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Carlen, Eric Anders

Author ID: carlen.eric-anders Recent zbMATH articles by "Carlen, Eric Anders"
Published as: Carlen, Eric A.; Carlen, E. A.; Carlen, Eric; Carlen, E.; Carlen, Eric Anders
External Links: MGP · Wikidata · GND · IdRef
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Co-Authors

21 single-authored
28 Lieb, Elliott Hershel
27 Carvalho, Maria Conceição
24 Loss, Michael
15 Lebowitz, Joel Louis
9 Esposito, Raffaele
9 Marra, Rossana
8 Arnold, Anton
6 Orlandi, Enza
6 Wennberg, Bernt
5 Frank, Rupert L.
5 Gabetta, Ester
5 Ulusoy, Suleyman
4 Jauslin, Ian
4 Kree, Paul
4 Maas, Jan
3 Achleitner, Franz
3 Carrillo de la Plata, José Antonio
3 Degond, Pierre
3 Desvillettes, Laurent
3 Mouhot, Clément
2 Ayyer, Arvind
2 Cordero-Erausquin, Dario
2 Figalli, Alessio
2 Fröhlich, Jürg Martin
2 Gangbo, Wilfrid
2 Geronimo, Jeffrey S.
2 Larsen, Edward W.
2 Lu, Xuguang
2 Mohanty, Prasanta Kumar
2 Mukamel, David
2 Rahnema, Farzad
2 Regazzini, Eugenio
2 Soffer, Avraham
2 Speer, Eugene R.
2 Stroock, Daniel W.
2 Vershynina, Anna
2 Vilelamendes, R.
2 Villani, Cédric
1 Amorim, Érik
1 Ball, Keith Martin
1 Bauer, Robert Otto
1 Blanchard, Philippe
1 Blanchet, Adrien
1 Bonetto, Federico
1 Brydges, David C.
1 Bunimovich, Leonid Abramovich
1 Buss, Samuel R.
1 Cabré, Xavier
1 Chang, Sun-Yung Alice
1 Chatelin, Robin
1 Craig, Katy
1 Dell’Antonio, Gian Fausto
1 Einav, Amit
1 Elworthy, K. David
1 Faris, William G.
1 Fellner, Klemens
1 Gallagher, Isabelle
1 Grigo, Alexander
1 Gross, Leonhard
1 Harrell, Evans M. II
1 Hook, Julian L.
1 Ivanisvili, Paata
1 Jabin, Pierre-Emmanuel
1 Ju, Qiangchang
1 Kerce, C.
1 Kusuoka, Shigeo
1 Lawler, Gregory Francis
1 Le Roux, Jonathan
1 Madiman, Mokshay M.
1 Maggi, Francesco
1 Müller-Hermes, Alexander
1 Mustafa, Dawan
1 Nelson, Joseph Edward
1 Novick-Cohen, Amy
1 Pardoux, Etienne
1 Peres Hari, Lydia
1 Protter, Philip Elliott
1 Reuvers, Robin
1 Salvarani, Francesco
1 Seregin, Gregory A.
1 Simon, Barry
1 Sormani, Christina
1 Toscani, Giuseppe
1 Wang, Mu-Tao
1 Wang, Wei-Min
1 Werner, Elisabeth M.
1 Yau, Shing-Tung
1 Zhang, Haonan
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Serials

15 Journal of Statistical Physics
9 Journal of Functional Analysis
8 Communications in Mathematical Physics
5 Nonlinearity
4 Archive for Rational Mechanics and Analysis
4 Journal of Mathematical Physics
4 Oberwolfach Reports
3 Letters in Mathematical Physics
3 Transport Theory and Statistical Physics
3 Journal of Differential Equations
3 The Journal of Geometric Analysis
3 Geometric and Functional Analysis. GAFA
3 Linear Algebra and its Applications
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Kinetic and Related Models
2 Reviews in Mathematical Physics
2 Advances in Mathematics
2 The Annals of Probability
2 Archiv der Mathematik
2 Duke Mathematical Journal
2 Acta Applicandae Mathematicae
2 IMRN. International Mathematics Research Notices
2 SIAM Journal on Mathematical Analysis
2 Journal of Physics A: Mathematical and Theoretical
1 Communications on Pure and Applied Mathematics
1 IEEE Transactions on Information Theory
1 Physics Letters. A
1 Arkiv för Matematik
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Applied Probability
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Partial Differential Equations
1 Proceedings of the National Academy of Sciences of the United States of America
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Notices of the American Mathematical Society
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Calculus of Variations and Partial Differential Equations
1 Séminaire Équations aux Dérivées Partielles
1 NoDEA. Nonlinear Differential Equations and Applications
1 Methods and Applications of Analysis
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 ELA. The Electronic Journal of Linear Algebra
1 Nonlinear Dynamics
1 Annals of Mathematics. Second Series
1 Brazilian Journal of Probability and Statistics
1 Rivista di Matematica della Università di Parma. Serie 7
1 Communications in Mathematical Sciences
1 Contemporary Mathematics
1 The IMA Volumes in Mathematics and its Applications
1 Mathematical Notes (Princeton)
1 Communications on Stochastic Analysis
1 Bulletin of Mathematical Sciences
1 Mathematics and Mechanics of Complex Systems
1 Pure and Applied Analysis
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Fields

56 Statistical mechanics, structure of matter (82-XX)
44 Partial differential equations (35-XX)
44 Probability theory and stochastic processes (60-XX)
37 Quantum theory (81-XX)
25 Functional analysis (46-XX)
19 Fluid mechanics (76-XX)
17 Real functions (26-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
15 Information and communication theory, circuits (94-XX)
14 Operator theory (47-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
8 General and overarching topics; collections (00-XX)
7 Integral equations (45-XX)
5 Ordinary differential equations (34-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Difference and functional equations (39-XX)
3 Convex and discrete geometry (52-XX)
3 Differential geometry (53-XX)
3 Biology and other natural sciences (92-XX)
2 Special functions (33-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 2,441 times in 1,828 Documents Cited by Year
Upper bounds for symmetric Markov transition functions. Zbl 0634.60066
Carlen, E. A.; Kusuoka, S.; Stroock, D. W.
