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anr-efi:publications [2019/06/11 15:27]
Jean Dolbeault
anr-efi:publications [2019/09/14 15:33] (Version actuelle)
Jean DOLBEAULT Temporaire
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  ** 2019 **  ** 2019 **
- +  * //​Hypocoercivity of linear kinetic equations via Harris'​s Theorem.// Cañizo, J. & Chuqi, C. & Evans, J. & Yoldas, H. [[https://​arxiv.org/​abs/​1902.10588 | arXiv: 1902.10588]] to appear in Kinetic and Related Models 
-  * //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]]+  * //​Quantitative rates of convergence to equilibrium for the degenerate linear Boltzmann equation on the torus.// Evans, J. & Moyano, I. [[https://​arxiv.org/​abs/​1907.12836 | arXiv: 1907.12836]] 
 +  * //Kinetic walk for sampling.// Monmarché P. [[https://​arxiv.org/​abs/​1903.00550| arXiv:​1903.00550]] 
 +  * //​Generalized logarithmic Hardy-Littlewood-Sobolev inequality.//​ Dolbeault, J. & Li, X. [[https://​hal.archives-ouvertes.fr/​hal-02281279 | hal-02281279]] [[https://​arxiv.org/​abs/​1909.03667 | arXiv: 1909.03667]]  
 +  * //​Elementary coupling approach for non-linear perturbation of Markov processes with mean-field jump mechanims and related problems.// Monmarché P. [[https://​arxiv.org/​abs/​1809.10953 | arXiv: 1809.10953]] 
 +  * //Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces.// Erbar, M. & Fathi, M. & Schlichting,​ A. [[https://​arxiv.org/​abs/​1908.03397 |arXiv: 1908.03397]] 
 +  * //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]] 
 +  * //Improved interpolation inequalities and stability. // Dolbeault, J. & Esteban, M.J. [[https://​hal.archives-ouvertes.fr/​hal-02266625 |Hal: 02266625]] [[http://​arxiv.org/​abs/​1908.08235 |arXiv 1908.08235]] 
 +  * //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-02140779 ​| Hal: 02140779]]+  * //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]] +  * //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 
-  * //​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]] ​[[https://​dx.doi.org/​10.3934/​dcds.2020014 | doi: 10.3934/​dcds.2020014]] 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]] ​
  
  ** 2018 **  ** 2018 **
 +  * //​Hypocoercivity in Wasserstein-1 for the kinetic Fokker-Planck equation via Malliavin Calculus.// Evans, J. [[https://​arxiv.org/​abs/​1810.01324 | arXiv: 1810.01324]]
 +  * //One dimensional critical kinetic Fokker-Planck equations, Bessel and stable processes.//​ Fournier, N. & Tardif, C. [[https://​hal.archives-ouvertes.fr/​hal-01799460 | hal-01799460]] [[http://​arxiv.org/​abs/​1805.09728 |arXiv 1805.09728]]
 +  * //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]]
 +  * //​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. 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]] ​[[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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   * //On the Simpson index for the Moran process with random selection and immigration.//​ Guillin, A. & Jabot, F & Personne, A. [[http:///​hal.archives-ouvertes.fr/​hal-01877501 |Hal: 01877501]] [[https://​arxiv.org/​abs/​1809.08890 |arXiv: 1809.08890]]   * //On the Simpson index for the Moran process with random selection and immigration.//​ Guillin, A. & Jabot, F & Personne, A. [[http:///​hal.archives-ouvertes.fr/​hal-01877501 |Hal: 01877501]] [[https://​arxiv.org/​abs/​1809.08890 |arXiv: 1809.08890]]
   * //​Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model. // Luçon, E. and Poquet, C. [[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. and Poquet, C. [[https://​arxiv.org/​abs/​1811.00305 |arXiv: 1811.00305]]
-  * //A note on existence of free Stein kernels.// Cébron, G., Fathi, M. & Mai, T. [[https://​arxiv.org/​abs/​1811.02926 |arXiv: 1811.02926]]+  * //A note on existence of free Stein kernels.// Cébron, G., Fathi, M. & Mai, T. [[https://​arxiv.org/​abs/​1811.02926 |arXiv: 1811.02926]] ​to appear in Proc. AMS.
   * //Stability of the Bakry-Emery theorem.// Courtade, T.A. & Fathi, M. [[https://​arxiv.org/​abs/​1807.09845|arXiv:​ 1807.09845]]   * //Stability of the Bakry-Emery theorem.// Courtade, T.A. & Fathi, M. [[https://​arxiv.org/​abs/​1807.09845|arXiv:​ 1807.09845]]
   * //On the Poincare constant of logconcave measures.// Cattiaux, P. & Guillin, A.  [[https://​arxiv.org/​abs/​1807.05401 |arXiv: 1810.08369]]   * //On the Poincare constant of logconcave measures.// Cattiaux, P. & Guillin, A.  [[https://​arxiv.org/​abs/​1807.05401 |arXiv: 1810.08369]]
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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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   * //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]] ​[[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 
-  ​|arXiv: 1807.09189]] +  * //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 
-  * //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]] [[https://​dx.doi.org/​10.1214/​18-ECP179 | doi: 10.1214/​18-ECP179]] 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.+
   * //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]] +  * //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]] ​[[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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   * //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.
  • anr-efi/publications.1560259646.txt.gz
  • Dernière modification: 2019/06/11 15:27
  • par Jean Dolbeault