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 Homepage: https://sites.math.rutgers.edu/~carlen/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 155 Publications since 1984, including 9 Additional arXiv Preprints 9 Contributions as Editor · 1 Further Contribution Co-Authors: 84 Co-Authors with 144 Joint Publications 3,430 Co-Co-Authors all top 5 Co-Authors 21 single-authored 29 Lieb, Elliott Hershel 27 Carvalho, Maria Conceição 25 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 Bonetto, Federico 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 Brydges, David C. 1 Bunimovich, Leonid Abramovich 1 Buss, Samuel R. 1 Cabré, Xavier 1 Chang, Sun-Yung Alice 1 Chatelin, Robin 1 Chow, Shui-Nee 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 Gonçalves, Patrícia C. 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 Lewin, Mathieu 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 Seiringer, Robert 1 Seregin, Gregory A. 1 Simon, Barry 1 Soares, Ana Jacinta 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 Letters in Mathematical Physics 4 Oberwolfach Reports 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 Springer Proceedings in Mathematics & Statistics 1 Mathematics and Mechanics of Complex Systems 1 Pure and Applied Analysis all top 5 Fields 56 Statistical mechanics, structure of matter (82-XX) 46 Partial differential equations (35-XX) 45 Probability theory and stochastic processes (60-XX) 38 Quantum theory (81-XX) 24 Functional analysis (46-XX) 19 Fluid mechanics (76-XX) 17 Real functions (26-XX) 16 Information and communication theory, circuits (94-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Operator theory (47-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 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 Combinatorics (05-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 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 particles and systems (70-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 131 Publications have been cited 2,710 times in 2,028 Documents Cited by ▼ Year ▼ Upper bounds for symmetric Markov transition functions. Zbl 0634.60066 Carlen, E. A.; Kusuoka, S.; Stroock, D. W. 224 1987 Sharp uniform convexity and smoothness inequalities for trace norms. Zbl 0803.47037 Ball, Keith; Carlen, Eric A.; Lieb, Elliott H. 164 1994 Superadditivity of Fisher’s information and logarithmic Sobolev inequalities. Zbl 0732.60020 Carlen, Eric A. 122 1991 Trace inequalities and quantum entropy: an introductory course. Zbl 1218.81023 Carlen, Eric 113 2010 Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on \(S^ n\). Zbl 0754.47041 Carlen, E.; Loss, M. 95 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. 90 2012 Conservative diffusions. Zbl 0558.60059 Carlen, Eric A. 84 1984 Extremals of functionals with competing symmetries. Zbl 0705.46016 Carlen, Eric A.; Loss, Michael 72 1990 Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance. Zbl 1386.46057 Carlen, Eric A.; Maas, Jan 66 2017 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. 64 2004 Sharp constant in Nash’s inequality. Zbl 0822.35018 Carlen, Eric A.; Loss, Michael 57 1993 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. 54 1999 On the cases of equality in Bobkov’s inequality and Gaussian rearrangement. Zbl 1009.49029 Carlen, E. A.; Kerce, C. 53 2001 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 49 2014 Some integral identities and inequalities for entire functions and their application to the coherent state transform. Zbl 0743.46018 Carlen, Eric A. 49 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 49 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. 45 2008 Entropy and chaos in the Kac model. Zbl 1186.76675 Carlen, Eric A.; Carvalho, Maria C.; Le Roux, Jonathan; Loss, Michael; Villani, Cédric 43 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. 