213
1987
Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037
Ball, Keith; Carlen, Eric A.; Lieb, Elliott H.
150
1994
Superadditivity of Fisher’s information and logarithmic Sobolev inequalities. Zbl 0732.60020
Carlen, Eric A.
113
1991
Trace inequalities and quantum entropy: an introductory course. Zbl 1218.81023
Carlen, Eric
100
2010
Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on \(S^ n\). Zbl 0754.47041
Carlen, E.; Loss, M.
91
1992
Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model. Zbl 1237.35155
Blanchet, Adrien; Carlen, Eric A.; Carrillo, José A.
80
2012
Conservative diffusions. Zbl 0558.60059
Carlen, Eric A.
78
1984
Extremals of functionals with competing symmetries. Zbl 0705.46016
Carlen, Eric A.; Loss, Michael
70
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.
55
2004
Sharp constant in Nash’s inequality. Zbl 0822.35018
Carlen, Eric A.; Loss, Michael
53
1993
Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance. Zbl 1386.46057
Carlen, Eric A.; Maas, Jan
53
2017
Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas. Zbl 0927.76088
Carlen, E. A.; Gabetta, E.; Toscani, G.
52
1999
On the cases of equality in Bobkov’s inequality and Gaussian rearrangement. Zbl 1009.49029
Carlen, E. A.; Kerce, C.
47
2001
Some integral identities and inequalities for entire functions and their application to the coherent state transform. Zbl 0743.46018
Carlen, Eric A.
46
1991
Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation. Zbl 1307.26027
Carlen, Eric A.; Figalli, Alessio
46
2013
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
An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy. Zbl 1297.35241
Carlen, Eric A.; Maas, Jan
41
2014
Entropy and chaos in the Kac model. Zbl 1186.76675
Carlen, Eric A.; Carvalho, Maria C.; Le Roux, Jonathan; Loss, Michael; Villani, Cédric
40
2010
Determination of the spectral gap for Kac’s master equation and related stochastic evolution. Zbl 1080.60091
Carlen, E. A.; Carvalho, M. C.; Loss, M.
38
2003
Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation. Zbl 0859.35011
Carlen, Eric A.; Loss, Michael
37
1995
Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities. Zbl 0796.46054
Carlen, Eric A.; Lieb, Elliott H.
37
1993
Central limit theorem for Maxwellian molecules and truncation of the wild expansion. Zbl 1028.82017
Carlen, E. A.; Carvalho, M. C.; Gabetta, E.
36
2000
L\({}^ p\) estimates on iterated stochastic integrals. Zbl 0721.60052
Carlen, Eric; Krée, Paul
36
1991
Hardy-Littlewood-Sobolev inequalities via fast diffusion flows. Zbl 1256.42028
Carlen, Eric A.; Carrillo, José A.; Loss, Michael
33
2010
Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems. Zbl 1445.46049
Carlen, Eric A.; Maas, Jan
31
2020
Entropy production by block variable summation and central limit theorems. Zbl 0734.60024
Carlen, E. A.; Soffer, A.
29
1991
Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation. Zbl 0899.76317
Carlen, E. A.; Carvalho, M. C.
29
1992
Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
29
2014
Entropy production estimates for Boltzmann equations with physically realistic collision kernels. Zbl 0831.76074
Carlen, E. A.; Carvalho, M. C.
27
1994
Constrained steepest descent in the 2-Wasserstein metric. Zbl 1038.49040
Carlen, E. A.; Gangbo, W.
27
2003
Kinetic limits for pair-interaction driven master equations and biological swarm models. Zbl 1294.35173
Carlen, Eric; Degond, Pierre; Wennberg, Bernt
27
2013
Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities. Zbl 1231.26015
Carlen, Eric A.; Cordero-Erausquin, Dario
26
2009
Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric. Zbl 1182.76944
Carlen, E. A.; Gangbo, W.
25
2004
Asymptotic equipartition and long time behavior of solutions of a thin-film equation. Zbl 1124.35010
Carlen, Eric A.; Ulusoy, Süleyman
19
2007
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
18
2006
A Minkowski type trace inequality and strong subadditivity of quantum entropy. Zbl 0933.47014
Carlen, Eric A.; Lieb, Elliott H.
17
1999
A simple proof of stability of fronts for the Cahn-Hilliard equation. Zbl 1019.35013
Carlen, E. A.; Carvalho, M. C.; Orlandi, E.
16
2001
On the relation between rates of relaxation and convergence of wild sums for solutions of the Kac equation. Zbl 1108.82036
Carlen, E. A.; Carvalho, M. C.; Gabetta, E.
16
2005
Remainder terms for some quantum entropy inequalities. Zbl 1292.81021
Carlen, Eric A.; Lieb, Elliott H.
