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Lieb, Elliott H.

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Author ID: lieb.elliott-h Recent zbMATH articles by "Lieb, Elliott H."
Published as: Lieb, Elliott H.; Lieb, E. H.; Lieb, Elliot H.; Lieb, Elliott; Lieb, Eliott H.; Lieb, E.
External Links: MGP · Wikidata · GND
Documents Indexed: 253 Publications since 1957, including 12 Books
Biographic References: 8 Publications
all top 5

Co-Authors

58 single-authored
37 Seiringer, Robert
31 Frank, Rupert L.
27 Yngvason, Jakob
24 Carlen, Eric Anders
22 Loss, Michael
20 Solovej, Jan Philip
12 Almgren, Frederick Justin jun.
7 Brézis, Haïm
7 Siedentop, Heinz Karl Heinrich
6 Brascamp, Herm Jan
5 Thomas, Lawrence E.
4 Giuliani, Alessandro
4 Lebowitz, Joel Louis
4 Lewin, Mathieu
3 Aizenman, Michael
3 Bach, Volker
3 Heilmann, Ole J.
3 Jauslin, Ian
3 Mattis, Daniel Charles
3 Simon, Barry
3 Yau, Horng-Tzer
2 Benguria, Rafael D.
2 Coron, Jean-Michel
2 Daubechies, Ingrid Chantal
2 Liniger, Werner
2 McCann, Robert J.
2 Rougerie, Nicolas
2 Wightman, Arthur Strong
1 Ball, Keith Martin
1 Barnes, John F.
1 Bellazzini, Jacopo
1 Beyer, William A.
1 Browder, William
1 Caffarelli, Luis Ángel
1 Chayes, Jennifer Tour
1 Chayes, Lincoln
1 Conlon, Joseph G.
1 Cordero-Erausquin, Dario
1 Davies, Edward Brian
1 Decker, Colin
1 Fellbaum, Christiane
1 Freericks, James K.
1 Fröhlich, Jürg Martin
1 Griesemer, Marcel
1 Hundertmark, Dirk
1 Iantchenko, Alexei
1 Ivanisvili, Paata
1 Jansen, Sabine
1 Jerison, David S.
1 Kennedy, Tom
1 Kleitman, Daniel J.
1 Koppe, Heinz
1 Kulkarni, Sanjeev R.
1 Laptev, Ari
1 Lazarev, Oleg
1 Lewis, Roger T.
1 Luttinger, Joaquin M.
1 Nachtergaele, Bruno
1 Narnhofer, Heide
1 Osherson, Daniel N.
1 Ostrover, Yaron
1 Pedersen, Gert Kjærgård
1 Poor, Harold Vincent
1 Predd, Joel B.
1 Reuvers, Robin
1 Ruskai, Mary Beth
1 Sabin, Julien
1 Sakakura, A. Y.
1 Schultz, Theodore
1 Seiler, Ruedi
1 Sherman, Seymour
1 Stein, Elias Menachem
1 Stephens, Benjamin K.
1 Temperley, H. V. N.
1 Thirring, Walter E.
1 Travaglia, Marcos Vinicio
1 Ueltschi, Daniel
1 Yamazaki, Kazuo
1 Yang, Yisong
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Serials

44 Communications in Mathematical Physics
11 Journal of Mathematical Physics
11 Journal of Statistical Physics
8 Advances in Mathematics
7 Letters in Mathematical Physics
7 Physical Review, II. Series
4 Inventiones Mathematicae
4 Journal of Functional Analysis
4 Annals of Mathematics. Second Series
3 Physica A
3 Reviews in Mathematical Physics
3 Bulletin of the American Mathematical Society. New Series
3 Physical Review Letters
2 Reviews of Modern Physics
2 Duke Mathematical Journal
2 Indiana University Mathematics Journal
2 Studies in Applied Mathematics
2 Journal of the American Mathematical Society
2 The Journal of Geometric Analysis
2 Geometric and Functional Analysis. GAFA
2 Linear Algebra and its Applications
2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
2 Notices of the American Mathematical Society
2 Advances in Theoretical and Mathematical Physics
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Bulletin of the American Mathematical Society
2 Journal of Combinatorial Theory
2 Graduate Studies in Mathematics
2 Journal of Physics A: Mathematical and Theoretical
2 Pure and Applied Analysis
1 International Journal of Modern Physics B
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 Helvetica Physica Acta
1 IEEE Transactions on Information Theory
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Physics Reports
1 Reports on Mathematical Physics
1 Arkiv för Matematik
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Publications Mathématiques
1 Journal of Economic Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Advances in Applied Mathematics
1 Annals of Physics
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Mathematical Analysis
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Calculus of Variations and Partial Differential Equations
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Mathematical Research Letters
1 Methods and Applications of Analysis
1 Documenta Mathematica
1 ELA. The Electronic Journal of Linear Algebra
1 Journal of the European Mathematical Society (JEMS)
1 Annales Henri Poincaré
1 Journal of Mathematics and Mechanics
1 Oberwolfach Seminars
1 Physical Review A, Third Series
1 Bulletin of Mathematical Sciences
1 Journal de l’École Polytechnique – Mathématiques
1 Princeton Series in Physics
all top 5

Fields

107 Quantum theory (81-XX)
78 Statistical mechanics, structure of matter (82-XX)
51 Partial differential equations (35-XX)
41 Functional analysis (46-XX)
23 Operator theory (47-XX)
21 Real functions (26-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
15 Information and communication theory, circuits (94-XX)
12 Global analysis, analysis on manifolds (58-XX)
12 Probability theory and stochastic processes (60-XX)
11 History and biography (01-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Measure and integration (28-XX)
6 Combinatorics (05-XX)
5 General and overarching topics; collections (00-XX)
5 Potential theory (31-XX)
5 Astronomy and astrophysics (85-XX)
4 Difference and functional equations (39-XX)
3 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
1 Number theory (11-XX)
1 Group theory and generalizations (20-XX)
1 Ordinary differential equations (34-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

213 Publications have been cited 8,826 times in 6,340 Documents Cited by Year
A relation between pointwise convergence of functions and convergence of functionals. Zbl 0526.46037
Brézis, Haïm; Lieb, Elliott H.
