Edit Profile (opens in new tab) Carlen, Eric Anders Co-Author Distance Author ID: carlen.eric-anders Published as: Carlen, Eric A.; Carlen, E. A.; Carlen, Eric; Carlen, E.; Carlen, Eric Anders more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 153 Publications since 1984, including 9 Additional arXiv Preprints 8 Contributions as Editor · 1 Further Contribution Co-Authors: 79 Co-Authors with 141 Joint Publications 3,156 Co-Co-Authors all top 5 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 all top 5 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 all top 5 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 all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.