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anr-efi:publications [2019/06/23 15:34]
Jean Dolbeault
anr-efi:publications [2019/08/22 16:36] (Version actuelle)
Djalil CHAFAI
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  ** 2019 **  ** 2019 **
- +  * //Improved interpolation inequalities and stability. // Dolbeault, J. & Esteban, M.J. [[https://​hal.archives-ouvertes.fr/​hal-02266625 |Hal: 02266625]] 
-  * //Viscous scalar conservation law with stochastic forcing: strong solution and invariant measure.// Martel, S. & Reygner, J. [[http:///​hal.archives-ouvertes.fr/​hal-02133338 | Hal: 02133338]] [[https://​arxiv.org/​abs/​1905.07908 |arXiv: 1905.07908]]+  * //Viscous scalar conservation law with stochastic forcing: strong solution and invariant measure.// Martel, S. & Reygner, J. [[http://​hal.archives-ouvertes.fr/​hal-02133338 | Hal: 02133338]] [[https://​arxiv.org/​abs/​1905.07908 |arXiv: 1905.07908]]
   * //A proof of the Caffarelli contraction theorem via entropic regularization.//​ Fathi, M. & Gozlan, N. & Prodhomme, M.[[http:///​hal.archives-ouvertes.fr/​hal-02096009 | Hal: 02096009]] [[https://​arxiv.org/​abs/​1904.06053 |arXiv: 1904.06053]]   * //A proof of the Caffarelli contraction theorem via entropic regularization.//​ Fathi, M. & Gozlan, N. & Prodhomme, M.[[http:///​hal.archives-ouvertes.fr/​hal-02096009 | Hal: 02096009]] [[https://​arxiv.org/​abs/​1904.06053 |arXiv: 1904.06053]]
   * //Phase transitions and macroscopic limits in a BGK model of body-attitude coordination.//​ Degond, P. & Diez, A. & Frouvelle,​ A. & Merino Aceituno, S. [[http:///​hal.archives-ouvertes.fr/​hal-02126060 | Hal:​02126060]] [[https://​arxiv.org/​abs/​1905.04885 |arXiv: 1905.04885]]   * //Phase transitions and macroscopic limits in a BGK model of body-attitude coordination.//​ Degond, P. & Diez, A. & Frouvelle,​ A. & Merino Aceituno, S. [[http:///​hal.archives-ouvertes.fr/​hal-02126060 | Hal:​02126060]] [[https://​arxiv.org/​abs/​1905.04885 |arXiv: 1905.04885]]
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   * //When the Moran process can be replaced by Wright-Fisher diffusion.//​ Gackou, G. & Guillin, A. & Personne, A. [[https://​hal.archives-ouvertes.fr/​hal-02116608 |Hal: 02116608]]   * //When the Moran process can be replaced by Wright-Fisher diffusion.//​ Gackou, G. & Guillin, A. & Personne, A. [[https://​hal.archives-ouvertes.fr/​hal-02116608 |Hal: 02116608]]
   * //On the convergence of smooth solutions from Boltzmann to Navier-Stokes.//​ Gallagher, I. & Tristani, I. [[https://​hal.archives-ouvertes.fr/​hal-02057498 |Hal: 02057498]]   * //On the convergence of smooth solutions from Boltzmann to Navier-Stokes.//​ Gallagher, I. & Tristani, I. [[https://​hal.archives-ouvertes.fr/​hal-02057498 |Hal: 02057498]]
-  * //Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: the critical case.// Cattiaux, P. & Nasreddine, E. & Puel, M. [[http:///​hal.archives-ouvertes.fr/​hal-02009792 |Hal: 02009792]] [[http://​perso.math.univ-toulouse.fr/​cattiaux/​files/​2013/​11/​CNP-critical-final.pdf |Preprint]] ​To appear in Kinet. Relat. Models. 2019.+  * //Diffusion limit for kinetic Fokker-Planck equation with heavy tails equilibria: the critical case.// Cattiaux, P. & Nasreddine, E. & Puel, M. [[http:///​hal.archives-ouvertes.fr/​hal-02009792 |Hal: 02009792]] [[http://​perso.math.univ-toulouse.fr/​cattiaux/​files/​2013/​11/​CNP-critical-final.pdf |Preprint]] ​to appear in Kinet. Relat. Models. 2019.
