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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 · dblp · GND · IdRef
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 Chantal
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 14 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

227 Publications have been cited 12,514 times in 8,803 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.
715
1983
Existence and uniqueness of the minimizing solution of Choquard’s nonlinear equation. Zbl 0369.35022
Lieb, Elliott H.
625
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.
423
1976
Two soluble models of an antiferromagnetic chain. Zbl 0129.46401
Lieb, Elliott H.; Schultz, Theodore; Mattis, D.
329
1961
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.
327
1971
Exact analysis of an interaction Bose gas. I: The general solution and the ground state. Zbl 0138.23001
Lieb, Elliott H.; Liniger, Werner
259
1963
Theory of monomer-dimer systems. Zbl 0228.05131
Heilmann, Ole J.; Lieb, Elliott H.
248
1972
Convex trace functions and the Wigner-Yanase-Dyson conjecture. Zbl 0267.46055
Lieb, Elliott H.
229
1973
The mathematics of the Bose gas and its condensation. Zbl 1104.82012
Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob
227
2005
Harmonic maps with defects. Zbl 0608.58016
Brézis, Haïm; Coron, Jean-Michel; Lieb, Elliott H.
208
1986
The Thomas-Fermi theory of atoms, molecules and solids. Zbl 0938.81568
Lieb, Elliott H.; Simon, Barry
200
1977
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.
190
1976
The Chandrasekhar theory of stellar collapse as the limit quantum mechanics. Zbl 0641.35065
Lieb, Elliott H.; Yau, Horng-Tzer
189
1987
The Thomas-Fermi-von Weizsäcker theory of atoms and molecules. Zbl 0478.49035
Benguria, Rafael; Brézis, Haïm; Lieb, Elliott H.
175
1981
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Zbl 1202.35146
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
175
2008
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.
172
1976
Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037
Ball, Keith; Carlen, Eric A.; Lieb, Elliott H.
150
1994
Symmetric decreasing rearrangement is sometimes continuous. Zbl 0688.46014
Almgren, Frederick J. jun.; Lieb, Elliott H.
145
1989
A general rearrangement inequality for multiple integrals. Zbl 0286.26005
Brascamp, H. J.; Lieb, Elliott H.; Luttinger, J. M.
142
1974
Bounds on the eigenvalues of the Laplace and Schrödinger operators. Zbl 0329.35018
Lieb, Elliott H.
128
1976
On the lowest eigenvalue of the Laplacian for the intersection of two domains. Zbl 0538.35058
Lieb, Elliott H.
123
1983
The classical limit of quantum spin systems. Zbl 1125.82305
Lieb, Elliott H.
116
1973
Ground states in non-relativistic quantum electrodynamics. Zbl 1044.81133
Griesemer, Marcel; Lieb, Elliott H.; Loss, Michael
113
2001
Thomas-Fermi and related theories of atoms and molecules. Zbl 1114.81336
Lieb, Elliott H.
112
1981
The stability of matter in quantum mechanics. Zbl 1179.81004
Lieb, Elliott H.; Seiringer, Robert
107
2009
Sharp constants in several inequalities on the Heisenberg group. Zbl 1252.42023
Frank, Rupert L.; Lieb, Elliott H.
106
2012
Gaussian kernels have only Gaussian maximizers. Zbl 0726.42005
Lieb, Elliott H.
101
1990
Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Zbl 1233.82004
Lieb, Elliott H.; Seiringer, Robert
98
2006
Minimum action solutions of some vector field equations. Zbl 0579.35025
Brézis, Haïm; Lieb, Elliott H.
92
1984
Thomas-Fermi and related theories of atoms and molecules. Zbl 1049.81679
Lieb, Elliott H.
90
1981
The stability and instability of relativistic matter. Zbl 0686.35099
Lieb, Elliott H.; Yau, Horng-Tzer
87
1988
Sobolev inequalities with remainder terms. Zbl 0577.46031
Brézis, Haïm; Lieb, Elliott H.
85
1985
Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095
Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip
84
1994
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
81
2001
Exact analysis of an interacting Bose gas. II: The excitation spectrum. Zbl 0138.23002
Lieb, Elliott H.
80
1963
Proof of an entropy conjecture of Wehrl. Zbl 0385.60089
Lieb, Elliott H.
