On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces M Erbar, K Kuwada, KT Sturm Inventiones mathematicae 201 (3), 993-1071, 2015 | 429 | 2015 |
Ricci curvature of finite Markov chains via convexity of the entropy M Erbar, J Maas Archive for Rational Mechanics and Analysis 206 (3), 997-1038, 2012 | 227 | 2012 |
The heat equation on manifolds as a gradient flow in the Wasserstein space M Erbar Annales de l'institut Henri Poincaré (B) 46 (1), 1-23, 2010 | 103 | 2010 |
Gradient flow structures for discrete porous medium equations M Erbar, J Maas Discrete and Continuous Dynamical Systems 34 (4), 1355-1374, 2014 | 84 | 2014 |
Gradient flows of the entropy for jump processes M Erbar Annales de l'IHP Probabilités et statistiques 50 (3), 920-945, 2014 | 54 | 2014 |
From large deviations to Wasserstein gradient flows in multiple dimensions M Erbar, J Maas, M Renger Electron. Commun. Probab. 20 (89), 1-12, 2015 | 51 | 2015 |
Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature M Erbar, M Fathi Journal of Functional Analysis 274 (11), 3056-3089, 2018 | 46 | 2018 |
Poincar\'e, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature M Fathi, M Erbar Journal of Functional Analysis, 2017 | 46* | 2017 |
A gradient flow approach to the Boltzmann equation M Erbar Journal of the European Mathematical Society, 2023 | 43 | 2023 |
Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models M Erbar, J Maas, P Tetali Ann. Fac. Sci. Toulouse Math. 24 (4), 781-800, 2015 | 42 | 2015 |
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces L Ambrosio, M Erbar, G Savaré Nonlinear Analysis: Theory, Methods & Applications, 2015 | 40 | 2015 |
Ricci curvature bounds for weakly interacting Markov chains M Erbar, C Henderson, G Menz, P Tetali Electronic Journal of Probability 22, 1-23, 2017 | 38 | 2017 |
Gradient flow structure for McKean-Vlasov equations on discrete spaces M Erbar, M Fathi, V Laschos, A Schlichting arXiv preprint arXiv:1601.08098, 2016 | 36 | 2016 |
Computation of optimal transport on discrete metric measure spaces M Erbar, M Rumpf, B Schmitzer, S Simon Numerische Mathematik 144 (1), 157-200, 2020 | 33 | 2020 |
Curvature bounds for configuration spaces M Erbar, M Huesmann Calculus of Variations and Partial Differential Equations 201 (3), 397-430, 2014 | 22 | 2014 |
Tamed spaces–Dirichlet spaces with distribution-valued Ricci bounds M Erbar, C Rigoni, KT Sturm, L Tamanini Journal de Mathématiques Pures et Appliquées 161, 1-69, 2022 | 17 | 2022 |
On the geometry of geodesics in discrete optimal transport M Erbar, J Maas, M Wirth Calculus of variations and partial differential equations 58 (1), 1-19, 2019 | 15 | 2019 |
Rigidity of cones with bounded Ricci curvature. M Erbar, KT Sturm Journal of the European Mathematical Society (EMS Publishing) 23 (1), 2021 | 14 | 2021 |
Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces M Erbar, M Fathi, A Schlichting arXiv preprint arXiv:1908.03397, 2019 | 13 | 2019 |
The One‐Dimensional Log‐Gas Free Energy Has a Unique Minimizer M Erbar, M Huesmann, T Leblé Communications on Pure and Applied Mathematics 74 (3), 615-675, 2021 | 12 | 2021 |