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Lieb, Elliott Hershel

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Author ID: lieb.elliott-h Recent zbMATH articles by "Lieb, Elliott Hershel"
Published as: Lieb, Elliott H.; Lieb, E. H.; Lieb, Elliot H.; Lieb, Elliott; Lieb, Eliott H.; Lieb, E.
Homepage: https://web.math.princeton.edu/~lieb/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef
Awards: Carl Friedrich Gauss Prize (2022)
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Co-Authors

56 single-authored
37 Seiringer, Robert
32 Frank, Rupert L.
29 Yngvason, Jakob
26 Carlen, Eric Anders
24 Loss, Michael
23 Solovej, Jan Philip
12 Almgren, Frederick Justin jun.
7 Brézis, Haïm
7 Siedentop, Heinz Karl Heinrich
6 Brascamp, Herm Jan
5 Jauslin, Ian
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 Mattis, Daniel Charles
3 Nachtergaele, Bruno
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 Almgren, Robert F.
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 DeWitt-Morette, Cécile
1 Epstein, David Bernard Alper
1 Epstein, Henri
1 Fellbaum, Christiane
1 Flato, Moshé
1 Freericks, James K.
1 Fröhlich, Jürg Martin
1 Ginibre, Jean
1 Glaser, Vladimir Jurko
1 Glimm, James G.
1 Griesemer, Marcel
1 Griffiths, Robert B.
1 Hepp, Klaus
1 Hundertmark, Dirk
1 Iantchenko, Alexei
1 Ivanisvili, Paata
1 Jaffe, Arthur Michael
1 Jansen, Sabine
1 Jerison, David S.
1 Kennedy, Tom
1 Kleitman, Daniel J.
1 Koppe, Heinz
1 Kulkarni, Sanjeev R.
1 Kusner, Robert B.
1 Lanford, Oscar E. III
1 Laptev, Ari
1 Lazarev, Oleg
1 Lewis, Roger T.
1 Luttinger, Joaquin M.
1 Marden, Albert
1 Morgan, Frank
1 Narnhofer, Heide
1 Osherson, Daniel N.
1 Ostrover, Yaron
1 Pedersen, Gert Kjærgård
1 Poor, Harold Vincent
1 Predd, Joel B.
1 Reshetnyak, Yuriĭ Grigor’evich
1 Reuvers, Robin
1 Ruelle, David Pierre
1 Ruskai, Mary Beth
1 Sabin, Julien
1 Sakakura, A. Y.
1 Sanches Fernandes, K.
1 Schultz, Theodore
1 Seiler, Ruedi
1 Sherman, Seymour
1 Stein, Elias Menachem
1 Stephens, Benjamin K.
1 Stora, Raymond
1 Sullivan, John M. jun.
1 Taylor, Jean Ellen
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 Letters in Mathematical Physics
8 Advances in Mathematics
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 SIAM Journal on Mathematical Analysis
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 IMRN. International Mathematics Research Notices
1 Annals of Physics
1 Proceedings of the National Academy of Sciences of the United States of America
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Experimental Mathematics
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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
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
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Fields

108 Quantum theory (81-XX)
79 Statistical mechanics, structure of matter (82-XX)
53 Partial differential equations (35-XX)
42 Functional analysis (46-XX)
24 Operator theory (47-XX)
23 Real functions (26-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
16 Information and communication theory, circuits (94-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
14 Probability theory and stochastic processes (60-XX)
13 History and biography (01-XX)
12 Global analysis, analysis on manifolds (58-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Measure and integration (28-XX)
9 Classical thermodynamics, heat transfer (80-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 Topological groups, Lie groups (22-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

220 Publications have been cited 9,885 times in 7,111 Documents Cited by Year
A relation between pointwise convergence of functions and convergence of functionals. Zbl 0526.46037
Brézis, Haïm; Lieb, Elliott H.
1983
Analysis. 2nd ed. Zbl 0966.26002
Lieb, Elliott H.; Loss, Michael
791
2001
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Zbl 0527.42011
Lieb, Elliott H.