925
1983
Analysis. 2nd ed. Zbl 0966.26002
Lieb, Elliott H.; Loss, Michael
681
2001
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Zbl 0527.42011
Lieb, Elliott H.
503
1983
Existence and uniqueness of the minimizing solution of Choquard’s nonlinear equation. Zbl 0369.35022
Lieb, Elliott H.
357
1977
On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation. Zbl 0334.26009
Brascamp, Herm Jan; Lieb, Elliott H.
322
1976
Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ’percolation’ problem. Zbl 0211.56703
Temperley, H. V. N.; Lieb, Elliott H.
238
1971
Two soluble models of an antiferromagnetic chain. Zbl 0129.46401
Lieb, Elliott H.; Schultz, Theodore; Mattis, D.
229
1961
Theory of monomer-dimer systems. Zbl 0228.05131
Heilmann, Ole J.; Lieb, Elliott H.
199
1972
Exact analysis of an interaction Bose gas. I: The general solution and the ground state. Zbl 0138.23001
Lieb, Elliott H.; Liniger, Werner
193
1963
Harmonic maps with defects. Zbl 0608.58016
Brézis, Haïm; Coron, Jean-Michel; Lieb, Elliott H.
184
1986
Convex trace functions and the Wigner-Yanase-Dyson conjecture. Zbl 0267.46055
Lieb, Elliott H.
181
1973
The mathematics of the Bose gas and its condensation. Zbl 1104.82012
Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob
167
2005
The Thomas-Fermi theory of atoms, molecules and solids. Zbl 0938.81568
Lieb, Elliott H.; Simon, Barry
167
1977
The Chandrasekhar theory of stellar collapse as the limit quantum mechanics. Zbl 0641.35065
Lieb, Elliott H.; Yau, Horng-Tzer
138
1987
Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities. Zbl 0342.35044
Lieb, Elliott H.; Thirring, Walter E.
128
1976
Best constants in Young’s inequality, its converse, and its generalization to more than three functions. Zbl 0339.26020
Brascamp, Herm Jan; Lieb, Elliott H.
127
1976
Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037
Ball, Keith; Carlen, Eric A.; Lieb, Elliott H.
123
1994
The Thomas-Fermi-von Weizsäcker theory of atoms and molecules. Zbl 0478.49035
Benguria, Rafael; Brézis, Haïm; Lieb, Elliott H.
119
1981
A general rearrangement inequality for multiple integrals. Zbl 0286.26005
Brascamp, H. J.; Lieb, Elliott H.; Luttinger, J. M.
117
1974
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Zbl 1202.35146
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
116
2008
Symmetric decreasing rearrangement is sometimes continuous. Zbl 0688.46014
Almgren, Frederick J. jun.; Lieb, Elliott H.
102
1989
Bounds on the eigenvalues of the Laplace and Schrödinger operators. Zbl 0329.35018
Lieb, Elliott H.
96
1976
Ground states in non-relativistic quantum electrodynamics. Zbl 1044.81133
Griesemer, Marcel; Lieb, Elliott H.; Loss, Michael
96
2001
The classical limit of quantum spin systems. Zbl 1125.82305
Lieb, Elliott H.
95
1973
On the lowest eigenvalue of the Laplacian for the intersection of two domains. Zbl 0538.35058
Lieb, Elliott H.
94
1983
Gaussian kernels have only Gaussian maximizers. Zbl 0726.42005
Lieb, Elliott H.
83
1990
Thomas-Fermi and related theories of atoms and molecules. Zbl 1114.81336
Lieb, Elliott H.
81
1981
The stability of matter in quantum mechanics. Zbl 1179.81004
Lieb, Elliott H.; Seiringer, Robert
80
2009
Minimum action solutions of some vector field equations. Zbl 0579.35025
Brézis, Haïm; Lieb, Elliott H.
79
1984
The stability and instability of relativistic matter. Zbl 0686.35099
Lieb, Elliott H.; Yau, Horng-Tzer
78
1988
Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095
Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip
72
1994
Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Zbl 1233.82004
Lieb, Elliott H.; Seiringer, Robert
66
2006
A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. Zbl 0996.82010
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
65
2001
Stability of Coulomb systems with magnetic fields. I: The one-electron atom. Zbl 0595.35098
Fröhlich, Jürg; Lieb, Elliott H.; Loss, Michael
63
1986
Thomas-Fermi and related theories of atoms and molecules. Zbl 1049.81679
Lieb, Elliott H.
63
1981
Proof of an entropy conjecture of Wehrl. Zbl 0385.60089
Lieb, Elliott H.
