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Lieb, Elliott Hershel

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 · Math-Net.Ru · dblp · GND · IdRef
Videos: carmin.tv
Awards: Carl Friedrich Gauss Prize (2022) · Kyoto Prize in Basic Sciences (2023)
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Co-Authors

58 single-authored
51 Seiringer, Robert
37 Frank, Rupert L.
34 Yngvason, Jakob
28 Carlen, Eric Anders
25 Solovej, Jan Philip
24 Loss, Michael
12 Almgren, Frederick Justin jun.
9 Giuliani, Alessandro
9 Lewin, Mathieu
8 Lebowitz, Joel Louis
8 Siedentop, Heinz Karl Heinrich
7 Brézis, Haïm
6 Brascamp, Herm Jan
6 Jauslin, Ian
6 Thomas, Lawrence E.
4 Aizenman, Michael
4 Nachtergaele, Bruno
4 Simon, Barry
3 Bach, Volker
3 Heilmann, Ole J.
3 Mattis, Daniel Charles
3 Yau, Horng-Tzer
2 Benguria, Rafael D.
2 Coron, Jean-Michel
2 Daubechies, Ingrid
2 Freericks, James K.
2 Jaffe, Arthur Michael
2 Liniger, Werner
2 McCann, Robert J.
2 Narnhofer, Heide
2 Rougerie, Nicolas
2 Ruelle, David Pierre
2 Ruskai, Mary Beth
2 Schupp, Peter
2 Ueltschi, Daniel
2 Vershynina, Anna
2 Wightman, Arthur Strong
1 Almgren, Robert F.
1 Ball, Keith Martin
1 Barnes, John F.
1 Barnsley, Michael Fielding
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 Connes, Alain
1 Cordero-Erausquin, Dario
1 Davies, Edward Brian
1 Decker, Colin
1 DeWitt-Morette, Cécile
1 Eisenberg, Eli
1 Epstein, David Bernard Alper
1 Epstein, Henri
1 Evans, David E.
1 Fellbaum, Christiane
1 Flato, Moshé
1 Fröhlich, Jürg Martin
1 Gallavotti, Giovanni M.
1 Ginibre, Jean
1 Glaser, Vladimir Jurko
1 Glashow, Sheldon Lee
1 Glimm, James G.
1 Griesemer, Marcel
1 Griffiths, Robert B.
1 Hepp, Klaus
1 Hundertmark, Dirk
1 Iantchenko, Alexei
1 Ivanisvili, Paata
1 Jansen, Sabine
1 Jerison, David S.
1 Jørgensen, Palle E. T.
1 Kennedy, Tom
1 Kishimoto, Aki
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 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 Sabin, Julien
1 Sakakura, A. Y.
1 Sanches Fernandes, K.
1 Schrader, Robert
1 Schultz, Theodore
1 Seiler, Ruedi
...and 15 more Co-Authors
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Serials

44 Communications in Mathematical Physics
13 Journal of Mathematical Physics
11 Journal of Statistical Physics
9 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 Notices of the American Mathematical Society
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 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

112 Quantum theory (81-XX)
84 Statistical mechanics, structure of matter (82-XX)
53 Partial differential equations (35-XX)
42 Functional analysis (46-XX)
26 Operator theory (47-XX)
24 Real functions (26-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
17 Information and communication theory, circuits (94-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
14 History and biography (01-XX)
13 Probability theory and stochastic processes (60-XX)
12 Global analysis, analysis on manifolds (58-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Measure and integration (28-XX)
6 General and overarching topics; collections (00-XX)
6 Combinatorics (05-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 Topological groups, Lie groups (22-XX)
2 Optics, electromagnetic theory (78-XX)
1 Order, lattices, ordered algebraic structures (06-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 Numerical analysis (65-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

230 Publications have been cited 14,645 times in 10,218 Documents Cited by Year
Analysis. 2nd ed. Zbl 0966.26002
Lieb, Elliott H.; Loss, Michael
2001
A relation between pointwise convergence of functions and convergence of functionals. Zbl 0526.46037
Brézis, Haïm; Lieb, Elliott H.
1983
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Zbl 0527.42011
Lieb, Elliott H.
763
1983
Existence and uniqueness of the minimizing solution of Choquard’s nonlinear equation. Zbl 0369.35022
Lieb, Elliott H.
716
1977
Two soluble models of an antiferromagnetic chain. Zbl 0129.46401
Lieb, Elliott H.; Schultz, Theodore; Mattis, D.
