian 9 Himonas, A. Alexandrou 9 Krejčiřík, David 9 Pravda-Starov, Karel 9 Vũ Ngọc, San 9 Zerzeri, Maher 8 Assaad, Wafaa 8 Bolley, Catherine 8 Colbois, Bruno 8 Dauge, Monique 8 Fedotov, Andrey A. 8 Galkowski, Jeffrey 8 Haslinger, Friedrich 8 Hoffmann-Ostenhof, Thomas 8 Kennedy, James Bernard 8 Michel, Laurent 8 Nectoux, Boris 8 Pavliotis, Grigorios A. 8 Petronilho, Gerson 8 Pilipović, Stevan 8 Rosenberger, Elke 8 Rothschild, Linda Preiss 8 Séré, Eric 8 Tamura, Hideo 8 Tokmagambetov, Niyaz Esenzholovich 8 Wang, Xue Ping 7 Berkolaiko, Gregory 7 Burq, Nicolas 7 Cappiello, Marco 7 Chatzakou, Marianna 7 Cordero, Elena 7 Franchi, Bruno 7 Grigis, Alain 7 Hislop, Peter D. 7 Hitrik, Michael ...and 1,803 more Authors all top 5 Cited in 324 Serials 157 Communications in Mathematical Physics 156 Journal of Functional Analysis 112 Journal of Mathematical Physics 78 Communications in Partial Differential Equations 61 Annales Henri Poincaré 56 Journal of Spectral Theory 55 Journal of Differential Equations 55 Annales de l’Institut Henri Poincaré. 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EDP et Applications 4 Acta Mathematica 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 Journal of the Mathematical Society of Japan ...and 224 more Serials all top 5 Cited in 58 Fields 1,550 Partial differential equations (35-XX) 767 Quantum theory (81-XX) 528 Operator theory (47-XX) 358 Statistical mechanics, structure of matter (82-XX) 332 Global analysis, analysis on manifolds (58-XX) 170 Probability theory and stochastic processes (60-XX) 169 Ordinary differential equations (34-XX) 108 Dynamical systems and ergodic theory (37-XX) 106 Functional analysis (46-XX) 84 Numerical analysis (65-XX) 76 Topological groups, Lie groups (22-XX) 76 Differential geometry (53-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 56 Optics, electromagnetic theory (78-XX) 55 Abstract harmonic analysis (43-XX) 53 Several complex variables and analytic spaces (32-XX) 48 Fluid mechanics (76-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 32 Mechanics of particles and systems (70-XX) 31 Systems theory; control (93-XX) 29 Real functions (26-XX) 28 Difference and functional equations (39-XX) 23 Special functions (33-XX) 21 Combinatorics (05-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 Algebraic geometry (14-XX) 19 Measure and integration (28-XX) 18 Number theory (11-XX) 18 Manifolds and cell complexes (57-XX) 16 Functions of a complex variable (30-XX) 15 Potential theory (31-XX) 14 Relativity and gravitational theory (83-XX) 13 Biology and other natural sciences (92-XX) 12 Mechanics of deformable solids (74-XX) 11 General and overarching topics; collections (00-XX) 11 Integral equations (45-XX) 10 Integral transforms, operational calculus (44-XX) 10 Convex and discrete geometry (52-XX) 8 Statistics (62-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 \(K\)-theory (19-XX) 6 Nonassociative rings and algebras (17-XX) 5 History and biography (01-XX) 5 Group theory and generalizations (20-XX) 5 Approximations and expansions (41-XX) 5 Computer science (68-XX) 5 Geophysics (86-XX) 4 Geometry (51-XX) 4 Algebraic topology (55-XX) 4 Information and communication theory, circuits (94-XX) 3 Field theory and polynomials (12-XX) 3 Sequences, series, summability (40-XX) 3 Astronomy and astrophysics (85-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Operations research, mathematical programming (90-XX) 1 Category theory; homological algebra (18-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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