Entropic Ricci curvature bounds for discrete interacting systems. Zbl 1345.60076
Fathi, Max; Maas, Jan |
|
2016
|
Existence of Stein kernels under a spectral gap, and discrepancy bounds. Zbl 1466.60006
Courtade, Thomas A.; Fathi, Max; Pananjady, Ashwin |
|
2019
|
Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094
Fathi, Max; Indrei, Emanuel; Ledoux, Michel |
|
2016
|
Curvature and transport inequalities for Markov chains in discrete spaces. Zbl 1396.60084
Fathi, Max; Shu, Yan |
|
2018
|
Stein kernels and moment maps. Zbl 1466.60044
Fathi, Max |
|
2019
|
Gradient flow structure for McKean-Vlasov equations on discrete spaces. Zbl 1353.60084
Erbar, Matthias; Fathi, Max; Laschos, Vaios; Schlichting, André |
|
2016
|
Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature. Zbl 1386.53020
Erbar, Matthias; Fathi, Max |
|
2018
|
A proof of the Caffarelli contraction theorem via entropic regularization. Zbl 1458.49038
Fathi, Max; Gozlan, Nathael; Prod’homme, Maxime |
|
2020
|
Free Stein kernels and an improvement of the free logarithmic Sobolev inequality. Zbl 1381.46058
Fathi, Max; Nelson, Brent |
|
2017
|
Stability of the Bakry-Émery theorem on \(\mathbb{R}^n\). Zbl 1437.35005
Courtade, Thomas A.; Fathi, Max |
|
2020
|
Higher-order Stein kernels for Gaussian approximation. Zbl 1468.60032
Fathi, Max |
|
2021
|
Error analysis of the transport properties of metropolized schemes. Zbl 1338.60207
Fathi, Max; Homman, Ahmed-Amine; Stoltz, Gabriel |
|
2015
|
Quantitative stability of the entropy power inequality. Zbl 1401.94070
Courtade, Thomas A.; Fathi, Max; Pananjady, Ashwin |
|
2018
|
A gradient flow approach to large deviations for diffusion processes. Zbl 1357.35006
Fathi, Max |
|
2016
|
The gradient flow approach to hydrodynamic limits for the simple exclusion process. Zbl 1349.35368
Fathi, Max; Simon, Marielle |
|
2016
|
Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces. Zbl 1441.82017
Erbar, Matthias; Fathi, Max; Schlichting, André |
|
2020
|
A two-scale approach to the hydrodynamic limit. II: Local Gibbs behavior. Zbl 1280.60058
Fathi, Max |
|
2013
|
Bounds on optimal transport maps onto log-concave measures. Zbl 1456.49036
Colombo, Maria; Fathi, Max |
|
2021
|
Transport-entropy inequalities and deviation estimates for stochastic approximation schemes. Zbl 1284.60137
Fathi, Max; Frikha, Noufel |
|
2013
|
Hypocoercivity with Schur complements.
(Hypocoercivité par compléments de Schur.) Zbl 1490.35494
Bernard, Étienne; Fathi, Max; Levitt, Antoine; Stoltz, Gabriel |
|
2022
|
Relaxing the Gaussian assumption in shrinkage and SURE in high dimension. Zbl 1539.62223
Fathi, Max; Goldstein, Larry; Reinert, Gesine; Saumard, Adrien |
|
2022
|
Stability of eigenvalues and observable diameter in RCD\((1, \infty)\) spaces. Zbl 1502.53069
Bertrand, Jerôme; Fathi, Max |
|
2022
|
Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds. Zbl 1498.60324
Cattiaux, Patrick; Fathi, Max; Guillin, Arnaud |
|
2022
|
A sharp symmetrized form of Talagrand’s transport-entropy inequality for the Gaussian measure. Zbl 1400.35008
Fathi, Max |
|
2018
|
Interacting dark side of universe through generalized uncertainty principle. Zbl 1432.83026
Rashki, M.; Fathi, M.; Mostaghel, B.; Jalalzadeh, S. |
|
2019
|
A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality. Zbl 1466.42020
Fathi, Max |
|
2021
|
Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels. Zbl 1500.35065
Fathi, Max; Mikulincer, Dan |
|
2022
|
Modified logarithmic Sobolev inequalities for canonical ensembles. Zbl 1336.60187
Fathi, Max |
|
2015
|
The two-scale approach to hydrodynamic limits for non-reversible dynamics. Zbl 1343.60137
Duong, M. H.; Fathi, M. |
|
2016
|
A note on existence of free Stein kernels. Zbl 1446.46045
Cébron, Guillaume; Fathi, Max; Mai, Tobias |
|
2020
|
Hypocoercivity with Schur complements.
