Preprints

Growth estimates on optimal transport maps via concentration inequalities. Arxiv:2407.11951.
Stability of the Poincare-Korn inequality, joint with Thomas Courtade. Arxiv:2405.01441.
Stability of Klartag's improved Lichnerowicz inequality, joint with Thomas Courtade. Arxiv:2404.12277.
Some obstructions to contraction theorems on the half-sphere, joint with Matthieu Fradelizi, Nathael Gozlan and Simon Zugmeyer. Arxiv:2402.04649.

Publications

Stochastic proof of the sharp symmetrized Talagrand inequality , joint with Thomas Courtade and Dan Mikulincer. Arxiv:2407.09465. C. R., Math., Acad. Sci. Paris 362, 1779-1784 (2024).
Stability estimates for the sharp spectral gap bound under a curvature-dimension condition , joint with Ivan Gentil and Jordan Serres. Arxiv:2202.03769. Ann. Inst. Fourier 74, No. 6, 2425-2459 (2024).
HWI inequalities in discrete spaces via couplings, joint with Thomas Courtade. Arxiv:2312.01368. Electron. Commun. Probab. 29, Paper No. 29, 10 p. (2024). .
Transportation onto log-Lipschitz perturbations, joint with Dan Mikulincer and Yair Shenfeld. Arxiv:2305.03786. Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 61, 25 p. (2024).
Bounds in L1 Wasserstein distance on the normal approximation of general M-estimators , joint with Francois Bachoc. Arxiv:2111.09721. Electron. J. Stat. 17, No. 1, 1457-1491 (2023).
Stability of eigenvalues and observable diameter in RCD(1,\infty) spaces , joint with Jerome Bertrand. Arxiv:2107.05324. J. Geom. Anal. 32 (2022), no. 11, Paper No. 270
Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels, joint with Dan Mikulincer. Arxiv:2010.14178. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 3, 1417-1445.
Relaxing the Gaussian assumption in Shrinkage and SURE in high dimension, joint with Larry Goldstein, Gesine Reinert and Adrien Saumard. 2004.01378. Ann. Statist. 50 (2022), no. 5, 2737-2766.
Self-improvement of the Bakry-Emery criterion for Poincare inequalities and Wasserstein contraction using variable curvature bounds, joint with Patrick Cattiaux and Arnaud Guillin. Arxiv:2002.09221. J. Math. Pures Appl. (9) 166 (2022).
Hypocoercivity with Schur complements , joint with Etienne Bernard, Antoine Levitt and Gabriel Stoltz. Arxiv:2003.00726. Ann. H. Lebesgue 5 (2022), 523-557.
A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality. Nonlinear Anal. 210 (2021), Paper No. 112403, 3 pp.
Bounds on optimal transport maps onto log-concave measures, joint with Maria Colombo. Arxiv:1910.09035, J. Differential Equations 271 (2021), 1007-1022.
Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces , joint with Matthias Erbar and Andre Schlichting, ALEA Lat. Am. J. Probab. Math. Stat. 17 (2020), no. 1, 445-471. Arxiv:1908.03397.
A proof of the Caffarelli contraction theorem via entropic regularization, joint with Nathael Gozlan and Maxime Prod'homme, Calc. Var. Partial Differential Equations 59 (2020), no. 3, Paper No. 96, 18 pp. Arxiv:1904.06053.
Higher-order Stein kernels for Gaussian approximation, Arxiv:1812.02703, Studia Math. 256 (2021), no. 3, 241-258.
A note on existence of free Stein kernels, joint with Guillaume Cebron and Tobias Mai, Proc. Amer. Math. Soc. 148 (2020), no. 4, 1583-1594. Arxiv:1811.02926.
Stability of the Bakry-Emery theorem on R^n, joint with Thomas Courtade. Arxiv:1807.09845, J. Funct. Anal. 279 (2020), no. 2, 108523, 28 pp.
