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anr-efi:publications [2018/11/29 11:53] Arnaud GUILLINanr-efi:publications [2023/05/04 12:55] (Version actuelle) Jean Dolbeault
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-** 2018 **+** 2022 ** 
 +  * // Eyring-Kramers exit rates for the overdamped Langevin dynamics: the case with saddle points on the boundary.// Lelièvre, T. & Le Peutrec, D. & Nectoux, B. [[https://hal.archives-ouvertes.fr/hal-03728053 | hal-03728053]] [[https://hal.archives-ouvertes.fr/hal-03728053 | hal-03728053]] [[https://arxiv.org/abs/2207.09284 | arxiv: 2207.09284]] 
 +  * // Convergence of the kinetic annealing for general potentials.// Journel, L. & Monmarché, P. [[https://hal.archives-ouvertes.fr/hal-03762601 | hal-03762601]] [[https://arxiv.org/abs/2107.11619 | arxiv: 2107.11619]] 
 +  * // Almost sure contraction for diffusions on  $\mathbb R^d$. Application to generalised Langevin diffusions.// Monmarché, P. [[https://hal.archives-ouvertes.fr/hal-03762614 | hal-03762614]] [[https://arxiv.org/abs/2009.10828 | arxiv: 2009.10828]] 
 +  * // Uniform convergence of the Fleming-Viot process in a hard killing metastable case.// Journel, L. & Monmarché, P. [[https://hal.archives-ouvertes.fr/hal-03762609|hal-03762609]][[https://arxiv.org/abs/2207.02030|arxiv: 2207.02030]] 
 +  * // Wasserstein contraction and Poincaré inequalities for elliptic diffusions at high temperature.// Monmarché, P. [[https://hal.archives-ouvertes.fr/hal-03762610|hal-03762610]] [[https://arxiv.org/abs/2201.07523|2201.07523]] 
 +  * // From kinetic to fluid models of liquid crystals by the moment method.// Degond, P. & Frouvelle, A. & Liu, J.-G. [[https://doi.org/10.3934/krm.2021047 | doi: 10.3934/krm.2021047]] Kinetic and Related Models , AIMS, 2022, 15 (3), pp.417-465 
 +  * // Overdamped limit at stationarity for non-equilibrium Langevin diffusions.// Monmarché, P. & Ramil M. Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2022, 27 (none),[[https://doi.org/10.1214/22-ECP447 | doi: 10.1214/22-ECP447]] 
 +  * // Finite-Volume approximation of the invariant measure of a viscous stochastic scalar conservation law.// Boyaval, S. & Martel, S. & Reygner, R. [[[https://doi.org/10.1093/imanum/drab049 | doi: 10.1093/imanum/drab049 ]]IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2022, 42 (3), pp.2710-2770 
 +  * // Mathematical foundations for the Parallel Replica algorithm applied to the underdamped Langevin dynamics.// Ramil M. & Lelièvre T. & Reygner J. MRS Communications [[https://doi.org/10.1557/s43579-022-00207-3 | doi: 10.1557/s43579-022-00207-3]] 
 +  * // Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results.// Brigati, G. & Dolbeault, J. & Simonov, N. [[https://arxiv.org/abs/2211.13180 | arXiv: 2211.13180]] [[https://hal.archives-ouvertes.fr/hal-03868496 | hal-03868496]] 
 +  * // Interpolation inequalities on the sphere: rigidity, branches of solutions, and symmetry breaking.// Bou Dagher, E. & Dolbeault, J. [[https://arxiv.org/abs/2210.16878 | arXiv: 2210.16878]] [[https://hal.archives-ouvertes.fr/hal-03834676 | hal-03834676]] 
 +  * // Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities.// Dolbeault, J. & Zuniga, A. [[https://arxiv.org/abs/2210.12488 | arXiv: 2210.12488]] [[https://hal.archives-ouvertes.fr/hal-03825574 | hal-03825574]] 
 +  * // Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence.// Dolbeault, J. & Esteban, M.J. & Figalli, A. & Frank, R.L. & Loss, M. [[https://arxiv.org/abs/2209.08651 | arXiv: 22209.08651]] [[https://hal.archives-ouvertes.fr/hal-03780031 | hal-03780031]] 
 +  * // Keller estimates of the eigenvalues in the gap of Dirac operators.// Dolbeault, J. & Gontier, D. & Pizzichillo & F. Van Den Bosch, H. [[https://arxiv.org/abs/2210.03091 | arXiv: 2210.03091]] [[https://hal.archives-ouvertes.fr/hal-03803758 | hal-03803758]] 
