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* A Review of Mathematical Topics in Collisional Kinetic Theory, in ''Handbook of Mathematical Fluid Dynamics'', edited by S. Friedlander and D. Serre, vol. 1, Elsevier, 2002, {{ISBN|978-0-444-50330-5}} .
* ''Topics in Optimal Transportation'', volume 58 of ''Graduate studies in mathematics'', American Mathematical Society, 2003, {{ISBN|978-0-8218-3312-4}}.
* Optimal transportation, dissipative PDE's and functional inequalities, pp.  53–89 in ''Optimal Transportation and Applications'', edited by L. A. Caffarelli and S. Salsa, volume 1813 of ''Lecture Notes in Mathematics'', Springer, 2003, {{ISBN|978-3-540-40192-6}}.
* Cercignani's conjecture is sometimes true and always almost true, ''Communications in Mathematical Physics'', vol. 234, No. 3 (March 2003), pp.  455–490.
* On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation (with Laurent Desvillettes), ''Inventiones Mathematicae'', vol. 159, #2 (2005), pp.  245–316.
* Mathematics of Granular Materials, ''Journal of Statistical Physics'', vol. 124, #2–4 (July/August 2006), pp.  781–822.
* ''Optimal transport, old and new'', volume 338 of ''Grundlehren der mathematischen Wissenschaften'', Springer, 2009, {{ISBN|978-3-540-71049-3}}.
* [http://annals.princeton.edu/annals/2009/169-3/p04.xhtml Ricci curvature for metric-measure spaces via optimal transport] (with John Lott), ''Annals of Mathematics'' vol. 169, No. 3 (2009), pp.  903–991.
* ''Hypocoercivity'', volume 202, #950 of ''Memoirs of the American Mathematical Society'', 2009, {{ISBN|978-0-8218-4498-4}}.
* ''Les Coulisses de la création'' (con Karol Beffa), Flammarion, 2015, Champs Flammarion, 2017