16
2014
Many-body aspects of approach to equilibrium. Zbl 1213.81230
Carlen, Eric; Carvalho, M. C.; Loss, Michael
16
2000
Differential calculus and integration by parts on Poisson space. Zbl 0685.60056
Carlen, Eric A.; Pardoux, Etienne
15
1990
Recovery and the data processing inequality for quasi-entropies. Zbl 1401.94067
Carlen, Eric A.; Vershynina, Anna
15
2018
On strong convergence to equilibrium for the Boltzmann equation with soft potentials. Zbl 1191.76087
Carlen, Eric A.; Carvalho, Maria C.; Lu, Xuguang
15
2009
Large-time behavior of non-symmetric Fokker-Planck type equations. Zbl 1331.82042
Arnold, Anton; Carlen, Eric; Ju, Qiangchang
15
2008
On multi-dimensional hypocoercive BGK models. Zbl 1405.82023
Achleitner, Franz; Arnold, Anton; Carlen, Eric A.
15
2018
On the problem of stability in lattice dynamical systems. Zbl 0845.58041
Bunimovich, L. A.; Carlen, E. A.
14
1995
On the minimization of symmetric functionals. Zbl 0871.47047
Carlen, Eric A.; Loss, Michael
13
1994
Determination of the spectral gap in the Kac model for physical momentum and energy-conserving collisions. Zbl 1163.82007
Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael
13
2008
On linear hypocoercive BGK models. Zbl 1353.35113
Achleitner, Franz; Arnold, Anton; Carlen, Eric A.
13
2016
Fast and slow convergence to equilibrium for Maxwellian molecules via wild sums. Zbl 1079.82012
Carlen, Eric A.; Lu, Xuguang
13
2003
Some operator and trace function convexity theorems. Zbl 1342.47024
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
13
2016
Probabilistic investigations on the explosion of solutions of the Kac equation with infinite energy initial distribution. Zbl 1142.60013
Carlen, Eric; Gabetta, Ester; Regazzini, Eugenio
11
2008
An entropy dissipation-entropy estimate for a thin film type equation. Zbl 1101.35063
Carlen, E. A.; Ulusoy, S.
11
2005
Exponential relaxation to equilibrium for a one-dimensional focusing non-linear Schrödinger equation with noise. Zbl 1341.35148
Carlen, Eric A.; Fröhlich, Jürg; Lebowitz, Joel
11
2016
Inequalities for quantum divergences and the Audenaert-Datta conjecture. Zbl 1414.81064
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
11
2018
Bounds for entanglement via an extension of strong subadditivity of entropy. Zbl 1254.81019
Carlen, Eric A.; Lieb, Elliott H.
11
2012
Stability for the Brunn-Minkowski and Riesz rearrangement inequalities, with applications to Gaussian concentration and finite range non-local isoperimetry. Zbl 1379.26021
Carlen, Eric; Maggi, Francesco
10
2017
Duality and stability for functional inequalities. Zbl 1387.46031
Carlen, Eric A.
10
2017
Free energy minimizers for a two-species model with segregation and liquid–vapour transition. Zbl 1029.82011
Carlen, E. A.; Carvalho, M. C.; Esposito, R.; Lebowitz, J. L.; Marra, R.
10
2003
A Boltzmann model for rod alignment and schooling fish. Zbl 1320.35251
Carlen, Eric; Carvalho, Maria C.; Degond, Pierre; Wennberg, Bernt
10
2015
Logarithmic Sobolev inequalities and spectral gaps. Zbl 1149.46027
Carlen, Eric; Loss, Michael
9
2004
Localization, smoothness, and convergence to equilibrium for a thin film equation. Zbl 1515.35048
Carlen, Eric; Ulusoy, Süleyman
9
2014
On the Markov sequence problem for Jacobi polynomials. Zbl 1228.31002
Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael
8
2011
Phase diagram of the ABC model on an interval. Zbl 1182.82004
Ayyer, A.; Carlen, E. A.; Lebowitz, J. L.; Mohanty, P. K.; Mukamel, D.; Speer, E. R.
8
2009
Non-commutative space-time and the uncertainty principle. Zbl 1020.81021
Carlen, Eric; Vilela Mendes, R.
8
2001
Strong convergence towards homogeneous cooling states for dissipative Maxwell models. Zbl 1175.82046
Carlen, Eric A.; Carrillo, José A.; Carvalho, Maria C.
8
2009
Exponential approach to, and properties of, a non-equilibrium steady state in a dilute gas. Zbl 1318.82035
Carlen, Eric A.; Lebowitz, Joel L.; Mouhot, Clément
8
2015
Approach to the steady state in kinetic models with thermal reservoirs at different temperatures. Zbl 1397.82044
Carlen, E. A.; Esposito, R.; Lebowitz, J. L.; Marra, R.; Mouhot, C.
8
2018
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
On martingale inequalities in non-commutative stochastic analysis. Zbl 0935.46054
Carlen, Eric A.; Krée, Paul
7
1998
Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003
7
2006
Recovery map stability for the data processing inequality. Zbl 1511.81026
Carlen, Eric A.; Vershynina, Anna
7
2020
Algebraic rate of decay for the excess free energy and stability of fronts for a nonlocal phase kinetics equation with a conservation law. I. Zbl 0931.35174
Carlen, E. A.; Carvalho, M. C.; Orlandi, E.
6
1999
Approximate solutions of the Cahn-Hilliard equation via corrections to the Mullins-Sekerka motion. Zbl 1076.76009
Carlen, E. A.; Carvalho, M. C.; Orlandi, E.
