Analysis and geometry of Markov diffusion operators, D Bakry, I Gentil, M Ledoux volume 348 of Grundlehren der Mathematischen Wissenschaften, Springer, Cham, 2014 | 1624 | 2014 |
Sur les inégalités de Sobolev logarithmiques. With a preface by Dominique Bakry and Michel Ledoux C Ané, S Blachère, D Chafaï, P Fougères, I Gentil, F Malrieu, C Roberto, ... Panoramas et Synthéses 10, 2000 | 618* | 2000 |
Hypercontractivity of Hamilton–Jacobi equations SG Bobkov, I Gentil, M Ledoux Journal de Mathématiques Pures et Appliquées 80 (7), 669-696, 2001 | 358 | 2001 |
Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations F Bolley, I Gentil, A Guillin Journal of Functional Analysis 263, no. 8, (2012), 2430-2457., 2012 | 147 | 2012 |
Uniform convergence to equilibrium for granular media F Bolley, I Gentil, A Guillin Archive for Rational Mechanics and Analysis 208, 429-445, 2013 | 112 | 2013 |
The general optimal L^p-Euclidean logarithmic Sobolev inequality by Hamilton–Jacobi equations I Gentil Journal of Functional Analysis 202 (2), 591-599, 2003 | 89 | 2003 |
Modified logarithmic Sobolev inequalities and transportation inequalities I Gentil, A Guillin, L Miclo Probability theory and related fields 133, 409-436, 2005 | 87 | 2005 |
About the analogy between optimal transport and minimal entropy I Gentil, C Léonard, L Ripani Annales de la Faculté des Sciences de Toulouse, volume 26, 569-600, 2017 | 85 | 2017 |
Nonlinear diffusions, hypercontractivity and the optimal L^p-Euclidean logarithmic Sobolev inequality M Del Pino, J Dolbeault, I Gentil Journal of Mathematical Analysis and Applications 293 (2), 375-388, 2004 | 74 | 2004 |
Phi-entropy inequalities for diffusion semigroups F Bolley, I Gentil Journal de mathématiques pures et appliquées 93 (5), 449-473, 2010 | 64 | 2010 |
A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities J Dolbeault, I Gentil, A Jüngel Communications in Mathematical Sciences 4 (2), 275-290, 2006 | 59 | 2006 |
Weak logarithmic Sobolev inequalities and entropic convergence P Cattiaux, I Gentil, A Guillin Probability theory and related fields 139, 563-603, 2007 | 52 | 2007 |
The mean field Schrödinger problem: ergodic behavior, entropy estimates and functional inequalities J Backhoff-Veraguas, G Conforti, I Gentil, C Léonard Probability Theory and related Fields, no. 1-2, 475–530 (2020), 2020 | 49* | 2020 |
The Lévy–Fokker–Planck equation: Φ-entropies and convergence to equilibrium I Gentil, C Imbert Asymptotic Analysis 59 (3-4), 125-138, 2008 | 46 | 2008 |
Time reversal of diffusion processes under a finite entropy condition P Cattiaux, G Conforti, I Gentil, C Léonard arXiv preprint arXiv:2104.07708, 2021 | 44 | 2021 |
Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities F Bolley, I Gentil, A Guillin Annals of probability Vol 46 (1), p. 261-301., 2018 | 40 | 2018 |
An entropic interpolation proof of the HWI inequality I Gentil, C Léonard, L Ripani, L Tamanini Stochastic Processes and their Applications 130 (2), 907-923, 2020 | 38 | 2020 |
On Harnack inequalities and optimal transportation D Bakry, I Gentil, M Ledoux Annali della Scuola Normale Superiore di Pisa, Volume 14 (2015), 705-727., 2015 | 37 | 2015 |
Dynamical aspects of generalized Schrödinger problem via Otto calculus - A heuristic point of view I Gentil, C Léonard, L Ripani Revista Matematica Iberoamericana, 36, no. 4, 1071–1112 (2020)., 2020 | 36 | 2020 |
Lq-functional inequalities and weighted porous media equations J Dolbeault, I Gentil, A Guillin, FY Wang Potential Analysis 28 (1), 35-59, 2008 | 36 | 2008 |