Upper bounds for symmetric Markov transition functions EA Carlen, S Kusuoka, DW Stroock Annales de l'IHP Probabilités et statistiques 23 (S2), 245-287, 1987 | 583 | 1987 |
Sharp uniform convexity and smoothness inequalities for trace norms K Ball, EA Carlen, EH Lieb Inequalities: Selecta of Elliott H. Lieb, 171-190, 2002 | 426 | 2002 |
Trace inequalities and quantum entropy: an introductory course E Carlen Entropy and the quantum 529, 73-140, 2010 | 323 | 2010 |
Superadditivity of Fisher's information and logarithmic Sobolev inequalities EA Carlen Journal of Functional Analysis 101 (1), 194-211, 1991 | 314 | 1991 |
Conservative diffusions EA Carlen Communications in Mathematical Physics 94, 293-315, 1984 | 282 | 1984 |
Competing symmetries, the logarithmic HLS inequality and Onofri's inequality ons n E Carlen, M Loss Geometric & Functional Analysis GAFA 2, 90-104, 1992 | 213 | 1992 |
Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model A Blanchet, EA Carlen, JA Carrillo Journal of Functional Analysis 262 (5), 2142-2230, 2012 | 175 | 2012 |
A sharp analog of Young’s inequality on SN and related entropy inequalities EA Carlen, EH Lieb, M Loss The Journal of Geometric Analysis 14, 487-520, 2004 | 171 | 2004 |
Extremals of functionals with competing symmetries EA Carlen, M Loss Journal of Functional Analysis 88 (2), 437-456, 1990 | 165 | 1990 |
Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance EA Carlen, J Maas Journal of Functional Analysis 273 (5), 1810-1869, 2017 | 151 | 2017 |
Differential calculus and integration by parts on Poisson space EA Carlen, É Pardoux Stochastics, Algebra and Analysis in Classical and Quantum Dynamics …, 1990 | 144 | 1990 |
Sharp constant in Nash's inequality EA Carlen, M Loss International Mathematics Research Notices 1993 (7), 213-215, 1993 | 138 | 1993 |
Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas EA Carlen, E Gabetta, G Toscani Communications in mathematical physics 199, 521-546, 1999 | 130 | 1999 |
Entropy production by block variable summation and central limit theorems EA Carlen, A Soffer Communications in mathematical physics 140, 339-371, 1991 | 125 | 1991 |
An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker–Planck equation is gradient flow for the entropy EA Carlen, J Maas Communications in mathematical physics 331 (3), 887-926, 2014 | 123 | 2014 |
Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities EA Carlen, EH Lieb Communications in mathematical physics 155 (1), 27-46, 1993 | 120 | 1993 |
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 | 115 | 1992 |
Determination of the spectral gap for Kac's master equation and related stochastic evolution EA Carlen, MC Carvalho, M Loss | 114 | 2003 |
Some integral identities and inequalities for entire functions and their application to the coherent state transform EA Carlen Journal of functional analysis 97 (1), 231-249, 1991 | 114 | 1991 |
Entropy and chaos in the Kac model EA Carlen, MC Carvalho, JL Roux, M Loss, C Villani arXiv preprint arXiv:0808.3192, 2008 | 112 | 2008 |