575
1983
Existence and uniqueness of the minimizing solution of Choquard’s nonlinear equation. Zbl 0369.35022
Lieb, Elliott H.
447
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.
368
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.
263
1971
Two soluble models of an antiferromagnetic chain. Zbl 0129.46401
Lieb, Elliott H.; Schultz, Theodore; Mattis, D.
249
1961
Theory of monomer-dimer systems. Zbl 0228.05131
Heilmann, Ole J.; Lieb, Elliott H.
220
1972
Exact analysis of an interaction Bose gas. I: The general solution and the ground state. Zbl 0138.23001
Lieb, Elliott H.; Liniger, Werner
212
1963
Harmonic maps with defects. Zbl 0608.58016
Brézis, Haïm; Coron, Jean-Michel; Lieb, Elliott H.
193
1986
Convex trace functions and the Wigner-Yanase-Dyson conjecture. Zbl 0267.46055
Lieb, Elliott H.
191
1973
The mathematics of the Bose gas and its condensation. Zbl 1104.82012
Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob
188
2005
The Thomas-Fermi theory of atoms, molecules and solids. Zbl 0938.81568
Lieb, Elliott H.; Simon, Barry
180
1977
The Chandrasekhar theory of stellar collapse as the limit quantum mechanics. Zbl 0641.35065
Lieb, Elliott H.; Yau, Horng-Tzer
164
1987
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.
142
1976
The Thomas-Fermi-von Weizsäcker theory of atoms and molecules. Zbl 0478.49035
Benguria, Rafael; Brézis, Haïm; Lieb, Elliott H.
138
1981
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.
137
1976
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Zbl 1202.35146
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
137
2008
Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037
Ball, Keith; Carlen, Eric A.; Lieb, Elliott H.
135
1994
A general rearrangement inequality for multiple integrals. Zbl 0286.26005
Brascamp, H. J.; Lieb, Elliott H.; Luttinger, J. M.
127
1974
Symmetric decreasing rearrangement is sometimes continuous. Zbl 0688.46014
Almgren, Frederick J. jun.; Lieb, Elliott H.
111
1989
On the lowest eigenvalue of the Laplacian for the intersection of two domains. Zbl 0538.35058
Lieb, Elliott H.
106
1983
Ground states in non-relativistic quantum electrodynamics. Zbl 1044.81133
Griesemer, Marcel; Lieb, Elliott H.; Loss, Michael
104
2001
Bounds on the eigenvalues of the Laplace and Schrödinger operators. Zbl 0329.35018
Lieb, Elliott H.
102
1976
The classical limit of quantum spin systems. Zbl 1125.82305
Lieb, Elliott H.
99
1973
Thomas-Fermi and related theories of atoms and molecules. Zbl 1114.81336
Lieb, Elliott H.
90
1981
Gaussian kernels have only Gaussian maximizers. Zbl 0726.42005
Lieb, Elliott H.
90
1990
The stability of matter in quantum mechanics. Zbl 1179.81004
Lieb, Elliott H.; Seiringer, Robert
89
2009
Minimum action solutions of some vector field equations. Zbl 0579.35025
Brézis, Haïm; Lieb, Elliott H.
86
1984
The stability and instability of relativistic matter. Zbl 0686.35099
Lieb, Elliott H.; Yau, Horng-Tzer
81
1988
Thomas-Fermi and related theories of atoms and molecules. Zbl 1049.81679
Lieb, Elliott H.
76
1981
Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095
Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip
75
1994
Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Zbl 1233.82004
Lieb, Elliott H.; Seiringer, Robert
72
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
72
2001
Sharp constants in several inequalities on the Heisenberg group. Zbl 1252.42023
Frank, Rupert L.; Lieb, Elliott H.
72
2012
Sobolev inequalities with remainder terms. Zbl 0577.46031
Brézis, Haïm; Lieb, Elliott H.
