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anr-efi:publications [2019/09/13 16:14]
Jean Dolbeault
anr-efi:publications [2019/09/14 15:33] (Version actuelle)
Jean DOLBEAULT Temporaire
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   * //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]] ​[[https://​doi.org/​10.1007/​978-3-030-15096-9_2 | doi: 10.1007/​978-3-030-15096-9_2]] In: Giacomin G., Olla S., Saada E., Spohn H., Stoltz G. (eds) Stochastic Dynamics Out of Equilibrium. IHPStochDyn 2017. Springer Proceedings in Mathematics & Statistics, vol 282. Springer, Cham
   * //Flocking : Phase transition and asymptotic behavior.// Li, X. [[https://​hal.archives-ouvertes.fr/​hal-02143985 | Hal: 02140779]] [[https://​arxiv.org/​abs/​1906.07517 |arXiv: 1906.07517]]   * //Flocking : Phase transition and asymptotic behavior.// Li, X. [[https://​hal.archives-ouvertes.fr/​hal-02143985 | Hal: 02140779]] [[https://​arxiv.org/​abs/​1906.07517 |arXiv: 1906.07517]]
   * //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 KinetRelatModels2019.+  * //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]] ​[[http://dx.doi.org/10.3934/krm.2019028 | doi: 10.3934/​krm.2019028]] Kinetic & Related Models ​ 12 (4), 2019, 727-748
   * //​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]] [[http://​dx.doi.org/​10.1007/​s00220-019-03560-y | doi: 10.1007/​s00220-019-03560-y]] Communications in Mathematical Physics   * //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]] [[http://​dx.doi.org/​10.1007/​s00220-019-03560-y | doi: 10.1007/​s00220-019-03560-y]] Communications in Mathematical Physics
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   * //Anomalous diffusion for multi-dimensional critical Kinetic Fokker-Planck equations.//​ Fournier, N. & Tardif, C. [[http://​arxiv.org/​abs/​1812.06806 |arXiv 1812.06806]]   * //Anomalous diffusion for multi-dimensional critical Kinetic Fokker-Planck equations.//​ Fournier, N. & Tardif, C. [[http://​arxiv.org/​abs/​1812.06806 |arXiv 1812.06806]]
   * //​Higher-order Stein kernels for Gaussian approximation.//​ Fathi, M.[[https://​arxiv.org/​abs/​1812.02703 |arXiv: 1812.02703]]   * //​Higher-order Stein kernels for Gaussian approximation.//​ Fathi, M.[[https://​arxiv.org/​abs/​1812.02703 |arXiv: 1812.02703]]
-  * //​Hypocoercive estimates on foliations and velocity spherical Brownian motion.// Baudoin, F. & Tardif, C. [[https://​hal.archives-ouvertes.fr/​hal-01793658| hal-01793658]] [[http://​arxiv.org/​abs/​1604.06813|arXiv 1604.06813]] Kinetic & Related Models, 2018  11(1): 1-23. +  * //​Hypocoercive estimates on foliations and velocity spherical Brownian motion.// Baudoin, F. & Tardif, C. [[https://​hal.archives-ouvertes.fr/​hal-01793658| hal-01793658]] [[http://​arxiv.org/​abs/​1604.06813|arXiv 1604.06813]] [[http://​dx.doi.org/​10.3934/​krm.2018001 | doi: 10.3934/​krm.2018001]] Kinetic & Related Models, 2018  11(1): 1-23. 
   * //​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. [[https://​hal.archives-ouvertes.fr/​hal-01644542 |Hal: 01644542]] ​to appear in JFA +  * //Convexity and regularity properties for entropic interpolations.//​ Ripani, L. [[https://​hal.archives-ouvertes.fr/​hal-01644542 |Hal: 01644542]] ​[[https://​doi.org/​10.1016/​j.jfa.2019.04.004 | doi: 10.1016/​j.jfa.2019.04.004]] Journal of Functional Analysis 277 (2), 2019, 368-391 
-  * //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]]
   * //On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres.// Carrapatoso,​ K. & Hillairet, M. [[http:///​hal.archives-ouvertes.fr/​hal-01779091 |Hal: 01779091]] [[https://​arxiv.org/​abs/​1804.10498 |arXiv: 1804.10498]]   * //On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres.// Carrapatoso,​ K. & Hillairet, M. [[http:///​hal.archives-ouvertes.fr/​hal-01779091 |Hal: 01779091]] [[https://​arxiv.org/​abs/​1804.10498 |arXiv: 1804.10498]]
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   * //Geometric ergodicity of the bouncy particle sampler.// Durmus, A. & Guillin, A. & Monmarché, P.   ​[[https://​arxiv.org/​abs/​1807.05401 |arXiv: 1807.05401]]   * //Geometric ergodicity of the bouncy particle sampler.// Durmus, A. & Guillin, A. & Monmarché, P.   ​[[https://​arxiv.org/​abs/​1807.05401 |arXiv: 1807.05401]]
   * //Piecewise Deterministic Markov Processes and their invariant measure.// Durmus, A. & Guillin, A. & Monmarché, P.   ​[[https://​arxiv.org/​abs/​1807.05421 |arXiv: 1807.05421]]   * //Piecewise Deterministic Markov Processes and their invariant measure.// Durmus, A. & Guillin, A. & Monmarché, P.   ​[[https://​arxiv.org/​abs/​1807.05421 |arXiv: 1807.05421]]