42 2003 Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities. Zbl 0796.46054 Carlen, Eric A.; Lieb, Elliott H. 41 1993 Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems. Zbl 1445.46049 Carlen, Eric A.; Maas, Jan 39 2020 L\({}^ p\) estimates on iterated stochastic integrals. Zbl 0721.60052 Carlen, Eric; Krée, Paul 38 1991 Central limit theorem for Maxwellian molecules and truncation of the wild expansion. Zbl 1028.82017 Carlen, E. A.; Carvalho, M. C.; Gabetta, E. 37 2000 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 Hardy-Littlewood-Sobolev inequalities via fast diffusion flows. Zbl 1256.42028 Carlen, Eric A.; Carrillo, José A.; Loss, Michael 36 2010 Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145 Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H. 34 2014 Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities. Zbl 1231.26015 Carlen, Eric A.; Cordero-Erausquin, Dario 33 2009 Entropy production by block variable summation and central limit theorems. Zbl 0734.60024 Carlen, E. A.; Soffer, A. 32 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. 31 1992 Differential calculus and integration by parts on Poisson space. Zbl 0685.60056 Carlen, Eric A.; Pardoux, Etienne 30 1990 Kinetic limits for pair-interaction driven master equations and biological swarm models. Zbl 1294.35173 Carlen, Eric; Degond, Pierre; Wennberg, Bernt 30 2013 Entropy production estimates for Boltzmann equations with physically realistic collision kernels. Zbl 0831.76074 Carlen, E. A.; Carvalho, M. C. 29 1994 Constrained steepest descent in the 2-Wasserstein metric. Zbl 1038.49040 Carlen, E. A.; Gangbo, W. 28 2003 Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric. Zbl 1182.76944 Carlen, E. A.; Gangbo, W. 25 2004 Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003 22 2006 An inequality of Hadamard type for permanents. Zbl 1116.15015 Carlen, Eric; Lieb, Elliott H.; Loss, Michael 20 2006 On multi-dimensional hypocoercive BGK models. Zbl 1405.82023 Achleitner, Franz; Arnold, Anton; Carlen, Eric A. 19 2018 Asymptotic equipartition and long time behavior of solutions of a thin-film equation. Zbl 1124.35010 Carlen, Eric A.; Ulusoy, Süleyman 19 2007 A Minkowski type trace inequality and strong subadditivity of quantum entropy. Zbl 0933.47014 Carlen, Eric A.; Lieb, Elliott H. 18 1999 Some operator and trace function convexity theorems. Zbl 1342.47024 Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H. 17 2016 A simple proof of stability of fronts for the Cahn-Hilliard equation. Zbl 1019.35013 Carlen, E. A.; Carvalho, M. C.; Orlandi, E. 17 2001 Large-time behavior of non-symmetric Fokker-Planck type equations. Zbl 1331.82042 Arnold, Anton; Carlen, Eric; Ju, Qiangchang 17 2008 Many-body aspects of approach to equilibrium. Zbl 1213.81230 Carlen, Eric; Carvalho, M. C.; Loss, Michael 17 2000 On linear hypocoercive BGK models. Zbl 1353.35113 Achleitner, Franz; Arnold, Anton; Carlen, Eric A. 16 2016 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 Recovery and the data processing inequality for quasi-entropies. Zbl 1401.94067 Carlen, Eric A.; Vershynina, Anna 16 2018 Inequalities for quantum divergences and the Audenaert-Datta conjecture. Zbl 1414.81064 Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H. 16 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 On the problem of stability in lattice dynamical systems. Zbl 0845.58041 Bunimovich, L. A.; Carlen, E. A. 14 1995 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 14 2008 On the minimization of symmetric functionals. Zbl 0871.47047 Carlen, Eric A.; Loss, Michael 13 1994 Duality and stability for functional inequalities. Zbl 1387.46031 Carlen, Eric A. 13 2017 Fast and slow convergence to equilibrium for Maxwellian molecules via wild sums. Zbl 1079.82012 Carlen, Eric A.; Lu, Xuguang 13 2003 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 12 2016 Bounds for entanglement via an extension of strong subadditivity of entropy. Zbl 1254.81019 Carlen, Eric A.; Lieb, Elliott H. 12 2012 A Boltzmann model for