473
1961
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.
455
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.
385
1971
Exact analysis of an interaction Bose gas. I: The general solution and the ground state. Zbl 0138.23001
Lieb, Elliott H.; Liniger, Werner
367
1963
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.
268
1976
Theory of monomer-dimer systems. Zbl 0228.05131
Heilmann, Ole J.; Lieb, Elliott H.
266
1972
The mathematics of the Bose gas and its condensation. Zbl 1104.82012
Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob
247
2005
Convex trace functions and the Wigner-Yanase-Dyson conjecture. Zbl 0267.46055
Lieb, Elliott H.
243
1973
The Thomas-Fermi theory of atoms, molecules and solids. Zbl 0938.81568
Lieb, Elliott H.; Simon, Barry
223
1977
Harmonic maps with defects. Zbl 0608.58016
Brézis, Haïm; Coron, Jean-Michel; Lieb, Elliott H.
215
1986
The Chandrasekhar theory of stellar collapse as the limit quantum mechanics. Zbl 0641.35065
Lieb, Elliott H.; Yau, Horng-Tzer
208
1987
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Zbl 1202.35146
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
192
2008
The Thomas-Fermi-von Weizsäcker theory of atoms and molecules. Zbl 0478.49035
Benguria, Rafael; Brézis, Haïm; Lieb, Elliott H.
192
1981
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.
186
1976
Symmetric decreasing rearrangement is sometimes continuous. Zbl 0688.46014
Almgren, Frederick J. jun.; Lieb, Elliott H.
159
1989
Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037
Ball, Keith; Carlen, Eric A.; Lieb, Elliott H.
159
1994
A general rearrangement inequality for multiple integrals. Zbl 0286.26005
Brascamp, H. J.; Lieb, Elliott H.; Luttinger, J. M.
150
1974
Bounds on the eigenvalues of the Laplace and Schrödinger operators. Zbl 0329.35018
Lieb, Elliott H.
136
1976
On the lowest eigenvalue of the Laplacian for the intersection of two domains. Zbl 0538.35058
Lieb, Elliott H.
132
1983
The classical limit of quantum spin systems. Zbl 1125.82305
Lieb, Elliott H.
125
1973
Thomas-Fermi and related theories of atoms and molecules. Zbl 1114.81336
Lieb, Elliott H.
124
1981
Ground states in non-relativistic quantum electrodynamics. Zbl 1044.81133
Griesemer, Marcel; Lieb, Elliott H.; Loss, Michael
117
2001
Sharp constants in several inequalities on the Heisenberg group. Zbl 1252.42023
Frank, Rupert L.; Lieb, Elliott H.
116
2012
Gaussian kernels have only Gaussian maximizers. Zbl 0726.42005
Lieb, Elliott H.
115
1990
Exact analysis of an interacting Bose gas. II: The excitation spectrum. Zbl 0138.23002
Lieb, Elliott H.
115
1963
The stability of matter in quantum mechanics. Zbl 1179.81004
Lieb, Elliott H.; Seiringer, Robert
112
2009
Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Zbl 1233.82004
Lieb, Elliott H.; Seiringer, Robert
105
2006
Minimum action solutions of some vector field equations. Zbl 0579.35025
Brézis, Haïm; Lieb, Elliott H.
97
1984
Thomas-Fermi and related theories of atoms and molecules. Zbl 1049.81679
Lieb, Elliott H.
96
1981
Proof of an entropy conjecture of Wehrl. Zbl 0385.60089
Lieb, Elliott H.
96
1978
The stability and instability of relativistic matter. Zbl 0686.35099
Lieb, Elliott H.; Yau, Horng-Tzer
92
1988
Sobolev inequalities with remainder terms. Zbl 0577.46031
Brézis, Haïm; Lieb, Elliott H.
91
1985
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
89
2001
Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095
Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip
87
1994
Monotonicity of a relative Rényi entropy. Zbl 1350.94020
Frank, Rupert L.; Lieb, Elliott H.
86
2013
Stability of Coulomb systems with magnetic fields. I: The one-electron atom. Zbl 0595.35098
Fröhlich, Jürg; Lieb, Elliott H.; Loss, Michael
77
1986
Analysis. Zbl 0873.26002
Lieb, Elliott H.; Loss, Michael
76
1996
The physics and mathematics of the second law of thermodynamics. Zbl 1027.80504
Lieb, Elliott H.; Yngvason, Jakob
71
1999
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
69
2010
Integral bounds for radar ambiguity functions and Wigner distributions. Zbl 0704.46050
Lieb, Elliott H.