68
1985
Stability of Coulomb systems with magnetic fields. I: The one-electron atom. Zbl 0595.35098
Fröhlich, Jürg; Lieb, Elliott H.; Loss, Michael
67
1986
Proof of an entropy conjecture of Wehrl. Zbl 0385.60089
Lieb, Elliott H.
65
1978
Exact analysis of an interacting Bose gas. II: The excitation spectrum. Zbl 0138.23002
Lieb, Elliott H.
65
1963
Analysis. Zbl 0873.26002
Lieb, Elliott H.; Loss, Michael
62
1996
Monotonicity of a relative Rényi entropy. Zbl 1350.94020
Frank, Rupert L.; Lieb, Elliott H.
57
2013
The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei. Zbl 1049.82501
Lieb, Eliott H.; Lebowitz, Joel L.
56
1972
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
51
2010
Integral bounds for radar ambiguity functions and Wigner distributions. Zbl 0704.46050
Lieb, Elliott H.
49
1990
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.
47
2004
Some operator inequalities of the Schwarz type. Zbl 0274.46045
Lieb, Elliott H.; Ruskai, Mary Beth
45
1974
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Zbl 1160.81382
Frank, Rupert L.; Laptev, Ari; Lieb, Elliott H.; Seiringer, Robert
44
2006
The physics and mathematics of the second law of thermodynamics. Zbl 1027.80504
Lieb, Elliott H.; Yngvason, Jakob
41
1999
On the case of equality in the Brunn-Minkowski inequality for capacity. Zbl 0847.31005
Caffarelli, Luis A.; Jerison, David; Lieb, Elliott H.
41
1996
The stability of matter: From atoms to stars. Zbl 0698.35135
Lieb, Elliott H.
41
1990
Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions. Zbl 0807.47058
Lieb, Elliott H.; Solovej, Jan Philip; Yngvason, Jakob
39
1994
Exact ground state energy of the strong-coupling polaron. Zbl 0874.60095
Lieb, Elliott H.; Thomas, Lawrence E.
38
1997
On characteristic exponents in turbulence. Zbl 0598.76054
Lieb, Elliott H.
37
1984
Some inequalities for Gaussian measures and the long-range order of the one-dimensional plasma. Zbl 0348.26011
Brascamp, H. J.; Lieb, Elliott H.
37
1975
A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator. Zbl 0929.34076
Hundertmark, Dirk; Lieb, Elliott H.; Thomas, Lawrence E.
36
1998
Existence of atoms and molecules in non-relativistic quantum electrodynamics. Zbl 1058.81080
Lieb, Elliott H.; Loss, Michael
36
2003
Proofs of some conjectures on permanents. Zbl 0144.26802
Lieb, Elliott H.
36
1966
A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1297.39023
Frank, Rupert L.; Lieb, Elliott H.
36
2012
Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities. Zbl 0796.46054
Carlen, Eric A.; Lieb, Elliott H.
35
1993
The ground state energy of a dilute two-dimensional Bose gas. Zbl 1115.82306
Lieb, Elliott H.; Yngvason, Jakob
34
2001
Some convexity and subadditivity properties of entropy. Zbl 0308.94020
Lieb, Elliott H.
33
1975
A Minkowski type trace inequality and strong subadditivity of quantum entropy. II: Convexity and concavity. Zbl 1171.47015
Carlen, Eric A.; Lieb, Elliott H.
33
2008
Ground state energy of the one-component charged Bose gas. Zbl 1042.82004
Lieb, Elliott H.; Solovej, Jan Philip
33
2002
Ordering energy levels of interacting spin systems. Zbl 0101.45302
Lieb, Elliott H.; Mattis, Daniel
32
1962
Concavity properties and a generating function for Stirling numbers. Zbl 0164.33002
Lieb, Elliott H.
32
1968
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.
31
1988
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.
31
2015
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 two-component charged Bose gas. Zbl 1124.82303
Lieb, Elliott H.; Solovej, Jan Philip
30
2004
Long range atomic potentials in Thomas-Fermi theory. Zbl 0416.35066
Brézis, Haïm; Lieb, Elliott H.