6
2005
Propagation of chaos for a thermostated kinetic model. Zbl 1291.82076
Bonetto, F.; Carlen, E. A.; Esposito, R.; Lebowitz, J. L.; Marra, R.
6
2014
On the rate of explosion for infinite energy solutions of the spatially homogeneous Boltzmann equation. Zbl 1131.82023
Carlen, Eric; Gabetta, Ester; Regazzini, Eugenio
5
2007
Droplet minimizers for the Gates-Lebowitz-Penrose free energy functional. Zbl 1178.49058
Carlen, E. A.; Carvalho, M. C.; Esposito, R.; Lebowitz, J. L.; Marra, R.
5
2009
Droplet minimizers for the Cahn-Hilliard free energy functional. Zbl 1102.82008
Carlen, E. A.; Carvalho, M. C.; Esposito, R.; Lebowitz, J. L.; Marra, R.
5
2006
On semimartingale decompositions of convex functions of semimartingales. Zbl 0741.60035
Carlen, Eric; Protter, Philip
5
1992
Entropy and entanglement bounds for reduced density matrices of fermionic states. Zbl 1342.81031
Carlen, Eric A.; Lieb, Elliott H.; Reuvers, Robin
5
2016
Spectral gap for the Kac model with hard sphere collisions. Zbl 1290.60100
Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael
5
2014
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
Algebraic rate of decay for the excess free energy and stability of fronts for a nonlocal phase kinetics equation with conservation law. II. Zbl 0954.35030
Carlen, E. A.; Carvalho, M. C.; Orlandi, E.
4
2000
Existence and sample path properties of the diffusions in Nelson’s stochastic mechanics. Zbl 0578.60076
Carlen, Eric A.
4
1986
An application of the Bakry-Emery criterion to infinite dimensional diffusions. Zbl 0609.60086
Carlen, Eric A.; Stroock, Daniel W.
4
1986
Kinetic theory and the Kac master equation. Zbl 1244.82069
Carlen, Eric; Carvalho, Maria C.; Loss, Michael
4
2011
On an extension problem for density matrices. Zbl 1282.81020
Carlen, Eric A.; Lebowitz, Joel L.; Lieb, Elliott H.
4
2013
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
On some convexity and monotonicity inequalities of Elliott Lieb. Zbl 1504.39044
Carlen, Eric A.
4
2022
Some trace inequalities for exponential and logarithmic functions. Zbl 1476.15034
Carlen, Eric A.; Lieb, Elliott H.
4
2019
A generalized Bakry-Emery condition for non-symmetric diffusions. Zbl 0967.35057
Arnold, Anton; Carlen, Eric
3
2000
Displacement convexity and minimal fronts at phase boundaries. Zbl 1176.49048
Carlen, E. A.; Carvalho, M. C.; Esposito, R.; Lebowitz, J. L.; Marra, R.
3
2009
Stability of planar fronts for a non-local phase kinetics equation with a conservation law in \(D \leq 3\). Zbl 1252.35060
Carlen, Eric A.; Orlandi, Enza
3
2012
Contraction of the proximal map and generalized convexity of the Moreau-Yosida regularization in the 2-Wasserstein metric. Zbl 1357.49071
Carlen, Eric A.; Craig, Katy
3
2013
On a quantum entropy power inequality of Audenaert, Datta, and Ozols. Zbl 1341.81015
Carlen, Eric A.; Lieb, Elliott H.; Loss, Michael
3
2016
Brascamp–Lieb inequalities for non-commutative integration. Zbl 1173.46045
Carlen, Eric A.; Lieb, Elliott H.
3
2008
Uniqueness of the non-equilibrium steady state for a 1d BGK model in kinetic theory. Zbl 1459.35306
Carlen, E.; Esposito, R.; Lebowitz, J.; Marra, R.; Mouhot, C.
3
2020
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
Complete positivity and self-adjointness. Zbl 1520.47078
Amorim, Érik; Carlen, Eric A.
3
2021
Signal reconstruction by random sampling in chirp space. Zbl 1172.94380
Carlen, Eric; Vilela Mendes, R.
2
2009
The hypocoercivity index for the short time behavior of linear time-invariant ODE systems. Zbl 1523.34014
Achleitner, Franz; Arnold, Anton; Carlen, Eric A.
1
2023
Characterizing Schwarz maps by tracial inequalities. Zbl 07660481
Carlen, Eric; Müller-Hermes, Alexander
1
2023
On some convexity and monotonicity inequalities of Elliott Lieb. Zbl 1504.39044
Carlen, Eric A.
4
2022
Monotonicity versions of Epstein’s Concavity Theorem and related inequalities. Zbl 1505.39019
Carlen, Eric A.; Zhang, Haonan
2
2022
A monotonicity version of a concavity theorem of Lieb. Zbl 1500.39017
Carlen, Eric A.
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
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
Complete positivity and self-adjointness. Zbl 1520.47078
Amorim, Érik; Carlen, Eric A.
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
Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems. Zbl 1445.46049
Carlen, Eric A.; Maas, Jan
31
2020
Recovery map stability for the data processing inequality. Zbl 1511.81026
Carlen, Eric A.; Vershynina, Anna
7
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
Uniqueness of the non-equilibrium steady state for a 1d BGK model in kinetic theory. Zbl 1459.35306
Carlen, E.; Esposito, R.; Lebowitz, J.; Marra, R.; Mouhot, C.