68
1990
The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei. Zbl 1049.82501
Lieb, Eliott H.; Lebowitz, Joel L.
66
1972
The number of bound states of one-body Schrödinger operators and the Weyl problem. Zbl 0445.58029
Lieb, Elliott H.
64
1980
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.
63
2004
A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1297.39023
Frank, Rupert L.; Lieb, Elliott H.
61
2012
Exact ground state energy of the strong-coupling polaron. Zbl 0874.60095
Lieb, Elliott H.; Thomas, Lawrence E.
58
1997
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Zbl 1160.81382
Frank, Rupert L.; Laptev, Ari; Lieb, Elliott H.; Seiringer, Robert
57
2006
Studies in mathematical physics. Essays in honor of Valentine Bargmann. Zbl 0326.00007
55
1976
The stability of matter: From atoms to stars. Zbl 0698.35135
Lieb, Elliott H.
50
1990
Some operator inequalities of the Schwarz type. Zbl 0274.46045
Lieb, Elliott H.; Ruskai, Mary Beth
50
1974
On the case of equality in the Brunn-Minkowski inequality for capacity. Zbl 0847.31005
Caffarelli, Luis A.; Jerison, David; Lieb, Elliott H.
49
1996
Ground state energy of the one-component charged Bose gas. Zbl 1042.82004
Lieb, Elliott H.; Solovej, Jan Philip
46
2002
Some inequalities for Gaussian measures and the long-range order of the one-dimensional plasma. Zbl 0348.26011
Brascamp, H. J.; Lieb, Elliott H.
46
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.
45
2008
Some convexity and subadditivity properties of entropy. Zbl 0308.94020
Lieb, Elliott H.
44
1975
Ordering energy levels of interacting spin systems. Zbl 0101.45302
Lieb, Elliott H.; Mattis, Daniel
44
1962
Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions. Zbl 0807.47058
Lieb, Elliott H.; Solovej, Jan Philip; Yngvason, Jakob
43
1994
The ground state energy of a dilute two-dimensional Bose gas. Zbl 1115.82306
Lieb, Elliott H.; Yngvason, Jakob
43
2001
On characteristic exponents in turbulence. Zbl 0598.76054
Lieb, Elliott H.
43
1984
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.
42
2015
A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator. Zbl 0929.34076
Hundertmark, Dirk; Lieb, Elliott H.; Thomas, Lawrence E.
41
1998
The ground state energy and density of interacting bosons in a trap. Zbl 1043.82515
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
40
2000
Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities. Zbl 0796.46054
Carlen, Eric A.; Lieb, Elliott H.
39
1993
Proofs of some conjectures on permanents. Zbl 0144.26802
Lieb, Elliott H.
39
1966
Existence of atoms and molecules in non-relativistic quantum electrodynamics. Zbl 1058.81080
Lieb, Elliott H.; Loss, Michael
39
2003
Ground state energy of the two-component charged Bose gas. Zbl 1124.82303
Lieb, Elliott H.; Solovej, Jan Philip
37
2004
One-electron relativistic molecules with Coulomb interaction. Zbl 0946.81522
Daubechies, Ingrid; Lieb, Elliott H.
34
1983
Concavity properties and a generating function for Stirling numbers. Zbl 0164.33002
Lieb, Elliott H.
34
1968
Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
33
2014
Fluxes, Laplacians, and Kasteleyn’s theorem. Zbl 0787.05083
Lieb, Elliott H.; Loss, Michael
33
1993
Strichartz inequality for orthonormal functions. Zbl 1307.35245
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
33
2014
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.
32
1988
Long range atomic potentials in Thomas-Fermi theory. Zbl 0416.35066
Brézis, Haïm; Lieb, Elliott H.
32
1979
Asymptotics of heavy atoms in high magnetic fields. I: Lowest Landau band regions. Zbl 0800.49041
Lieb, Elliott H.; Solovej, Jan Philip; Yngvason, Jakob
31
1994
The thermodynamic limit for jellium. Zbl 0973.82500
Lieb, Elliott H.; Narnhofer, Heide
31
1975
Co-area, liquid crystals, and minimal surfaces. Zbl 0645.58015
Almgren, F.; Browder, W.; Lieb, E. H.