62
1978
Sobolev inequalities with remainder terms. Zbl 0577.46031
Brézis, Haïm; Lieb, Elliott H.
62
1985
Analysis. Zbl 0873.26002
Lieb, Elliott H.; Loss, Michael
61
1996
Sharp constants in several inequalities on the Heisenberg group. Zbl 1252.42023
Frank, Rupert L.; Lieb, Elliott H.
60
2012
Exact analysis of an interacting Bose gas. II: The excitation spectrum. Zbl 0138.23002
Lieb, Elliott H.
60
1963
The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei. Zbl 1049.82501
Lieb, Eliott H.; Lebowitz, Joel L.
54
1972
Monotonicity of a relative Rényi entropy. Zbl 1350.94020
Frank, Rupert L.; Lieb, Elliott H.
49
2013
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
46
2010
Integral bounds for radar ambiguity functions and Wigner distributions. Zbl 0704.46050
Lieb, Elliott H.
45
1990
Some operator inequalities of the Schwarz type. Zbl 0274.46045
Lieb, Elliott H.; Ruskai, Mary Beth
44
1974
A sharp analog of Young’s inequality on \(S^N\) and related entropy inequalities. Zbl 1056.43002
Carlen, E. A.; Lieb, E. H.; Loss, M.
41
2004
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Zbl 1160.81382
Frank, Rupert L.; Laptev, Ari; Lieb, Elliott H.; Seiringer, Robert
39
2006
Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions. Zbl 0807.47058
Lieb, Elliott H.; Solovej, Jan Philip; Yngvason, Jakob
38
1994
Existence of atoms and molecules in non-relativistic quantum electrodynamics. Zbl 1058.81080
Lieb, Elliott H.; Loss, Michael
36
2003
The stability of matter: From atoms to stars. Zbl 0698.35135
Lieb, Elliott H.
35
1990
On the case of equality in the Brunn-Minkowski inequality for capacity. Zbl 0847.31005
Caffarelli, Luis A.; Jerison, David; Lieb, Elliott H.
35
1996
Some inequalities for Gaussian measures and the long-range order of the one-dimensional plasma. Zbl 0348.26011
Brascamp, H. J.; Lieb, Elliott H.
35
1975
The physics and mathematics of the second law of thermodynamics. Zbl 1027.80504
Lieb, Elliott H.; Yngvason, Jakob
34
1999
Some convexity and subadditivity properties of entropy. Zbl 0308.94020
Lieb, Elliott H.
34
1975
On characteristic exponents in turbulence. Zbl 0598.76054
Lieb, Elliott H.
34
1984
Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities. Zbl 0796.46054
Carlen, Eric A.; Lieb, Elliott H.
34
1993
Exact ground state energy of the strong-coupling polaron. Zbl 0874.60095
Lieb, Elliott H.; Thomas, Lawrence E.
33
1997
The ground state energy of a dilute two-dimensional Bose gas. Zbl 1115.82306
Lieb, Elliott H.; Yngvason, Jakob
33
2001
Proofs of some conjectures on permanents. Zbl 0144.26802
Lieb, Elliott H.
33
1966
Ordering energy levels of interacting spin systems. Zbl 0101.45302
Lieb, Elliott H.; Mattis, Daniel
32
1962
A Minkowski type trace inequality and strong subadditivity of quantum entropy. II: Convexity and concavity. Zbl 1171.47015
Carlen, Eric A.; Lieb, Elliott H.
31
2008
A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator. Zbl 0929.34076
Hundertmark, Dirk; Lieb, Elliott H.; Thomas, Lawrence E.
31
1998
The ground state energy and density of interacting bosons in a trap. Zbl 1043.82515
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
31
2000
Ground state energy of the one-component charged Bose gas. Zbl 1042.82004
Lieb, Elliott H.; Solovej, Jan Philip
31
2002
Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds. Zbl 0673.58013
Almgren, Frederick J. jun.; Lieb, Elliot H.
30
1988
Concavity properties and a generating function for Stirling numbers. Zbl 0164.33002
Lieb, Elliott H.
30
1968
Long range atomic potentials in Thomas-Fermi theory. Zbl 0416.35066
Brézis, Haïm; Lieb, Elliott H.
29
1979
A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1297.39023
Frank, Rupert L.; Lieb, Elliott H.
28
2012
Fluxes, Laplacians, and Kasteleyn’s theorem. Zbl 0787.05083
Lieb, Elliott H.; Loss, Michael
28
1993
Ground state energy of the two-component charged Bose gas. Zbl 1124.82303
Lieb, Elliott H.; Solovej, Jan Philip
27
2004
One-electron relativistic molecules with Coulomb interaction. Zbl 0946.81522
Daubechies, Ingrid; Lieb, Elliott H.
27
1983
Bose-Einstein condensation of dilute gases in traps. Zbl 1041.81107
Lieb, Elliott H.; Seiringer, Robert
27
2003
Asymptotics of heavy atoms in high magnetic fields. I: Lowest Landau band regions. Zbl 0800.49041
Lieb, Elliott H.; Solovej, Jan Philip; Yngvason, Jakob
27
1994
A compactness lemma and its application to the existence of minimizers for the liquid drop model. Zbl 1332.49042
Frank, Rupert L.; Lieb, Elliott H.
24
2015
Stability of matter in magnetic fields. Zbl 1020.81957
Lieb, Elliott H.; Loss, Michael; Solovej, Jan Philip
24
1995
An itinerant electron model with crystalline or magnetic long range order. Zbl 1002.82508
Kennedy, Tom; Lieb, Elliott H.
