Publications

2020
- S. Belinschi, C. Bordenave, M. Capitaine, G Cébron, Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d. matrices and deterministic matrices. Arxiv:1906.10674.
– E. Bernard, M. Fathi, A. Levitt and G. Stoltz, Hypocoercivity with Schur complements. https://arxiv.org/abs/2003.00726
– P. Cattiaux, M. Fathi and A. Guillin, Self-improvement of the Bakry-Emery criterion for Poincare inequalities and Wasserstein contraction using variable curvature bounds. Arxiv:2002.09221.
- F. Chapon, E. Fusy and K. Raschel, Polyharmonic functions and random processes in cones. https://arxiv.org/abs/2001.07149
– 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
- M. Fathi, L. Goldstein, G. Reinert and A. Saumard, Relaxing the Gaussian assumption in Shrinkage and SURE in high dimension, Arxiv 2004.01378.
- C. Steiner, A Feynman-Kac approach for Logarithmic Sobolev Inequalities. https://arxiv.org/abs/2002.01167

2019
- M. Bonnefont and A. Joulin. A note on eigenvalues estimates for one-dimensional diffusion operators. ArXiv 1906.02496, 2019.
– M. Bonnefont and A. Joulin. Intertwinings, second-order Brascamp-Lieb inequalities and spectral estimates. ArXiv 1710.08106
– F. Chapon and R. Chhaibi, Quantum \(SL_2\), Infinite curvature and Pitman’s 2M-X theorem. Accepted in Probability Theory and Related Fields. https://arxiv.org/abs/1904.00894
- 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
V. Bansaye, B. Cloez, P. Gabriel and A. Marguet. A Non-Conservative Harris’ Ergodic Theorem. Hal preprint.
– M. Colombo and M. Fathi, Bounds on optimal transport maps onto log-concave measures, Journal of Differential Equations,   Arxiv:1910.09035.
– L. Coutin and L. Decreusefond, Donsker’s theorem in Wasserstein-1 distance. https://arxiv.org/abs/1904.07045
– M. Erbar, M. Fathi and A. Schlichting, Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces. ALEA https://arxiv.org/abs/1908.03397
– M. Fathi, N. Gozlan and M. Prod’homme, A proof of the Caffarelli contraction theorem via entropic regularization. Calculus of Variations and PDE https://arxiv.org/abs/1904.06053

2018
- M. Banna and G. Cébron, Operator-Valued Matrices with Free or Exchangeable Entries. https://arxiv.org/abs/1811.05373
- C. Bernardin, R. Chetrite, R. Chhaibi, J. Najnudel and C. Pellegrini, Spiking and collapsing in large noise limits of SDE’s. Submitted. https://arxiv.org/abs/1810.05629
– G. Cébron, M. Fathi and T. Mai, A note on existence of free Stein kernels.  arXiv:1811.02926, to appear in Proceedings of the AMS
– T.A. Courtade and M. Fathi, Stability of the Bakry-Emery theorem on \( \mathbb{R}^n \). Journal of Functional Analysis. https://arxiv.org/abs/1807.09845
– L. Coutin and L. Decreusefond. Stein’s method for rough paths. Potential Analysis, Springer Verlag, in Press.
– M. Fathi, Higher-order Stein kernels for Gaussian approximation. Studia Mathematica.  https://arxiv.org/abs/1812.02703