29
1988
Ground-state energy and effective mass of the polaron. Zbl 0100.42504
Lieb, Elliott H.; Yamazaki, Kazuo
29
1958
Bose-Einstein condensation of dilute gases in traps. Zbl 1041.81107
Lieb, Elliott H.; Seiringer, Robert
28
2003
Stability of matter in magnetic fields. Zbl 1020.81957
Lieb, Elliott H.; Loss, Michael; Solovej, Jan Philip
28
1995
Maximizers for the Stein-Tomas inequality. Zbl 1357.42023
Frank, Rupert L.; Lieb, Elliott H.; Sabin, Julien
27
2016
The local density approximation in density functional theory. Zbl 1435.35320
Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
27
2020
Theory of ferromagnetism and the ordering of electronic energy levels. Zbl 0118.46202
Lieb, Elliott H.; Mattis, D.
27
1962
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.
25
2009
Equivalent forms of the Bessis-Moussa-Villani conjecture. Zbl 1157.81313
Lieb, Elliott H.; Seiringer, Robert
24
2004
A positive density analogue of the Lieb-Thirring inequality. Zbl 1260.35088
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
24
2013
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
One-dimensional behavior of dilute, trapped Bose gases. Zbl 1075.82002
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
23
2004
The one-dimensional Hubbard model: a reminiscence. Zbl 1037.82009
Lieb, Elliott H.; Wu, F. Y.
22
2003
Proof of an entropy conjecture for Bloch coherent spin states and its generalizations. Zbl 1298.81116
Lieb, Elliott H.; Solovej, Jan Philip
21
2014
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
21
2007
Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. Zbl 1203.81072
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
19
2010
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
19
2006
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.
19
2018
A bound on binding energies and mass renormalization in models of quantum electrodynamics. Zbl 1027.81040
Lieb, Elliott H.; Loss, Michael
19
2002
Non-abelian vortices in supersymmetric gauge field theory via direct methods. Zbl 1255.81216
Lieb, Elliott H.; Yang, Yisong
18
2012
Inequalities for some operator and matrix functions. Zbl 0324.15013
Lieb, Elliott H.
18
1976
On the extension of the FKG inequality to \(n\) functions. Zbl 1507.06014
Lieb, Elliott H.; Sahi, Siddhartha
1
2022
A trace inequality of Ando, Hiai, and Okubo and a monotonicity property of the Golden-Thompson inequality. Zbl 1512.47028
Carlen, Eric A.; Lieb, Elliott H.
1
2022
Proof of spherical flocking based on quantitative rearrangement inequalities. Zbl 1478.49020
Frank, Rupert L.; Lieb, Elliott H.
11
2021
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
10
2021
Inequalities for \(L^p\)-norms that sharpen the triangle inequality and complement Hanner’s inequality. Zbl 1475.46028
Carlen, Eric A.; Frank, Rupert L.; Ivanisvili, Paata; Lieb, Elliott H.
3
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.
3
2021
On the convolution inequality \(f\geq f\star f\). Zbl 1486.42006
Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H.; Loss, Michael P.
1
2021
The local density approximation in density functional theory. Zbl 1435.35320
Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
27
2020
Divergence of the effective mass of a polaron in the strong coupling limit. Zbl 1446.81045
Lieb, Elliott H.; Seiringer, Robert
16
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.
6
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
11
2019
Some trace inequalities for exponential and logarithmic functions. Zbl 1476.15034
Carlen, Eric A.; Lieb, Elliott H.
4
2019
Periodic energy minimizers for a one-dimensional liquid drop model. Zbl 1428.82062
Frank, Rupert L.; Lieb, Elliott H.
4
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.
19
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
17
2018
Inequalities for quantum divergences and the Audenaert-Datta conjecture. Zbl 1414.81064
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
15
2018
Rigidity of the Laughlin liquid. Zbl 1398.81326
Lieb, Elliott H.; Rougerie, Nicolas; Yngvason, Jakob
8
2018
Nematic liquid crystal phase in a system of interacting dimers and monomers. Zbl 1400.82320
Jauslin, Ian; Lieb, Elliott H.
3
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
27
2016
Some operator and trace function convexity theorems. Zbl 1342.47024
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
17
2016
A Pfaffian formula for monomer-dimer partition functions. Zbl 1342.82161
Giuliani, Alessandro; Jauslin, Ian; Lieb, Elliott H.
6
2016
Entropy and entanglement bounds for reduced density matrices of fermionic states. Zbl 1342.81031
Carlen, Eric A.; Lieb, Elliott H.; Reuvers, Robin
6
2016
Proof of the Wehrl-type entropy conjecture for symmetric \({SU(N)}\) coherent states. Zbl 1365.81030
Lieb, Elliott H.; Solovej, Jan Philip
4
2016
On a quantum entropy power inequality of Audenaert, Datta, and Ozols. Zbl 1341.81015
Carlen, Eric A.; Lieb, Elliott H.; Loss, Michael
4
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.