   * //​Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3.// Bonheure, D. & Dolbeault, J. & Esteban, M.J. Laptev, A. & Loss, M. [[http:///​hal.archives-ouvertes.fr/​hal-02021174 |Hal: 02021174]] [[https://​arxiv.org/​abs/​1902.06454 |arXiv: 1902.06454]]   * //​Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3.// Bonheure, D. & Dolbeault, J. & Esteban, M.J. Laptev, A. & Loss, M. [[http:///​hal.archives-ouvertes.fr/​hal-02021174 |Hal: 02021174]] [[https://​arxiv.org/​abs/​1902.06454 |arXiv: 1902.06454]]
-  * //Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields.// Bonheure, D. & Dolbeault, J. & Esteban, M.J. Laptev, A. & Loss, M. [[http:///​hal.archives-ouvertes.fr/​hal-02003872 |Hal: 02003872]] [[https://​arxiv.org/​abs/​1902.01065 |arXiv: 1902.01065]] +  * //Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields.// Bonheure, D. & Dolbeault, J. & Esteban, M.J. Laptev, A. & Loss, M. [[http:///​hal.archives-ouvertes.fr/​hal-02003872 |Hal: 02003872]] [[https://​arxiv.org/​abs/​1902.01065 |arXiv: 1902.01065]] ​to appear in Communications in Mathematical Physics 
-  * //​Interpolation inequalities in W1,p(S1) and carré du champ methods.// Dolbeault, J. & García-Huidobro,​ M. & Manásevich,​ R. [[http:///​hal.archives-ouvertes.fr/​hal-02003141 |Hal: 02003141]] [[https://​arxiv.org/​abs/​1902.01063 |arXiv: 1902.01063]]+  * //​Interpolation inequalities in W1,p(S1) and carré du champ methods.// Dolbeault, J. & García-Huidobro,​ M. & Manásevich,​ R. [[http:///​hal.archives-ouvertes.fr/​hal-02003141 |Hal: 02003141]] [[https://​arxiv.org/​abs/​1902.01063 |arXiv: 1902.01063]] ​to appear in Discrete & Continuous Dynamical Systems Ser. A
   * //Diffusion with very weak confinement.//​ Bouin, E. & Dolbeault, J. & Schmeiser, C. [[http:///​hal.archives-ouvertes.fr/​hal-01991665 |Hal: 01991665]] [[https://​arxiv.org/​abs/​19011901.08323   * //Diffusion with very weak confinement.//​ Bouin, E. & Dolbeault, J. & Schmeiser, C. [[http:///​hal.archives-ouvertes.fr/​hal-01991665 |Hal: 01991665]] [[https://​arxiv.org/​abs/​19011901.08323
   |arXiv: 1901.08323]]   |arXiv: 1901.08323]]
   * //​Prescribed energy connecting orbits for gradient systems.// Alessio, F. & Montecchiari,​ P. & Zuniga, A. [[http:///​hal.archives-ouvertes.fr/​hal-01990860 |Hal: 01990860]] [[https://​arxiv.org/​abs/​1901.06951   * //​Prescribed energy connecting orbits for gradient systems.// Alessio, F. & Montecchiari,​ P. & Zuniga, A. [[http:///​hal.archives-ouvertes.fr/​hal-01990860 |Hal: 01990860]] [[https://​arxiv.org/​abs/​1901.06951
-  |arXiv: 1901.06951]] +  |arXiv: 1901.06951]] ​[[http://​dx.doi.org/​10.3934/​dcds.2019200 |Doi: 10.3934/​dcds.2019200]] Discrete & Continuous Dynamical Systems Ser. A 39, 8, 4895-4928, 2019 
-  * //A family of Beckner inequalities under various curvature-dimension conditions.//​ Gentil, I. & Zugmeyer, S. [[http:///​hal.archives-ouvertes.fr/​hal-02052691 |Hal: 02052691]]  ​+  * //A family of Beckner inequalities under various curvature-dimension conditions.//​ Gentil, I. & Zugmeyer, S. [[http:///​hal.archives-ouvertes.fr/​hal-02052691 |Hal: 02052691]] 
 +  * //Coulomb gases under constraint: some theoretical and numerical results.// Chafaï, D. & Ferré, G. & Stoltz, G. [[https://​hal.archives-ouvertes.fr/​hal-02184896| hal-02184896]] [[http://​arxiv.org/​abs/​1907.05803|arXiv 1907.05803]] ​
  
  ** 2018 **  ** 2018 **
   * //​Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model.// ​ Luçon, E. & Poquet, C. [[https://​hal.archives-ouvertes.fr/​hal-01911080 |Hal: 01911080]] [[https://​arxiv.org/​abs/​1811.00305 |arXiv: 1811.00305]]   * //​Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model.// ​ Luçon, E. & Poquet, C. [[https://​hal.archives-ouvertes.fr/​hal-01911080 |Hal: 01911080]] [[https://​arxiv.org/​abs/​1811.00305 |arXiv: 1811.00305]]