(Hypocoercivité par compléments de Schur.) Zbl 1490.35494
Bernard, Étienne; Fathi, Max; Levitt, Antoine; Stoltz, Gabriel |
|
2022
|
Relaxing the Gaussian assumption in shrinkage and SURE in high dimension. Zbl 1539.62223
Fathi, Max; Goldstein, Larry; Reinert, Gesine; Saumard, Adrien |
|
2022
|
Stability of eigenvalues and observable diameter in RCD\((1, \infty)\) spaces. Zbl 1502.53069
Bertrand, Jerôme; Fathi, Max |
|
2022
|
Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds. Zbl 1498.60324
Cattiaux, Patrick; Fathi, Max; Guillin, Arnaud |
|
2022
|
Stability estimates for invariant measures of diffusion processes, with applications to stability of moment measures and Stein kernels. Zbl 1500.35065
Fathi, Max; Mikulincer, Dan |
|
2022
|
Higher-order Stein kernels for Gaussian approximation. Zbl 1468.60032
Fathi, Max |
|
2021
|
Bounds on optimal transport maps onto log-concave measures. Zbl 1456.49036
Colombo, Maria; Fathi, Max |
|
2021
|
A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality. Zbl 1466.42020
Fathi, Max |
|
2021
|
A proof of the Caffarelli contraction theorem via entropic regularization. Zbl 1458.49038
Fathi, Max; Gozlan, Nathael; Prod’homme, Maxime |
|
2020
|
Stability of the Bakry-Émery theorem on \(\mathbb{R}^n\). Zbl 1437.35005
Courtade, Thomas A.; Fathi, Max |
|
2020
|
Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces. Zbl 1441.82017
Erbar, Matthias; Fathi, Max; Schlichting, André |
|
2020
|
A note on existence of free Stein kernels. Zbl 1446.46045
Cébron, Guillaume; Fathi, Max; Mai, Tobias |
|
2020
|
Existence of Stein kernels under a spectral gap, and discrepancy bounds. Zbl 1466.60006
Courtade, Thomas A.; Fathi, Max; Pananjady, Ashwin |
|
2019
|
Stein kernels and moment maps. Zbl 1466.60044
Fathi, Max |
|
2019
|
Interacting dark side of universe through generalized uncertainty principle. Zbl 1432.83026
Rashki, M.; Fathi, M.; Mostaghel, B.; Jalalzadeh, S. |
|
2019
|
Curvature and transport inequalities for Markov chains in discrete spaces. Zbl 1396.60084
Fathi, Max; Shu, Yan |
|
2018
|
Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature. Zbl 1386.53020
Erbar, Matthias; Fathi, Max |
|
2018
|
Quantitative stability of the entropy power inequality. Zbl 1401.94070
Courtade, Thomas A.; Fathi, Max; Pananjady, Ashwin |
|
2018
|
A sharp symmetrized form of Talagrand’s transport-entropy inequality for the Gaussian measure. Zbl 1400.35008
Fathi, Max |
|
2018
|
Free Stein kernels and an improvement of the free logarithmic Sobolev inequality. Zbl 1381.46058
Fathi, Max; Nelson, Brent |
|
2017
|
Entropic Ricci curvature bounds for discrete interacting systems. Zbl 1345.60076
Fathi, Max; Maas, Jan |
|
2016
|
Quantitative logarithmic Sobolev inequalities and stability estimates. Zbl 1355.60094
Fathi, Max; Indrei, Emanuel; Ledoux, Michel |
|
2016
|
Gradient flow structure for McKean-Vlasov equations on discrete spaces. Zbl 1353.60084
Erbar, Matthias; Fathi, Max; Laschos, Vaios; Schlichting, André |
|
2016
|
A gradient flow approach to large deviations for diffusion processes. Zbl 1357.35006
Fathi, Max |
|
2016
|
The gradient flow approach to hydrodynamic limits for the simple exclusion process. Zbl 1349.35368
Fathi, Max; Simon, Marielle |
|
2016
|
The two-scale approach to hydrodynamic limits for non-reversible dynamics. Zbl 1343.60137
Duong, M. H.; Fathi, M. |
|
2016
|
Error analysis of the transport properties of metropolized schemes. Zbl 1338.60207
Fathi, Max; Homman, Ahmed-Amine; Stoltz, Gabriel |
|
2015
|
Modified logarithmic Sobolev inequalities for canonical ensembles. Zbl 1336.60187
Fathi, Max |
|
2015
|
A two-scale approach to the hydrodynamic limit. II: Local Gibbs behavior. Zbl 1280.60058
Fathi, Max |
|
2013
|
Transport-entropy inequalities and deviation estimates for stochastic approximation schemes. Zbl 1284.60137
Fathi, Max; Frikha, Noufel |
|
2013
|