42
2015
Columnar phase in quantum dimer models. Zbl 1320.82011
Giuliani, Alessandro; Lieb, Elliott H.
2
2015
Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
33
2014
Strichartz inequality for orthonormal functions. Zbl 1307.35245
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
33
2014
Proof of an entropy conjecture for Bloch coherent spin states and its generalizations. Zbl 1298.81116
Lieb, Elliott H.; Solovej, Jan Philip
21
2014
Remainder terms for some quantum entropy inequalities. Zbl 1292.81021
Carlen, Eric A.; Lieb, Elliott H.
16
2014
Equivalence of two definitions of the effective mass of a polaron. Zbl 1295.81055
Lieb, Elliott H.; Seiringer, Robert
10
2014
Formation of stripes and slabs near the ferromagnetic transition. Zbl 1302.82018
Giuliani, Alessandro; Lieb, Elliott H.; Seiringer, Robert
9
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
5
2014
Ground state properties of multi-polaron systems. Zbl 1304.82075
Frank, R. L.; Lieb, E. H.; Seiringer, R.; Thomas, L. E.
5
2014
Entropy meters and the entropy of non-extensive systems. Zbl 1371.80005
Lieb, Elliott H.; Yngvason, Jakob
4
2014
Monotonicity of a relative Rényi entropy. Zbl 1350.94020
Frank, Rupert L.; Lieb, Elliott H.
86
2013
A positive density analogue of the Lieb-Thirring inequality. Zbl 1260.35088
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
24
2013
Extended quantum conditional entropy and quantum uncertainty inequalities. Zbl 1280.81022
Frank, Rupert L.; Lieb, Elliott H.
14
2013
The entropy concept for non-equilibrium states. Zbl 1371.80004
Lieb, Elliott H.; Yngvason, Jakob
13
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.
10
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.
9
2013
On an extension problem for density matrices. Zbl 1282.81020
Carlen, Eric A.; Lebowitz, Joel L.; Lieb, Elliott H.
5
2013
A smooth complex generalization of the Hobby-Rice theorem. Zbl 1295.41025
Lazarev, Oleg; Lieb, Elliott H.
4
2013
Symmetry of bipolaron bound states for small Coulomb repulsion. Zbl 1269.82064
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
4
2013
Sharp constants in several inequalities on the Heisenberg group. Zbl 1252.42023
Frank, Rupert L.; Lieb, Elliott H.
116
2012
A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1297.39023
Frank, Rupert L.; Lieb, Elliott H.
61
2012
Non-abelian vortices in supersymmetric gauge field theory via direct methods. Zbl 1255.81216
Lieb, Elliott H.; Yang, Yisong
18
2012
Bounds for entanglement via an extension of strong subadditivity of entropy. Zbl 1254.81019
Carlen, Eric A.; Lieb, Elliott H.
12
2012
Binding of polarons and atoms at threshold. Zbl 1250.82046
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
9
2012
Entropy and the uncertainty principle. Zbl 1256.81022
Frank, Rupert L.; Lieb, Elliott H.
6
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.
16
2011
Spherical reflection positivity and the Hardy-Littlewood-Sobolev inequality. Zbl 1378.39013
Frank, Rupert L.; Lieb, Elliott H.
7
2011
Binding, stability, and non-binding of multi-polaron systems. Zbl 1245.82073
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert; Thomas, Lawrence E.
3
2011
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
69
2010
Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. Zbl 1203.81072
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
19
2010
Localization of multidimensional Wigner distributions. Zbl 1314.81129
Lieb, Elliott H.; Ostrover, Yaron
6
2010
The stability of matter in quantum mechanics. Zbl 1179.81004
Lieb, Elliott H.; Seiringer, Robert
112
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.
25
2009
Periodic minimizers in 1D local mean field theory. Zbl 1173.82008
Giuliani, Alessandro; Lebowitz, Joel L.; Lieb, Elliott H.
17
2009
Symmetry breaking in Laughlin’s state on a cylinder. Zbl 1155.81032
Jansen, S.; Lieb, E. H.; Seiler, R.
9
2009
Short proofs of theorems of Mirsky and Horn on diagonals and eigenvalues of matrices. Zbl 1190.15009
Carlen, Eric A.; Lieb, Elliott H.