24
1986
Stability of Coulomb systems with magnetic fields. II. The many-electron atom and the one-electron molecule. Zbl 0607.35082
Lieb, Elliott H.; Loss, Michael
23
1986
The thermodynamic limit for jellium. Zbl 0973.82500
Lieb, Elliott H.; Narnhofer, Heide
23
1975
Co-area, liquid crystals, and minimal surfaces. Zbl 0645.58015
Almgren, F.; Browder, W.; Lieb, E. H.
22
1988
Equivalent forms of the Bessis-Moussa-Villani conjecture. Zbl 1157.81313
Lieb, Elliott H.; Seiringer, Robert
21
2004
A positive density analogue of the Lieb-Thirring inequality. Zbl 1260.35088
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
19
2013
Theory of ferromagnetism and the ordering of electronic energy levels. Zbl 0118.46202
Lieb, Elliott H.; Mattis, D.
18
1962
One-dimensional behavior of dilute, trapped Bose gases. Zbl 1075.82002
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
18
2004
Strichartz inequality for orthonormal functions. Zbl 1307.35245
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
18
2014
A bound on binding energies and mass renormalization in models of quantum electrodynamics. Zbl 1027.81040
Lieb, Elliott H.; Loss, Michael
17
2002
Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
17
2014
Studies in mathematical physics. Essays in honor of Valentine Bargmann. Zbl 0326.00007
Lieb, Elliott H. (ed.); Simon, Barry (ed.); Wightman, Arthur S. (ed.)
16
1976
The number of bound states of one-body Schrödinger operators and the Weyl problem. Zbl 0445.58029
Lieb, Elliott H.
15
1980
Ground-state energy and effective mass of the polaron. Zbl 0100.42504
Lieb, Elliott H.; Yamazaki, Kazuo
15
1958
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
14
2006
Non-abelian vortices in supersymmetric gauge field theory via direct methods. Zbl 1255.81216
Lieb, Elliott H.; Yang, Yisong
14
2012
Symmetry of the Ginzburg-Landau minimizer in a disc. Zbl 0842.49014
Lieb, Elliott H.; Loss, Michael
14
1994
A note on polarization vectors in quantum electrodynamics. Zbl 1102.81070
Lieb, Elliott H.; Loss, Michael
13
2004
Stability and absence of binding for multi-polaron systems. Zbl 1227.82083
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert; Thomas, Lawrence E.
13
2011
Remainder terms for some quantum entropy inequalities. Zbl 1292.81021
Carlen, Eric A.; Lieb, Elliott H.
13
2014
A guide to entropy and second law of thermodynamics. Zbl 1038.80504
Lieb, Elliott H.; Yngvason, Jakob
13
1998
A Minkowski type trace inequality and strong subadditivity of quantum entropy. Zbl 0933.47014
Carlen, Eric A.; Lieb, Elliott H.
13
1999
Poincaré inequalities in punctured domains. Zbl 1048.26012
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
13
2003
Bose-Einstein condensation as a quantum phase transition in an optical lattice. Zbl 1170.82325
Aizenman, M.; Lieb, E. H.; Seiringer, R.; Solovej, J. P.; Yngvason, J.
12
2006
Proof of an entropy conjecture for Bloch coherent spin states and its generalizations. Zbl 1298.81116
Lieb, Elliott H.; Solovej, Jan Philip
12
2014
The local density approximation in density functional theory. Zbl 1435.35320
Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
3
2020
Divergence of the effective mass of a polaron in the strong coupling limit. Zbl 1446.81045
Lieb, Elliott H.; Seiringer, Robert
2
2020
Local incompressibility estimates for the Laughlin phase. Zbl 1410.82009
Lieb, Elliott H.; Rougerie, Nicolas; Yngvason, Jakob
4
2019
Periodic energy minimizers for a one-dimensional liquid drop model. Zbl 1428.82062
Frank, Rupert L.; Lieb, Elliott H.
1
2019
Inequalities for quantum divergences and the Audenaert-Datta conjecture. Zbl 1414.81064
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
8
2018
A “liquid-solid” phase transition in a simple model for swarming, based on the “no flat-spots” theorem for subharmonic functions. Zbl 1420.49040
Frank, Rupert; Lieb, Elliott H.
7
2018
Statistical mechanics of the uniform electron gas. (Mécanique statistique pour le gaz uniforme d’électrons.) Zbl 1404.82003
Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
7
2018
Rigidity of the Laughlin liquid. Zbl 1398.81326
Lieb, Elliott H.; Rougerie, Nicolas; Yngvason, Jakob
5
2018
Nematic liquid crystal phase in a system of interacting dimers and monomers. Zbl 1400.82320
Jauslin, Ian; Lieb, Elliott H.
2
2018
Norms of quantum Gaussian multi-mode channels. Zbl 1366.81091
Frank, Rupert L.; Lieb, Elliott H.
7
2017
Maximizers for the Stein-Tomas inequality. Zbl 1357.42023
Frank, Rupert L.; Lieb, Elliott H.; Sabin, Julien
11
2016
Some operator and trace function convexity theorems. Zbl 1342.47024
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
10
2016
A Pfaffian formula for monomer-dimer partition functions. Zbl 1342.82161
Giuliani, Alessandro; Jauslin, Ian; Lieb, Elliott H.