A sharp symmetrized form of Talagrand's transport-entropy inequality for the Gaussian measure. Arxiv 1806.06389, Electronic Communications in Probability, Volume 23 (2018), paper no. 81.
Stein kernels and moment maps. Arxiv:1804.04699, Annals of Probability, Vol. 47, No. 4, 2172-2185, 2019.
Existence of Stein Kernels under a Spectral Gap, and Discrepancy Bounds , joint with Thomas Courtade and Ashwin Pananjady. arXiv:1703.07707, Annales de l'IHP: Probabilites et Statistiques, Volume 55, Number 2, 2019. .
Wasserstein stability of the entropy power inequality for log-concave densities , joint with Thomas Courtade and Ashwin Pananjady. arXiv:1610.07969, IEEE Transactions on Information Theory, vol. 64, no. 8, pp. 5691-5703, August 2018..
Poincare, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature. , joint with Matthias Erbar. arXiv:1612.00514, Journal of Functional Analysis 274 (2018), no. 11, 3056-3089.
Free Stein kernels and an improvement of the free logarithmic Sobolev inequality , joint with Brent Nelson, Advances in Mathematics 317 (2017) pp. 193-223. arXiv:1605.05828.
Curvature and transport inequalities for Markov chains in discrete spaces, joint with Yan Shu, Bernoulli 24(1), 2018, 672-698. arXiv:1509.07160.
Improving dynamical properties of stabilized discretizations of overdamped Langevin dynamics, joint with Gabriel Stoltz, Numer. Math. 136 (2017), no. 2, 545-602.. arXiv:1505.04905.
The gradient flow approach to hydrodynamic limits for the simple exclusion process, joint with Marielle Simon, Particle Systems and Partial Differential Equations III, ed. A. J. Soares and P. Goncalves, Springer Proceedings in Mathematics & Statistics. arXiv:1507.06489.
Gradient flow structure for McKean-Vlasov equations on discrete spaces , joint with Matthias Erbar, Vaios Laschos and Andre Schlichting, Discrete Contin. Dyn. Syst. 36 (2016), no. 12, 6799-6833.. arXiv:1601.08098.
Quantitative logarithmic Sobolev inequalities and stability estimates, joint with Emanuel Indrei and Michel Ledoux, Discrete Contin. Dyn. Syst. 36 (2016), no. 12, 6835-6853. . arXiv:1410.6922.
A gradient flow approach to large deviations for diffusion processes, J. Math. Pures Appl. (9) 106 (2016) , no. 5, 957-993. . arXiv:1405.3910.
Entropic Ricci curvature bounds for discrete interacting systems, joint with Jan Maas, Ann. Appl. Probab. 26 (2016), no. 3, 1774-1806. arXiv:1501.00562
The two-scale approach to hydrodynamic limits for nonreversible dynamics, joint with Manh Hong Duong, Markov Processes and Related Fields, Volume 22, Issue 1, 1-36, 2016.. arXiv:1404.1971.
Modified logarithmic Sobolev inequalities for canonical ensembles, ESAIM: Probability and Statistics, Vol. 19, p.544-559, 2015 arXiv:1306.1484.
Error analysis of the transport properties of Metropolized schemes, joint with Ahmed-Amine Hommann and Gabriel Stoltz. arXiv:1402.6537 Proceeding of the 2013 CEMRACS summer school, ESAIM: Proceedings and Surveys, vol. 48, p.341-363, 2015.
Transport-entropy inequalities and deviation estimates for stochastic approximation schemes, joint with Noufel Frikha In Electronic Journal of Probability, Vol. 18, 2013. Journal version
A two-scale approach to the hydrodynamic limit Part II: local Gibbs behavior . In ALEA, Vol. X, n.2, p.625-651, 2013. Journal version

Unpublished works

Hydrodynamic limit for conservative spin systems with super-quadratic, partially inhomogeneous single-site potential, joint with Georg Menz. arXiv:1405.3327.