4
2009
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Zbl 1202.35146
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
192
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.
45
2008
Brascamp–Lieb inequalities for non-commutative integration. Zbl 1173.46045
Carlen, Eric A.; Lieb, Elliott H.
4
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
21
2007
Bose-Einstein condensation and spontaneous symmetry breaking. Zbl 1160.82308
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
7
2007
Number of bound states of Schrödinger operators with matrix-valued potentials. Zbl 1135.35052
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
6
2007
Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Zbl 1233.82004
Lieb, Elliott H.; Seiringer, Robert
105
2006
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Zbl 1160.81382
Frank, Rupert L.; Laptev, Ari; Lieb, Elliott H.; Seiringer, Robert
57
2006
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
19
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.
15
2006
Ground-state energy of a dilute Fermi gas. Zbl 1114.82004
Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip
4
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.
3
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
247
2005
The stability of matter: From atoms to stars. Selecta of Elliott H. Lieb. 4th ed. Zbl 1165.01331
Lieb, Elliott H.
9
2005
Stronger subadditivity of entropy. Zbl 1227.82012
Lieb, Elliott H.; Seiringer, Robert
7
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
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
One-dimensional behavior of dilute Bose gases in traps. Zbl 1106.82004
Seiringer, Robert; Lieb, Elliott H.; Yngvason, Jakob
5
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.
63
2004
Ground state energy of the two-component charged Bose gas. Zbl 1124.82303
Lieb, Elliott H.; Solovej, Jan Philip
37
2004
Equivalent forms of the Bessis-Moussa-Villani conjecture. Zbl 1157.81313
Lieb, Elliott H.; Seiringer, Robert
24
2004
One-dimensional behavior of dilute, trapped Bose gases. Zbl 1075.82002
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
23
2004
A note on polarization vectors in quantum electrodynamics. Zbl 1102.81070
Lieb, Elliott H.; Loss, Michael
17
2004
Condensed matter physics and exactly soluble models. Selecta of Elliott H. Lieb. Edited by B. Nachtergaele, J. P. Solovej and J. Yngvason. Zbl 1113.01026
Lieb, Elliott H.
10
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
Statistical mechanics. Selecta of Elliott H. Lieb. Edited, with a preface and commentaries, by B. Nachtergaele, J. P. Solovej and J. Yngvason. Zbl 1139.82001
Lieb, Elliott H.
1
2004
Existence of atoms and molecules in non-relativistic quantum electrodynamics. Zbl 1058.81080
Lieb, Elliott H.; Loss, Michael
39
2003
Bose-Einstein condensation of dilute gases in traps. Zbl 1041.81107
Lieb, Elliott H.; Seiringer, Robert
28
2003
The one-dimensional Hubbard model: a reminiscence. Zbl 1037.82009
Lieb, Elliott H.; Wu, F. Y.
22
2003
Poincaré inequalities in punctured domains. Zbl 1048.26012
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
17
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
46
2002
A bound on binding energies and mass renormalization in models of quantum electrodynamics. Zbl 1027.81040
Lieb, Elliott H.; Loss, Michael
19
2002
...and 130 more Documents
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Cited by 9,010 Authors