 +  * // PDMP characterisation of event-chain Monte Carlo algorithms for particle systems.// Monemvassitis, A. & Guillin A. & Michel M. [[https://arxiv.org/abs/2208.11070 | arXiv:2208.11070]] 
 +  * // Law of large numbers and central limit theorem for wide two-layer neural networks: the mini-batch and noisy cases.// Descours, A. & Guillin A. & Michel M. & Nectoux B.[[https://hal.archives-ouvertes.fr/UMR6620/hal-03737557v1 | hal-03737557]] 
 +  * // Estimation of statistics of transitions and Hill relation for Langevin dynamics.// Lelièvre T. & Ramil M. & Reygner J. [[https://hal.archives-ouvertes.fr/hal-03659510 | hal-03659510]] [[https://arxiv.org/abs/2206.13264 | arXiv: 2206.13264]] 
 +  * // Recent progress on limit theorems for large stochastic particle systems.// Fathi M. & Le Bris P. & Menegaki A. & Monmarché P. & Reygner J. & Tomasevic M. [[https://hal.archives-ouvertes.fr/hal-03711772 | hal-03711772]] 
 +  * //Label noise (stochastic) gradient descent implicitly solves the Lasso for quadratic parametrisation.// Pillaud-Vivien L. & ReygnerJ. & Flammarion, N. [[https://arxiv.org/abs/2206.09841 | arXiv: 2206.09841]] [[https://proceedings.mlr.press/v178/vivien22a.html| link: https://proceedings.mlr.press/v178/vivien22a.html]] Proceedings of Thirty Fifth Conference on Learning Theory, PMLR 178: 2127-2159, 2022  
 +  * // The normal contraction property for non-bilinear Dirichlet forms.// Brigati G. & Hartarsky I. [[https://hal.archives-ouvertes.fr/hal-03663291 | hal-03663291]] [[https://arxiv.org/abs/2205.02928 | arXiv: 2205.02928]] 
 +  * // On the eigenvalues of operators with gaps. Application to Dirac operators.// Dolbeault J. & Esteban M.J. & Séré E. [[https://hal.archives-ouvertes.fr/hal-03702964 | hal-03702964]] [[https://arxiv.org/abs/2206.11679| arXiv: 2206.11679]] 
 +  * // On systems of particles in singular repulsive interaction in dimension one : log and Riesz gas.// Guillin A. & Le Bris P. & Monmarché P.[[https://arxiv.org/abs/2204.10653 | arXiv:2204.10653]] 
 +  * // Stability estimates for the sharp spectral gap bound under a curvature-dimension condition.// Fathi, M. & Gentil, I. & Serres, J. [[https://arxiv.org/abs/2202.03769 | arxiv: 2202.03769]] [[https://hal.archives-ouvertes.fr/hal-03581542 |hal-03581542]] 
 +  * // Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations.// Bonforte, M. & Dolbeault, J. & Nazaret, B. & Simonov, N. [[https://arxiv.org/abs/2202.09693 | arxiv: 2202.09693]] [[https://hal.archives-ouvertes.fr/hal-03581542 |hal-03581542]] Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, in press 
 +  * // Parabolic methods for ultraspherical interpolation inequalities.// Dolbeault, J. & Zhang, A. [[https://arxiv.org/abs/2202.07041 | arxiv: 2202.07041]] [[https://hal.archives-ouvertes.fr/hal-03573888 | hal-03573888]] 
 +  * // Hardy-Littlewood-Sobolev and related inequalities: stability.// Dolbeault, J. & Esteban, M.J. [[https://arxiv.org/abs/2202.02972 | arxiv: 2202.02972]] [[https://hal.archives-ouvertes.fr/hal-03559431 | hal-03559431]] 
 +  * // Sticky nonlinear SDEs and convergence of McKean-Vlasov equations without confinement.// Durmus, A. & Eberle, A. & Guillin, A. & Schuh, K. [[https://arxiv.org/abs/2201.07652 | arxiv:2201.07652]] [[https://hal.uca.fr/hal-03536620|hal-03536620]] 
 +  * // A journey with the Gamma-2 integrated criterion and its weak form.// Cattiaux, P. & Guillin, A. [[https://arxiv.org/abs/2201.07475| arxiv: 2201.07475]] [[https://hal.uca.fr/hal-03533183 | hal-03533183]] 
 +  * //Hypocoercivity with Schur complements.// Bernard, E. & Fathi, M. & Levitt, A. & Stoltz, G.,  Ann. H. Lebesgue 5 (2022), 523–557. [[https://hal.archives-ouvertes.fr/hal-03033217 | hal-03033217]] [[https://arxiv.org/abs/2003.00726 | arxiv: 2003.00726]] [[https://doi.org/10.5802/ahl.129 | doi: https://doi.org/10.5802/ahl.129]]
  
