papers
Publications (17)
math.PR2016
Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains with non-negative Ricci curvature
Matthias Erbar, Max Fathi
math.DG2016
Smoothing and non-smoothing via a flow tangent to the Ricci flow
Matthias Erbar, Nicolas Juillet
math.PR2010
Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation
Matthias Erbar
math.MG2018
On the geometry of geodesics in discrete optimal transport
Matthias Erbar, Jan Maas, Melchior Wirth
math.DG2017
Rigidity of cones with bounded Ricci curvature
Matthias Erbar, Karl-Theodor Sturm
math.PR2016
Ricci curvature bounds for weakly interacting Markov chains
Matthias Erbar, Christopher Henderson, Georg Menz +1
math.PR2016
Gradient flow structure for McKean-Vlasov equations on discrete spaces
Matthias Erbar, Max Fathi, Vaios Laschos +1
math.PR2016
From large deviations to Wasserstein gradient flows in multiple dimensions
Matthias Erbar, Jan Maas, Michiel Renger
math.DG2018
Super Ricci flows for weighted graphs
Matthias Erbar, Eva Kopfer
math.PR2012
Gradient flows of the entropy for jump processes
Matthias Erbar
math.PR2018
The one-dimensional log-gas free energy has a unique minimiser
Matthias Erbar, Martin Huesmann, Thomas Leblé
math.PR2014
Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models
Matthias Erbar, Jan Maas, Prasad Tetali
math.FA2014
Curvature bounds for configuration spaces
Matthias Erbar, Martin Huesmann
math.MG2012
Ricci curvature of finite Markov chains via convexity of the entropy
Matthias Erbar, Jan Maas
math.FA2012
Gradient flow structures for discrete porous medium equations
Matthias Erbar, Jan Maas
math.FA2015
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces
Luigi Ambrosio, Matthias Erbar, Giuseppe Savaré
math.DG2013
On the Equivalence of the Entropic Curvature-Dimension Condition and Bochner's Inequality on Metric Measure Spaces
Matthias Erbar, Kazumasa Kuwada, Karl-Theodor Sturm