5
2016
On a quantum entropy power inequality of Audenaert, Datta, and Ozols. Zbl 1341.81015
Carlen, Eric A.; Lieb, Elliott H.; Loss, Michael
3
2016
Entropy and entanglement bounds for reduced density matrices of fermionic states. Zbl 1342.81031
Carlen, Eric A.; Lieb, Elliott H.; Reuvers, Robin
3
2016
A compactness lemma and its application to the existence of minimizers for the liquid drop model. Zbl 1332.49042
Frank, Rupert L.; Lieb, Elliott H.
24
2015
Columnar phase in quantum dimer models. Zbl 1320.82011
Giuliani, Alessandro; Lieb, Elliott H.
2
2015
Strichartz inequality for orthonormal functions. Zbl 1307.35245
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
18
2014
Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
17
2014
Remainder terms for some quantum entropy inequalities. Zbl 1292.81021
Carlen, Eric A.; Lieb, Elliott H.
13
2014
Proof of an entropy conjecture for Bloch coherent spin states and its generalizations. Zbl 1298.81116
Lieb, Elliott H.; Solovej, Jan Philip
12
2014
Formation of stripes and slabs near the ferromagnetic transition. Zbl 1302.82018
Giuliani, Alessandro; Lieb, Elliott H.; Seiringer, Robert
4
2014
Equivalence of two definitions of the effective mass of a polaron. Zbl 1295.81055
Lieb, Elliott H.; Seiringer, Robert
3
2014
Existence of ground states for negative ions at the binding threshold. Zbl 1302.81099
Bellazzini, Jacopo; Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
3
2014
Ground state properties of multi-polaron systems. Zbl 1304.82075
Frank, R. L.; Lieb, E. H.; Seiringer, R.; Thomas, L. E.
2
2014
Entropy meters and the entropy of non-extensive systems. Zbl 1371.80005
Lieb, Elliott H.; Yngvason, Jakob
1
2014
Monotonicity of a relative Rényi entropy. Zbl 1350.94020
Frank, Rupert L.; Lieb, Elliott H.
49
2013
A positive density analogue of the Lieb-Thirring inequality. Zbl 1260.35088
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
19
2013
Extended quantum conditional entropy and quantum uncertainty inequalities. Zbl 1280.81022
Frank, Rupert L.; Lieb, Elliott H.
6
2013
Asymmetric covariance estimates of Brascamp-Lieb type and related inequalities for log-concave measures. Zbl 1270.26016
Carlen, Eric A.; Cordero-Erausquin, Dario; Lieb, Elliott H.
5
2013
The entropy concept for non-equilibrium states. Zbl 1371.80004
Lieb, Elliott H.; Yngvason, Jakob
3
2013
On an extension problem for density matrices. Zbl 1282.81020
Carlen, Eric A.; Lebowitz, Joel L.; Lieb, Elliott H.
3
2013
A smooth complex generalization of the Hobby-Rice theorem. Zbl 1295.41025
Lazarev, Oleg; Lieb, Elliott H.
2
2013
Unique equilibria and substitution effects in a stochastic model of the marriage market. Zbl 1275.91098
Decker, Colin; Lieb, Elliott H.; McCann, Robert J.; Stephens, Benjamin K.
2
2013
Symmetry of bipolaron bound states for small Coulomb repulsion. Zbl 1269.82064
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
1
2013
Sharp constants in several inequalities on the Heisenberg group. Zbl 1252.42023
Frank, Rupert L.; Lieb, Elliott H.
60
2012
A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1297.39023
Frank, Rupert L.; Lieb, Elliott H.
28
2012
Non-abelian vortices in supersymmetric gauge field theory via direct methods. Zbl 1255.81216
Lieb, Elliott H.; Yang, Yisong
14
2012
Binding of polarons and atoms at threshold. Zbl 1250.82046
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
9
2012
Bounds for entanglement via an extension of strong subadditivity of entropy. Zbl 1254.81019
Carlen, Eric A.; Lieb, Elliott H.
7
2012
Entropy and the uncertainty principle. Zbl 1256.81022
Frank, Rupert L.; Lieb, Elliott H.
4
2012
Further implications of the Bessis-Moussa-Villani conjecture. Zbl 1257.82009
Lieb, Elliott H.; Seiringer, Robert
1
2012
Stability and absence of binding for multi-polaron systems. Zbl 1227.82083
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert; Thomas, Lawrence E.
13
2011
Spherical reflection positivity and the Hardy-Littlewood-Sobolev inequality. Zbl 1378.39013
Frank, Rupert L.; Lieb, Elliott H.
4
2011
Binding, stability, and non-binding of multi-polaron systems. Zbl 1245.82073
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert; Thomas, Lawrence E.
2
2011
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
46
2010
Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. Zbl 1203.81072
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
10
2010
Localization of multidimensional Wigner distributions. Zbl 1314.81129
Lieb, Elliott H.; Ostrover, Yaron
4
2010
The stability of matter in quantum mechanics. Zbl 1179.81004
Lieb, Elliott H.; Seiringer, Robert
80
2009
Periodic minimizers in 1D local mean field theory. Zbl 1173.82008
Giuliani, Alessandro; Lebowitz, Joel L.; Lieb, Elliott H.
12
2009
Probabilistic coherence and proper scoring rules. Zbl 1367.94139
Predd, Joel B.; Seiringer, Robert; Lieb, Elliott H.; Osherson, Daniel N.; Poor, H. Vincent; Kulkarni, Sanjeev R.