112 Lieb, Elliott Hershel
100 Frank, Rupert L.
84 Seiringer, Robert
67 Tang, Xianhua
59 Yang, Minbo
57 Solovej, Jan Philip
55 Lewin, Mathieu
54 Rădulescu, Vicenţiu D.
49 Chen, Haibo
49 Tang, Chun-Lei
48 Schlein, Benjamin
46 Ambrosio, Vincenzo
46 Laptev, Ari
45 Wu, Tsungfang
41 Alves, Claudianor Oliveira
41 Carlen, Eric Anders
41 Phan Thành Nam
40 Loss, Michael
39 Dolbeault, Jean
39 Fröhlich, Jürg Martin
39 Zou, Wenming
38 Chen, Sitong
36 Rougerie, Nicolas
36 Squassina, Marco
32 Hainzl, Christian
32 Van Schaftingen, Jean
31 Deng, Yinbin
31 Miyagaki, Olimpio Hiroshi
31 Peng, Shuangjie
30 Saanouni, Tarek
30 Sreenadh, Konijeti
29 He, Xiaoming
29 Lu, Guozhen
29 Siedentop, Heinz Karl Heinrich
28 Zhang, Binlin
27 Fournais, Søren
25 Brézis, Haïm
25 Guo, Yujin
25 Lei, Yutian
25 Simon, Barry
25 Sun, Juntao
24 Cao, Daomin
24 Erdős, László
24 Figueiredo, Giovany Malcher
24 Liang, Sihua
23 Carrillo de la Plata, José Antonio
23 Chen, Jianqing
23 Pucci, Patrizia
23 Ruzhansky, Michael V.
23 Salani, Paolo
23 Wang, Jun
23 Yang, Jianfu
22 Slavnov, Nikita A.
21 Bach, Volker
21 Hajaiej, Hichem
21 Lei, Chunyu
21 Liao, Jiafeng
21 Lions, Pierre-Louis
21 Ruskai, Mary Beth
21 Suragan, Durvudkhan
21 Xiao, Jie
21 Xue, Kang
20 Chen, Thomas
20 Feng, Binhua
20 Fiscella, Alessio
20 Gao, Fashun
20 Miyao, Tadahiro
20 Nachtergaele, Bruno
20 Naor, Assaf
20 Petz, Dénes
20 Su, Jiabao
20 Yngvason, Jakob
19 Hiai, Fumio
19 Hiroshima, Fumio
19 Nguyễn Văn Hoàng
19 Wang, Zhi-Qiang
19 Yau, Horng-Tzer
18 Benguria, Rafael D.
18 Esteban, Maria J.
18 Hansen, Frank-Peter
18 Hsu, TsingSan
18 Ilyin, Aleksei A.
18 Lü, Dengfeng
18 Sigal, Israel Michael
18 Spohn, Herbert
17 Calabrese, Pasquale
17 Deng, Shengbing
17 Jeanjean, Louis
17 Kovařík, Hynek
17 Li, Guidong
17 Liu, Zhisu
17 Pearce, Paul A.
17 Repovš, Dušan D.
17 Song, Yueqiang
16 Bez, Neal
16 Cingolani, Silvia
16 Csikvári, Péter
16 Dou, Jingbo
16 Faupin, Jérémy
16 Griesemer, Marcel
...and 8,910 more Authors
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Cited in 678 Serials

479 Journal of Mathematical Physics
424 Communications in Mathematical Physics
353 Journal of Mathematical Analysis and Applications
332 Journal of Functional Analysis
296 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
280 Journal of Differential Equations
261 Calculus of Variations and Partial Differential Equations
213 Journal of Statistical Physics
197 Journal of Statistical Mechanics: Theory and Experiment
139 Advances in Mathematics
137 Archive for Rational Mechanics and Analysis
134 Annales Henri Poincaré
129 The Journal of Geometric Analysis
128 Journal of Physics A: Mathematical and Theoretical
127 Letters in Mathematical Physics
109 Linear Algebra and its Applications
104 Discrete and Continuous Dynamical Systems
104 Communications on Pure and Applied Analysis
102 Mathematical Methods in the Applied Sciences
97 Proceedings of the American Mathematical Society
97 Transactions of the American Mathematical Society
87 Nuclear Physics. B
87 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
84 Communications in Contemporary Mathematics
80 ZAMP. Zeitschrift für angewandte Mathematik und Physik
79 Physics Letters. A
78 Communications in Partial Differential Equations
72 Complex Variables and Elliptic Equations
71 Reviews in Mathematical Physics
70 Annals of Physics
70 SIAM Journal on Mathematical Analysis
70 Advanced Nonlinear Studies
66 Advances in Nonlinear Analysis
64 Applicable Analysis
64 Applied Mathematics Letters
64 Journal of High Energy Physics
60 Journal de Mathématiques Pures et Appliquées. Neuvième Série
57 Annali di Matematica Pura ed Applicata. Serie Quarta
54 Mathematische Annalen
54 Boundary Value Problems
52 NoDEA. Nonlinear Differential Equations and Applications
50 Potential Analysis
49 Nonlinearity
47 Mathematische Nachrichten
47 Quantum Information Processing
44 Physica A
44 Topological Methods in Nonlinear Analysis
43 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
42 Reports on Mathematical Physics
42 Comptes Rendus. Mathématique. Académie des Sciences, Paris
42 Nonlinear Analysis. Theory, Methods & Applications
40 International Journal of Modern Physics B
40 Communications on Pure and Applied Mathematics
40 New Journal of Physics
38 Journal d’Analyse Mathématique
38 Duke Mathematical Journal
38 Electronic Journal of Differential Equations (EJDE)
