Probability and Stochastic Analysis - University of Bonn
18Super Ricci flows for weighted graphs [PDF]
with Eva Kopfer,
17On the geometry of geodesics in discrete optimal transport [PDF]
with Jan Maas and Melchior Wirth,
16Rigidity of cones with bounded Ricci curvature [PDF]
with Karl-Theodor Sturm,
to appear in J. Eur. Math. Soc.



Computation of Optimal Transport on Discrete Metric Measure Spaces [PDF]
with Martin Rumpf, Bernhard Schmitzer and Stefan Simon,
14Poincaré, modified logarithmic Sobolev and isoperimetric inequalities for Markov chains
with non-negative Ricci curvature [PDF],
with Max Fathi,
J. Funct. Anal., Vol. 274, No. 11,
3056-3089, (2018).
13A gradient flow approach to the Boltzmann equation [PDF]
12Smoothing and non-smoothing via a flow tangent to the Ricci flow [PDF]
with Nicolas Juillet,
J. Math. Pures Appl. (9), Vol. 110, 123-154, (2018).
11Ricci bounds for weakly interacting Markov chains [PDF]
with Christopher Henderson, Georg Menz and Prasad Tetali,
Electron. J. Probab. Vol. 22, No. 40, 1-23, (2017).
10Gradient flow structure for McKean-Vlasov equations on discrete spaces [PDF]
with Max Fathi, Vaios Laschos and Andre Schlichting,
Discrete and Continuous Dynamical Systems, 36 (12), 6799--6833, (2016).
9Optimal transport, Cheeger energies and contractivity
of dynamic transport distances in extended spaces
with Luigi Ambrosio and Giuseppe Savaré,
Nonlinear Anal. Vol. 137, 77–134 (2016).
8From large deviations to Wasserstein gradient flows in multiple dimensions [PDF]
with Jan Maas and Michiel Renger,
Electron. Commun. Probab. Vol. 20, No. 89, 1-12, (2015).
7Ricci curvature bounds for Bernoulli-Laplace and random transposition models [PDF]
with Jan Maas and Prasad Tetali,
Ann. Fac. Sci. Toulouse Math. Vol. 24, No. 4, 781–800, (2015).
6Curvature bounds for configuration spaces [PDF]
with Martin Huesmann,
Calc. Var. PDE, 201 (3), 397-430, (2014).
5On the equivalence of Bochner's inequality and the entropic curvature-dimension
condition on metric measure spaces [PDF]
with Kazumasa Kuwada and Karl-Theodor Sturm,
Invent. math. 201 (3), 993-1071, (2015).
4Gradient flow structures for discrete porous medium equations [PDF]
with Jan Maas,
Discrete and Continuous Dynamical Systems 34 (4), 1355-1374, (2014).
3Gradient flows of the entropy for jump processes [PDF]
Ann. Inst. H. Poincare Probab. Stat. 50 (3), 920-945, (2014).
2Ricci curvature of finite Markov chains via convexity of the entropy [PDF]
with Jan Maas,
Arch. Rat. Mech. Anal. 206 (3), 997-1038, (2012).
1The heat equation on manifolds as a gradient flow in the Wasserstein space [PDF]
Ann. Inst. H. Poincare Probab. Stat. 46 (1), 1-23, (2010).