-  * //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]]+** 2021 ** 
 +  * //The Vlasov-Poisson-Boltzmann/Landau system with polynomial perturbation near Maxwellian//, Cao, C. & Deng, D. & Li, X. [[http://arxiv.org/abs/2111.05569 |arXiv: 2111.05569]] 
 +  * //Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition//, Bernou, A. & Carrapatoso, K. & Mischler, S. & Tristani, I. [[http://arxiv.org/abs/2102.07709 |arXiv: 2102.07709]] [[https://hal.archives-ouvertes.fr/hal-03142785 |hal-03142785]]  
 +  * //On a structure-preserving numerical method for fractional Fokker-Planck equations//, Ayi, N. & Herda, M. & Hivert, H. & Tristani, I. [[http://arxiv.org/abs/2107.13416 |arXiv: 2107.13416]] [[https://hal.archives-ouvertes.fr/hal-03305165 |hal-03305165]]  
 +  * //Universal cutoff for Dyson Ornstein Uhlenbeck process//, Boursier, J. & Chafaï, D. & Labbé, C. [[http://arxiv.org/abs/2107.14452|arXiv:2107.14452]] [[https://hal.archives-ouvertes.fr/hal-03311688|hal-03311688]]  
 +  * // Stability of eigenvalues and observable diameter in RCD(1,∞) spaces ,// Bertrand, J. & Fathi, M.  [[http://arxiv.org/abs/2107.05324 | arXiv: 2107.05324]] [[https://doi.org/10.1007/s12220-022-00999-9 | doi: 10.1007/s12220-022-00999-9]] The Journal of Geometric Analysis, Springer, 2022, 32 (11), pp. 270 
 +  * //A conformal geometric point of view on the Caffarelli-Kohn-Nirenberg inequality,// L. Dupaigne, I. Gentil, S. Zugmeyer [[https://hal.archives-ouvertes.fr/hal-03456704v1 | hal-03456704]] 
 +  * // Quasi-stationary distribution for the Langevin process in cylindrical domains, part I: existence, uniqueness and long-time convergence,// Lelièvre, T. & Ramil, M. & Reygner, J. [[https://hal.archives-ouvertes.fr/hal-03123442 | hal-03123442]] [[http://arxiv.org/abs/2101.11999 | arXiv: 2101.11999]] [[https://doi.org/10.1016/j.spa.2021.11.005|doi: 10.1016/j.spa.2021.11.005]] Stochastic Processes and their Applications, 144: 173-201 (2022) 
 +  * // Path integral derivation and numerical computation of large deviation prefactors for non-equilibrium dynamics through matrix Riccati equations,// Bouchet, F. & Reygner, J. [[https://hal.archives-ouvertes.fr/hal-03319835 | hal-03319835]] [[http://arxiv.org/abs/2108.06916 | arXiv: 2108.06916]] [[https://doi.org/10.1007/s10955-022-02983-7 | 10.1007/s10955-022-02983-7]] Journal of Statistical Physics, Springer Verlag, 2022, 189, pp. 21 
 +  * //Long-time behaviour of entropic interpolations// Clerc, G. Conforti, I. Gentil, [[https://hal.archives-ouvertes.fr/hal-02898293 | hal-02898293]]  
 +  * //On the variational interpretation of local logarithmic Sobolev inequalities// Clerc, G. Conforti, I. Gentil, [[https://hal.archives-ouvertes.fr/hal-02996841 | hal-02996841]] 
 +  * // Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems,// Guillin, A. & Le Bris, P. & Monmarché, P. [[http://arxiv.org/abs/2108.08675 | arXiv: 2108.08675]] 
 +  * // Existence, stability and regularity of periodic solutions for nonlinear Fokker-Planck equations// Luçon, E. & Poquet, C. [[https://hal.archives-ouvertes.fr/hal-03280094 | hal-03280094]] [[https://arxiv.org/abs/2107.02468 | arXiv: 2107.02468]] [[https://doi.org/10.1007/s10884-022-10148-z  | doi: 10.1007/s10884-022-10148-z]] Journal of Dynamics and Differential Equations, Springer Verlag, 2022 
 +  * // Periodicity and longtime diffusion for mean field systems in Rd// Luçon, E. & Poquet, C. [[https://hal.archives-ouvertes.fr/hal-03280091 | hal-03280091]] [[https://arxiv.org/abs/2107.02473 | arXiv: 2107.02473]] 
 +  * // Penalised least square in sparse setting with convex penalty and non gaussian errors// Abdillahi-Ali, D. & Azzaoui, N. & Guillin, A. & Le Mailloux, G. & Matsui, T.  [[https://hal.archives-ouvertes.fr/hal-03240201 | hal-03240201]] To appear in Acta Mathematica Sciencia. 
