Concepedia
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Publications
7
Citations
538
H-Index
Active since
2013
Affiliations
University of Bonn(Current)
Weierstrass Institute for Applied Analysis and Stochastics
Tokyo Institute of Technology
Matthias Erbar is an author at University of Bonn specializing in functional analysis, engineering, and markov chains.
Top concepts
EngineeringFunctional AnalysisEntropyPhysicsProbabilityMarkov ChainsBrownian MotionMultiphase FlowSpectral TheoryStochastic Analysis
Publications per year
2013–2023
On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces
Matthias Erbar, Kazumasa Kuwada, Karl-Theodor Sturm · Inventiones mathematicae · 2014 · 386 citations
Measure Theory, Entropic Curvature-dimension Condition, Riemannian Geometry +4
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces Dedicated to J.L. Vazquez in occasion of his 70th birthday
Luigi Ambrosio, Matthias Erbar, Giuseppe Savaré · Scuola Normale Superiore di Pisa · 2016 · 31 citations · Full text
Gradient flow structure for McKean-Vlasov equations on discrete spaces
André Schlichting, Vaios Laschos, Max Fathi et al. · Discrete and Continuous Dynamical Systems · 2016 · 30 citations · Full text
Dirichlet Form, Infinite Dimensional Analysis, Geometric Partial Differential Equation +8
Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature
Matthias Erbar, Max Fathi · Journal of Functional Analysis · 2018 · 30 citations
Spectral Theory, Markov Chains, Non-negative Ricci Curvature +8
From large deviations to Wasserstein gradient flows in multiple\n dimensions
Matthias Erbar, Jan Maas, D. R. Michiel Renger · Project Euclid (Cornell University) · 2015 · 28 citations
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