30
1979
Fluxes, Laplacians, and Kasteleyn’s theorem. Zbl 0787.05083
Lieb, Elliott H.; Loss, Michael
29
1993
One-electron relativistic molecules with Coulomb interaction. Zbl 0946.81522
Daubechies, Ingrid; Lieb, Elliott H.
29
1983
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
Bose-Einstein condensation of dilute gases in traps. Zbl 1041.81107
Lieb, Elliott H.; Seiringer, Robert
27
2003
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
The thermodynamic limit for jellium. Zbl 0973.82500
Lieb, Elliott H.; Narnhofer, Heide
24
1975
Strichartz inequality for orthonormal functions. Zbl 1307.35245
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
23
2014
Equivalent forms of the Bessis-Moussa-Villani conjecture. Zbl 1157.81313
Lieb, Elliott H.; Seiringer, Robert
23
2004
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
Co-area, liquid crystals, and minimal surfaces. Zbl 0645.58015
Almgren, F.; Browder, W.; Lieb, E. H.
22
1988
Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
21
2014
Studies in mathematical physics. Essays in honor of Valentine Bargmann. Zbl 0326.00007
20
1976
One-dimensional behavior of dilute, trapped Bose gases. Zbl 1075.82002
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
19
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
A bound on binding energies and mass renormalization in models of quantum electrodynamics. Zbl 1027.81040
Lieb, Elliott H.; Loss, Michael
18
2002
Ground-state energy and effective mass of the polaron. Zbl 0100.42504
Lieb, Elliott H.; Yamazaki, Kazuo
18
1958
Theory of ferromagnetism and the ordering of electronic energy levels. Zbl 0118.46202
Lieb, Elliott H.; Mattis, D.
18
1962
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
15
2006
Periodic minimizers in 1D local mean field theory. Zbl 1173.82008
Giuliani, Alessandro; Lebowitz, Joel L.; Lieb, Elliott H.
15
2009
A guide to entropy and second law of thermodynamics. Zbl 1038.80504
Lieb, Elliott H.; Yngvason, Jakob
15
1998
The number of bound states of one-body Schrödinger operators and the Weyl problem. Zbl 0445.58029
Lieb, Elliott H.
15
1980
Symmetry of the Ginzburg-Landau minimizer in a disc. Zbl 0842.49014
Lieb, Elliott H.; Loss, Michael
14
1994
A Minkowski type trace inequality and strong subadditivity of quantum entropy. Zbl 0933.47014
Carlen, Eric A.; Lieb, Elliott H.
14
1999
Poincaré inequalities in punctured domains. Zbl 1048.26012
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
14
2003
Non-abelian vortices in supersymmetric gauge field theory via direct methods. Zbl 1255.81216
Lieb, Elliott H.; Yang, Yisong
14
2012
Proof of an entropy conjecture for Bloch coherent spin states and its generalizations. Zbl 1298.81116
Lieb, Elliott H.; Solovej, Jan Philip
14
2014
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
Inequalities for some operator and matrix functions. Zbl 0324.15013
Lieb, Elliott H.
13
1976
The one-dimensional Hubbard model: a reminiscence. Zbl 1037.82009
Lieb, Elliott H.; Wu, F. Y.
13
2003
Wehrl-type coherent state entropy inequalities for \(\mathrm{SU}(1,1)\) and its \(AX+B\) subgroup. Zbl 1480.81064
Lieb, Elliott H.; Solovej, Jan Philip
1
2021
Analysis of a simple equation for the ground state of the Bose gas. II: Monotonicity, convexity, and condensate fraction. Zbl 1477.35189
Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H.
1
2021
Proof of spherical flocking based on quantitative rearrangement inequalities. Zbl 1478.49020
Frank, Rupert L.; Lieb, Elliott H.