 +  * // Time reversal of diffusion processes under a finite entropy condition// Cattiaux, P. & Conforti, G. & Gentil, I. & Léonard, C.  [[https://hal.archives-ouvertes.fr/hal-03206478 | hal-03206478]] [[https://arxiv.org/abs/2104.07708 | arXiv: 2104.07708]] Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), in press 
 +  * // Regularization estimates and hydrodynamical limit for the Landau equation,// Carrapatoso, K. & Rachid, M. & Tristani, I. [[https://hal.archives-ouvertes.fr/hal-03299125 | hal-03299125]] [[https://arxiv.org/abs/2107.12044 | arXiv: 2107.12044]] [[https://doi.org/10.1016/j.matpur.2022.05.009 | doi: 10.1016/j.matpur.2022.05.009]] Journal de Mathématiques Pures et Appliquées, Elsevier, in press 
 +  * // Logarithmic estimates for mean-field models in dimension two and the Schrödinger-Poisson system,// Dolbeault, J. & Frank, R.L. & Jeanjean, L. [[https://hal.archives-ouvertes.fr/hal-03276199 | hal-03276199]] [[https://arxiv.org/abs/2107.00610 | arXiv: 2107.00610]] [[https://doi.org/10.5802/crmath.272|doi: 10.5802/crmath.272]] Comptes Rendus. Mathématique, 359 (10): 1279-1293, jan 2022 
 +  * // Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results,// Dolbeault, J. [[https://hal.archives-ouvertes.fr/hal-03289546 | hal-03289546]] [[https://arxiv.org/abs/2107.08219 | arXiv: 2107.08219]] [[https://doi.org/10.1007/s00032-021-00341-y|Doi: 10.1007/s00032-021-00341-y]] Milan Journal of Mathematics, 89 (2): 355-386, 2021 
 +  * // Quasi-stationary distribution for Hamiltonian dynamics with singular potentials,// Guillin, A. & Nectoux, B. & Wu, L. [[https://hal.archives-ouvertes.fr/hal-03276880 | hal-03276880]] To appear in Probability Theory and Related Fields 
 +  * // Time averages for kinetic Fokker-Planck equations,// Brigati, G. [[https://hal.archives-ouvertes.fr/hal-03269451 | hal-03269451]] [[https://arxiv.org/abs/2106.12801 | arXiv: 2106.12801]] to appear in Kinetic and Related Models 
 +  * // Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases,// Guillin, A. & Le Bris, P. & Monmarché, P. [[http://arxiv.org/abs/2105.09070 | arXiv: 2105.09070]] 
 +  * // Special modes and hypocoercivity for linear kinetic equations with several conservation laws and a confining potential.//Carrapatoso, K. & Dolbeault, J. & Hérau, F. & Mischler, S. & Mouhot, C. & Schmeiser, C.[[https://hal.archives-ouvertes.fr/hal-03222748 | hal-03222748]] 
 +  * // Discrete sticky couplings of functional autoregressive processes.// Durmus, A. & Eberle, A. & Enfroy, A. & Guillin, A. & Monmarché, P. [[http://arxiv.org/abs/2104.06771 | arXiv: 2104.06771]] 
 +  * // The Cauchy problem for the fast p−Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour.// Bonforte, M. & Simonov, N. &. & Stan, D. [[http://arxiv.org/abs/2103.03312 | arXiv: 2103.03312]] [[https://hal.archives-ouvertes.fr/hal-03160022 | hal-03160022]] 
 +  * //The Adaptive Biasing Force algorithm with non-conservative forces and related topics.// Lelièvre, T. & Maurin, L. & Monmarché, P. [[https://hal.archives-ouvertes.fr/hal-03148328 | hal-03148328]] [[http://arxiv.org/abs/2102.09957 | arXiv: 2102.09957]] 
 +  * //Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation.// Carles, R. & Carrapatoso, K. & Hillairet, M. [[https://hal.archives-ouvertes.fr/hal-03142668 | hal-03142668]] [[http://arxiv.org/abs/2102.08640 | arXiv: 2102.08640]] [[https://doi.org/10.1090/qam/1618 | doi:10.1090/qam/1618]] Quarterly of Applied Mathematics, American Mathematical Society, 2022 