rod alignment and schooling fish. Zbl 1320.35251 Carlen, Eric; Carvalho, Maria C.; Degond, Pierre; Wennberg, Bernt 11 2015 An entropy dissipation-entropy estimate for a thin film type equation. Zbl 1101.35063 Carlen, E. A.; Ulusoy, S. 11 2005 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 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 11 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 Logarithmic Sobolev inequalities and spectral gaps. Zbl 1149.46027 Carlen, Eric; Loss, Michael 10 2004 Localization, smoothness, and convergence to equilibrium for a thin film equation. Zbl 1515.35048 Carlen, Eric; Ulusoy, Süleyman 9 2014 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. 9 2009 Recovery map stability for the data processing inequality. Zbl 1511.81026 Carlen, Eric A.; Vershynina, Anna 9 2020 Strong convergence towards homogeneous cooling states for dissipative Maxwell models. Zbl 1175.82046 Carlen, Eric A.; Carrillo, José A.; Carvalho, Maria C. 9 2009 Asymmetric covariance estimates of Brascamp-Lieb type and related inequalities for log-concave measures. Zbl 1270.26016 Carlen, Eric A.; Cordero-Erausquin, Dario; Lieb, Elliott H. 9 2013 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 An application of the Bakry-Emery criterion to infinite dimensional diffusions. Zbl 0609.60086 Carlen, Eric A.; Stroock, Daniel W. 8 1986 On martingale inequalities in non-commutative stochastic analysis. Zbl 0935.46054 Carlen, Eric A.; Krée, Paul 8 1998 Non-commutative space-time and the uncertainty principle. Zbl 1020.81021 Carlen, Eric; Vilela Mendes, R. 8 2001 Existence and sample path properties of the diffusions in Nelson’s stochastic mechanics. Zbl 0578.60076 Carlen, Eric A. 8 1986 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 On the Markov sequence problem for Jacobi polynomials. Zbl 1228.31002 Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael 8 2011 Entropy and entanglement bounds for reduced density matrices of fermionic states. Zbl 1342.81031 Carlen, Eric A.; Lieb, Elliott H.; Reuvers, Robin 7 2016 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. 7 2005 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. 7 2020 On semimartingale decompositions of convex functions of semimartingales. Zbl 0741.60035 Carlen, Eric; Protter, Philip 6 1992 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 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 Some trace inequalities for exponential and logarithmic functions. Zbl 1476.15034 Carlen, Eric A.; Lieb, Elliott H. 6 2019 On some convexity and monotonicity inequalities of Elliott Lieb. Zbl 1504.39044 Carlen, Eric A. 6 2022 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 an extension problem for density matrices. Zbl 1282.81020 Carlen, Eric A.; Lebowitz, Joel L.; Lieb, Elliott H. 5 2013 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 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 Spectral gap for the Kac model with hard sphere collisions. Zbl 1290.60100 Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael 5 2014 Propagation of chaos for the thermostatted Kac master equation. Zbl 1400.82212 Carlen, Eric; Mustafa, Dawan; Wennberg, Bernt 4 2015 Kinetic theory and the Kac master equation. Zbl 1244.82069 Carlen, Eric; Carvalho, Maria C.; Loss, Michael 4 2011 Brascamp–Lieb inequalities for non-commutative integration. Zbl 1173.46045 Carlen, Eric A.; Lieb, Elliott H. 4 2008 On a quantum entropy power inequality of Audenaert, Datta, and Ozols. Zbl 1341.81015 Carlen, Eric A.; Lieb, Elliott H.; Loss, Michael 4 2016 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 Monotonicity versions of Epstein’s Concavity Theorem and related inequalities. Zbl 1505.39019 Carlen, Eric A.; Zhang, Haonan 4 2022 Characterizing Schwarz maps by tracial inequalities. Zbl 07660481 Carlen, Eric; Müller-Hermes, Alexander 4 2023 Many-body aspects of approach to equilibrium. Zbl 1255.82047 Carlen, E.; Carvalho, M. C.; Loss, M. 4 2001 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 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. 