1
2021
The local density approximation in density functional theory. Zbl 1435.35320
Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
9
2020
Divergence of the effective mass of a polaron in the strong coupling limit. Zbl 1446.81045
Lieb, Elliott H.; Seiringer, Robert
4
2020
Analysis of a simple equation for the ground state energy of the Bose gas. Zbl 1465.35345
Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H.
3
2020
Inequalities that sharpen the triangle inequality for sums of \(N\) functions in \(L^p\). Zbl 1479.46029
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
1
2020
Local incompressibility estimates for the Laughlin phase. Zbl 1410.82009
Lieb, Elliott H.; Rougerie, Nicolas; Yngvason, Jakob
5
2019
Periodic energy minimizers for a one-dimensional liquid drop model. Zbl 1428.82062
Frank, Rupert L.; Lieb, Elliott H.
2
2019
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.
12
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
11
2018
Inequalities for quantum divergences and the Audenaert-Datta conjecture. Zbl 1414.81064
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
9
2018
Rigidity of the Laughlin liquid. Zbl 1398.81326
Lieb, Elliott H.; Rougerie, Nicolas; Yngvason, Jakob
6
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
13
2016
Some operator and trace function convexity theorems. Zbl 1342.47024
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
11
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
Proof of the Wehrl-type entropy conjecture for symmetric \({SU(N)}\) coherent states. Zbl 1365.81030
Lieb, Elliott H.; Solovej, Jan Philip
1
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.
31
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
23
2014
Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
21
2014
Proof of an entropy conjecture for Bloch coherent spin states and its generalizations. Zbl 1298.81116
Lieb, Elliott H.; Solovej, Jan Philip
14
2014
Remainder terms for some quantum entropy inequalities. Zbl 1292.81021
Carlen, Eric A.; Lieb, Elliott H.
13
2014
Formation of stripes and slabs near the ferromagnetic transition. Zbl 1302.82018
Giuliani, Alessandro; Lieb, Elliott H.; Seiringer, Robert
6
2014
Equivalence of two definitions of the effective mass of a polaron. Zbl 1295.81055
Lieb, Elliott H.; Seiringer, Robert
5
2014
Ground state properties of multi-polaron systems. Zbl 1304.82075
Frank, R. L.; Lieb, E. H.; Seiringer, R.; Thomas, L. E.
4
2014
Entropy meters and the entropy of non-extensive systems. Zbl 1371.80005
Lieb, Elliott H.; Yngvason, Jakob
4
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
Monotonicity of a relative Rényi entropy. Zbl 1350.94020
Frank, Rupert L.; Lieb, Elliott H.
57
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.
7
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.
7
2013
The entropy concept for non-equilibrium states. Zbl 1371.80004
Lieb, Elliott H.; Yngvason, Jakob
5
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.
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.
3
2013
Symmetry of bipolaron bound states for small Coulomb repulsion. Zbl 1269.82064
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
2
2013
Sharp constants in several inequalities on the Heisenberg group. Zbl 1252.42023
Frank, Rupert L.; Lieb, Elliott H.
72
2012
A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1297.39023
Frank, Rupert L.; Lieb, Elliott H.
36
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.
5
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.
51
2010
Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. Zbl 1203.81072
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
11
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
89
2009
Periodic minimizers in 1D local mean field theory. Zbl 1173.82008
Giuliani, Alessandro; Lebowitz, Joel L.; Lieb, Elliott H.
15
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.
10
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.
3
2009
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Zbl 1202.35146
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
137
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.
33
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
12
2007
Number of bound states of Schrödinger operators with matrix-valued potentials. Zbl 1135.35052
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
5
2007
Bose-Einstein condensation and spontaneous symmetry breaking. Zbl 1160.82308
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
4
2007
Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Zbl 1233.82004
Lieb, Elliott H.; Seiringer, Robert
72
2006
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Zbl 1160.81382
Frank, Rupert L.; Laptev, Ari; Lieb, Elliott H.; Seiringer, Robert
44
2006
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
15
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
Some matrix rearrangement inequalities. Zbl 1197.15011
Carlen, Eric; Lieb, Elliott H.