 +  * //Finite-Volume approximation of the invariant measure of a viscous stochastic scalar conservation law.// Boyaval, S. & Martel, S. & Reygner, J. [[https://hal.archives-ouvertes.fr/hal-02291253v2 | hal-02291253v2]] [[http://arxiv.org/abs/1909.08899 | arXiv: 1909.08899]] 
 +  * // Functional inequalities for perturbed measures with applications to log-concave measures and to some Bayesian problems.// Cattiaux, P. & Guillin, A. [[https://hal.archives-ouvertes.fr/hal-03120626 | hal-03120626]] To appear in Bernoulli. 
 +  * // L'entropie, de Clausius aux inégalités fonctionnelles.// Gentil, I.  [[https://hal.archives-ouvertes.fr/hal-02464182| hal-02464182]] La Gazette des mathématiciens 168 (avril 2021). 
 +  * //  A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality.// Fathi, M.,  Nonlinear Anal. 210 (2021), Paper No. 112403, 3 pp. 
 +  * //Higher-order Stein kernels for Gaussian approximation.// Fathi, M.[[https://arxiv.org/abs/1812.02703 |arXiv: 1812.02703]],  Studia Math. 256 (2021), no. 3, 241–258. 
 +  * //Bounds on optimal transport maps onto log-concave measures.// Colombo, M. & Fathi, M.[[https://arxiv.org/abs/1910.09035 |arXiv: 1910.09035]],   J. Differential Equations 271 (2021), 1007–1022. 
 +  * //Bounds in L1 Wasserstein distance on the normal approximation of general M-estimators .// Bachoc, F. & Fathi, M.[[https://arxiv.org/abs/2111.09721 |arXiv: 2111.09721]],  
 + 
 +** 2020 **  
 +  * // Quasi-stationary distribution for strongly Feller Markov processes by Lyapunov functions and applications to hypoelliptic Hamiltonian systems,//  Guillin, A. & Nectoux, B. & Wu, L. [[https://hal.archives-ouvertes.fr/hal-03068461 | hal-03068461]] 
 +  * // Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels.// Fathi, M. & Mikulincer, D. [[http://arxiv.org/abs/2010.14178   | arXiv: 2010.14178]], Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2022, pp.1417-1445.[[https://doi.org/10.2422/2036-2145.202011_016 | doi: 10.2422/2036-2145.202011_016]] 
 +  * //Relaxing the Gaussian assumption in Shrinkage and SURE in high dimension .// Fathi, M. & Goldstein, L. & Reinert, G. & Saumard, A. [[https://arxiv.org/abs/2004.01378 | arxiv: 2004.01378]] [[https://doi.org/10.1214/22-AOS2208 | doi: 10.1214/22-AOS2208]] The Annals of Statistics, 2022, 50 (5) 
 +  * //Sobolev's inequality under a curvature-dimension condition.// Dupaigne, L. & Gentil, I. & Zugmeyer, S. [[https://hal.archives-ouvertes.fr/hal-03006155 | hal-03006155]] [[https://arxiv.org/abs/2011.07840 | arxiv: 2011.07840]]  
 +  * //L'entropie, de Clausius aux inégalités fonctionnelles.// Gentil, I. [[https://hal.archives-ouvertes.fr/hal-02464182 | hal-02464182]] 
 +  * //A probabilistic study of the kinetic Fokker-Planck equation in cylindrical domains.// Lelièvre, T. & Ramil, M. & Reygner, J. [[https://hal.archives-ouvertes.fr/hal-02974421 | hal-02974421]] [[https://arxiv.org/abs/2010.10157 | arxiv: 2010.10157]] [[https://doi.org/10.1007/s00028-022-00796-5 | doi: 10.1007/s00028-022-00796-5]] Journal of Evolution Equations, 22: 38, 2022 
 +  * //Fluid dynamic limit of Boltzmann equation for granular hard-spheres in a nearly elastic regime.// Alonso, R. Lods, B. & Tristani, I. [[https://hal.archives-ouvertes.fr/hal-02922416 | hal-02922416]] [[https://arxiv.org/abs/2008.05173 | arxiv: 2008.05173]] 