79
1978
Monotonicity of a relative Rényi entropy. Zbl 1350.94020
Frank, Rupert L.; Lieb, Elliott H.
79
2013
Stability of Coulomb systems with magnetic fields. I: The one-electron atom. Zbl 0595.35098
Fröhlich, Jürg; Lieb, Elliott H.; Loss, Michael
72
1986
Analysis. Zbl 0873.26002
Lieb, Elliott H.; Loss, Michael
68
1996
Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1204.39024
Frank, Rupert L.; Lieb, Elliott H.
65
2010
Integral bounds for radar ambiguity functions and Wigner distributions. Zbl 0704.46050
Lieb, Elliott H.
64
1990
The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei. Zbl 1049.82501
Lieb, Eliott H.; Lebowitz, Joel L.
62
1972
The physics and mathematics of the second law of thermodynamics. Zbl 1027.80504
Lieb, Elliott H.; Yngvason, Jakob
58
1999
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.
55
2004
A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1297.39023
Frank, Rupert L.; Lieb, Elliott H.
54
2012
Exact ground state energy of the strong-coupling polaron. Zbl 0874.60095
Lieb, Elliott H.; Thomas, Lawrence E.
54
1997
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Zbl 1160.81382
Frank, Rupert L.; Laptev, Ari; Lieb, Elliott H.; Seiringer, Robert
52
2006
Some operator inequalities of the Schwarz type. Zbl 0274.46045
Lieb, Elliott H.; Ruskai, Mary Beth
49
1974
On the case of equality in the Brunn-Minkowski inequality for capacity. Zbl 0847.31005
Caffarelli, Luis A.; Jerison, David; Lieb, Elliott H.
45
1996
The stability of matter: From atoms to stars. Zbl 0698.35135
Lieb, Elliott H.
45
1990
Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions. Zbl 0807.47058
Lieb, Elliott H.; Solovej, Jan Philip; Yngvason, Jakob
43
1994
Some inequalities for Gaussian measures and the long-range order of the one-dimensional plasma. Zbl 0348.26011
Brascamp, H. J.; Lieb, Elliott H.
42
1975
Ground state energy of the one-component charged Bose gas. Zbl 1042.82004
Lieb, Elliott H.; Solovej, Jan Philip
41
2002
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
A Minkowski type trace inequality and strong subadditivity of quantum entropy. II: Convexity and concavity. Zbl 1171.47015
Carlen, Eric A.; Lieb, Elliott H.
41
2008
On characteristic exponents in turbulence. Zbl 0598.76054
Lieb, Elliott H.
41
1984
The ground state energy and density of interacting bosons in a trap. Zbl 1043.82515
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
39
2000
The ground state energy of a dilute two-dimensional Bose gas. Zbl 1115.82306
Lieb, Elliott H.; Yngvason, Jakob
39
2001
Existence of atoms and molecules in non-relativistic quantum electrodynamics. Zbl 1058.81080
Lieb, Elliott H.; Loss, Michael
37
2003
Some convexity and subadditivity properties of entropy. Zbl 0308.94020
Lieb, Elliott H.
37
1975
Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities. Zbl 0796.46054
Carlen, Eric A.; Lieb, Elliott H.
37
1993
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.
37
2015
Ordering energy levels of interacting spin systems. Zbl 0101.45302
Lieb, Elliott H.; Mattis, Daniel
36
1962
Proofs of some conjectures on permanents. Zbl 0144.26802
Lieb, Elliott H.
36
1966
The number of bound states of one-body Schrödinger operators and the Weyl problem. Zbl 0445.58029
Lieb, Elliott H.
36
1980
Concavity properties and a generating function for Stirling numbers. Zbl 0164.33002
Lieb, Elliott H.
34
1968
Ground state energy of the two-component charged Bose gas. Zbl 1124.82303
Lieb, Elliott H.; Solovej, Jan Philip
33
2004
Long range atomic potentials in Thomas-Fermi theory. Zbl 0416.35066
Brézis, Haïm; Lieb, Elliott H.
32
1979
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
One-electron relativistic molecules with Coulomb interaction. Zbl 0946.81522
Daubechies, Ingrid; Lieb, Elliott H.