8
2009
Symmetry breaking in Laughlin’s state on a cylinder. Zbl 1155.81032
Jansen, S.; Lieb, E. H.; Seiler, R.
5
2009
Short proofs of theorems of Mirsky and Horn on diagonals and eigenvalues of matrices. Zbl 1190.15009
Carlen, Eric A.; Lieb, Elliott H.
2
2009
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Zbl 1202.35146
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
116
2008
A Minkowski type trace inequality and strong subadditivity of quantum entropy. II: Convexity and concavity. Zbl 1171.47015
Carlen, Eric A.; Lieb, Elliott H.
31
2008
Brascamp–Lieb inequalities for non-commutative integration. Zbl 1173.46045
Carlen, Eric A.; Lieb, Elliott H.
2
2008
Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. Zbl 1135.81030
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
10
2007
Bose-Einstein condensation and spontaneous symmetry breaking. Zbl 1160.82308
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
4
2007
Number of bound states of Schrödinger operators with matrix-valued potentials. Zbl 1135.35052
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
4
2007
Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Zbl 1233.82004
Lieb, Elliott H.; Seiringer, Robert
66
2006
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Zbl 1160.81382
Frank, Rupert L.; Laptev, Ari; Lieb, Elliott H.; Seiringer, Robert
39
2006
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
14
2006
Bose-Einstein condensation as a quantum phase transition in an optical lattice. Zbl 1170.82325
Aizenman, M.; Lieb, E. H.; Seiringer, R.; Solovej, J. P.; Yngvason, J.
12
2006
Ground-state energy of a dilute Fermi gas. Zbl 1114.82004
Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip
3
2006
Ferromagnetism of the Hubbard model at strong coupling in the Hartree-Fock approximation. Zbl 1125.82031
Bach, Volker; Lieb, Elliott H.; Travaglia, Marcos V.
2
2006
Some matrix rearrangement inequalities. Zbl 1197.15011
Carlen, Eric; Lieb, Elliott H.
2
2006
The mathematics of the Bose gas and its condensation. Zbl 1104.82012
Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob
167
2005
The quantum-mechanical many-body problem: the Bose gas. Zbl 1113.82007
Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob
6
2005
One-dimensional behavior of dilute Bose gases in traps. Zbl 1106.82004
Seiringer, Robert; Lieb, Elliott H.; Yngvason, Jakob
6
2005
The thermodynamic limit for matter interacting with Coulomb forces and with the quantized electromagnetic field. I: The lower bound. Zbl 1115.81064
Lieb, Elliott H.; Loss, Michael
5
2005
Stronger subadditivity of entropy. Zbl 1227.82012
Lieb, Elliott H.; Seiringer, Robert
5
2005
The stability of matter: From atoms to stars. Selecta of Elliott H. Lieb. 4th ed. Zbl 1165.01331
Lieb, Elliott H.
4
2005
A sharp analog of Young’s inequality on \(S^N\) and related entropy inequalities. Zbl 1056.43002
Carlen, E. A.; Lieb, E. H.; Loss, M.
41
2004
Ground state energy of the two-component charged Bose gas. Zbl 1124.82303
Lieb, Elliott H.; Solovej, Jan Philip
27
2004
Equivalent forms of the Bessis-Moussa-Villani conjecture. Zbl 1157.81313
Lieb, Elliott H.; Seiringer, Robert
21
2004
One-dimensional behavior of dilute, trapped Bose gases. Zbl 1075.82002
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
18
2004
A note on polarization vectors in quantum electrodynamics. Zbl 1102.81070
Lieb, Elliott H.; Loss, Michael
13
2004
The stability of matter and quantum electrodynamics. Zbl 1081.81566
Lieb, Elliott H.
2
2004
Quantum mechanics, the stability of matter and quantum electrodynamics. Zbl 1255.81002
Lieb, Elliott H.
2
2004
A short appreciation of Freeman Dyson’s long career in mathematical physics. Zbl 1101.01315
Lieb, Elliott
1
2004
Existence of atoms and molecules in non-relativistic quantum electrodynamics. Zbl 1058.81080
Lieb, Elliott H.; Loss, Michael
36
2003
Bose-Einstein condensation of dilute gases in traps. Zbl 1041.81107
Lieb, Elliott H.; Seiringer, Robert
27
2003
Poincaré inequalities in punctured domains. Zbl 1048.26012
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
13
2003
The one-dimensional Hubbard model: a reminiscence. Zbl 1037.82009
Lieb, Elliott H.; Wu, F. Y.
11
2003
The entropy of classical thermodynamics. Zbl 1163.80300
Lieb, Elliott H.; Yngvason, Jakob
2
2003
Ground state energy of the one-component charged Bose gas. Zbl 1042.82004
Lieb, Elliott H.; Solovej, Jan Philip
31
2002
A bound on binding energies and mass renormalization in models of quantum electrodynamics. Zbl 1027.81040
Lieb, Elliott H.; Loss, Michael
17
2002
Stability of a model of relativistic quantum electrodynamics. Zbl 1005.81091
Lieb, Elliott H.; Loss, Michael
11
2002
Segregation in the Falicov-Kimball model. Zbl 1004.82009
Freericks, James K.; Lieb, Elliott H.; Ueltschi, Daniel
8
2002
Convex multivariable trace functions. Zbl 1034.46050
Lieb, Elliott H.; Pedersen, Gert K.