3
2020
Spectral gaps for reversible Markov processes with chaotic invariant measures: the Kac process with hard sphere collisions in three dimensions. Zbl 1456.60252
Carlen, Eric; Carvalho, Maria; Loss, Michael
1
2020
Correction to: “Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems”. Zbl 1466.46060
Carlen, Eric A.; Maas, Jan
1
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
Some trace inequalities for exponential and logarithmic functions. Zbl 1476.15034
Carlen, Eric A.; Lieb, Elliott H.
4
2019
Quantitative bounds on the rate of approach to equilibrium for some one-dimensional stochastic nonlinear Schrödinger equations. Zbl 1414.35203
Carlen, Eric A.; Fröhlich, Jürg; Lebowitz, Joel; Wang, Wei-Min
2
2019
Recovery and the data processing inequality for quasi-entropies. Zbl 1401.94067
Carlen, Eric A.; Vershynina, Anna
15
2018
On multi-dimensional hypocoercive BGK models. Zbl 1405.82023
Achleitner, Franz; Arnold, Anton; Carlen, Eric A.
15
2018
Inequalities for quantum divergences and the Audenaert-Datta conjecture. Zbl 1414.81064
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
11
2018
Approach to the steady state in kinetic models with thermal reservoirs at different temperatures. Zbl 1397.82044
Carlen, E. A.; Esposito, R.; Lebowitz, J. L.; Marra, R.; Mouhot, C.
8
2018
Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance. Zbl 1386.46057
Carlen, Eric A.; Maas, Jan
53
2017
Stability for the Brunn-Minkowski and Riesz rearrangement inequalities, with applications to Gaussian concentration and finite range non-local isoperimetry. Zbl 1379.26021
Carlen, Eric; Maggi, Francesco
10
2017
Duality and stability for functional inequalities. Zbl 1387.46031
Carlen, Eric A.
10
2017
Convexity and concentration. Zbl 1377.52002
1
2017
On linear hypocoercive BGK models. Zbl 1353.35113
Achleitner, Franz; Arnold, Anton; Carlen, Eric A.
13
2016
Some operator and trace function convexity theorems. Zbl 1342.47024
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
13
2016
Exponential relaxation to equilibrium for a one-dimensional focusing non-linear Schrödinger equation with noise. Zbl 1341.35148
Carlen, Eric A.; Fröhlich, Jürg; Lebowitz, Joel
11
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
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 Boltzmann model for rod alignment and schooling fish. Zbl 1320.35251
Carlen, Eric; Carvalho, Maria C.; Degond, Pierre; Wennberg, Bernt
10
2015
Exponential approach to, and properties of, a non-equilibrium steady state in a dilute gas. Zbl 1318.82035
Carlen, Eric A.; Lebowitz, Joel L.; Mouhot, Clément
8
2015
Propagation of chaos for the thermostatted Kac master equation. Zbl 1400.82212
Carlen, Eric; Mustafa, Dawan; Wennberg, Bernt
2
2015
An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy. Zbl 1297.35241
Carlen, Eric A.; Maas, Jan
41
2014
Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145
Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H.
29
2014
Remainder terms for some quantum entropy inequalities. Zbl 1292.81021
Carlen, Eric A.; Lieb, Elliott H.
16
2014
Localization, smoothness, and convergence to equilibrium for a thin film equation. Zbl 1515.35048
Carlen, Eric; Ulusoy, Süleyman
9
2014
Propagation of chaos for a thermostated kinetic model. Zbl 1291.82076
Bonetto, F.; Carlen, E. A.; Esposito, R.; Lebowitz, J. L.; Marra, R.
6
2014
Spectral gap for the Kac model with hard sphere collisions. Zbl 1290.60100
Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael
5
2014
Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation. Zbl 1307.26027
Carlen, Eric A.; Figalli, Alessio
46
2013
Kinetic limits for pair-interaction driven master equations and biological swarm models. Zbl 1294.35173
Carlen, Eric; Degond, Pierre; Wennberg, Bernt
27
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
On an extension problem for density matrices. Zbl 1282.81020
Carlen, Eric A.; Lebowitz, Joel L.; Lieb, Elliott H.
4
2013
Contraction of the proximal map and generalized convexity of the Moreau-Yosida regularization in the 2-Wasserstein metric. Zbl 1357.49071
Carlen, Eric A.; Craig, Katy
3
2013
Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model. Zbl 1237.35155
Blanchet, Adrien; Carlen, Eric A.; Carrillo, José A.
80
2012
Bounds for entanglement via an extension of strong subadditivity of entropy. Zbl 1254.81019
Carlen, Eric A.; Lieb, Elliott H.
11
2012
Stability of planar fronts for a non-local phase kinetics equation with a conservation law in \(D \leq 3\). Zbl 1252.35060
Carlen, Eric A.; Orlandi, Enza
3
2012
On the Markov sequence problem for Jacobi polynomials. Zbl 1228.31002
Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael
8
2011
Kinetic theory and the Kac master equation. Zbl 1244.82069
Carlen, Eric; Carvalho, Maria C.; Loss, Michael
4
2011
Functional inequalities and dynamics. Zbl 1276.35009
Carlen, Eric A.
