Karl-Theodor Sturm - Selected Publications#

Analysis on local Dirichet spaces I. Journal für die reine und angewandte Mathematik 456 (1994), 173-196.

Analysis on local Dirichet spaces II. Osaka Journal of Mathematics 32 (1995), 275-312.

Analysis on local Dirichet spaces III. Journal de Mathématiques Pures et Appliquées 75 (1996), 273-297.

Transport inequalities, gradient estimates, entropy and Ricci curvature. Communications on Pure and Applied Mathematics 58, (2005), 923-940 (with M.-K. Renesse).

On the geometry of metric measure spaces. Acta Mathematica 196, (2006), 65-131.

On the geometry of metric measure spaces II. Acta Mathematica 196, (2006), 133-177.

Entropic measure and Wasserstein diffusion. The Annals of Probability 37, (2009), 1114-1191 (with M.-K. Renesse).

Optimal transport from Lebesgue to Poisson. The Annals of Probability 41, 4 (2013), 2426-2478 (with M. Huesmann).

On the equivalence of the Entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces. Invent. Math. 201 (2015), 993-1071 (with M. Erbar and K. Kuwada).

Heat flow on time-dependent metric measure spaces and super-Ricci flows. Comm. Pure Appl. Math. 71 (2018), 2500-2608 (with E. Kopfer).

Distribution-valued Ricci bounds for metric measure spaces, singular time changes, and gradient estimates for Neumann heat flows. Geom. Funct. Anal. 30 (2020), 1648-1711.

Rigidity of cones with bounded Ricci curvature. J. Eur. Math. Soc. 23 (2021), 219-235 (with M. Erbar).