Publications
Preprints
Stability estimates for the sharp spectral gap bound under a curvature-dimension condition , joint with Ivan Gentil and Jordan Serres.
Arxiv:2202.03769.
Bounds in L1 Wasserstein distance on the normal approximation of general M-estimators , joint with Francois Bachoc.
Arxiv:2111.09721.
Stability of eigenvalues and observable diameter in RCD(1,\infty) spaces , joint with Jerome Bertrand.
Arxiv:2107.05324.
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. To appear, Ann. Scuola Norm. Sup. Pisa Cl. Sci.
Relaxing the Gaussian assumption in Shrinkage and SURE in high dimension, joint with Larry Goldstein ,
Gesine Reinert and Adrien Saumard .
2004.01378.
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.
Hypocoercivity with Schur complements , joint with Etienne Bernard, Antoine Levitt
and Gabriel Stoltz .
Arxiv:2003.00726. To appear, Ann. Henri Lebesgue.
Publications
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 .