2
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
The mathematics of the Bose gas and its condensation. Zbl 1104.82012
Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob
188
2005
The quantum-mechanical many-body problem: the Bose gas. Zbl 1113.82007
Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob
7
2005
One-dimensional behavior of dilute Bose gases in traps. Zbl 1106.82004
Seiringer, Robert; Lieb, Elliott H.; Yngvason, Jakob
5
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.
47
2004
Ground state energy of the two-component charged Bose gas. Zbl 1124.82303
Lieb, Elliott H.; Solovej, Jan Philip
30
2004
Equivalent forms of the Bessis-Moussa-Villani conjecture. Zbl 1157.81313
Lieb, Elliott H.; Seiringer, Robert
23
2004
One-dimensional behavior of dilute, trapped Bose gases. Zbl 1075.82002
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
19
2004
A note on polarization vectors in quantum electrodynamics. Zbl 1102.81070
Lieb, Elliott H.; Loss, Michael
13
2004
Quantum mechanics, the stability of matter and quantum electrodynamics. Zbl 1255.81002
Lieb, Elliott H.
3
2004
The stability of matter and quantum electrodynamics. Zbl 1081.81566
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
14
2003
The one-dimensional Hubbard model: a reminiscence. Zbl 1037.82009
Lieb, Elliott H.; Wu, F. Y.
13
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
33
2002
A bound on binding energies and mass renormalization in models of quantum electrodynamics. Zbl 1027.81040
Lieb, Elliott H.; Loss, Michael
18
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
791
2001
Ground states in non-relativistic quantum electrodynamics. Zbl 1044.81133
Griesemer, Marcel; Lieb, Elliott H.; Loss, Michael
104
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
72
2001
...and 120 more Documents
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Cited by 6,285 Authors