31
1983
Fluxes, Laplacians, and Kasteleyn’s theorem. Zbl 0787.05083
Lieb, Elliott H.; Loss, Michael
31
1993
Asymptotics of heavy atoms in high magnetic fields. I: Lowest Landau band regions. Zbl 0800.49041
Lieb, Elliott H.; Solovej, Jan Philip; Yngvason, Jakob
30
1994
The thermodynamic limit for jellium. Zbl 0973.82500
Lieb, Elliott H.; Narnhofer, Heide
29
1975
Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
29
2014
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
27
1995
Ground-state energy and effective mass of the polaron. Zbl 0100.42504
Lieb, Elliott H.; Yamazaki, Kazuo
27
1958
Strichartz inequality for orthonormal functions. Zbl 1307.35245
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
27
2014
Co-area, liquid crystals, and minimal surfaces. Zbl 0645.58015
Almgren, F.; Browder, W.; Lieb, E. H.
25
1988
Studies in mathematical physics. Essays in honor of Valentine Bargmann. Zbl 0326.00007
25
1976
An itinerant electron model with crystalline or magnetic long range order. Zbl 1002.82508
Kennedy, Tom; Lieb, Elliott H.
24
1986
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
The local density approximation in density functional theory. Zbl 1435.35320
Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
23
2020
A positive density analogue of the Lieb-Thirring inequality. Zbl 1260.35088
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
23
2013
One-dimensional behavior of dilute, trapped Bose gases. Zbl 1075.82002
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
20
2004
Theory of ferromagnetism and the ordering of electronic energy levels. Zbl 0118.46202
Lieb, Elliott H.; Mattis, D.
19
1962
Maximizers for the Stein-Tomas inequality. Zbl 1357.42023
Frank, Rupert L.; Lieb, Elliott H.; Sabin, Julien
19
2016
A bound on binding energies and mass renormalization in models of quantum electrodynamics. Zbl 1027.81040
Lieb, Elliott H.; Loss, Michael
19
2002
Proof of an entropy conjecture for Bloch coherent spin states and its generalizations. Zbl 1298.81116
Lieb, Elliott H.; Solovej, Jan Philip
19
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
18
2007
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
18
2006
Inequalities for some operator and matrix functions. Zbl 0324.15013
Lieb, Elliott H.
18
1976
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.
18
2009
A guide to entropy and second law of thermodynamics. Zbl 1038.80504
Lieb, Elliott H.; Yngvason, Jakob
17
1998
A Minkowski type trace inequality and strong subadditivity of quantum entropy. Zbl 0933.47014
Carlen, Eric A.; Lieb, Elliott H.
17
1999
Periodic minimizers in 1D local mean field theory. Zbl 1173.82008
Giuliani, Alessandro; Lebowitz, Joel L.; Lieb, Elliott H.
17
2009
A note on polarization vectors in quantum electrodynamics. Zbl 1102.81070
Lieb, Elliott H.; Loss, Michael
17
2004
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.
10
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
7
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.
2
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
23
2020
Divergence of the effective mass of a polaron in the strong coupling limit. Zbl 1446.81045
Lieb, Elliott H.; Seiringer, Robert
14
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.
4
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
10
2019
Periodic energy minimizers for a one-dimensional liquid drop model. Zbl 1428.82062
Frank, Rupert L.; Lieb, Elliott H.
4
2019
Some trace inequalities for exponential and logarithmic functions. Zbl 1476.15034
Carlen, Eric A.; 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.
17
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
14
2018
Inequalities for quantum divergences and the Audenaert-Datta conjecture. Zbl 1414.81064
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
11
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
19
2016
Some operator and trace function convexity theorems. Zbl 1342.47024
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
13
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
5
2016
Proof of the Wehrl-type entropy conjecture for symmetric \({SU(N)}\) coherent states. Zbl 1365.81030
Lieb, Elliott H.; Solovej, Jan Philip
3
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
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.
37
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.
29
2014
Strichartz inequality for orthonormal functions. Zbl 1307.35245
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
27
2014
Proof of an entropy conjecture for Bloch coherent spin states and its generalizations. Zbl 1298.81116
Lieb, Elliott H.; Solovej, Jan Philip
19
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
9
2014
Formation of stripes and slabs near the ferromagnetic transition. Zbl 1302.82018
Giuliani, Alessandro; Lieb, Elliott H.; Seiringer, Robert
9
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
4
2014
Monotonicity of a relative Rényi entropy. Zbl 1350.94020
Frank, Rupert L.; Lieb, Elliott H.