7
2002
Inequalities. Selecta of Elliott H. Lieb. Edited, with a preface and commentaries by M. Loss and M. B. Ruskai. Zbl 1159.01356
Lieb, Elliott H.
3
2002
Analysis. 2nd ed. Zbl 0966.26002
Lieb, Elliott H.; Loss, Michael
681
2001
Ground states in non-relativistic quantum electrodynamics. Zbl 1044.81133
Griesemer, Marcel; Lieb, Elliott H.; Loss, Michael
96
2001
A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. Zbl 0996.82010
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
65
2001
The ground state energy of a dilute two-dimensional Bose gas. Zbl 1115.82306
Lieb, Elliott H.; Yngvason, Jakob
33
2001
The mathematical structure of the second law of thermodynamics. Zbl 1027.80002
Lieb, Elliott H.; Yngvason, Jakob
4
2001
The ground state of the Bose gas. Zbl 1111.82300
Lieb, Elliot H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob
4
2001
The stability of matter: from atoms to stars. Selecta of Elliott H. Lieb. Edited by W. Thirring. With a preface by F. Dyson. 3rd ed. Zbl 1052.01016
Lieb, Elliott H.
1
2001
The ground state energy and density of interacting bosons in a trap. Zbl 1043.82515
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
31
2000
Renormalization of the regularized relativistic electron-positron field. Zbl 0982.81037
Lieb, Elliott H.; Siedentop, Heinz
10
2000
...and 113 more Documents
all top 5

Cited by 5,655 Authors

