25 Publikationen
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2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980769Approximation of splines in Wasserstein spacesPUB | DOI | WoS | arXiv
Erbar, Matthias, Approximation of splines in Wasserstein spaces. ESAIM:Control, Optimisation and Calculus of Variations 30 (). , 2024 -
2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980771A gradient flow approach to the Boltzmann equationPUB | DOI | WoS
Erbar, Matthias, A gradient flow approach to the Boltzmann equation. Journal of the European Mathematical Society (JEMS) 26 (11). , 2023 -
2023 | Preprint | PUB-ID: 2980768Optimal transport of stationary point processes: Metric structure, gradient flow and convexity of the specific entropyPUB | arXiv
Erbar, Matthias, Optimal transport of stationary point processes: Metric structure, gradient flow and convexity of the specific entropy. arXiv:2304.11145 (). , 2023 -
2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980855Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graphPUB | DOI | Download (ext.) | WoS
Erbar, Matthias, Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Networks and Heterogeneous Media: An Applied Mathematics Journal 17 (5). , 2022 -
2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980844Tamed spaces – Dirichlet spaces with distribution-valued Ricci boundsPUB | DOI | Download (ext.) | WoS
Erbar, Matthias, Tamed spaces – Dirichlet spaces with distribution-valued Ricci bounds. Journal de Mathématiques Pures et Appliquées 161 (). , 2022 -
2021 | Zeitschriftenaufsatz | PUB-ID: 2980854
The one-dimensional log-gas free energy has a unique minimizerPUB | PDF | DOI | Download (ext.)
Erbar, Matthias, The one-dimensional log-gas free energy has a unique minimizer. Comm. Pure Appl. Math. 74 (3). , 2021 -
2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980840
Rigidity of cones with bounded Ricci curvaturePUB | PDF | DOI | Download (ext.) | WoS
Erbar, Matthias, Rigidity of cones with bounded Ricci curvature. J. Eur. Math. Soc. (JEMS) 23 (1). , 2021 -
2020 | Zeitschriftenaufsatz | PUB-ID: 2980838Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spacesPUB | DOI
Erbar, Matthias, Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces. ALEA Lat. Am. J. Probab. Math. Stat. 17 (1). , 2020 -
2020 | Zeitschriftenaufsatz | PUB-ID: 2980839Super Ricci flows for weighted graphsPUB | DOI | WoS
Erbar, Matthias, Super Ricci flows for weighted graphs. J. Funct. Anal. 279 (6). , 2020 -
2020 | Zeitschriftenaufsatz | PUB-ID: 2980841Computation of optimal transport on discrete metric measure spacesPUB | DOI
Erbar, Matthias, Computation of optimal transport on discrete metric measure spaces. Numer. Math. 144 (1). , 2020 -
2019 | Zeitschriftenaufsatz | PUB-ID: 2980843On the geometry of geodesics in discrete optimal transportPUB | DOI
Erbar, Matthias, On the geometry of geodesics in discrete optimal transport. Calc. Var. Partial Differential Equations 58 (1). , 2019 -
2018 | Zeitschriftenaufsatz | PUB-ID: 2980849Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvaturePUB | DOI
Erbar, Matthias, Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature. J. Funct. Anal. 274 (11). , 2018 -
2018 | Zeitschriftenaufsatz | PUB-ID: 2980842Smoothing and non-smoothing via a flow tangent to the Ricci flowPUB | DOI
Erbar, Matthias, Smoothing and non-smoothing via a flow tangent to the Ricci flow. J. Math. Pures Appl. (9) 110 (). , 2018 -
2017 | Zeitschriftenaufsatz | PUB-ID: 2980845Ricci curvature bounds for weakly interacting Markov chainsPUB | DOI
Erbar, Matthias, Ricci curvature bounds for weakly interacting Markov chains. Electron. J. Probab. 22 (). , 2017 -
2016 | Zeitschriftenaufsatz | PUB-ID: 2980857Gradient flow structure for McKean-Vlasov equations on discrete spacesPUB | DOI
Erbar, Matthias, Gradient flow structure for McKean-Vlasov equations on discrete spaces. Discrete Contin. Dyn. Syst. 36 (12). , 2016 -
2016 | Zeitschriftenaufsatz | PUB-ID: 2980846Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spacesPUB | DOI
Ambrosio, Luigi, Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Nonlinear Anal. 137 (). , 2016 -
2015 | Zeitschriftenaufsatz | PUB-ID: 2980853From large deviations to Wasserstein gradient flows in multiple dimensionsPUB | DOI
Erbar, Matthias, From large deviations to Wasserstein gradient flows in multiple dimensions. Electron. Commun. Probab. 20 (). , 2015 -
2015 | Zeitschriftenaufsatz | PUB-ID: 2980851Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition modelsPUB | DOI
Erbar, Matthias, Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models. Ann. Fac. Sci. Toulouse Math. (6) 24 (4). , 2015 -
2015 | Zeitschriftenaufsatz | PUB-ID: 2980837Curvature bounds for configuration spacesPUB | DOI
Erbar, Matthias, Curvature bounds for configuration spaces. Calc. Var. Partial Differential Equations 54 (1). , 2015 -
2015 | Zeitschriftenaufsatz | PUB-ID: 2980836On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spacesPUB | DOI
Erbar, Matthias, On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces. Invent. Math. 201 (3). , 2015 -
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980848Gradient flows of the entropy for jump processesPUB | DOI
Erbar, Matthias, Gradient flows of the entropy for jump processes. Ann. Inst. Henri Poincaré Probab. Stat. 50 (3). , 2014 -
2014 | Zeitschriftenaufsatz | PUB-ID: 2980850Gradient flow structures for discrete porous medium equationsPUB | DOI
Erbar, Matthias, Gradient flow structures for discrete porous medium equations. Discrete Contin. Dyn. Syst. 34 (4). , 2014 -
2012 | Zeitschriftenaufsatz | PUB-ID: 2980852Ricci curvature of finite Markov chains via convexity of the entropyPUB | DOI
Erbar, Matthias, Ricci curvature of finite Markov chains via convexity of the entropy. Arch. Ration. Mech. Anal. 206 (3). , 2012 -
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980858The heat equation on manifolds as a gradient flow in the Wasserstein spacePUB | DOI
Erbar, Matthias, The heat equation on manifolds as a gradient flow in the Wasserstein space. Annales de l'Institut Henri Poincaré (B): Probability and Statistics 46 (1). , 2010