1
2011
Trace inequalities and quantum entropy: an introductory course. Zbl 1218.81023
Carlen, Eric
100
2010
Entropy and chaos in the Kac model. Zbl 1186.76675
Carlen, Eric A.; Carvalho, Maria C.; Le Roux, Jonathan; Loss, Michael; Villani, Cédric
40
2010
Hardy-Littlewood-Sobolev inequalities via fast diffusion flows. Zbl 1256.42028
Carlen, Eric A.; Carrillo, José A.; Loss, Michael
33
2010
Dynamics and hydrodynamic limits of the inelastic Boltzmann equation. Zbl 1204.35029
Carlen, Eric; Chow, Shui-Nee; Grigo, Alexander
2
2010
Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities. Zbl 1231.26015
Carlen, Eric A.; Cordero-Erausquin, Dario
26
2009
On strong convergence to equilibrium for the Boltzmann equation with soft potentials. Zbl 1191.76087
Carlen, Eric A.; Carvalho, Maria C.; Lu, Xuguang
15
2009
Phase diagram of the ABC model on an interval. Zbl 1182.82004
Ayyer, A.; Carlen, E. A.; Lebowitz, J. L.; Mohanty, P. K.; Mukamel, D.; Speer, E. R.
8
2009
Strong convergence towards homogeneous cooling states for dissipative Maxwell models. Zbl 1175.82046
Carlen, Eric A.; Carrillo, José A.; Carvalho, Maria C.
8
2009
Droplet minimizers for the Gates-Lebowitz-Penrose free energy functional. Zbl 1178.49058
Carlen, E. A.; Carvalho, M. C.; Esposito, R.; Lebowitz, J. L.; Marra, 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.
4
2009
Displacement convexity and minimal fronts at phase boundaries. Zbl 1176.49048
Carlen, E. A.; Carvalho, M. C.; Esposito, R.; Lebowitz, J. L.; Marra, R.
3
2009
Signal reconstruction by random sampling in chirp space. Zbl 1172.94380
Carlen, Eric; Vilela Mendes, R.
2
2009
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
Large-time behavior of non-symmetric Fokker-Planck type equations. Zbl 1331.82042
Arnold, Anton; Carlen, Eric; Ju, Qiangchang
15
2008
Determination of the spectral gap in the Kac model for physical momentum and energy-conserving collisions. Zbl 1163.82007
Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael
13
2008
Probabilistic investigations on the explosion of solutions of the Kac equation with infinite energy initial distribution. Zbl 1142.60013
Carlen, Eric; Gabetta, Ester; Regazzini, Eugenio
11
2008
Brascamp–Lieb inequalities for non-commutative integration. Zbl 1173.46045
Carlen, Eric A.; Lieb, Elliott H.
3
2008
Asymptotic equipartition and long time behavior of solutions of a thin-film equation. Zbl 1124.35010
Carlen, Eric A.; Ulusoy, Süleyman
19
2007
On the rate of explosion for infinite energy solutions of the spatially homogeneous Boltzmann equation. Zbl 1131.82023
Carlen, Eric; Gabetta, Ester; Regazzini, Eugenio
5
2007
The rate of local equilibration in kinetic theory. Zbl 1175.82045
Carlen, E. A.
1
2007
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
18
2006
Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003
7
2006
Droplet minimizers for the Cahn-Hilliard free energy functional. Zbl 1102.82008
Carlen, E. A.; Carvalho, M. C.; Esposito, R.; Lebowitz, J. L.; Marra, R.
5
2006
Some matrix rearrangement inequalities. Zbl 1197.15011
Carlen, Eric; Lieb, Elliott H.
2
2006
On the relation between rates of relaxation and convergence of wild sums for solutions of the Kac equation. Zbl 1108.82036
Carlen, E. A.; Carvalho, M. C.; Gabetta, E.
16
2005
An entropy dissipation-entropy estimate for a thin film type equation. Zbl 1101.35063
Carlen, E. A.; Ulusoy, S.
11
2005
Approximate solutions of the Cahn-Hilliard equation via corrections to the Mullins-Sekerka motion. Zbl 1076.76009
Carlen, E. A.; Carvalho, M. C.; Orlandi, E.
6
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
Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric. Zbl 1182.76944
Carlen, E. A.; Gangbo, W.
25
2004
Logarithmic Sobolev inequalities and spectral gaps. Zbl 1149.46027
Carlen, Eric; Loss, Michael
9
2004
Determination of the spectral gap for Kac’s master equation and related stochastic evolution. Zbl 1080.60091
Carlen, E. A.; Carvalho, M. C.; Loss, M.
38
2003
Constrained steepest descent in the 2-Wasserstein metric. Zbl 1038.49040
Carlen, E. A.; Gangbo, W.
27
2003
Fast and slow convergence to equilibrium for Maxwellian molecules via wild sums. Zbl 1079.82012
Carlen, Eric A.; Lu, Xuguang
13
2003
Free energy minimizers for a two-species model with segregation and liquid–vapour transition. Zbl 1029.82011
Carlen, E. A.; Carvalho, M. C.; Esposito, R.; Lebowitz, J. L.; Marra, R.
10
2003
Probabilistic methods in kinetic theory. Zbl 1140.82324
Carlen, E. A.; Carvalho, M. C.
2
2003
On the optimal choice of coefficients in a truncated wild sum and approximate solutions for the Kac equation. Zbl 1027.82034
Carlen, Eric A.; Salvarani, Francesco
2
2002
On the cases of equality in Bobkov’s inequality and Gaussian rearrangement. Zbl 1009.49029
Carlen, E. A.; Kerce, C.
47
2001
A simple proof of stability of fronts for the Cahn-Hilliard equation. Zbl 1019.35013
Carlen, E. A.; Carvalho, M. C.; Orlandi, E.
16
2001
Non-commutative space-time and the uncertainty principle. Zbl 1020.81021
Carlen, Eric; Vilela Mendes, R.