4 2021 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. 4 2020 Complete positivity and self-adjointness. Zbl 1520.47078 Amorim, Érik; Carlen, Eric A. 4 2021 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 Characterizing Schwarz maps by tracial inequalities. Zbl 07660481 Carlen, Eric; Müller-Hermes, Alexander 4 2023 The hypocoercivity index for the short time behavior of linear time-invariant ODE systems. Zbl 1523.34014 Achleitner, Franz; Arnold, Anton; Carlen, Eric A. 2 2023 A Kac model with exclusion. Zbl 1516.60050 Carlen, Eric; Wennberg, Bernt 1 2023 On some convexity and monotonicity inequalities of Elliott Lieb. Zbl 1504.39044 Carlen, Eric A. 6 2022 Monotonicity versions of Epstein’s Concavity Theorem and related inequalities. Zbl 1505.39019 Carlen, Eric A.; Zhang, Haonan 4 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 A monotonicity version of a concavity theorem of Lieb. Zbl 1500.39017 Carlen, Eric A. 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. 4 2021 Complete positivity and self-adjointness. Zbl 1520.47078 Amorim, Érik; Carlen, Eric A. 4 2021 Analysis of a simple equation for the ground state of the Bose gas. II: Monotonicity, convexity, and condensate fraction. Zbl 1477.35189 Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H. 3 2021 On the convolution inequality \(f\geq f\star f\). Zbl 1486.42006 Carlen, Eric A.; Jauslin, Ian; Lieb, Elliott H.; Loss, Michael P. 1 2021 Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems. Zbl 1445.46049 Carlen, Eric A.; Maas, Jan 39 2020 Recovery map stability for the data processing inequality. Zbl 1511.81026 Carlen, Eric A.; Vershynina, Anna 9 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. 7 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. 4 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 2 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. 2 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 Some trace inequalities for exponential and logarithmic functions. Zbl 1476.15034 Carlen, Eric A.; Lieb, Elliott H. 6 2019 Chaos, ergodicity, and equilibria in a quantum Kac model. Zbl 1427.35172 Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael P. 2 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 On multi-dimensional hypocoercive BGK models. Zbl 1405.82023 Achleitner, Franz; Arnold, Anton; Carlen, Eric A. 19 2018 Recovery and the data processing inequality for quasi-entropies. Zbl 1401.94067 Carlen, Eric A.; Vershynina, Anna 16 2018 Inequalities for quantum divergences and the Audenaert-Datta conjecture. Zbl 1414.81064 Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H. 16 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 66 2017 Duality and stability for functional inequalities. Zbl 1387.46031 Carlen, Eric A. 13 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 11 2017 Convexity and concentration. Zbl 1377.52002 2 2017 A remainder term for Hölder’s inequality for matrices and quantum entropy inequalities. Zbl 1429.94041 Carlen, Eric A. 1 2017 Some operator and trace function convexity theorems. Zbl 1342.47024 Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H. 17 2016 On linear hypocoercive BGK models. Zbl 1353.35113 Achleitner, Franz; Arnold, Anton; Carlen, Eric A. 16 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 12 2016 Entropy and entanglement bounds for reduced density matrices of fermionic states. Zbl 1342.81031 Carlen, Eric A.; Lieb, Elliott H.; Reuvers, Robin 7 2016 On a quantum entropy power inequality of Audenaert, Datta, and Ozols. Zbl 1341.81015 Carlen, Eric A.; Lieb, Elliott H.; Loss, Michael 4 2016 A Boltzmann model for rod alignment and schooling fish. Zbl 1320.35251 Carlen, Eric; Carvalho, Maria C.; Degond, Pierre; Wennberg, Bernt 11 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 4 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 