2013

Articles

• Guillin, Arnaud ; Gentil, Ivan ; Bolley, François . Uniform convergence to equilibrium for granular media. Archive for Rational Mechanics and Analysis. Volume 208. n° 2. 2013. pages 429-445. Springer. DOI http://dx.doi.org/10.1007/s00205-012-0599-z.

Working Papers

• Guillin, Arnaud ; Gentil, Ivan ; Bolley, François . Dimensional contraction via Markov transportation distance. Université Paris-Dauphine . 2013 .

2012

Articles

• Gentil, Ivan ; Bolley, François ; Bakry, Dominique . Weighted Nash Inequalities. Revista Matematica Iberoamericana. Volume 28. n° 3. 2012. pages 879-906. Real Sociedad Matemática Española.
• Bakry, Dominique ; Bolley, François ; Gentil, Ivan . Dimension dependent hypercontractivity for Gaussian kernels. Probability Theory and Related Fields. Volume 154. n° 3-4. 2012. pages 845-874. Springer. DOI http://dx.doi.org/10.1007/s00440-011-0387-y.

2011

Working Papers

• Guillin, Arnaud ; Gentil, Ivan ; Bolley, François . Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations. Université Paris-Dauphine . 2011 .

Books

• Pons, Geneviève ; Gentil, Ivan ; Catto, Isabelle . Mathématiques L sciences éco : éléments de calcul différentiel pour l'économie : + exercices et problèmes corrigés. Paris. Ellipses . 2011 . pages 288 . ISBN 978-2-7298-6551-1 .

2010

Articles

• Zegarlinski, Boguslaw ; Gentil, Ivan . Asymptotic behaviour of a general reversible chemical reaction-diffusion equation. Kinetic and Related Models. Volume 3. n° 3. 2010. pages 427-444. American Institute of Mathematical Sciences. DOI http://dx.doi.org/10.3934/krm.2010.3.427.
• Bolley, François ; Gentil, Ivan . Phi-entropy inequalities for diffusion semigroups. Journal de Mathématiques Pures et Appliquées. Volume 93. n° 5. 2010. pages 449-473. Elsevier. DOI http://dx.doi.org/10.1016/j.matpur.2010.02.004.

Conference Contributions

• Bakry, Dominique ; Bolley, François ; Gentil, Ivan . Around Nash Inequalities. Journées Equations aux dérivées partielles. Port D'Albret. France. 2010.
• Gentil, Ivan ; Bolley, François . Phi-entropy inequalities and Fokker-Planck equations. PROGRESS IN ANALYSIS AND ITS APPLICATIONS Proceedings of the 7th International ISAAC Congress. Londres. Royaume-Uni. 2009.

2009

Articles

• Gentil, Ivan ; Imbert, Cyril . Logarithmic Sobolev inequalities: regularizing effect of Lévy operators and asymptotic convergence in the Lévy-Fokker-Planck equation. Stochastics An International Journal of Probability and Stochastic Processes. Volume 81. n° 3-4. 2009. pages 401-414. Taylor & Francis. DOI http://dx.doi.org/10.1080/17442500903080306.

Conference Contributions

• Gentil, Ivan . Logarithmic Sobolev inequality for diffusion semigroups. Optimal transportation: Theory and applications. Grenoble. France. 2009.

2008

Articles

• Imbert, Cyril ; Gentil, Ivan . The Lévy-Fokker-Planck equation: Phi-entropies and convergence to equilibrium. Asymptotic Analysis. Volume 59. n° 3-4. 2008. pages 125-138. IOS Press. DOI http://dx.doi.org/10.3233/ASY-2008-0887.
• Dolbeault, Jean ; Gentil, Ivan ; Guillin, Arnaud ; Wang, Feng-Yu . L^q-functional inequalities and weighted porous media equations.. Potential Analysis. Volume 28. n° 1. 2008. pages 35-39. Springer. DOI http://dx.doi.org/10.1007/s11118-007-9066-0.
• Gentil, Ivan . From the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality. Annales de la Faculté des Sciences de Toulouse. Volume 17. n° 2. 2008. pages 291-308. Toulouse : Université Paul Sabatier.
• Rémillard, Bruno ; Gentil, Ivan . Using systematic sampling selection for Monte Carlo solutions of Feynman-Kac equations. Advances in Applied Probability. Volume 40. n° 2. 2008. pages 454-572. The Applied Probability Trust. DOI http://dx.doi.org/10.1239/aap/1214950212.

2007

Articles

• Gentil, Ivan ; Guillin, Arnaud ; Miclo, Laurent . Modified logarithmic Sobolev inequalities in null curvature. Revista Matematica Iberoamericana. Volume 23. n° 1. 2007. pages 235-258. Real sociedad matemática española.
• Cattiaux, Patrick ; Gentil, Ivan ; Guillin, Arnaud . Weak logarithmic Sobolev inequalities and entropic convergence.. Probability Theory and Related Fields. Volume 139. n° 3-4. 2007. pages 563-603. Springer. DOI http://dx.doi.org/10.1007/s00440-007-0054-5.

2006

Articles

• Dolbeault, Jean ; Gentil, Ivan ; Jüngel, Ansgar . A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities. Communications in Mathematical Sciences. Volume 4. n° 2. 2006. pages 275-290. International Press.
• Juengel, Ansgar ; Gentil, Ivan ; Dolbeault, Jean ; Carrillo, José . Entropy-Energy inequalities and improved convergence rates for nonlinear parabolic equations. Discrete and Continuous Dynamical Systems - Series B (DCDS-B). Volume 6. n° 5. 2006. pages 1027-1050. Southwest Missouri State University Dept. of Mathematics. DOI http://dx.doi.org/10.3934/dcdsb.2006.6.1027.

2005

Articles

• Gentil, Ivan ; Guillin, Arnaud ; Miclo, Laurent . Modified logarithmic Sobolev inequalities and transportation inequalities. Probability Theory and Related Fields. Volume 133. n° 3. 2005. pages 409-436. DOI http://dx.doi.org/10.1007/s00440-005-0432-9.

2004

Articles

• Del Pino, Manuel ; Dolbeault, Jean ; Gentil, Ivan . Nonlinear diffusions, hypercontractivity and the optimal Lp-Euclidean logarithmic Sobolev inequality. Journal of Mathematical Analysis and Applications. Volume 293. n° 2. 2004. pages 375-388. Elsevier. DOI http://dx.doi.org/10.1016/j.jmaa.2003.10.009.