| Quantum stochastic optimization DF B Apolloni, C Carvalho Stochastic Processes and their Applications 33 (2), 233-244, 1989 | 251 | 1989 |
| Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation EA Carlen, MC Carvalho Journal of statistical physics 67, 575-608, 1992 | 120 | 1992 |
| Determination of the spectral gap for Kac's master equation and related stochastic evolution EA Carlen, MC Carvalho, M Loss | 119 | 2003 |
| Entropy and chaos in the Kac model EA Carlen, MC Carvalho, JL Roux, M Loss, C Villani Kinet. Relat. Models 3 , no. 1, (2010) 85 - 122 3 (1), 85 - 122, 2010 | 117 | 2010 |
| Entropy production estimates for Boltzmann equations with physically realistic collision kernels EA Carlen, MC Carvalho Journal of statistical physics 74, 743-782, 1994 | 97 | 1994 |
| Central limit theorem for Maxwellian molecules and truncation of the Wild expansion EA Carlen, MC Carvalho, E Gabetta Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2000 | 94 | 2000 |
| Many-body aspects of approach to equilibrium E Carlen, MC Carvalho, M Loss Journées Equations aux dérivées partielles, 1-12, 2000 | 64 | 2000 |
| On strong convergence to equilibrium for the Boltzmann equation with soft potentials EA Carlen, MC Carvalho, X Lu Journal of statistical physics 135 (4), 681-736, 2009 | 35 | 2009 |
| On the relation between rates of relaxation and convergence of Wild sums for solutions of the Kac equation EA Carlen, MC Carvalho, E Gabetta Journal of Functional Analysis 220 (2), 362-387, 2005 | 34 | 2005 |
| Free energy minimizers for a two-species model with segregation and liquid–vapour transition EA Carlen, MC Carvalho, R Esposito, JL Lebowitz, R Marra Nonlinearity 16 (3), 1075, 2003 | 31 | 2003 |
| A Simple Proof of Stability of Fronts¶ for the Cahn–Hilliard Equation EA Carlen, MC Carvalho, E Orlandi Communications in Mathematical Physics 224, 323-340, 2001 | 31 | 2001 |
| Approximate solutions of the Cahn-Hilliard equation via corrections to the Mullins-Sekerka motion EA Carlen, MC Carvalho, E Orlandi Archive for rational mechanics and analysis 178, 1-55, 2005 | 29 | 2005 |
| Strong convergence towards homogeneous cooling states for dissipative Maxwell models EA Carlen, JA Carrillo, MC Carvalho Annales de l'IHP Analyse non linéaire 26 (5), 1675-1700, 2009 | 27 | 2009 |
| A Boltzmann model for rod alignment and schooling fish E Carlen, MC Carvalho, P Degond, B Wennberg Nonlinearity 28 (6), 1783, 2015 | 21 | 2015 |
| Displacement convexity and minimal fronts at phase boundaries EA Carlen, MC Carvalho, R Esposito, JL Lebowitz, R Marra Archive for rational mechanics and analysis 194, 823-847, 2009 | 16 | 2009 |
| Spectral Gaps for Reversible Markov Processes with Chaotic Invariant Measures: The Kac Process with Hard Sphere Collisions in Three Dimensions E Carlen, MC Carvalho, M Loss arXiv:1812.03874, 2018 | 15* | 2018 |
| Kinetic theory and the Kac master equation E Carlen, MC Carvalho, M Loss Entropy & Quantum II, Contemp. Math 552, 1-20, 2011 | 15 | 2011 |
| Droplet minimizers for the Gates–Lebowitz–Penrose free energy functional EA Carlen, MC Carvalho, R Esposito, JL Lebowitz, R Marra Nonlinearity 22 (12), 2919, 2009 | 15 | 2009 |
| Algebraic Rate of Decay for The Excess Free Energy And Stability of Fronts for A Nonlocal Phase Kinetics Equation with A Conservation Law, Ii: Algebraic Rate EA Carlen, MC Carvalho, E Orlandi Communications in Partial Differential Equations 25 (5-6), 847-886, 2000 | 14 | 2000 |
| Droplet minimizers for the Cahn-Hilliard free energy functional EA Carlen, MC Carvalho, R Esposito, JL Lebowitz, R Marra The Journal of Geometric Analysis 16, 233-264, 2006 | 13 | 2006 |
Eric CarlenDistinguished Professor of Mathematics, Rutgers UniversityVerified email at math.rutgers.edu