108 Lieb, Elliott Hershel
81 Frank, Rupert L.
67 Seiringer, Robert
52 Solovej, Jan Philip
49 Lewin, Mathieu
45 Tang, Xianhua
40 Yang, Minbo
38 Fröhlich, Jürg Martin
38 Loss, Michael
37 Wu, Tsungfang
34 Carlen, Eric Anders
34 Schlein, Benjamin
33 Alves, Claudianor Oliveira
33 Laptev, Ari
32 Dolbeault, Jean
32 Rădulescu, Vicenţiu D.
31 Ambrosio, Vincenzo
31 Phan Thành Nam
30 Chen, Sitong
30 Rougerie, Nicolas
29 Hainzl, Christian
29 Peng, Shuangjie
28 Van Schaftingen, Jean
27 Siedentop, Heinz Karl Heinrich
27 Zou, Wenming
26 Deng, Yinbin
25 Chen, Jianqing
24 Squassina, Marco
23 Brézis, Haïm
23 Fournais, Søren
23 Miyagaki, Olimpio Hiroshi
23 Simon, Barry
22 Erdős, László
21 Lei, Yutian
21 Lions, Pierre-Louis
21 Lu, Guozhen
20 Bach, Volker
20 Figueiredo, Giovany Malcher
20 Pucci, Patrizia
20 Salani, Paolo
20 Sreenadh, Konijeti
19 Chen, Thomas M.
19 Naor, Assaf
19 Petz, Dénes
19 Ruskai, Mary Beth
19 Sun, Juntao
19 Yau, Horng-Tzer
19 Yngvason, Jakob
18 Hiroshima, Fumio
18 Miyao, Tadahiro
18 Xue, Kang
17 Benguria, Rafael D.
17 Carrillo de la Plata, José Antonio
17 Hansen, Frank-Peter
17 Hiai, Fumio
17 Sigal, Israel Michael
17 Spohn, Herbert
17 Xiao, Jie
16 Cao, Daomin
16 Chen, Caisheng
16 Chen, Haibo
16 Griesemer, Marcel
16 Hsu, TsingSan
16 Li, Congming
16 Nachtergaele, Bruno
16 Nguyễn Văn Hoàng
16 Wang, Zhi-Qiang
16 Yang, Jianfu
16 Zhang, Binlin
15 Esteban, Maria J.
15 Faupin, Jérémy
15 Fiscella, Alessio
15 Gao, Fashun
15 Serfaty, Sylvia
14 Bez, Neal
14 Guo, Yujin
14 Ilyin, Alexei A.
14 Li, Gongbao
14 Suragan, Durvudkhan
14 Tintarev, Kyril
14 Vazquez, Juan Luis
13 Csikvári, Péter
13 Dou, Jingbo
13 Hajaiej, Hichem
13 He, Xiaoming
13 Helffer, Bernard
13 Jeanjean, Louis
13 Lei, Chunyu
13 Lenzmann, Enno
13 Liang, Sihua
13 Lü, Dengfeng
13 Mironescu, Petru
13 Peral Alonso, Ireneo
13 Slavnov, Nikita A.
13 Tang, Chunlei
13 Tasaki, Hal
13 Vugal’ter, Semën Abramovich
12 Bobkov, Sergey Germanovich
12 Bonheure, Denis
12 Cianchi, Andrea
...and 6,185 more Authors
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Cited in 577 Serials

400 Journal of Mathematical Physics
387 Communications in Mathematical Physics
270 Journal of Mathematical Analysis and Applications
264 Journal of Functional Analysis
235 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
215 Journal of Differential Equations
201 Calculus of Variations and Partial Differential Equations
199 Journal of Statistical Physics
112 Archive for Rational Mechanics and Analysis
110 Advances in Mathematics
106 Letters in Mathematical Physics
105 Annales Henri Poincaré
93 Linear Algebra and its Applications
86 Proceedings of the American Mathematical Society
84 Journal of Statistical Mechanics: Theory and Experiment
79 Transactions of the American Mathematical Society
75 Communications in Partial Differential Equations
75 Communications on Pure and Applied Analysis
74 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
72 Discrete and Continuous Dynamical Systems
70 Communications in Contemporary Mathematics
64 The Journal of Geometric Analysis
61 Reviews in Mathematical Physics
52 ZAMP. Zeitschrift für angewandte Mathematik und Physik
49 Advanced Nonlinear Studies
46 Journal de Mathématiques Pures et Appliquées. Neuvième Série
44 Applied Mathematics Letters
43 Annali di Matematica Pura ed Applicata. Serie Quarta
42 Potential Analysis
40 Boundary Value Problems
40 Journal of Physics A: Mathematical and Theoretical
38 SIAM Journal on Mathematical Analysis
37 Nonlinear Analysis. Theory, Methods & Applications
36 International Journal of Modern Physics B
36 Mathematische Annalen
36 Comptes Rendus. Mathématique. Académie des Sciences, Paris
36 Complex Variables and Elliptic Equations
36 Advances in Nonlinear Analysis
34 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
34 Journal of High Energy Physics
33 Duke Mathematical Journal
32 Applicable Analysis
32 Theoretical and Mathematical Physics
30 Discrete Mathematics
30 The Annals of Probability
30 NoDEA. Nonlinear Differential Equations and Applications
30 Journal of the European Mathematical Society (JEMS)
30 Science China. Mathematics
29 Computers & Mathematics with Applications
29 International Journal of Theoretical Physics
29 Nuclear Physics. B
29 Quantum Information Processing
27 Mathematische Zeitschrift
26 Inventiones Mathematicae
26 Manuscripta Mathematica
25 Journal d’Analyse Mathématique
25 Journal of Combinatorial Theory. Series A