79
2013
A positive density analogue of the Lieb-Thirring inequality. Zbl 1260.35088
Frank, Rupert L.; Lewin, Mathieu; Lieb, Elliott H.; Seiringer, Robert
23
2013
Extended quantum conditional entropy and quantum uncertainty inequalities. Zbl 1280.81022
Frank, Rupert L.; Lieb, Elliott H.
10
2013
The entropy concept for non-equilibrium states. Zbl 1371.80004
Lieb, Elliott H.; Yngvason, Jakob
9
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.
8
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.
5
2013
On an extension problem for density matrices. Zbl 1282.81020
Carlen, Eric A.; Lebowitz, Joel L.; Lieb, Elliott H.
4
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
3
2013
Sharp constants in several inequalities on the Heisenberg group. Zbl 1252.42023
Frank, Rupert L.; Lieb, Elliott H.
106
2012
A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality. Zbl 1297.39023
Frank, Rupert L.; Lieb, Elliott H.
54
2012
Non-abelian vortices in supersymmetric gauge field theory via direct methods. Zbl 1255.81216
Lieb, Elliott H.; Yang, Yisong
17
2012
Bounds for entanglement via an extension of strong subadditivity of entropy. Zbl 1254.81019
Carlen, Eric A.; Lieb, Elliott H.
11
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.
65
2010
Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. Zbl 1203.81072
Frank, Rupert L.; Lieb, Elliott H.; Seiringer, Robert
14
2010
Localization of multidimensional Wigner distributions. Zbl 1314.81129
Lieb, Elliott H.; Ostrover, Yaron
5
2010
The stability of matter in quantum mechanics. Zbl 1179.81004
Lieb, Elliott H.; Seiringer, Robert
107
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.
18
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
175
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.
41
2008
Brascamp–Lieb inequalities for non-commutative integration. Zbl 1173.46045
Carlen, Eric A.; Lieb, Elliott H.
3
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
18
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
Bose-Einstein condensation and spontaneous symmetry breaking. Zbl 1160.82308
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
5
2007
Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Zbl 1233.82004
Lieb, Elliott H.; Seiringer, Robert
98
2006
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Zbl 1160.81382
Frank, Rupert L.; Laptev, Ari; Lieb, Elliott H.; Seiringer, Robert
52
2006
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
18
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
227
2005
The stability of matter: From atoms to stars. Selecta of Elliott H. Lieb. 4th ed. Zbl 1165.01331
Lieb, Elliott H.
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
Stronger subadditivity of entropy. Zbl 1227.82012
Lieb, Elliott H.; Seiringer, Robert
6
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
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.
55
2004
Ground state energy of the two-component charged Bose gas. Zbl 1124.82303
Lieb, Elliott H.; Solovej, Jan Philip
33
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
20
2004
A note on polarization vectors in quantum electrodynamics. Zbl 1102.81070
Lieb, Elliott H.; Loss, Michael
17
2004
Quantum mechanics, the stability of matter and quantum electrodynamics. Zbl 1255.81002
Lieb, Elliott H.
3
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.
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
37
2003
Bose-Einstein condensation of dilute gases in traps. Zbl 1041.81107
Lieb, Elliott H.; Seiringer, Robert
28
2003
Poincaré inequalities in punctured domains. Zbl 1048.26012
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob
16
2003
The one-dimensional Hubbard model: a reminiscence. Zbl 1037.82009
Lieb, Elliott H.; Wu, F. Y.
15
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
41
2002
A bound on binding energies and mass renormalization in models of quantum electrodynamics. Zbl 1027.81040
Lieb, Elliott H.; Loss, Michael
19
2002
Stability of a model of relativistic quantum electrodynamics. Zbl 1005.81091
Lieb, Elliott H.; Loss, Michael
11
2002
...and 127 more Documents
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Cited by 7,809 Authors