 +  * //Exact targeting of Gibbs distributions using velocity-jump processes.// Monmarché, P. & Rousset, M. & Zitt, P.-A. [[https://hal.archives-ouvertes.fr/hal-02916073 | hal-02916073]] [[https://arxiv.org/abs/2008.09360 | arxiv: 2008.09360]] [[https://doi.org/10.1007/s40072-022-00247-9 | doi: 10.1007/s40072-022-00247-9]] Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2022 
 +  * //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]] [[https://arxiv.org/abs/2007.09941 | arxiv: 2007.09941]] 
 +  * //Body-attitude alignment: first order phase transition, link with rodlike polymers through quaternions, and stability.// Frouvelle, A. [[https://hal.archives-ouvertes.fr/hal-03027574 | hal-03027574]] [[https://arxiv.org/abs/2011.14891 | arxiv: 2011.14891]] 
 +  * // Sharpening of decay rates in Fourier based hypocoercivity methods.//Arnold, A. & Dolbeault, J. & Schmeiser, C. & Wöhrer, T. [[https://hal.archives-ouvertes.fr/hal-03078698 | hal-03078698]] [[[https://arxiv.org/abs/2012.09103 | arxiv: 2012.09103]] [https://doi.org/10.1007/978-3-030-82946-9_1|Doi: 10.1007/978-3-030-82946-9_1]] In F. Salvarani, editor, Recent Advances in Kinetic Equations and Applications, pages 1-50. Springer International Publishing, INdAM Series 48, 2021. 
 +  * // Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators.//Carrapatoso, K. & Dolbeault, J. & Hérau, F. & Mischler, S. & Mouhot, C. [[https://hal.archives-ouvertes.fr/hal-03059166 | hal-03059166]] [[https://arxiv.org/abs/2012.06347 | arxiv: 2012.06347]] [[https://doi.org/10.1007/s00205-021-01741-5|Doi: 10.1007/s00205-021-01741-5]] Archive for Rational Mechanics and Analysis, jan 2022. 
 +  * // Critical magnetic field for 2d magnetic Dirac-Coulomb operators and Hardy inequalities.// Dolbeault, J. & Esteban, M.J. & Loss, M. [[https://hal.archives-ouvertes.fr/hal-02984354 | hal-02984354]] [[https://arxiv.org/abs/2011.00039 | arxiv: 2011.00039]] [[https://doi.org/10.4171/ECR/18-1/4|Doi: 10.4171/ECR/18-1/4]] Volume 18: Partial Differential Equations, Spectral Theory, and Mathematical Physics, The Ari Laptev Anniversary Volume, EMS Series of Congress Reports, 2021. 
 +  * // Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method.// Bonforte, M. & Dolbeault, J. & Nazaret, B. & Simonov, N. [[https://hal.archives-ouvertes.fr/hal-02887010 | hal-02887010]] [[http://arxiv.org/abs/2007.03674 | arxiv: 2007.03674]] 
 +  * // Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation (supplementary material for: Stability in Gagliardo-Nirenberg inequalities)// Bonforte, M. & Dolbeault, J. & Nazaret, B. & Simonov, N. [[https://hal.archives-ouvertes.fr/hal-02887013 | hal-02887013]] [[http://arxiv.org/abs/2007.03419 | arxiv: 2007.03419]] 
 +  * // Fine properties of solutions to the Cauchy problem for a Fast Diffusion Equation with Caffarelli-Kohn-Nirenberg weights.// Bonforte, M. & Simonov, N. [[https://arxiv.org/abs/2002.09967 | arXiv: 2002.09967]] 
 +  * // 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]] 
 +  * // 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]] [[https://dx.doi.org/10.1051/mmnp/2020025 | doi: 10.1051/mmnp/2020025]] Mathematical Modelling of Natural Phenomena, EDP Sciences, 2020, Coronavirus: Scientific insights and societal aspects, 15 (36), pp.1-18.  
