Matthias Erbar
- On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces
2014/12/19 by Matthias Erbar, Kazumasa Kuwada, Karl-Theodor Sturm · 38 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research
- Optimal transport, Cheeger energies and contractivity of dynamic\n transport distances in extended spaces
2015/06/19 by Luigi Ambrosio, Ambrosio, Luigi, Matthias Erbar +3 · 4 citations
Mathematics · Physics and Astronomy · #30L99 #47D07 #49Q20 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Metric Geometry (math.MG) #Probability (math.PR)
- A gradient flow approach to the Boltzmann equation
2016/03/02 by Matthias Erbar, Erbar, Matthias · 4 citations
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Machine Learning in Materials Science #Mathematical Biology Tumor Growth
- Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph
2021/05/12 by Matthias Erbar, Dominik Forkert, Erbar, Matthias +5 · 2 citations
Mathematics · Environmental Science · #Geometric Analysis and Curvature Flows #Toxic Organic Pollutants Impact #Markov Chains and Monte Carlo Methods
- Covariance-Modulated Optimal Transport and Gradient Flows
2023/02/15 by Martin Burger, Matthias Erbar, Franca Hoffmann +2 · 1 voice · 1 citation
Mathematics · Computer Science · #Numerical methods in inverse problems #Geometric Analysis and Curvature Flows #Advanced Mathematical Modeling in Engineering