112 Lieb, Elliott Hershel
91 Frank, Rupert L.
81 Seiringer, Robert
55 Solovej, Jan Philip
55 Tang, Xianhua
53 Lewin, Mathieu
52 Yang, Minbo
48 Rădulescu, Vicenţiu D.
45 Schlein, Benjamin
45 Tang, Chun-Lei
42 Chen, Haibo
41 Carlen, Eric Anders
41 Wu, Tsungfang
39 Loss, Michael
38 Fröhlich, Jürg Martin
37 Ambrosio, Vincenzo
37 Laptev, Ari
36 Alves, Claudianor Oliveira
36 Dolbeault, Jean
36 Phan Thành Nam
35 Chen, Sitong
34 Rougerie, Nicolas
34 Zou, Wenming
31 Hainzl, Christian
31 Peng, Shuangjie
30 Deng, Yinbin
30 Squassina, Marco
30 Van Schaftingen, Jean
29 Siedentop, Heinz Karl Heinrich
28 Miyagaki, Olimpio Hiroshi
26 Lu, Guozhen
25 Brézis, Haïm
25 Fournais, Søren
25 Lei, Yutian
24 Erdős, László
24 He, Xiaoming
24 Simon, Barry
24 Sreenadh, Konijeti
24 Zhang, Binlin
23 Guo, Yujin
23 Sun, Juntao
22 Figueiredo, Giovany Malcher
22 Salani, Paolo
21 Bach, Volker
21 Chen, Jianqing
21 Lei, Chunyu
21 Liang, Sihua
21 Lions, Pierre-Louis
21 Pucci, Patrizia
21 Wang, Jun
20 Carrillo de la Plata, José Antonio
20 Naor, Assaf
20 Ruskai, Mary Beth
19 Cao, Daomin
19 Chen, Thomas
19 Fiscella, Alessio
19 Hiai, Fumio
19 Nachtergaele, Bruno
19 Petz, Dénes
19 Ruzhansky, Michael V.
19 Wang, Zhi-Qiang
19 Xiao, Jie
19 Yau, Horng-Tzer
19 Yngvason, Jakob
18 Benguria, Rafael D.
18 Gao, Fashun
18 Hajaiej, Hichem
18 Hiroshima, Fumio
18 Liao, Jiafeng
18 Miyao, Tadahiro
18 Sigal, Israel Michael
18 Suragan, Durvudkhan
18 Xue, Kang
18 Yang, Jianfu
17 Hansen, Frank-Peter
17 Hsu, TsingSan
17 Liu, Zhisu
17 Nguyễn Văn Hoàng
17 Repovš, Dušan D.
17 Spohn, Herbert
16 Esteban, Maria J.
16 Faupin, Jérémy
16 Griesemer, Marcel
16 Ilyin, Aleksei A.
16 Li, Congming
16 Li, Guidong
16 Lü, Dengfeng
16 Serfaty, Sylvia
16 Su, Jiabao
16 Vugal’ter, Semën Abramovich
15 Bez, Neal
15 Cingolani, Silvia
15 Csikvári, Péter
15 Dou, Jingbo
15 Feng, Binhua
15 Jeanjean, Louis
15 Li, Gongbao
15 Saanouni, Tarek
15 Slavnov, Nikita A.
15 Tasaki, Hal
...and 7,709 more Authors
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Cited in 644 Serials

454 Journal of Mathematical Physics
413 Communications in Mathematical Physics
311 Journal of Functional Analysis
310 Journal of Mathematical Analysis and Applications
254 Journal of Differential Equations
253 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
233 Calculus of Variations and Partial Differential Equations
205 Journal of Statistical Physics
128 Advances in Mathematics
127 Archive for Rational Mechanics and Analysis
126 Annales Henri Poincaré
124 Letters in Mathematical Physics
113 Journal of Physics A: Mathematical and Theoretical
106 The Journal of Geometric Analysis
96 Linear Algebra and its Applications
95 Proceedings of the American Mathematical Society
94 Discrete and Continuous Dynamical Systems
94 Communications on Pure and Applied Analysis
93 Journal of Statistical Mechanics: Theory and Experiment
91 Transactions of the American Mathematical Society
81 Communications in Contemporary Mathematics
77 Communications in Partial Differential Equations
76 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
68 Reviews in Mathematical Physics
64 ZAMP. Zeitschrift für angewandte Mathematik und Physik
64 Advanced Nonlinear Studies
60 Complex Variables and Elliptic Equations
59 Journal of High Energy Physics
54 Applied Mathematics Letters
54 Journal de Mathématiques Pures et Appliquées. Neuvième Série
53 Boundary Value Problems
52 SIAM Journal on Mathematical Analysis
52 Advances in Nonlinear Analysis
51 Annali di Matematica Pura ed Applicata. Serie Quarta
49 Potential Analysis
48 Mathematical Methods in the Applied Sciences
47 Applicable Analysis
47 Mathematische Annalen
45 Quantum Information Processing
44 NoDEA. Nonlinear Differential Equations and Applications
41 Nonlinearity
40 Comptes Rendus. Mathématique. Académie des Sciences, Paris
39 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
39 Topological Methods in Nonlinear Analysis
37 Duke Mathematical Journal
37 Mathematische Nachrichten
37 Nonlinear Analysis. Theory, Methods & Applications