 +  * //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 | medrxiv doi: 10.1101/2020.05.15.20103010]] [[https://doi.org/10.1515/cmb-2020-0115 |Doi: 10.1515/cmb-2020-0115]] Computational and Mathematical Biophysics, 9:1 4-21, 2021. 
 +  * // 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]] [[https://doi.org/10.1016/j.matpur.2022.07.003 | doi: 10.1016/j.matpur.2022.07.003]] Journal de Mathématiques Pures et Appliquées, Elsevier, 2022, 166, pp.1-29 
 +  * // 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]] 
 +  * // Existence and stability of infinite time blow-up in the Keller-Segel system.// 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]] 
 +  * //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]],  ALEA Lat. Am. J. Probab. Math. Stat. 17 (2020), no. 1, 445–471. 
 +  * //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]],  Calc. Var. Partial Differential Equations 59 (2020), no. 3, Paper No. 96, 18 pp. 
 +  * //A note on existence of free Stein kernels.// Cébron, G., Fathi, M. & Mai, T. [[https://arxiv.org/abs/1811.02926 |arXiv: 1811.02926]],  Proc. Amer. Math. Soc. 148 (2020), no. 4, 1583–1594. 
 +  * //Stability of the Bakry-Emery theorem.// Courtade, T.A. & Fathi, M. [[https://arxiv.org/abs/1807.09845|arXiv: 1807.09845]],  J. Funct. Anal. 279 (2020), no. 2, 108523, 28 pp. 
 + 
 +** 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]], to appear in Journal de Mathématiques Pures et Appliquées 
 +  * //Uniform Poincaré, and logarithmic Sobolev inequalities for mean field models.// A. Guillin, B. Liu, L. Wu, C. Zhang. [[https://hal.uca.fr/hal-02287711| hal-02287711]] 
 +  * //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]] [[https://dx.doi.org/10.5802/crmath.46 | 10.5802/crmath.46]] Comptes Rendus Mathématique, Elsevier Masson, 2020, 358 (3), pp. 333-340. 
 +  * //Fractional Hypocoercivity.// Bouin, E. & Dolbeault, J. & Lafleche, L. [[https://hal.archives-ouvertes.fr/hal-02377205 | hal-02377205]] [[https://arxiv.org/abs/1911.11020 | arXiv: 1911.11020]] [[https://doi.org/10.1007/s00220-021-04296-4|10.1007/s00220-021-04296-4]] Communications in Mathematical Physics 
 +  * //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]] [[https://doi.org/10.1007/s00605-020-01483-8 | doi: 10.1007/s00605-020-01483-8]] Monatshefte für Mathematik 194, 41–65 (2021).  
 +  * //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]] [[https://doi.org/10.1007/s10955-021-02784-4|Doi: 10.1007/s10955-021-02784-4]] Journal of Statistical Physics, 184 (1), jun 2021. 
 +  * //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 
 +  * //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://doi.org/10.1093/imrn/rnz324 |doi: 10.1093/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]] 
 +  * //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]], [[https://doi.org/10.1137/19M1296859 | doi: 10.1137/19M1296859]], SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2021, 53 (1), pp.181-220. 
 +  * //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]] [[https://dx.doi.org/10.1007/s00030-020-00637-9 | doi: 10.1007/s00030-020-00637-9]] Nonlinear Differential Equations and Applications, Springer Verlag, 2020, 27, p. 34. 
 +  * //Phase transitions and macroscopic limits in a BGK model of body-attitude coordination.// Degond, P. & Diez, A. & Frouvelle, A. & Merino Aceituno, S. [[https://hal.archives-ouvertes.fr/hal-02126060 | Hal:02126060]] [[https://arxiv.org/abs/1905.04885 |arXiv: 1905.04885]] [[https://doi.org/10.1007/s00332-020-09632-x | doi: 10.1007/s00332-020-09632-x]], Journal of Nonlinear Science, Springer Verlag, 2020, 30, pp.2671-2736. 
 +  * //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]] To appear in Journal of Mathematical Biology. 
 +  * //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 
 +  * //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]] [[https://dx.doi.org/10.1142/S0129055X21500069 | doi: 10.1142/S0129055X21500069]] Reviews in Mathematical Physics, 33 
 +  * //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]] 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 |arXiv: 1901.08323]] [[https://doi.org/10.3934/krm.2020012 |doi: 10.3934/krm.2020012]] Kinetic and Related Models, AIMS, 13 (2), pp. 345-371. 