49 2014 Stability estimates for the lowest eigenvalue of a Schrödinger operator. Zbl 1291.35145 Carlen, Eric A.; Frank, Rupert L.; Lieb, Elliott H. 34 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 49 2013 Kinetic limits for pair-interaction driven master equations and biological swarm models. Zbl 1294.35173 Carlen, Eric; Degond, Pierre; Wennberg, Bernt 30 2013 Asymmetric covariance estimates of Brascamp-Lieb type and related inequalities for log-concave measures. Zbl 1270.26016 Carlen, Eric A.; Cordero-Erausquin, Dario; Lieb, Elliott H. 9 2013 On an extension problem for density matrices. Zbl 1282.81020 Carlen, Eric A.; Lebowitz, Joel L.; Lieb, Elliott H. 5 2013 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. 90 2012 Bounds for entanglement via an extension of strong subadditivity of entropy. Zbl 1254.81019 Carlen, Eric A.; Lieb, Elliott H. 12 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 113 2010 Entropy and chaos in the Kac model. Zbl 1186.76675 Carlen, Eric A.; Carvalho, Maria C.; Le Roux, Jonathan; Loss, Michael; Villani, Cédric 43 2010 Hardy-Littlewood-Sobolev inequalities via fast diffusion flows. Zbl 1256.42028 Carlen, Eric A.; Carrillo, José A.; Loss, Michael 36 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 33 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. 9 2009 Strong convergence towards homogeneous cooling states for dissipative Maxwell models. Zbl 1175.82046 Carlen, Eric A.; Carrillo, José A.; Carvalho, Maria C. 9 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. 45 2008 Large-time behavior of non-symmetric Fokker-Planck type equations. Zbl 1331.82042 Arnold, Anton; Carlen, Eric; Ju, Qiangchang 17 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 14 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. 4 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 Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003 22 2006 An inequality of Hadamard type for permanents. Zbl 1116.15015 Carlen, Eric; Lieb, Elliott H.; Loss, Michael 20 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. 7 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. 64 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 10 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. 42 2003 Constrained steepest descent in the 2-Wasserstein metric. Zbl 1038.49040 Carlen, E. A.; Gangbo, W. 28 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. 53 2001 A simple proof of stability of fronts for the Cahn-Hilliard equation. Zbl 1019.35013 Carlen, E. A.; Carvalho, M. C.; Orlandi, E. 17 2001 Non-commutative space-time and the uncertainty principle. Zbl 1020.81021 Carlen, Eric; Vilela Mendes, R. 8 2001 Many-body aspects of approach to equilibrium. Zbl 1255.82047 Carlen, E.; Carvalho, M. C.; Loss, M. 4 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 2 2001 Central limit theorem for Maxwellian molecules and truncation of the wild expansion. Zbl 1028.82017 Carlen, E. A.; Carvalho, M. C.; Gabetta, E. 37 2000 Many-body aspects of approach to equilibrium. Zbl 1213.81230 Carlen, Eric; Carvalho, M. C.; Loss, Michael 17 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 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,250 Authors 69 Carlen, Eric Anders 40 Carrillo de la Plata, José Antonio 34 Dolbeault, Jean 26 Loss, Michael 25 Lieb, Elliott Hershel 23 Toscani, Giuseppe 22 Kumagai, Takashi 21 Frank, Rupert L. 19 Naor, Assaf 16 Chen, Zhen-Qing 15 Carvalho, Maria Conceição 15 Li, Wuchen 14 Arnold, Anton 14 Khoshnevisan, Davar 14 Saloff-Coste, Laurent 13 Liu, Jianguo 13 Regazzini, Eugenio 13 Rouzé, Cambyse 12 Caputo, Pietro 12 Degond, Pierre 12 Grigor’yan, Alexander Asaturovich 12 Junge, Marius 12 Lebowitz, Joel Louis 12 Lu, Guozhen 12 Villani, Cédric 12 Wang, Jian 11 Desvillettes, Laurent 11 Gabetta, Ester 11 Marra, Rossana 11 Privault, Nicolas 11 Rougerie, Nicolas 10 De Palma, Giacomo 10 Esposito, Raffaele 10 Gentil, Ivan 10 Lewin, Mathieu 10 Lu, Xuguang 