36 International Journal of Modern Physics B
35 Nuclear Physics. B
35 The Annals of Probability
35 Science China. Mathematics
33 Theoretical and Mathematical Physics
33 Journal of the European Mathematical Society (JEMS)
33 Mediterranean Journal of Mathematics
32 Journal d’Analyse Mathématique
32 Mathematische Zeitschrift
31 Discrete Mathematics
31 International Journal of Theoretical Physics
31 Inventiones Mathematicae
30 Computers & Mathematics with Applications
30 Electronic Journal of Differential Equations (EJDE)
30 New Journal of Physics
30 Acta Mathematica Scientia. Series B. (English Edition)
29 Probability Theory and Related Fields
29 Discrete and Continuous Dynamical Systems. Series S
28 Manuscripta Mathematica
27 Bulletin of the American Mathematical Society. New Series
27 Journal of Mathematical Sciences (New York)
26 Physica A
25 Communications on Pure and Applied Mathematics
25 Journal of Combinatorial Theory. Series A
24 Journal of Computational Physics
24 Acta Applicandae Mathematicae
24 Analysis & PDE
24 Analysis and Mathematical Physics
23 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
22 Physics Letters. A
22 Abstract and Applied Analysis
22 Journal of Fixed Point Theory and Applications
21 Journal of Algebra
21 Mathematical Physics, Analysis and Geometry
21 Acta Mathematica Sinica. English Series
21 Journal of Evolution Equations
21 Milan Journal of Mathematics
20 Applied Mathematics and Computation
20 Revista Matemática Iberoamericana
20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
20 Nonlinear Analysis. Real World Applications
20 Journal of Spectral Theory
20 Bulletin of Mathematical Sciences
19 Reports on Mathematical Physics
19 Rocky Mountain Journal of Mathematics
19 Physica D
19 Asymptotic Analysis
19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
19 Stochastic Processes and their Applications
18 Journal of the American Mathematical Society
18 Annals of Physics
18 The Journal of Fourier Analysis and Applications
18 Physical Review Letters
...and 544 more Serials
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Cited in 63 Fields

4,470 Partial differential equations (35-XX)
1,968 Quantum theory (81-XX)
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911 Functional analysis (46-XX)
871 Operator theory (47-XX)
609 Probability theory and stochastic processes (60-XX)
534 Calculus of variations and optimal control; optimization (49-XX)
523 Real functions (26-XX)
478 Global analysis, analysis on manifolds (58-XX)
337 Combinatorics (05-XX)
282 Information and communication theory, circuits (94-XX)
270 Harmonic analysis on Euclidean spaces (42-XX)
266 Fluid mechanics (76-XX)
240 Linear and multilinear algebra; matrix theory (15-XX)
239 Differential geometry (53-XX)
234 Convex and discrete geometry (52-XX)
179 Integral equations (45-XX)
175 Numerical analysis (65-XX)
147 Dynamical systems and ergodic theory (37-XX)
138 Potential theory (31-XX)
134 Group theory and generalizations (20-XX)
117 Ordinary differential equations (34-XX)
105 Measure and integration (28-XX)
102 Statistics (62-XX)
95 Optics, electromagnetic theory (78-XX)
89 Associative rings and algebras (16-XX)
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78 Difference and functional equations (39-XX)
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58 Astronomy and astrophysics (85-XX)
55 Classical thermodynamics, heat transfer (80-XX)
50 Integral transforms, operational calculus (44-XX)
49 Number theory (11-XX)
38 Approximations and expansions (41-XX)
37 Category theory; homological algebra (18-XX)
26 General and overarching topics; collections (00-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
25 Systems theory; control (93-XX)
22 History and biography (01-XX)
22 Geometry (51-XX)
19 General topology (54-XX)
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4 Mathematics education (97-XX)
3 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)

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