105 Lieb, Elliott H.
71 Frank, Rupert L.
62 Seiringer, Robert
51 Solovej, Jan Philip
48 Lewin, Mathieu
36 Fröhlich, Jürg Martin
35 Loss, Michael
35 Tang, Xianhua
33 Carlen, Eric Anders
33 Wu, Tsungfang
32 Alves, Claudianor Oliveira
32 Yang, Minbo
29 Hainzl, Christian
28 Dolbeault, Jean
28 Laptev, Ari
28 Rougerie, Nicolas
28 Schlein, Benjamin
27 Van Schaftingen, Jean
26 Chen, Sitong
26 Deng, Yinbin
26 Peng, Shuangjie
26 Phan Thành Nam
25 Ambrosio, Vincenzo
25 Siedentop, Heinz Karl Heinrich
24 Squassina, Marco
24 Zou, Wenming
23 Brézis, Haïm
23 Simon, Barry
22 Erdős, László
22 Fournais, Søren
21 Lions, Pierre-Louis
21 Miyagaki, Olimpio Hiroshi
20 Lei, Yutian
20 Rădulescu, Vicenţiu D.
19 Chen, Jianqing
19 Figueiredo, Giovany Malcher
19 Naor, Assaf
19 Petz, Dénes
19 Ruskai, Mary Beth
19 Sreenadh, Konijeti
19 Yau, Horng-Tzer
19 Yngvason, Jakob
18 Bach, Volker
18 Chen, Thomas M.
18 Lu, Guozhen
18 Miyao, Tadahiro
18 Salani, Paolo
18 Xue, Kang
17 Benguria, Rafael D.
17 Hiai, Fumio
17 Nachtergaele, Bruno
17 Pucci, Patrizia
17 Xiao, Jie
16 Chen, Caisheng
16 Hiroshima, Fumio
16 Li, Congming
16 Sigal, Israel Michael
16 Spohn, Herbert
16 Sun, Juntao
15 Cao, Daomin
15 Carrillo de la Plata, José Antonio
15 Faupin, Jérémy
15 Griesemer, Marcel
15 Hansen, Frank-Peter
15 Nguyễn Văn Hoàng
15 Serfaty, Sylvia
15 Wang, Zhi-Qiang
15 Yang, Jianfu
14 Bez, Neal
14 Esteban, Maria J.
14 Hsu, TsingSan
14 Tintarev, Kyril
13 Fiscella, Alessio
13 Guo, Yujin
13 Helffer, Bernard
13 Lü, Dengfeng
13 Mironescu, Petru
13 Slavnov, Nikita A.
13 Suragan, Durvudkhan
13 Tasaki, Hal
13 Vazquez, Juan Luis
12 Bobkov, Sergey Germanovich
12 Chen, Haibo
12 Cianchi, Andrea
12 Csikvári, Péter
12 Gao, Fashun
12 Hajaiej, Hichem
12 Lenzmann, Enno
12 Li, Gongbao
12 Li, YanYan
12 Millot, Vincent
12 Peral Alonso, Ireneo
12 Ruzhansky, Michael V.
12 Sun, Chunfang
12 Valdinoci, Enrico
11 Barbaroux, Jean-Marie
11 Choi, Woocheol
11 Correggi, Michele
11 Dou, Jingbo
11 Fall, Mouhamed Moustapha
...and 5,555 more Authors
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Cited in 532 Serials

390 Journal of Mathematical Physics
372 Communications in Mathematical Physics
250 Journal of Functional Analysis
247 Journal of Mathematical Analysis and Applications
218 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
191 Journal of Statistical Physics
181 Journal of Differential Equations
172 Calculus of Variations and Partial Differential Equations
106 Archive for Rational Mechanics and Analysis
102 Letters in Mathematical Physics
100 Advances in Mathematics
86 Annales Henri Poincaré
84 Proceedings of the American Mathematical Society
84 Linear Algebra and its Applications
76 Transactions of the American Mathematical Society
73 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
71 Communications in Partial Differential Equations
71 Journal of Statistical Mechanics: Theory and Experiment
68 Communications in Contemporary Mathematics
64 Discrete and Continuous Dynamical Systems
57 Communications on Pure and Applied Analysis
53 Reviews in Mathematical Physics
43 The Journal of Geometric Analysis
43 Advanced Nonlinear Studies
40 ZAMP. Zeitschrift für angewandte Mathematik und Physik
40 Journal de Mathématiques Pures et Appliquées. Neuvième Série
40 Potential Analysis
40 Journal of Physics A: Mathematical and Theoretical
37 Annali di Matematica Pura ed Applicata. Serie Quarta
37 Nonlinear Analysis. Theory, Methods & Applications
35 International Journal of Modern Physics B
35 Mathematische Annalen
34 Comptes Rendus. Mathématique. Académie des Sciences, Paris
33 Duke Mathematical Journal
33 Applied Mathematics Letters
33 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
31 Theoretical and Mathematical Physics
31 SIAM Journal on Mathematical Analysis
31 Journal of High Energy Physics
29 Discrete Mathematics
29 The Annals of Probability
29 Journal of the European Mathematical Society (JEMS)
29 Quantum Information Processing
29 Science China. Mathematics
28 Computers & Mathematics with Applications
28 Advances in Nonlinear Analysis
26 International Journal of Theoretical Physics
26 NoDEA. Nonlinear Differential Equations and Applications
25 Applicable Analysis
25 Inventiones Mathematicae
25 Manuscripta Mathematica
25 Probability Theory and Related Fields
25 Bulletin of the American Mathematical Society. New Series
25 Journal of Mathematical Sciences (New York)
25 Complex Variables and Elliptic Equations
24 Communications on Pure and Applied Mathematics
24 Journal of Combinatorial Theory. Series A
23 Journal d’Analyse Mathématique
23 Mathematische Zeitschrift
23 Boundary Value Problems
22 Nuclear Physics. B
22 Abstract and Applied Analysis
21 Mathematical Methods in the Applied Sciences
21 New Journal of Physics
19 Journal of Computational Physics
19 Acta Mathematica Sinica. English Series
18 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
18 Physical Review Letters
17 Nonlinearity
17 Applied Mathematics and Computation
17 Acta Applicandae Mathematicae
17 Revista Matemática Iberoamericana
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Annales de l’Institut Henri Poincaré. Physique Théorique
17 Mediterranean Journal of Mathematics
16 Discrete Applied Mathematics
16 Reports on Mathematical Physics
16 Annales de l’Institut Fourier
16 Monatshefte für Mathematik
16 Journal of the American Mathematical Society
16 St. Petersburg Mathematical Journal
16 International Journal of Quantum Information
15 Journal of Algebra
15 Mathematische Nachrichten
15 Stochastic Processes and their Applications
15 The Journal of Fourier Analysis and Applications
15 Mathematical Physics, Analysis and Geometry
15 Infinite Dimensional Analysis, Quantum Probability and Related Topics
15 Bulletin of Mathematical Sciences
14 Acta Mathematica
14 Topological Methods in Nonlinear Analysis
14 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
13 Mathematical Notes
13 Archiv der Mathematik
13 Integral Equations and Operator Theory
13 Advances in Applied Mathematics
13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
13 Nonlinear Analysis. Real World Applications
13 Milan Journal of Mathematics
...and 432 more Serials
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Cited in 62 Fields

2,996 Partial differential equations (35-XX)
1,476 Quantum theory (81-XX)
1,166 Statistical mechanics, structure of matter (82-XX)
701 Functional analysis (46-XX)
657 Operator theory (47-XX)
476 Probability theory and stochastic processes (60-XX)
405 Calculus of variations and optimal control; optimization (49-XX)
390 Global analysis, analysis on manifolds (58-XX)
374 Real functions (26-XX)
269 Combinatorics (05-XX)
221 Information and communication theory, circuits (94-XX)
200 Linear and multilinear algebra; matrix theory (15-XX)
188 Differential geometry (53-XX)
183 Harmonic analysis on Euclidean spaces (42-XX)
175 Fluid mechanics (76-XX)
174 Convex and discrete geometry (52-XX)
134 Integral equations (45-XX)
118 Numerical analysis (65-XX)
105 Dynamical systems and ergodic theory (37-XX)
100 Group theory and generalizations (20-XX)
98 Ordinary differential equations (34-XX)
87 Potential theory (31-XX)
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76 Measure and integration (28-XX)
65 Statistics (62-XX)
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42 Number theory (11-XX)
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40 Functions of a complex variable (30-XX)
36 Integral transforms, operational calculus (44-XX)
36 Classical thermodynamics, heat transfer (80-XX)
35 Computer science (68-XX)
32 Several complex variables and analytic spaces (32-XX)
22 Approximations and expansions (41-XX)
18 Category theory; homological algebra (18-XX)
18 Geometry (51-XX)
17 History and biography (01-XX)
17 General topology (54-XX)
14 Order, lattices, ordered algebraic structures (06-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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13 General and overarching topics; collections (00-XX)
10 Algebraic topology (55-XX)
8 Geophysics (86-XX)
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6 Algebraic geometry (14-XX)
6 Sequences, series, summability (40-XX)
3 General algebraic systems (08-XX)
3 Mathematics education (97-XX)
2 Field theory and polynomials (12-XX)

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