papers
Publications (20)
math.PR2015
The gradient flow approach to hydrodynamic limits for the simple exclusion process
Max Fathi, Marielle Simon
math.FA2018
Stability of the Bakry-Emery theorem on $\mathbb{R}^n$
Thomas A. Courtade, Max Fathi
math.PR2016
Gradient flow structure for McKean-Vlasov equations on discrete spaces
Matthias Erbar, Max Fathi, Vaios Laschos +1
math.PR2014
Modified logarithmic Sobolev inequalities for canonical ensembles
Max Fathi
math.PR2014
Quantitative logarithmic Sobolev inequalities and stability estimates
Max Fathi, Emanuel Indrei, Michel Ledoux
math.PR2014
A gradient flow approach to large deviations for diffusion processes
Max Fathi
math.PR2019
A proof of the Caffarelli contraction theorem via entropic regularization
Max Fathi, Nathael Gozlan, Maxime Prodhomme
math.OA2016
Free Stein kernels and an improvement of the free logarithmic Sobolev inequality
Max Fathi, Brent Nelson
math.AP2015
The two-scale approach to hydrodynamic limits for non-reversible dynamics
Manh Hong Duong, Max Fathi
math.PR2013
A two-scale approach to the hydrodynamic limit, part II: local Gibbs behavior
Max Fathi
math.PR2015
Curvature and transport inequalities for Markov chains in discrete spaces
Max Fathi, Yan Shu
math.PR2014
Hydrodynamic limit for conservative spin systems with super-quadratic, partially inhomogeneous single-site potential
Max Fathi, Georg Menz
math.PR2018
Existence of Stein Kernels under a Spectral Gap, and Discrepancy Bound
Thomas A. Courtade, Max Fathi, Ashwin Pananjady
cs.IT2016
Wasserstein Stability of the Entropy Power Inequality for Log-Concave Densities
Thomas A. Courtade, Max Fathi, Ashwin Pananjady
math.PR2013
Transport-entropy inequalities and deviation estimates for stochastic approximation schemes
Max Fathi, Noufel Frikha
math.OA2018
A note on existence of free Stein kernels
Guillaume Cébron, Max Fathi, Tobias Mai
math.PR2018
Higher-order Stein kernels for Gaussian approximation
Max Fathi
math.PR2018
A sharp symmetrized form of Talagrand's transport-entropy inequality for the Gaussian measure
Max Fathi
math.PR2016
Entropic Ricci curvature bounds for discrete interacting systems
Max Fathi, Jan Maas
math.PR2016
Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature
Matthias Erbar, Max Fathi