25 Publikationen
-
2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980769Approximation of splines in Wasserstein spacesPUB | DOI | WoS | arXiv
Erbar M, Justiniano J, Rumpf M (2024)
ESAIM:Control, Optimisation and Calculus of Variations 30: 64. -
2023 | Preprint | PUB-ID: 2980770Covariance-modulated optimal transport and gradient flowsPUB | arXiv
Burger M, Erbar M, Hoffmann F, Matthes D, Schlichting A (2023)
arXiv:2302.07773. -
-
2023 | Preprint | PUB-ID: 2980768Optimal transport of stationary point processes: Metric structure, gradient flow and convexity of the specific entropyPUB | arXiv
Erbar M, Huesmann M, Jalowy J, M\ B (2023)
arXiv:2304.11145. -
2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980855Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graphPUB | DOI | Download (ext.) | WoS
Erbar M, Forkert D, Maas J, Mugnolo D (2022)
Networks and Heterogeneous Media: An Applied Mathematics Journal 17(5): 687-717. -
2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980844Tamed spaces – Dirichlet spaces with distribution-valued Ricci boundsPUB | DOI | Download (ext.) | WoS
Erbar M, Rigoni C, Sturm K-T, Tamanini L (2022)
Journal de Mathématiques Pures et Appliquées 161: 1-69. -
2021 | Zeitschriftenaufsatz | PUB-ID: 2980854
The one-dimensional log-gas free energy has a unique minimizerPUB | PDF | DOI | Download (ext.)
Erbar M, Huesmann M, Leblé T (2021)
Comm. Pure Appl. Math. 74(3): 615-675. -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980840
Rigidity of cones with bounded Ricci curvaturePUB | PDF | DOI | Download (ext.) | WoS
Erbar M, Sturm K-T (2021)
J. Eur. Math. Soc. (JEMS) 23(1): 219-235. -
2020 | Zeitschriftenaufsatz | PUB-ID: 2980838Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spacesPUB | DOI
Erbar M, Fathi M, Schlichting A (2020)
ALEA Lat. Am. J. Probab. Math. Stat. 17(1): 445-471. -
-
2020 | Zeitschriftenaufsatz | PUB-ID: 2980841Computation of optimal transport on discrete metric measure spacesPUB | DOI
Erbar M, Rumpf M, Schmitzer B, Simon S (2020)
Numer. Math. 144(1): 157-200. -
2019 | Zeitschriftenaufsatz | PUB-ID: 2980843On the geometry of geodesics in discrete optimal transportPUB | DOI
Erbar M, Maas J, Wirth M (2019)
Calc. Var. Partial Differential Equations 58(1): Paper No. 19, 19. -
2018 | Zeitschriftenaufsatz | PUB-ID: 2980849Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvaturePUB | DOI
Erbar M, Fathi M (2018)
J. Funct. Anal. 274(11): 3056-3089. -
2018 | Zeitschriftenaufsatz | PUB-ID: 2980842Smoothing and non-smoothing via a flow tangent to the Ricci flowPUB | DOI
Erbar M, Juillet N (2018)
J. Math. Pures Appl. (9) 110: 123-154. -
2017 | Zeitschriftenaufsatz | PUB-ID: 2980845Ricci curvature bounds for weakly interacting Markov chainsPUB | DOI
Erbar M, Henderson C, Menz G, Tetali P (2017)
Electron. J. Probab. 22: Paper No. 40, 23. -
2016 | Zeitschriftenaufsatz | PUB-ID: 2980857Gradient flow structure for McKean-Vlasov equations on discrete spacesPUB | DOI
Erbar M, Fathi M, Laschos V, Schlichting A (2016)
Discrete Contin. Dyn. Syst. 36(12): 6799-6833. -
2016 | Zeitschriftenaufsatz | PUB-ID: 2980846Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spacesPUB | DOI
Ambrosio L, Erbar M, Savar\'{e} G (2016)
Nonlinear Anal. 137: 77-134. -
2015 | Zeitschriftenaufsatz | PUB-ID: 2980853From large deviations to Wasserstein gradient flows in multiple dimensionsPUB | DOI
Erbar M, Maas J, Renger DRM (2015)
Electron. Commun. Probab. 20: no. 89, 12. -
2015 | Zeitschriftenaufsatz | PUB-ID: 2980851Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition modelsPUB | DOI
Erbar M, Maas J, Tetali P (2015)
Ann. Fac. Sci. Toulouse Math. (6) 24(4): 781-800. -
2015 | Zeitschriftenaufsatz | PUB-ID: 2980837Curvature bounds for configuration spacesPUB | DOI
Erbar M, Huesmann M (2015)
Calc. Var. Partial Differential Equations 54(1): 397-430. -
2015 | Zeitschriftenaufsatz | PUB-ID: 2980836On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spacesPUB | DOI
Erbar M, Kuwada K, Sturm K-T (2015)
Invent. Math. 201(3): 993-1071. -
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980848Gradient flows of the entropy for jump processesPUB | DOI
Erbar M (2014)
Ann. Inst. Henri Poincaré Probab. Stat. 50(3): 920-945. -
2014 | Zeitschriftenaufsatz | PUB-ID: 2980850Gradient flow structures for discrete porous medium equationsPUB | DOI
Erbar M, Maas J (2014)
Discrete Contin. Dyn. Syst. 34(4): 1355-1374. -
2012 | Zeitschriftenaufsatz | PUB-ID: 2980852Ricci curvature of finite Markov chains via convexity of the entropyPUB | DOI
Erbar M, Maas J (2012)
Arch. Ration. Mech. Anal. 206(3): 997-1038. -
2010 | Zeitschriftenaufsatz | PUB-ID: 2980858The heat equation on manifolds as a gradient flow in the Wasserstein spacePUB | DOI
Erbar M (2010)
Ann. Inst. Henri Poincaré Probab. Stat. 46(1): 1-23.