-  * //​Simulating Coulomb gases and log-gases with hybrid Monte Carlo algorithms.//​ Chafaï, D. & Ferré, G. [[http://​hal.archives-ouvertes.fr/​hal01818268 | Hal: 01818268]]+  * //​Simulating Coulomb gases and log-gases with hybrid Monte Carlo algorithms.//​ Chafaï, D. & Ferré, G. [[http://​hal.archives-ouvertes.fr/​hal01818268 | Hal: 01818268]] ​[[https://​doi.org/​10.1007/​s10955-018-2195-6 | doi: 10.1007/​s10955-018-2195-6]] Journal of Statistical Physics 174 (3), 2019, 692-714
   * //On Poincaré and logarithmic Sobolev inequalities for a class of singular Gibbs measures.// Chafaï, D. & Lehec, J. [[http://​hal.archives-ouvertes.fr/​hal-01781502| Hal: 01781502]] ​   * //On Poincaré and logarithmic Sobolev inequalities for a class of singular Gibbs measures.// Chafaï, D. & Lehec, J. [[http://​hal.archives-ouvertes.fr/​hal-01781502| Hal: 01781502]] ​
   * //Stochatic Cucker-Smale models: old and new.// Cattiaux, P. & Delebecque, F. & Pédèches, LR. [[https://​hal.archives-ouvertes.fr/​hal-01826717 |Hal: 01826717]] [[http://​doi.org/​10.1214/​18-AAP1400 |Doi: 10.1214/​18-AAP1400]] Ann. Appl. Probab. 28 (5): 3239–3286,​ 2018   * //Stochatic Cucker-Smale models: old and new.// Cattiaux, P. & Delebecque, F. & Pédèches, LR. [[https://​hal.archives-ouvertes.fr/​hal-01826717 |Hal: 01826717]] [[http://​doi.org/​10.1214/​18-AAP1400 |Doi: 10.1214/​18-AAP1400]] Ann. Appl. Probab. 28 (5): 3239–3286,​ 2018
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   |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 |arXiv: 1807.09189]] [[https://​doi.org/​10.1016/​j.matpur.2019.09.001 | doi: 10.1016/​j.matpur.2019.09.001]] to appear in Journal de Mathématiques Pures et Appliquées   * //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]] [[https://​doi.org/​10.1016/​j.matpur.2019.09.001 | doi: 10.1016/​j.matpur.2019.09.001]] to appear in Journal de Mathématiques Pures et Appliquées
-  * //Stein kernels and moment maps.// Fathi, M. [[https://​arxiv.org/​abs/​1804.04699 |arXiv: 1804.04699]] ​to appear in Annals of Probability. +  * //Stein kernels and moment maps.// Fathi, M. [[https://​arxiv.org/​abs/​1804.04699 |arXiv: 1804.04699]] ​[[https://​dx.doi.org/​10.1214/​18-AOP1305 | doi: 10.1214/​18-AOP1305]] ​Annals of Probability ​47 (4), 2019, 2172-2185 
-  * //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]] [[https://​dx.doi.org/​10.1214/​18-ECP179 | doi: 10.1214/​18-ECP179]] Electron. Commun. Probab. Volume 23 (2018), paper no. 81, 9 pp.
   * //Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction,​ a slow-fast dynamics approach. // Luçon, E. and Poquet, C. [[https://​arxiv.org/​abs/​1802.06410 |arXiv: 1802.06410]]   * //Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction,​ a slow-fast dynamics approach. // Luçon, E. and Poquet, C. [[https://​arxiv.org/​abs/​1802.06410 |arXiv: 1802.06410]]
   * //Magnetic rings. // Dolbeault, J. & Esteban, M.J. & Laptev, A. & Loss, M. [[https://​doi.org/​10.1063/​1.5022121 | Doi: 10.1063/​1.5022121]] [[https://​hal.archives-ouvertes.fr/​hal-01680917 |Hal: 01680917]] [[https://​arxiv.org/​abs/​1801.03810 |arXiv: 1801.03810]] Journal of Mathematical Physics, 59 (5): 051504, 2018.   * //Magnetic rings. // Dolbeault, J. & Esteban, M.J. & Laptev, A. & Loss, M. [[https://​doi.org/​10.1063/​1.5022121 | Doi: 10.1063/​1.5022121]] [[https://​hal.archives-ouvertes.fr/​hal-01680917 |Hal: 01680917]] [[https://​arxiv.org/​abs/​1801.03810 |arXiv: 1801.03810]] Journal of Mathematical Physics, 59 (5): 051504, 2018.
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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]] [[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.   * //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]] to appear in Journal of Functional Analysis.+  * //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]] [[https://​doi.org/​10.1016/​j.jfa.2019.108288 | doi: 10.1016/​j.jfa.2019.108288]] to appear in Journal of Functional Analysis.
   * //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]]
   * //​Phi-entropies for Fokker-Planck and kinetic Fokker-Planck equations. // Dolbeault, J. & Li, X. [[https://​doi.org/​10.1142/​S0218202518500574 | Doi: 10.1142/​S0218202518500574]] [[https://​hal.archives-ouvertes.fr/​hal-01672455 |Hal: 01672455]] [[https://​arxiv.org/​abs/​1712.09897 |arXiv: 1712.09897]],​ Mathematical Models and Methods in Applied Sciences (M3AS), 28 (13): 2637-2666, 2018   * //​Phi-entropies for Fokker-Planck and kinetic Fokker-Planck equations. // Dolbeault, J. & Li, X. [[https://​doi.org/​10.1142/​S0218202518500574 | Doi: 10.1142/​S0218202518500574]] [[https://​hal.archives-ouvertes.fr/​hal-01672455 |Hal: 01672455]] [[https://​arxiv.org/​abs/​1712.09897 |arXiv: 1712.09897]],​ Mathematical Models and Methods in Applied Sciences (M3AS), 28 (13): 2637-2666, 2018
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