8
2001
Special issue: Papers of the 16th international conference on transport theory – Part 1. ICTT ’99, Atlanta, GA, USA, May 10–15, 1999. Zbl 0987.00055
1
2001
Many-body aspects of approach to equilibrium. Zbl 1255.82047
Carlen, E.; Carvalho, M. C.; Loss, M.
1
2001
Central limit theorem for Maxwellian molecules and truncation of the wild expansion. Zbl 1028.82017
Carlen, E. A.; Carvalho, M. C.; Gabetta, E.
36
2000
Many-body aspects of approach to equilibrium. Zbl 1213.81230
Carlen, Eric; Carvalho, M. C.; Loss, Michael
16
2000
Algebraic rate of decay for the excess free energy and stability of fronts for a nonlocal phase kinetics equation with conservation law. II. Zbl 0954.35030
Carlen, E. A.; Carvalho, M. C.; Orlandi, E.
4
2000
A generalized Bakry-Emery condition for non-symmetric diffusions. Zbl 0967.35057
Arnold, Anton; Carlen, Eric
3
2000
Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas. Zbl 0927.76088
Carlen, E. A.; Gabetta, E.; Toscani, G.
52
1999
A Minkowski type trace inequality and strong subadditivity of quantum entropy. Zbl 0933.47014
Carlen, Eric A.; Lieb, Elliott H.
17
1999
Algebraic rate of decay for the excess free energy and stability of fronts for a nonlocal phase kinetics equation with a conservation law. I. Zbl 0931.35174
Carlen, E. A.; Carvalho, M. C.; Orlandi, E.
6
1999
...and 28 more Documents
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Cited by 2,037 Authors

