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anr-efi:publications [2019/10/11 17:39]
Jean Dolbeault
anr-efi:publications [2020/05/30 21:26] (Version actuelle)
Jean DOLBEAULT Temporaire
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- ** 2019 **+** 2020 **  
 +  * // Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias.// Ehrlacher, V. & Lelièvre, T. & Monmarché, P. [[https://​hal.archives-ouvertes.fr/​hal-02314426 | hal-02314426]] 
 +  * // Metastability for systems of interacting neurons.// Löcherbach,​ E. & Monmarché, P. [[https://​arxiv.org/​abs/​2004.13353 | arXiv: 2004.13353]] 
 +  * // Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model.// Dolbeault, J. & Turinici, G. [[https://​hal.archives-ouvertes.fr/​hal-02559938 | hal-02559938]] [[https://​arxiv.org/​abs/​2005.00049 | arxiv: 2005.00049]] and //Social heterogeneity and the COVID-19 lockdown in a multi-group SEIR model.// Dolbeault, J. & Turinici, G.[[https://​www.medrxiv.org/​content/​10.1101/​2020.05.15.20103010v1 | doi: 10.1101/​2020.05.15.20103010]] 
 +  * // Metastability for systems of interacting neurons.// Löcherbach,​ E. & Monmarché, P. [[https://​arxiv.org/​abs/​2004.13353 | arXiv: 2004.13353]] 
 +  * // Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes.//​ Guillin, A. & Monmarché, P. [[https://​hal.archives-ouvertes.fr/​hal-02504451 | hal-02504451]] 
 +  * // Self improvement of the Bakry-Emery criterion for Poincaré inequalites and wasserstein contraction using variable curvature bounds.// Cattiaux, P. & Fathi, M. & Guillin, A. [[https://​hal.archives-ouvertes.fr/​hal-02486264 | hal-02486264]] 
 +  * // Low lying eigenvalues and convergence to the equilibrium of some Piecewise Deterministic Markov Processes generators in the small temperature regime.// Guillin, A. & Nectoux, B. [[https://​hal.archives-ouvertes.fr/​hal-02436593 | hal-02436593]] 
 +  * // Infinite time blow-up in the Keller-Segel system: existence and stability.//​ del Pino, M. & Davila, J. & Dolbeault,​ J & Musso, M. & Wei, J. [[https://​hal.archives-ouvertes.fr/​hal-02394787 | hal-02394787]] ​ [[https://​arxiv.org/​abs/​1911.12417 | arXiv: 1911.12417]] 
 + 
 +** 2019 ** 
 + 
 +  * // Poincaré and Logarithmic Sobolev inequalities for nearly radial measures.// P. Cattiaux, A. Guillin, L. Wu. [[https://​hal.archives-ouvertes.fr/​hal-02418658 | hal-02418658]] 
 +  * //​Persistence of the Moran model with random switching.//​ A. Guillin, A. Personne, E. Strickler. [[https://​hal.archives-ouvertes.fr/​hal-02344516 | hal-02344516]] 
 +  * //Kinetic Fokker-Planck equation with mean field interactions.//​ A. Guillin, B. Liu, L. Wu, C. Zhang. [[https://​hal.archives-ouvertes.fr/​hal-02387517v1 | hal-02387517v1]] 
 +  * //Uniform Poincaré, and logarithmic Sobolev inequalities for mean field models.// A. Guillin, B. Liu, L. Wu, C. Zhang. [[https://​hal.archives-ouvertes.fr/​ | ]] 
 +  * //A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium.//​ Ayi, N. & Herda, M. & Hivert, N. & Tristani, I. [[https://​arxiv.org/​abs/​1911.11535 | arXiv: 1911.11535]]  
 +  * //​Fractional Hypocoercivity.//​ Bouin, E. & Dolbeault, J. & Lafleche, L. & Schmeiser, C. [[https://​hal.archives-ouvertes.fr/​hal-02377205 | hal-02377205]] [[https://​arxiv.org/​abs/​1911.11020 | arXiv: 1911.11020]]  
 +  * //​Hypocoercivity and sub-exponential local equilibria.//​ Bouin, E. & Dolbeault, J. & Lafleche, L. & Schmeiser, C. [[https://​hal.archives-ouvertes.fr/​hal-02377195 | hal-02377195]] [[https://​arxiv.org/​abs/​1911.10961 | arXiv: 1911.10961]] ​
   * //​Asymptotic behavior of Nernst-Planck equation.// Li, X. [[https://​hal.archives-ouvertes.fr/​hal-02310654 | hal-02310654]] [[https://​arxiv.org/​abs/​1910.04477 | arXiv: 1910.04477]] ​   * //​Asymptotic behavior of Nernst-Planck equation.// Li, X. [[https://​hal.archives-ouvertes.fr/​hal-02310654 | hal-02310654]] [[https://​arxiv.org/​abs/​1910.04477 | arXiv: 1910.04477]] ​
   * //​L2-Hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system.// Addala, L. & Dolbeault & J. Li, X. & Tayeb, M.L. [[https://​hal.archives-ouvertes.fr/​hal-02299535 | hal-02299535]] [[https://​arxiv.org/​abs/​1909.12762 | arXiv: 1909.12762]]   * //​L2-Hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system.// Addala, L. & Dolbeault & J. Li, X. & Tayeb, M.L. [[https://​hal.archives-ouvertes.fr/​hal-02299535 | hal-02299535]] [[https://​arxiv.org/​abs/​1909.12762 | arXiv: 1909.12762]]
 +  * //​Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the torus.// Evans, J. [[https://​hal.archives-ouvertes.fr/​hal-02285252 | hal-02285252]] ​
   * //​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   * //​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