-  * //Convexity and regularity properties for entropic interpolations.//​ Ripani, L. to appear in JFA [[https://​hal.archives-ouvertes.fr/​hal-01644542 |Hal: 01644542]]+  * //Convexity and regularity properties for entropic interpolations.//​ Ripani, L. [[https://​hal.archives-ouvertes.fr/​hal-01644542 |Hal: 01644542]] ​to appear in JFA
   * //An entropic interpolation proof of the HWI inequality.//​ Gentil, I. & Léonard, C. & Ripani, L. & Tamanini, L. [[http:///​hal.archives-ouvertes.fr/​hal-01840629 |Hal: 01840629]] [[https://​arxiv.org/​abs/​1807.06893 |arXiv: 1807.06893]]   * //An entropic interpolation proof of the HWI inequality.//​ Gentil, I. & Léonard, C. & Ripani, L. & Tamanini, L. [[http:///​hal.archives-ouvertes.fr/​hal-01840629 |Hal: 01840629]] [[https://​arxiv.org/​abs/​1807.06893 |arXiv: 1807.06893]]
   * //Dynamical aspects of generalized Schrödinger problem via Otto calculus - A heuristic point of view.// Gentil, I. & Léonard, C. & Ripani, L. [[http:///​hal.archives-ouvertes.fr/​hal-01806572 |Hal: 01806572]] [[https://​arxiv.org/​abs/​1806.01553 |arXiv: 1806.01553]]   * //Dynamical aspects of generalized Schrödinger problem via Otto calculus - A heuristic point of view.// Gentil, I. & Léonard, C. & Ripani, L. [[http:///​hal.archives-ouvertes.fr/​hal-01806572 |Hal: 01806572]] [[https://​arxiv.org/​abs/​1806.01553 |arXiv: 1806.01553]]
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   * //Rigidity results in generalized isothermal fluids.// Carles, R. & Carrapatoso,​ K. & Hillairet, M. Annales Henri Lebesgue, 2018, 1, pp.47-85. [[http:///​hal.archives-ouvertes.fr/​hal-01738494 |Hal: 01738494]] ​ [[https://​arxiv.org/​abs/​1803.07837   * //Rigidity results in generalized isothermal fluids.// Carles, R. & Carrapatoso,​ K. & Hillairet, M. Annales Henri Lebesgue, 2018, 1, pp.47-85. [[http:///​hal.archives-ouvertes.fr/​hal-01738494 |Hal: 01738494]] ​ [[https://​arxiv.org/​abs/​1803.07837
   |arXiv: 1803.07837]] [[https://​dx.doi.org/​10.5802/​ahl.2 | Doi: 10.5802/​ahl.2]]   |arXiv: 1803.07837]] [[https://​dx.doi.org/​10.5802/​ahl.2 | Doi: 10.5802/​ahl.2]]
-  * //Reverse Hardy-Littlewood-Sobolev inequalities.//​ Carrillo, J.A. & Delgadino, M.G. & Dolbeault, J. & Frank, R.L. & Hoffmann, F. [[http:///​hal.archives-ouvertes.fr/​hal-01837888 |Hal: 01837888]] ​ [[https://​arxiv.org/​abs/​1807.09189 +  * //Reverse Hardy-Littlewood-Sobolev inequalities.//​ Carrillo, J.A. & Delgadino, M.G. & Dolbeault, J. & Frank, R.L. & Hoffmann, F. [[http:///​hal.archives-ouvertes.fr/​hal-01837888 |Hal: 01837888]] ​ [[https://​arxiv.org/​abs/​1807.09189 |arXiv: 1807.09189]] ​to appear in Journal de Mathématiques Pures et Appliquées
-  ​|arXiv: 1807.09189]]+
   * //Stein kernels and moment maps.// Fathi, M. [[https://​arxiv.org/​abs/​1804.04699 |arXiv: 1804.04699]]   * //Stein kernels and moment maps.// Fathi, M. [[https://​arxiv.org/​abs/​1804.04699 |arXiv: 1804.04699]]
   * //A sharp symmetrized form of Talagrand'​s transport-entropy inequality for the Gaussian measure.// Fathi, M. [[https://​arxiv.org/​abs/​1806.06389|arXiv:​ 1806.06389]] Electron. Commun. Probab. Volume 23 (2018), paper no. 81, 9 pp.   * //A sharp symmetrized form of Talagrand'​s transport-entropy inequality for the Gaussian measure.// Fathi, M. [[https://​arxiv.org/​abs/​1806.06389|arXiv:​ 1806.06389]] Electron. Commun. Probab. Volume 23 (2018), paper no. 81, 9 pp.