68 Carlen, Eric Anders
37 Carrillo de la Plata, José Antonio
29 Dolbeault, Jean
25 Lieb, Elliott Hershel
24 Loss, Michael
23 Toscani, Giuseppe
21 Kumagai, Takashi
20 Frank, Rupert L.
19 Naor, Assaf
16 Chen, Zhen-Qing
15 Carvalho, Maria Conceição
15 Li, Wuchen
14 Khoshnevisan, Davar
14 Saloff-Coste, Laurent
13 Regazzini, Eugenio
12 Degond, Pierre
12 Junge, Marius
12 Lebowitz, Joel Louis
12 Liu, Jianguo
12 Villani, Cédric
12 Wang, Jian
11 Arnold, Anton
11 Gabetta, Ester
11 Grigor’yan, Alexander Asaturovich
11 Lu, Guozhen
11 Marra, Rossana
11 Rougerie, Nicolas
11 Rouzé, Cambyse
10 Caputo, Pietro
10 Desvillettes, Laurent
10 Esposito, Raffaele
10 Gentil, Ivan
10 Lu, Xuguang
9 Barthe, Franck
9 Bez, Neal
9 Kiessling, Michael Karl-Heinz
9 Lewin, Mathieu
9 Mouhot, Clément
9 Ugolini, Stefania
9 Wennberg, Bernt
8 Bass, Richard F.
8 Datta, Nilanjana
8 De Palma, Giacomo
8 Hu, Jiaxin
8 Ledoux, Michel
8 Matthes, Daniel
8 Mischler, Stéphane
8 Pavon, Michele
8 Virosztek, Dániel
7 Albeverio, Sergio A.
7 Bassetti, Federico
7 Bennett, Jonathan M.
7 Bertini, Lorenzo Bertini
7 Blanchet, Adrien
7 Bobkov, Sergey Germanovich
7 Bonetto, Federico
7 Calvez, Vincent
7 Coulhon, Thierry
7 Craig, Katy
7 Einav, Amit
7 Esteban, Maria J.
7 Gallay, Thierry
7 Gao, Li
7 Kumam, Poom
7 Ohta, Shin-ichi
7 Schmeiser, Christian
7 Tao, Chunxia
6 Bakry, Dominique
6 Barlow, Martin T.
6 Bolley, François
6 Böröczky, Karoly jun.
6 Ceccon, Jurandir
6 Chen, Lu
6 Chiacchio, Francesco
6 Cianchi, Andrea
6 Conus, Daniel
6 Figalli, Alessio
6 Gnann, Manuel V.
6 Guillin, Arnaud
6 Hiai, Fumio
6 Hoffmann, Franca
6 Ivanisvili, Paata
6 Kagan, Abram Meerovich
6 Laurençot, Philippe
6 Li, Lei
6 Maas, Jan
6 Maekawa, Yasunori
6 Maggi, Francesco
6 Masmoudi, Nader
6 Montenegro, Marcos
6 Morato, Laura M.
6 Phan Thành Nam
6 Pick, Luboš
6 Tossounian, Hagop
6 Vershynina, Anna
6 Wang, Jinhuan
6 Westdickenberg, Maria G.
6 Wilde, Mark M.
6 Yao, Yao
6 Zambrini, Jean-Claude
...and 1,937 more Authors
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Cited in 337 Serials

107 Journal of Functional Analysis
101 Journal of Statistical Physics
82 Journal of Mathematical Physics
68 Communications in Mathematical Physics
41 Probability Theory and Related Fields
36 Journal of Mathematical Analysis and Applications
34 Journal of Differential Equations
33 Archive for Rational Mechanics and Analysis
33 Transactions of the American Mathematical Society
32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
31 Linear Algebra and its Applications
30 Advances in Mathematics
30 SIAM Journal on Mathematical Analysis
28 The Annals of Probability
25 Calculus of Variations and Partial Differential Equations
24 Letters in Mathematical Physics
24 Stochastic Processes and their Applications
24 Kinetic and Related Models
23 The Journal of Geometric Analysis
23 Communications in Partial Differential Equations
22 Proceedings of the American Mathematical Society
21 Potential Analysis
21 Discrete and Continuous Dynamical Systems
21 Annales Henri Poincaré
18 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
17 The Annals of Applied Probability
17 Journal of the European Mathematical Society (JEMS)
15 Duke Mathematical Journal
15 Mathematische Annalen
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Inventiones Mathematicae
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Electronic Journal of Probability
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Journal of Physics A: Mathematical and Theoretical
10 Nonlinearity
10 Mathematische Zeitschrift
10 Statistics & Probability Letters
10 Physica D
9 Communications on Pure and Applied Mathematics
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Revista Matemática Iberoamericana
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Bernoulli
9 Infinite Dimensional Analysis, Quantum Probability and Related Topics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
8 Oberwolfach Reports
7 International Journal of Theoretical Physics
7 Israel Journal of Mathematics
7 Journal of Computational Physics
7 Transport Theory and Statistical Physics
7 Reviews in Mathematical Physics
7 Geometric and Functional Analysis. GAFA
7 Abstract and Applied Analysis
6 Acta Applicandae Mathematicae
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Journal of Inequalities and Applications
6 Advanced Nonlinear Studies
6 Communications on Pure and Applied Analysis
6 Analysis and Geometry in Metric Spaces
6 Séminaire Laurent Schwartz. EDP et Applications
5 Acta Mathematica
5 Archiv der Mathematik
5 Integral Equations and Operator Theory
5 Memoirs of the American Mathematical Society
5 Journal of Theoretical Probability
5 Journal of the American Mathematical Society
5 Journal of Mathematical Sciences (New York)
5 Bulletin des Sciences Mathématiques
5 Acta Mathematica Sinica. English Series
5 Foundations of Computational Mathematics
4 Journal d’Analyse Mathématique
4 Linear and Multilinear Algebra
4 Applied Mathematics and Computation
4 Indiana University Mathematics Journal
4 Journal of the London Mathematical Society. Second Series
4 Journal of the Mathematical Society of Japan
4 Journal of Optimization Theory and Applications
4 Journal of Statistical Planning and Inference
4 Stochastic Analysis and Applications
4 European Journal of Applied Mathematics
4 SIAM Journal on Optimization
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Journal of Nonlinear Science
4 ELA. The Electronic Journal of Linear Algebra
4 Mathematical Inequalities & Applications
4 Annals of Mathematics. Second Series
4 Analysis & PDE
4 Science China. Mathematics
4 Analysis and Mathematical Physics
4 Information Geometry
3 Mathematical Methods in the Applied Sciences
3 The Annals of Statistics
3 Manuscripta Mathematica
3 Osaka Journal of Mathematics
3 Quarterly of Applied Mathematics
3 Semigroup Forum
3 Tôhoku Mathematical Journal. Second Series
3 Applied Mathematics and Mechanics. (English Edition)
...and 237 more Serials
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Cited in 56 Fields

650 Partial differential equations (35-XX)
521 Probability theory and stochastic processes (60-XX)
332 Statistical mechanics, structure of matter (82-XX)
278 Functional analysis (46-XX)
276 Operator theory (47-XX)
269 Quantum theory (81-XX)
171 Real functions (26-XX)
146 Fluid mechanics (76-XX)
141 Information and communication theory, circuits (94-XX)
133 Calculus of variations and optimal control; optimization (49-XX)
108 Global analysis, analysis on manifolds (58-XX)
101 Differential geometry (53-XX)
95 Biology and other natural sciences (92-XX)
82 Linear and multilinear algebra; matrix theory (15-XX)
76 Numerical analysis (65-XX)
57 Potential theory (31-XX)
57 Dynamical systems and ergodic theory (37-XX)
55 Statistics (62-XX)
54 Harmonic analysis on Euclidean spaces (42-XX)
53 Measure and integration (28-XX)
47 Convex and discrete geometry (52-XX)
43 Difference and functional equations (39-XX)
42 Integral equations (45-XX)
34 Operations research, mathematical programming (90-XX)
27 Ordinary differential equations (34-XX)
25 Computer science (68-XX)
23 Abstract harmonic analysis (43-XX)
22 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Combinatorics (05-XX)
19 Functions of a complex variable (30-XX)
15 Integral transforms, operational calculus (44-XX)
15 Mechanics of particles and systems (70-XX)
14 Topological groups, Lie groups (22-XX)
14 Several complex variables and analytic spaces (32-XX)
14 Relativity and gravitational theory (83-XX)
13 Special functions (33-XX)
13 Geometry (51-XX)
13 General topology (54-XX)
12 Group theory and generalizations (20-XX)
11 General and overarching topics; collections (00-XX)
10 Approximations and expansions (41-XX)
10 Mechanics of deformable solids (74-XX)
10 Systems theory; control (93-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Number theory (11-XX)
6 Algebraic geometry (14-XX)
6 Nonassociative rings and algebras (17-XX)
4 Optics, electromagnetic theory (78-XX)
3 Commutative algebra (13-XX)
3 Sequences, series, summability (40-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Manifolds and cell complexes (57-XX)
2 Astronomy and astrophysics (85-XX)
2 Geophysics (86-XX)
1 Associative rings and algebras (16-XX)

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