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anr-efi:publications [2018/11/29 10:53]
Arnaud GUILLIN
anr-efi:publications [2019/03/18 14:49] (Version actuelle)
Christophe POQUET
Ligne 1: Ligne 1:
-** 2018 **+ ** 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. 
 +  * //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]] 
 +  * //​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]] 
 +  * //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]] 
 +  * //​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]] 
 +  * //Rigidity results in generalized isothermal fluids.// Carles, R. & Carrapatoso,​ K. & Hillairet, M. [[http:///​hal.archives-ouvertes.fr/​hal-01738494 |Hal: 01738494]] ​ [[https://​arxiv.org/​abs/​1803.07837 
 +  |arXiv: 1803.07837]] to appear in Annales Henri Lebesgue (2019) 
 +  * //A family of Beckner inequalities under various curvature-dimension conditions.//​ Gentil, I. & Zugmeyer, S. [[http:///​hal.archives-ouvertes.fr/​hal-02052691 |Hal: 02052691]]  ​
  
-  ​* //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]]+ ** 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]] 
 +  * //Convexity and regularity properties for entropic interpolations.//​ Ripani, L. to appear in JFA [[https://​hal.archives-ouvertes.fr/​hal-01644542 |Hal: 01644542]] 
 +  * //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]] 
 +  * //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]] 
 +  * //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 Accad. Naz. Lincei Rend. Lincei Mat. Appl. 
 +  ​* //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]]
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   * //​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]]
   * //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]]+  * //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
   * //An elementary approach to uniform in time propagation of chaos.// Durmus, A. & Eberle, A. & Guillin, A. & Zimmer, R. [[http:///​hal.archives-ouvertes.fr/​hal-01801275 |Hal: 01801275]]   * //An elementary approach to uniform in time propagation of chaos.// Durmus, A. & Eberle, A. & Guillin, A. & Zimmer, R. [[http:///​hal.archives-ouvertes.fr/​hal-01801275 |Hal: 01801275]]
   * //Sharp Beckner-type inequalities for Cauchy and spherical distributions.//​ Bakry, D. &  Gentil, I. & Scheffer, G. [[http:///​hal.archives-ouvertes.fr/​hal-01761215 |Hal: 01761215]]   * //Sharp Beckner-type inequalities for Cauchy and spherical distributions.//​ Bakry, D. &  Gentil, I. & Scheffer, G. [[http:///​hal.archives-ouvertes.fr/​hal-01761215 |Hal: 01761215]]
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   * //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.
 +  * //​Interpolation inequalities and spectral estimates for magnetic operators. // Dolbeault, J. & Esteban, M.J. & Laptev, A. & Loss, M. [[https://​dx.doi.org/​10.1007/​s00023-018-0663-9 | Doi: 10.1007/​s00023-018-0663-9]] [[https://​hal.archives-ouvertes.fr/​hal-01534961 |Hal: 01534961]] [[https://​arxiv.org/​abs/​1706.02950 |arXiv: 1706.02950]] Annales de l'​Institut Henri Poincaré (C) Non Linear Analysis, ​ 19 (5), pp.1439-1463,​ 2018.
  
 ** 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]]
   * //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]]
-  * //​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).+  * //​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]]   * //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]]
-  * //Dynamics of a planar Coulomb gas.// Bolley, F. & Chafaï, D. & Fontbona, J. [[http://​arXiv.org/​abs/​1706.08776|arXiv:​1706.08776]]+  * //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.
-  * //Long time behaviour and mean-field limit of Atlas models.// Reygner, J. [[https://​doi.org/​10.1051/​proc/​201760132 | Doi: 10.1051/​proc/​201760132]] [[http://​arxiv.org/​abs/​1705.08140|arXiv:​1705.08140]],​ ESAIM: Proceedings and Surveys (Journées MAS 2016 de la SMAI - Phénomènes complexes et hétérogènes),​ 60: 132-143, 2017+  * //Long time behaviour and mean-field limit of Atlas models.// Reygner, J. [[https://​doi.org/​10.1051/​proc/​201760132 | Doi: 10.1051/​proc/​201760132]] [[http://​arxiv.org/​abs/​1705.08140|arXiv:​1705.08140]],​ ESAIM: Proceedings and Surveys (Journées MAS 2016 de la SMAI - Phénomènes complexes et hétérogènes),​ 60: 132-143, 2017.
  
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