25 Bulletin of the American Mathematical Society. New Series
25 Journal of Mathematical Sciences (New York)
24 Communications on Pure and Applied Mathematics
23 Nonlinearity
22 Probability Theory and Related Fields
22 Topological Methods in Nonlinear Analysis
22 Abstract and Applied Analysis
21 Journal of Computational Physics
21 Mathematical Methods in the Applied Sciences
21 New Journal of Physics
21 Acta Mathematica Sinica. English Series
21 Mediterranean Journal of Mathematics
20 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
19 Applied Mathematics and Computation
19 Acta Applicandae Mathematicae
19 Mathematical Physics, Analysis and Geometry
18 Reports on Mathematical Physics
18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
18 Physical Review Letters
18 Acta Mathematica Scientia. Series B. (English Edition)
17 Discrete Applied Mathematics
17 Annales de l’Institut Fourier
17 Journal of Algebra
17 Monatshefte für Mathematik
17 Revista Matemática Iberoamericana
17 Journal of the American Mathematical Society
17 Annales de l’Institut Henri Poincaré. Physique Théorique
17 Nonlinear Analysis. Real World Applications
17 Milan Journal of Mathematics
17 Discrete and Continuous Dynamical Systems. Series S
16 Stochastic Processes and their Applications
16 St. Petersburg Mathematical Journal
16 Journal of Inequalities and Applications
16 International Journal of Quantum Information
16 Analysis and Mathematical Physics
16 Bulletin of Mathematical Sciences
16 Journal of Function Spaces
15 Rocky Mountain Journal of Mathematics
15 Mathematische Nachrichten
15 Physica D
15 The Journal of Fourier Analysis and Applications
15 Infinite Dimensional Analysis, Quantum Probability and Related Topics
...and 477 more Serials
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Cited in 62 Fields

3,472 Partial differential equations (35-XX)
1,601 Quantum theory (81-XX)
1,255 Statistical mechanics, structure of matter (82-XX)
765 Functional analysis (46-XX)
720 Operator theory (47-XX)
505 Probability theory and stochastic processes (60-XX)
445 Calculus of variations and optimal control; optimization (49-XX)
413 Global analysis, analysis on manifolds (58-XX)
412 Real functions (26-XX)
299 Combinatorics (05-XX)
238 Information and communication theory, circuits (94-XX)
214 Linear and multilinear algebra; matrix theory (15-XX)
209 Harmonic analysis on Euclidean spaces (42-XX)
201 Differential geometry (53-XX)
198 Convex and discrete geometry (52-XX)
198 Fluid mechanics (76-XX)
150 Integral equations (45-XX)
139 Numerical analysis (65-XX)
114 Dynamical systems and ergodic theory (37-XX)
109 Group theory and generalizations (20-XX)
108 Potential theory (31-XX)
99 Ordinary differential equations (34-XX)
88 Measure and integration (28-XX)
82 Optics, electromagnetic theory (78-XX)
74 Statistics (62-XX)
71 Associative rings and algebras (16-XX)
63 Biology and other natural sciences (92-XX)
62 Relativity and gravitational theory (83-XX)
61 Difference and functional equations (39-XX)
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59 Operations research, mathematical programming (90-XX)
56 Nonassociative rings and algebras (17-XX)
56 Abstract harmonic analysis (43-XX)
54 Manifolds and cell complexes (57-XX)
52 Mechanics of particles and systems (70-XX)
52 Astronomy and astrophysics (85-XX)
51 Special functions (33-XX)
50 Computer science (68-XX)
47 Topological groups, Lie groups (22-XX)
46 Functions of a complex variable (30-XX)
44 Number theory (11-XX)
41 Classical thermodynamics, heat transfer (80-XX)
38 Several complex variables and analytic spaces (32-XX)
37 Integral transforms, operational calculus (44-XX)
25 Approximations and expansions (41-XX)
21 Category theory; homological algebra (18-XX)
19 Systems theory; control (93-XX)
18 Geometry (51-XX)
18 General topology (54-XX)
17 History and biography (01-XX)
16 Order, lattices, ordered algebraic structures (06-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 General and overarching topics; collections (00-XX)
13 Algebraic topology (55-XX)
11 Commutative algebra (13-XX)
9 Mathematical logic and foundations (03-XX)
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9 Geophysics (86-XX)
6 Sequences, series, summability (40-XX)
4 General algebraic systems (08-XX)
3 Mathematics education (97-XX)
2 Field theory and polynomials (12-XX)

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