Page personnelle de François Bolley

François Bolley

Professeur à l'ENS de Rennnes
Département de mathématiques
IRMAR, UMR CNRS 6625

Mél : francois.bolley[at]ens-rennes.fr
Bureau : E036A, aile A. Sauvy
Adresse postale :
École normale supérieure de Rennes
Campus de Ker Lann
Avenue Robert Schuman
F-35170 Bruz

Curriculum vitae

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Domaines de recherche

Systèmes de particules en interaction et limites de champ moyen

Équations cinétiques collisionnelles et de champ moyen

Transport optimal, inégalités fonctionnelles et concentration de la mesure

Publications

F. Bolley, D. Cordero-Erausquin, Y. Fujita, I. Gentil, A. Guillin. New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality. A paraître dans Int. Math. Research Notices ( pdf )

F. Bolley, D. Chafaï, J. Fontbona. Dynamics of a planar Coulomb gas. Annals of applied probability 28, 5, 3152-3183 (2018) ( pdf )

F. Bolley, I. Gentil, A. Guillin. Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities. Annals of probability 46, 1, 261-301 (2018) ( pdf )

F. Bolley, I. Gentil, A. Guillin, K. Kuwada. Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition. Annali della Scuola Normale Superiore (5) 18, 1-36 (2018) ( pdf )

D. Bakry, F. Bolley, I. Gentil. The Li-Yau inequality and applications under a curvature-dimension condition. Annales de l'Institut Fourier 67, 1, 397-421 (2017) ( pdf )

F. Bolley, A. Guillin, X. Wang. Non ultracontractive heat kernel bounds by Lyapunov conditions. Disc. Con. Dyn. Syst. - A 35, 3, 857 - 870 (2015) ( pdf )

F. Bolley, J. A. Carrillo. Nonlinear diffusion: geodesic convexity is equivalent to Wasserstein contraction. Comm. Part. Diff. Eq. 39, 10, 1860-1869 (2014) ( pdf )

F. Bolley, I. Gentil, A. Guillin. Dimensional contraction via Markov transportation distance. J. London Math. Soc. 90, 1, 309-332 (2014) ( pdf )

F. Bolley, I. Gentil, A. Guillin. Uniform convergence to equilibrium for granular media. Arch. Rat. Mech. Anal. 208, 2, 429-445 (2013) ( pdf )

D. Bakry, F. Bolley, I. Gentil. Dimension dependent hypercontractivity for Gaussian kernels. Prob. Theory Rel. Fields 154, 3, 845-874 (2012) ( pdf )

F. Bolley, I. Gentil, A. Guillin. Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations. J. Funct. Anal. 263, 8, 2430-2457 (2012) ( pdf )

D. Bakry, F. Bolley, I. Gentil, P. Maheux. Weighted Nash inequalities. Revista Mat. Iberoam. 28, 3, 879-906 (2012) ( pdf )

F. Bolley, J. A. Cañizo, J. A. Carrillo. Mean-field limit for the stochastic Vicsek model. Appl. Math. Letters 25, 3, 339-343 (2012) ( pdf )

F. Bolley, J. A. Cañizo, J. A. Carrillo. Stochastic mean-field limit: non-Lipschitz forces and swarming. Math. Models Methods Appl. Sci. 21, 11, 2179-2210 (2011) ( pdf )

F. Bolley, A. Guillin, F. Malrieu. Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. ESAIM Math. Model. Num. Analysis. 44, 5, 867-884 (2010) ( pdf )

F. Bolley. Quantitative concentration inequalities on sample path space for mean field interaction. ESAIM Prob. Stat. 14, 192-209 (2010) ( pdf )

F. Bolley, I. Gentil. Phi-entropy inequalities for diffusion semigroups. J. Math. Pures Appl. 93, 5, 449-473 (2010) ( pdf )

F. Bolley. Separability and completeness for the Wasserstein distance. Séminaire de probabilités XLI, Lecture Notes Math. 1934, 371-377 (2008) ( pdf )

F. Bolley, J. A. Carrillo. Tanaka theorem for inelastic Maxwell models. Comm. Math. Phys. 276, 2, 287-314 (2007) ( pdf )

F. Bolley, A. Guillin, C. Villani. Quantitative concentration inequalities for empirical measures on non-compact spaces. Prob. Theory Rel. Fields 137, 541-593 (2007) ( pdf )

G. Blower, F. Bolley. Concentration inequalities on product spaces with applications to Markov processes. Studia Math. 175, 1, 47-72 (2006) ( pdf )

F. Bolley, C. Villani. Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities. Ann. Faculté Sci. Toulouse 6, 14, 3, 331-352 (2005) ( pdf )

F. Bolley, Y. Brenier, G. Loeper. Contractive metrics for scalar conservation laws. J. Hyperbolic Diff. Eq. 2, 1, 91-107 (2005) ( pdf )

Actes

F. Bolley. Limite de champ moyen de systèmes de particules. Séminaire X-EDP, École Polytechnique (2010) ( pdf )

D. Bakry, F. Bolley, I. Gentil. Around Nash inequalities. Journées équations aux dérivées partielles, Port d'Albret (2010), Exp. No. 2 ( pdf )

F. Bolley, I. Gentil. Phi-entropy inequalities and Fokker-Planck equations. 7th International ISAAC Congress, Imperial College, London (2009). Progress in analysis and its applications, 463-469, World Sci. Publ., Hackensack (2010) ( pdf )

F. Bolley. Optimal coupling for mean field limits. Ecole d'été sur le transport optimal, Institut Fourier, Grenoble (2009). Optimal Transportation Theory and Applications, London Math. Soc. Lecture Note Series 413, Cambridge Univ. Press (2014) ( pdf )

Textes non-publiés

Habilitation à diriger des recherches, Paris-Dauphine, 21 novembre 2012 ( pdf)

Thèse de doctorat, ENS Lyon, 5 décembre 2005, directeur de thèse: C. Villani. Applications du transport optimal à des problèmes de limites de champ moyen ( pdf )