37 Science China. Mathematics
35 The Annals of Probability
35 Mathematische Zeitschrift
35 Physica D
35 Probability Theory and Related Fields
35 Journal of the European Mathematical Society (JEMS)
35 Mediterranean Journal of Mathematics
35 Discrete and Continuous Dynamical Systems. Series S
33 Computers & Mathematics with Applications
33 Discrete Mathematics
33 International Journal of Theoretical Physics
33 Theoretical and Mathematical Physics
32 Inventiones Mathematicae
31 Acta Mathematica Scientia. Series B. (English Edition)
30 Manuscripta Mathematica
30 SciPost Physics
29 Journal of Mathematical Sciences (New York)
29 Journal of Spectral Theory
27 Journal of Computational Physics
27 Bulletin of the American Mathematical Society. New Series
27 Analysis and Mathematical Physics
26 Acta Applicandae Mathematicae
26 Journal of Evolution Equations
25 Journal of Combinatorial Theory. Series A
25 Revista Matemática Iberoamericana
25 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
25 Abstract and Applied Analysis
25 Mathematical Physics, Analysis and Geometry
25 Nonlinear Analysis. Real World Applications
25 Journal of Fixed Point Theory and Applications
25 Analysis & PDE
24 Stochastic Processes and their Applications
24 The Journal of Fourier Analysis and Applications
24 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
24 Acta Mathematica Sinica. English Series
23 Journal of Algebra
22 Asymptotic Analysis
22 Milan Journal of Mathematics
22 Bulletin of Mathematical Sciences
21 Applied Mathematics and Computation
21 Results in Mathematics
20 Physics Reports
20 Monatshefte für Mathematik
...and 578 more Serials
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Cited in 63 Fields

5,155 Partial differential equations (35-XX)
2,328 Quantum theory (81-XX)
1,875 Statistical mechanics, structure of matter (82-XX)
999 Functional analysis (46-XX)
947 Operator theory (47-XX)
674 Probability theory and stochastic processes (60-XX)
602 Calculus of variations and optimal control; optimization (49-XX)
585 Real functions (26-XX)
519 Global analysis, analysis on manifolds (58-XX)
368 Combinatorics (05-XX)
323 Fluid mechanics (76-XX)
311 Harmonic analysis on Euclidean spaces (42-XX)
305 Information and communication theory, circuits (94-XX)
267 Linear and multilinear algebra; matrix theory (15-XX)
260 Differential geometry (53-XX)
255 Convex and discrete geometry (52-XX)
205 Numerical analysis (65-XX)
190 Integral equations (45-XX)
173 Dynamical systems and ergodic theory (37-XX)
150 Potential theory (31-XX)
141 Group theory and generalizations (20-XX)
132 Ordinary differential equations (34-XX)
120 Measure and integration (28-XX)
120 Statistics (62-XX)
113 Optics, electromagnetic theory (78-XX)
104 Biology and other natural sciences (92-XX)
103 Associative rings and algebras (16-XX)
92 Difference and functional equations (39-XX)
91 Mechanics of deformable solids (74-XX)
86 Nonassociative rings and algebras (17-XX)
85 Mechanics of particles and systems (70-XX)
84 Abstract harmonic analysis (43-XX)
84 Relativity and gravitational theory (83-XX)
82 Computer science (68-XX)
79 Operations research, mathematical programming (90-XX)
77 Functions of a complex variable (30-XX)
76 Topological groups, Lie groups (22-XX)
68 Manifolds and cell complexes (57-XX)
67 Astronomy and astrophysics (85-XX)
66 Classical thermodynamics, heat transfer (80-XX)
62 Several complex variables and analytic spaces (32-XX)
62 Special functions (33-XX)
57 Number theory (11-XX)
55 Integral transforms, operational calculus (44-XX)
46 Approximations and expansions (41-XX)
39 Category theory; homological algebra (18-XX)
36 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
35 General and overarching topics; collections (00-XX)
30 Systems theory; control (93-XX)
27 Geometry (51-XX)
26 History and biography (01-XX)
25 Algebraic geometry (14-XX)
21 General topology (54-XX)
18 Mathematical logic and foundations (03-XX)
18 Geophysics (86-XX)
16 Order, lattices, ordered algebraic structures (06-XX)
15 Algebraic topology (55-XX)
14 Commutative algebra (13-XX)
10 Sequences, series, summability (40-XX)
4 Field theory and polynomials (12-XX)
4 Mathematics education (97-XX)
3 General algebraic systems (08-XX)
2 \(K\)-theory (19-XX)

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