{"id":48,"date":"2012-04-16T11:45:03","date_gmt":"2012-04-16T10:45:03","guid":{"rendered":"http:\/\/pageperso.math.univ-toulouse.fr\/reference\/?page_id=48"},"modified":"2023-09-26T18:57:13","modified_gmt":"2023-09-26T17:57:13","slug":"publications","status":"publish","type":"page","link":"https:\/\/perso.math.univ-toulouse.fr\/anr-mesa\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"

2023
\n<\/span><\/strong>-M. Bonnefont et A. Joulin. A note on the spectral gap for log-concave probability measures on convex bodies. Arxiv 2302.05207<\/a>.
\n-L. Coutin and L. Peralta, Rates of convergence for the number of zeros of random trigonometric polynomial, Bernoulli 29 (2023), no. 3, 1983\u20132007.
\n-M. Fathi, D. Mikulincer and Y. Shenfeld, Transportation onto log-Lipschitz perturbations. https:\/\/arxiv.org\/pdf\/2305.03786.pdf<\/a><\/p>\n

2022
\n-I. Baraquin, G. C\u00e9bron, U. Franz, L. Maa\u00dfen and M. Weber,\u00a0 De Finetti Theorems for the unitary dual group\u00a0 SIGMA, Vol.18 (No.67), 2022
\n-J. Bertrand and M. Fathi, Stability of eigenvalues and observable diameter in RCD(1,\\infty) spaces. Arxiv:2107.05324.<\/a> J. Geom. Anal. 32 (2022), no. 11, Paper No. 270
\n– M. Bonnefont et A. Joulin. A note on eigenvalues estimates for one-dimensional diffusion operators<\/a>. Bernoulli 28 (2022), 64-86.
\n– <\/i>G. C\u00e9bron and N. Gilliers, Asymptotic cyclic-conditional freeness of random matrices, arXiv:2207.06249, 2022.
\n<\/i>-G. C\u00e9bron, A. Dahlqvist and F. Gabriel, Freeness of type B and conditional freeness for random matrices, arXiv:2205.01926, 2022.
\n-M. Fathi, I. Gentil and J. Serres, Stability estimates for the sharp spectral gap bound under a curvature-dimension condition. To appear, Annales de l’Institut Fourier. https:\/\/arxiv.org\/abs\/2202.03769<\/a>
\n-M. Fathi and D. Mikulincer, Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels. Arxiv:2010.14178.<\/a> Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 3, 1417-1445.
\n-J. Serres, Stability of higher order eigenvalues in dimension one.<\/span> Stochastic Process. Appl.<\/em> 155 (2023),<\/a> 459\u2013484.<\/p>\n

2021<\/strong><\/span>
\n-O. Arizmendi, G. C\u00e9bron, R. Speicher and S. Yin Universality of free random variables: atoms for non-commutative rational functions arXiv:2107.11507, 2021<\/i>
\n-F. Bachoc and M. Fathi, Bounds in L1 Wasserstein distance on the normal approximation of general M-estimators. To appear, Elect. J. Stat.
\n-E. Besan\u00e7on, L. Coutin, L. Decreusefond and P. Moyal. Diffusive limits of Lipschitz functionals of Poisson measures. To appear, Annals of Applied Probability https:\/\/arxiv.org\/abs\/2107.05339<\/a>
\n-M. Bonnefont et A. Joulin. Intertwinings, second-order Brascamp-Lieb inequalities and spectral estimates<\/a>. Studia Mathematica 260 (2021), 285-316.
\n-M. Fathi, A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality. Nonlinear Anal. 210 (2021), Paper No. 112403.
\n-J. Serres, Stability of Poincar\u00e9 constant.\u00a0 Bernoulli<\/em> 29 (2023), no. 2, 1297\u20131320.<\/p>\n

2020<\/strong><\/span>
\n– S. Belinschi, C. Bordenave, M. Capitaine, G C\u00e9bron, Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d. matrices and deterministic matrices.\u00a0Electronic Journal of Probability 2021, Vol. 26, paper no. 100, 1-37.<\/i> Arxiv:1906.10674. <\/a>
\n– E. Bernard, M. Fathi, A. Levitt and G. Stoltz, Hypocoercivity with Schur complements. Ann. Henri Lebesgue 5, 523-557 (2022). https:\/\/arxiv.org\/abs\/2003.00726<\/a>
\n– P. Cattiaux, M. Fathi and A. Guillin, Self-improvement of the Bakry-Emery criterion for Poincare inequalities and Wasserstein contraction using variable curvature bounds. J. Math. Pures Appl. (9) 166, 1-29 (2022) Arxiv:2002.09221.
\n<\/a>– F. Chapon, E. Fusy and K. Raschel, Polyharmonic functions and random processes in cones. LIPIcs \u2013 Leibniz Int. Proc. Inform. 159, Article 9, 19 p. (2020). \u00a0https:\/\/arxiv.org\/abs\/2001.07149
\n<\/a>– B. Cloez and P. Gabriel, On an irreducibility type condition for the ergodicity of nonconservative semigorups, Comptes Rendus Math\u00e9matique, Tome 358 (2020) no. 6, pp. 733-742.
\n– T. Daouda, R. Chhaibi, P. Tossou, A. Villani, Geodesics in fibered latent spaces: A geometric approach to learning correspondences between conditions. https:\/\/arxiv.org\/abs\/2005.07852<\/a>
\n<\/span>– M. Fathi, L. Goldstein, G. Reinert and A. Saumard, Relaxing the Gaussian assumption in Shrinkage and SURE in high dimension, Ann. Stat. 50, No. 5, 2737-2766 (2022). Arxiv 2004.01378.
\n<\/a>– C. Steiner,\u00a0A Feynman-Kac approach for Logarithmic Sobolev Inequalities.\u00a0Electron. J. Probab. 26, Paper No. 93, 19 p. (2021). https:\/\/arxiv.org\/abs\/2002.01167<\/a><\/p>\n