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 ** 2017 ** ** 2017 **
-  * //Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains.// Zugmeyer, S. [[http:///​hal.archives-ouvertes.fr/​hal-01619847 |Hal: 01619847]]+  * //Sharp trace Gagliardo-Nirenberg-Sobolev inequalities for convex cones, and convex domains.// Zugmeyer, S. [[http:///​hal.archives-ouvertes.fr/​hal-01619847 |Hal: 01619847]] ​[[https://​doi.org/​10.1016/​j.anihpc.2018.11.001|Doi:​ 10.1016/​j.anihpc.2018.11.001]] Annales de l’Institut Henri Poincaré C, Analyse non linéaire, 36(3): 861 - 885, 2019.
   * //Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. // Cattiaux, P. & Guillin, A. & Monmarché, P. & Zhang, C. [[https://​hal.archives-ouvertes.fr/​hal-01571610 |Hal: 01571610]] [[https://​arxiv.org/​abs/​1708.01058 |arXiv: 1708.01058]]   * //Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. // Cattiaux, P. & Guillin, A. & Monmarché, P. & Zhang, C. [[https://​hal.archives-ouvertes.fr/​hal-01571610 |Hal: 01571610]] [[https://​arxiv.org/​abs/​1708.01058 |arXiv: 1708.01058]]
   * //Optimal linear drift for the speed of convergence of an hypoelliptic diffusion. // Guillin, A. & Monmarché, P. [[https://​hal.archives-ouvertes.fr/​hal-01306884 |Hal: 01306884]]   * //Optimal linear drift for the speed of convergence of an hypoelliptic diffusion. // Guillin, A. & Monmarché, P. [[https://​hal.archives-ouvertes.fr/​hal-01306884 |Hal: 01306884]]
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   * //Cauchy theory and exponential stability for inhomogeneous Boltzmann equation for hard potentials without cut-off.// Hérau, F. & Tonon, D. & Tristani, I. [[https://​hal.archives-ouvertes.fr/​hal-01599973 |Hal: hal-01599973]]   * //Cauchy theory and exponential stability for inhomogeneous Boltzmann equation for hard potentials without cut-off.// Hérau, F. & Tonon, D. & Tristani, I. [[https://​hal.archives-ouvertes.fr/​hal-01599973 |Hal: hal-01599973]]
   * //Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel.// Hérau, F. & Tonon, D. & Tristani, I. [[https://​hal.archives-ouvertes.fr/​hal-01596009 |Hal: hal-01596009]]   * //Short time diffusion properties of inhomogeneous kinetic equations with fractional collision kernel.// Hérau, F. & Tonon, D. & Tristani, I. [[https://​hal.archives-ouvertes.fr/​hal-01596009 |Hal: hal-01596009]]
-  * //​Hypocoercivity without confinement.//​ Bouin, E. & Dolbeault, J. & Mischler, S. & Mouhot, C. & Schmeiser, C. [[http:///​hal.archives-ouvertes.fr/​hal-01575501 |Hal: 01575501]] [[http://​arXiv.org/​abs/​1708.06180 |arXiv: 1708.06180]]+  * //​Hypocoercivity without confinement.//​ Bouin, E. & Dolbeault, J. & Mischler, S. & Mouhot, C. & Schmeiser, C. [[http:///​hal.archives-ouvertes.fr/​hal-01575501 |Hal: 01575501]] [[http://​arXiv.org/​abs/​1708.06180 |arXiv: 1708.06180]] ​to appear in Pure and Applied Analysis
   * //Dynamics of a planar Coulomb gas.// Bolley, F. & Chafaï, D. & Fontbona, J. [[http://​dx.doi.org/​10.1214/​18-AAP1386 |Doi:  10.1214/​18-AAP1386]] [[http://​arXiv.org/​abs/​1706.08776|arXiv:​1706.08776]] Annals of Applied Probability,​ 28 (5), pp.3152-3183,​ 2018.   * //Dynamics of a planar Coulomb gas.// Bolley, F. & Chafaï, D. & Fontbona, J. [[http://​dx.doi.org/​10.1214/​18-AAP1386 |Doi:  10.1214/​18-AAP1386]] [[http://​arXiv.org/​abs/​1706.08776|arXiv:​1706.08776]] Annals of Applied Probability,​ 28 (5), pp.3152-3183,​ 2018.
   * //​Equilibrium large deviations for mean-field systems with translation invariance.//​ Reygner, J. [[https://​doi.org/​10.1214/​17-AAP1379 | Doi: 10.1214/​17-AAP1379]] [[http://​arxiv.org/​abs/​1706.08780|arXiv:​1706.08780]] Annals of Applied Probability,​ 28 (5): 2922-2965, 2018.   * //​Equilibrium large deviations for mean-field systems with translation invariance.//​ Reygner, J. [[https://​doi.org/​10.1214/​17-AAP1379 | Doi: 10.1214/​17-AAP1379]] [[http://​arxiv.org/​abs/​1706.08780|arXiv:​1706.08780]] Annals of Applied Probability,​ 28 (5): 2922-2965, 2018.
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