9 Barthe, Franck 9 Bez, Neal 9 Gao, Li 9 Hu, Jiaxin 9 Kiessling, Michael Karl-Heinz 9 Matthes, Daniel 9 Mouhot, Clément 9 Pavon, Michele 9 Ugolini, Stefania 8 Bass, Richard F. 8 Bennett, Jonathan M. 8 Bertini, Lorenzo Bertini 8 Bonetto, Federico 8 Craig, Katy 8 Datta, Nilanjana 8 Einav, Amit 8 Gallay, Thierry 8 Hoffmann, Franca 8 Ledoux, Michel 8 Mischler, Stéphane 8 Schmeiser, Christian 8 Virosztek, Dániel 8 Wennberg, Bernt 8 Zambrini, Jean-Claude 7 Albeverio, Sergio A. 7 Bassetti, Federico 7 Blanchet, Adrien 7 Bobkov, Sergey Germanovich 7 Böröczky, Karoly jun. 7 Calvez, Vincent 7 Chen, Lu 7 Coulhon, Thierry 7 Deuschel, Jean-Dominique 7 Esteban, Maria J. 7 Hiai, Fumio 7 Kumam, Poom 7 Li, Lei 7 Maas, Jan 7 Masmoudi, Nader 7 Ohta, Shin-ichi 7 Tao, Chunxia 7 Yang, Tong 7 Zhang, Haonan 6 Bakry, Dominique 6 Barlow, Martin T. 6 Bolley, François 6 Ceccon, Jurandir 6 Chiacchio, Francesco 6 Cianchi, Andrea 6 Conus, Daniel 6 Del Pino, Manuel A. 6 Dolera, Emanuele 6 Figalli, Alessio 6 Gnann, Manuel V. 6 Guillin, Arnaud 6 Hansen, Frank-Peter 6 Ivanisvili, Paata 6 Jin, Shi 6 Kagan, Abram Meerovich 6 Laurençot, Philippe 6 Maggi, Francesco 6 Mewomo, Oluwatosin Temitope 6 Montenegro, Marcos 6 Morato, Laura M. ...and 2,150 more Authors all top 5 Cited in 361 Serials 124 Journal of Functional Analysis 104 Journal of Statistical Physics 92 Journal of Mathematical Physics 75 Communications in Mathematical Physics 42 Probability Theory and Related Fields 39 Journal of Mathematical Analysis and Applications 39 Journal of Differential Equations 37 Archive for Rational Mechanics and Analysis 35 Transactions of the American Mathematical Society 33 Advances in Mathematics 33 Nonlinear Analysis. 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Real World Applications 4 Stochastics and Dynamics ...and 261 more Serials all top 5 Cited in 56 Fields 712 Partial differential equations (35-XX) 562 Probability theory and stochastic processes (60-XX) 365 Statistical mechanics, structure of matter (82-XX) 316 Quantum theory (81-XX) 305 Functional analysis (46-XX) 301 Operator theory (47-XX) 187 Real functions (26-XX) 157 Calculus of variations and optimal control; optimization (49-XX) 154 Information and communication theory, circuits (94-XX) 151 Fluid mechanics (76-XX) 122 Global analysis, analysis on manifolds (58-XX) 110 Differential geometry (53-XX) 100 Biology and other natural sciences (92-XX) 92 Linear and multilinear algebra; matrix theory (15-XX) 89 Numerical analysis (65-XX) 65 Dynamical systems and ergodic theory (37-XX) 63 Measure and integration (28-XX) 63 Statistics (62-XX) 58 Potential theory (31-XX) 58 Harmonic analysis on Euclidean spaces (42-XX) 54 Convex and discrete geometry (52-XX) 48 Difference and functional equations (39-XX) 44 Integral equations (45-XX) 40 Operations research, mathematical programming (90-XX) 32 Computer science (68-XX) 30 Ordinary differential equations (34-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Abstract harmonic analysis (43-XX) 25 Combinatorics (05-XX) 19 Functions of a complex variable (30-XX) 18 Integral transforms, operational calculus (44-XX) 17 Mechanics of particles and systems (70-XX) 16 Topological groups, Lie groups (22-XX) 16 Relativity and gravitational theory (83-XX) 15 Several complex variables and analytic spaces (32-XX) 14 General and overarching topics; collections (00-XX) 14 Geometry (51-XX) 14 General topology (54-XX) 13 Special functions (33-XX) 12 Group theory and generalizations (20-XX) 11 Mechanics of deformable solids (74-XX) 11 Systems theory; control (93-XX) 10 Number theory (11-XX) 10 Approximations and expansions (41-XX) 10 Classical thermodynamics, heat transfer (80-XX) 7 Algebraic geometry (14-XX) 6 Nonassociative rings and algebras (17-XX) 5 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Sequences, series, summability (40-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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