2019<\/strong><\/span>
\n<\/span><\/strong>– F. Chapon and R. Chhaibi, Quantum \\(SL_2\\), Infinite curvature and Pitman’s 2M-X theorem. Probab. Theory Relat. Fields 179, No. 3-4, 835-888 (2021). https:\/\/arxiv.org\/abs\/1904.00894
\n<\/a>– R. Chhaibi and J. Najnudel, On the circle, \\( GMC^\\gamma = \\lim_{n \\rightarrow \\infty} C \\beta E_n \\) for \\( \\gamma = \\sqrt{\\frac{2}{\\beta}} (\\gamma \\leq 1) \\) . In revisions at Journal of the European Mathematical Society https:\/\/arxiv.org\/abs\/1904.00578<\/a>
\n– V. Bansaye, B. Cloez,\u00a0P. Gabriel and A. Marguet.<\/span>\u00a0A Non-Conservative Harris’ Ergodic Theorem. J. <\/a>Lond. Math. Soc., II. Ser. 106, No. 3, 2459-2510 (2022).
\n– M. Colombo and M. Fathi, Bounds on optimal transport maps onto log-concave measures, J. Differ. Equations 271, 1007-1022 (2021). \u00a0<\/a> Arxiv:1910.09035. <\/a>
\n– L. Coutin and L. Decreusefond, Donsker’s theorem in Wasserstein-1 distance. Electron. Commun. Probab. 25, Paper No. 27, 13 p. (2020). \u00a0 https:\/\/arxiv.org\/abs\/1904.07045<\/a>
\n– M. Erbar, M. Fathi and A. Schlichting, Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces.\u00a0ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 445-471 (2020). https:\/\/arxiv.org\/abs\/1908.03397<\/a>
\n– M. Fathi, N. Gozlan and M. Prod’homme, A proof of the Caffarelli contraction theorem via entropic regularization. Calc. Var. Partial Differ. Equ. 59, No. 3, Paper No. 96, 18 p. (2020). https:\/\/arxiv.org\/abs\/1904.06053<\/a><\/p>\n

2018
\n<\/strong><\/span>– M. Banna and G. C\u00e9bron, Operator-Valued Matrices with Free or Exchangeable Entries. Annales de l’IHP Probabilit\u00e9s et statistiques, Vol.59 (No.1), 503\u2013537, 2023.<\/i>https:\/\/arxiv.org\/abs\/1811.05373<\/a>
\n<\/span>– C. Bernardin, R. Chetrite, R. Chhaibi, J. Najnudel and C. Pellegrini, Spiking and collapsing in large noise limits of SDE’s. Ann. Appl. Probab. 33, No. 1, 417-446 (2023). https:\/\/arxiv.org\/abs\/1810.05629<\/a>
\n– G. C\u00e9bron, M. Fathi and T. Mai, A note on existence of free Stein kernels.\u00a0Proc. Am. Math. Soc. 148, No. 4, 1583-1594 (2020). arXiv:1811.02926<\/a>.
\n– T.A. Courtade and M. Fathi, Stability of the Bakry-Emery theorem on \\( \\mathbb{R}^n \\). Journal of Functional Analysis. 279, No. 2, Article ID 108523, 28 p. (2020). \u00a0https:\/\/arxiv.org\/abs\/1807.09845<\/a>
\n– L. Coutin and L. Decreusefond. Stein’s method for rough paths. Potential Anal. 53, No. 2, 387-406 (2020).
\n– M. Fathi, Higher-order Stein kernels for Gaussian approximation. Studia Mathematica, 256, No. 3, 241-258 (2021). \u00a0 https:\/\/arxiv.org\/abs\/1812.02703<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

2023 -M. Bonnefont et A. Joulin. A note on the spectral gap for log-concave probability measures on convex bodies. Arxiv 2302.05207. -L. Coutin and L. Peralta, Rates of convergence for the number of zeros of random trigonometric polynomial, Bernoulli 29 (2023), no. 3, 1983\u20132007. -M. Fathi, D. Mikulincer and Y. Shenfeld, Transportation onto log-Lipschitz perturbations. […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-48","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/anr-mesa\/wp-json\/wp\/v2\/pages\/48","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/anr-mesa\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/anr-mesa\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/anr-mesa\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/anr-mesa\/wp-json\/wp\/v2\/comments?post=48"}],"version-history":[{"count":30,"href":"https:\/\/perso.math.univ-toulouse.fr\/anr-mesa\/wp-json\/wp\/v2\/pages\/48\/revisions"}],"predecessor-version":[{"id":215,"href":"https:\/\/perso.math.univ-toulouse.fr\/anr-mesa\/wp-json\/wp\/v2\/pages\/48\/revisions\/215"}],"wp:attachment":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/anr-mesa\/wp-json\/wp\/v2\/media?parent=48"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}