   * //​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]]   * //​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]]   * //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 arXiv1909.03667]] +  * //​Generalized logarithmic Hardy-Littlewood-Sobolev inequality.//​ Dolbeault, J. & Li, X. [[https://​hal.archives-ouvertes.fr/​hal-02281279 | hal-02281279]] [[https://doi.org/10.1093/​imrn/​rnz324 ​|doi10.1093/​imrn/​rnz324]], International Mathematics Research Notices, rnz324, 2020
   * //​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]]   * //​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]]   * //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]]   * //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]]+  * //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]] ​[[https://​doi.org/​10.1515/​ans-2020-2080 |doi: 10.1515/​ans-2020-2080]] Advanced Nonlinear Studies; 20 (2), 277–291 (2020)
   * //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]]
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   * //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]] ​Annales Henri Lebesgue, UFR de Mathématiques - IRMAR, In press
   * //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   * //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
-  * //​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 +  * //​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]] Discrete & Continuous Dynamical Systems Ser. A, 40 (1): 375-394, 2020 
-  * //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]] ​[[https://​doi.org/​10.3934/​krm.2020012 |doi: 10.3934/​krm.2020012]] Kinetic and Related Models, AIMS, In press
-  ​|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]] [[http://​dx.doi.org/​10.3934/​dcds.2019200 |Doi: 10.3934/​dcds.2019200]] Discrete & Continuous Dynamical Systems Ser. A 39, 8, 4895-4928, 2019   |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
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   * //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]]
-  * //​Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations.//​ Degond, P. & Frouvelle, A. & Merino-Aceituno,​ S. & Trescases, A. [[http:///​hal.archives-ouvertes.fr/​hal-01894363 |Hal: 01894363]] [[https://​arxiv.org/​abs/​1810.06903 |arXiv: 1810.06903]] +  * //​Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations.//​ Degond, P. & Frouvelle, A. & Merino-Aceituno,​ S. & Trescases, A. [[http:///​hal.archives-ouvertes.fr/​hal-01894363 |Hal: 01894363]] [[https://​arxiv.org/​abs/​1810.06903 |arXiv: 1810.06903]] ​[[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 
-  * //A variational proof of Nash's inequality.//​ Bouin, E. & Dolbeault, J. & Schmeiser, C. [[http:///​hal.archives-ouvertes.fr/​hal-01940110 |Hal: 01940110]] [[https://​arxiv.org/​abs/​1811.12770 |arXiv: 1811.12770]] ​to appear in Atti AccadNazLincei ​Rend. Lincei Mat. Appl.+  * //A variational proof of Nash's inequality.//​ Bouin, E. & Dolbeault, J. & Schmeiser, C. [[http:///​hal.archives-ouvertes.fr/​hal-01940110 |Hal: 01940110]] [[https://​arxiv.org/​abs/​1811.12770 |arXiv: 1811.12770]] ​[[https://​doi.org/10.4171/​RLM/​886 | doi: 10.4171/​RLM/​886]] ​Rend. Lincei Mat. Appl. 31 (2020), 211–223 ​
   * //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]]
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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 |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]] Journal de Mathématiques Pures et Appliquées, Elsevier, 2019, 132, pp.133-165
   * //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]] [[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]] [[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]] [[https://​dx.doi.org/​10.1214/​18-ECP179 | doi: 10.1214/​18-ECP179]] Electron. Commun. Probab. Volume 23 (2018), paper no. 81, 9 pp.
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   * //​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
   * //Symmetry and symmetry breaking: rigidity and flows in elliptic PDEs.// Dolbeault, J. & Esteban, M.J. & Loss, M. [[https://​hal.archives-ouvertes.fr/​hal-01651793 |Hal: 01651793]] [[https://​arxiv.org/​abs/​1711.11291 |arXiv: 1711.11291]],​ Proc. Int. Cong. of Math., Rio de Janeiro, 3: 2279-2304, 2018.   * //Symmetry and symmetry breaking: rigidity and flows in elliptic PDEs.// Dolbeault, J. & Esteban, M.J. & Loss, M. [[https://​hal.archives-ouvertes.fr/​hal-01651793 |Hal: 01651793]] [[https://​arxiv.org/​abs/​1711.11291 |arXiv: 1711.11291]],​ Proc. Int. Cong. of Math., Rio de Janeiro, 3: 2279-2304, 2018.
-  * //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]]+  * //Regularization estimates and Cauchy theory 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]] ​to appear in Pure and Applied Analysis+  * //​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]] ​[[dx.doi.org/​10.2140/​paa.2020.2.203 | doi: 10.2140/​paa.2020.2.203]] ​Pure and Applied Analysis ​2 (2), 203-232 (2020)
   * //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.1570808354.txt.gz
  • Dernière modification: 2019/10/11 17:39
  • par Jean Dolbeault