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Matthias Erbar
Matthias Erbar
Fakultät für Mathematik, Universität Bielefeld
Bestätigte E-Mail-Adresse bei math.uni-bielefeld.de
Titel
Zitiert von
Zitiert von
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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
4152015
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
2192012
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
982010
Gradient flow structures for discrete porous medium equations
M Erbar, J Maas
Discrete and Continuous Dynamical Systems 34 (4), 1355-1374, 2014
752014
Gradient flows of the entropy for jump processes
M Erbar
Annales de l'IHP Probabilités et statistiques 50 (3), 920-945, 2014
502014
From large deviations to Wasserstein gradient flows in multiple dimensions
M Erbar, J Maas, M Renger
Electron. Commun. Probab. 20 (89), 1-12, 2015
472015
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
432018
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
43*2017
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
402015
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
402015
A gradient flow approach to the Boltzmann equation
M Erbar
Journal of the European Mathematical Society, 2023
382023
Ricci curvature bounds for weakly interacting Markov chains
M Erbar, C Henderson, G Menz, P Tetali
Electronic Journal of Probability 22, 1-23, 2017
372017
Gradient flow structure for McKean-Vlasov equations on discrete spaces
M Erbar, M Fathi, V Laschos, A Schlichting
arXiv preprint arXiv:1601.08098, 2016
332016
Computation of optimal transport on discrete metric measure spaces
M Erbar, M Rumpf, B Schmitzer, S Simon
Numerische Mathematik 144 (1), 157-200, 2020
322020
Curvature bounds for configuration spaces
M Erbar, M Huesmann
Calculus of Variations and Partial Differential Equations 201 (3), 397-430, 2014
222014
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
162022
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
142019
Rigidity of cones with bounded Ricci curvature.
M Erbar, KT Sturm
Journal of the European Mathematical Society (EMS Publishing) 23 (1), 2021
132021
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
122021
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
122019
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