 +  * //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 
 +  * //A family of Beckner inequalities under various curvature-dimension conditions.// Gentil, I. & Zugmeyer, S. [[http://hal.archives-ouvertes.fr/hal-02052691 |Hal: 02052691]]  
 + 
 + ** 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]] Communications in Mathematical Physics 381, 1 (jan 2021), 143-173. 
 +  * //Anomalous diffusion for multi-dimensional critical Kinetic Fokker-Planck equations.// Fournier, N. & Tardif, C. [[http://arxiv.org/abs/1812.06806 |arXiv 1812.06806]] Ann. Probab., 48 5): 2359-2403, 2020. 
 +  * //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]] 
 +  * //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]] [[https://doi.org/https://doi.org/10.1016/j.spa.2019.04.002 | doi: 10.1016/j.spa.2019.04.002]], Stochastic Processes and their Applications, Elsevier, 2020, 130 (2), pp.907-923. 
 +  * //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]] [[https://doi.org/10.4171/rmi/1159 | doi: 10.4171/rmi/1159]], Revista Matemática Iberoamericana, European Mathematical Society, 2020, 36 (4), pp.1071-1112. 
 +  * //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]] [[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]] [[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 Wright–Fisher 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]] [[https://doi.org/10.1142/S1793524520500461 | doi: https://doi.org/10.1142/S1793524520500461]] International Journal of Biomathematics, World Scientific, 2020, 13 (6)
   * //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]] 
-  * //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]]
   * //Central Limit Theorem for stationary Fleming–Viot particle systems in finite spaces.// Lelièvre, T.& Pillaud-Vivien, L. & Reygner, J. [[https://dx.doi.org/10.30757/ALEA.v15-43 | Doi: 10.30757/ALEA.v15-43]] [[https://arxiv.org/abs/1806.04490 | arXiv: 1806.04490]], ALEA Latin American Journal of Probability and Mathematical Statistics, 15: 1163-1182, 2018.   * //Central Limit Theorem for stationary Fleming–Viot particle systems in finite spaces.// Lelièvre, T.& Pillaud-Vivien, L. & Reygner, J. [[https://dx.doi.org/10.30757/ALEA.v15-43 | Doi: 10.30757/ALEA.v15-43]] [[https://arxiv.org/abs/1806.04490 | arXiv: 1806.04490]], ALEA Latin American Journal of Probability and Mathematical Statistics, 15: 1163-1182, 2018.
-  * //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]] [[https://doi.org/10.1214/19-AAP1552 | doi: 10.1214/19-AAP1552]] The Annals of Applied Probability 2020, Vol. 30, No. 5, 2069–2098
   * //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]] +  * //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]][[https://doi.org/10.1090/proc/14612  | doi: 10.1090/proc/14612]] Proc. Amer. Math. Soc. 148 (2020), 5387-5398. 
-  * //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]] 
-  * //New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality.// D. Cordero, F. Bolley, Y. Fujita, I. Gentil, A. Guillin [[http:///hal.archives-ouvertes.fr/hal-01464530 |Hal: 01464530]] +  * //New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality.// D. Cordero, F. Bolley, Y. Fujita, I. Gentil, A. Guillin [[http://hal.archives-ouvertes.fr/hal-01464530 |Hal: 01464530]] [[https://doi.org/10.1093/imrn/rny111 | doi: 10.1093/imrn/rny111]] International Mathematical Research Notices, Oxford University Press, 10, 2020, pp. 3042-3083. 
-  * //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]] +  * //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 
-  * //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: 1803.07837]] [[https://dx.doi.org/10.5802/ahl.2 | Doi: 10.5802/ahl.2]] 
-  |arXiv: 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]] 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]] +  * //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.
 +  * //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 **
-  * //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]]+  * //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]] [[https://doi.org/10.1016/j.jfa.2019.108288 | doi: 10.1016/j.jfa.2019.108288]] Journal of Functional Analysis, Elsevier, 2019, 277 (11).
   * //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]]+  * //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]] [[https://dx.doi.org/10.1007/s00220-020-03682-8 |10.1007/s00220-020-03682-8]] Communications in Mathematical Physics, Springer Verlag, 2020, 377 (1), pp.697-771.
   * //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]] [[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://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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  • Dernière modification : 2018/11/29 11:53
  • de Arnaud GUILLIN