| On the geometry of metric measure spaces KT Sturm Acta mathematica 196 (1), 65-131, 2006 | 734 | 2006 |
| Transport inequalities, gradient estimates, entropy and Ricci curvature MK von Renesse, KT Sturm Communications on pure and applied mathematics 58 (7), 923-940, 2005 | 341 | 2005 |
| Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties. KT Sturm Journal für die reine und angewandte Mathematik 456, 173-196, 1994 | 287 | 1994 |
| Analysis on local Dirichlet spaces-III. The parabolic Harnack inequality KT Sturm J. Math. Pures Appl. 75 (9), 273-297, 1996 | 234 | 1996 |
| Probability measures on metric spaces of nonpositive KT Sturm Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces: Lecture …, 2003 | 228 | 2003 |
| Analysis on local Dirichlet spaces. II. Upper Gaussian estimates for the fundamental solutions of parabolic equations KT Sturm Osaka Journal of Mathematics 32 (2), 275-312, 1995 | 199 | 1995 |
| On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces M Erbar, K Kuwada, KT Sturm Inventiones mathematicae 201 (3), 993-1071, 2015 | 169 | 2015 |
| Localization and tensorization properties of the curvature-dimension condition for metric measure spaces K Bacher, KT Sturm arXiv preprint arXiv:1003.2116, 2010 | 127 | 2010 |
| Heat flow on Finsler manifolds S Ohta, KT Sturm Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2009 | 114 | 2009 |
| Diffusion processes and heat kernels on metric spaces KT Sturm The Annals of Probability 26 (1), 1-55, 1998 | 98 | 1998 |
| Mass transportation and rough curvature bounds for discrete spaces AI Bonciocat, KT Sturm Journal of Functional Analysis 256 (9), 2944-2966, 2009 | 82 | 2009 |
| Convex functionals of probability measures and nonlinear diffusions on manifolds KT Sturm Journal de mathématiques pures et appliquées 84 (2), 149-168, 2005 | 79 | 2005 |
| On the Lp-spectrum of uniformly elliptic operators on Riemannian manifolds KT Sturm Journal of functional analysis 118 (2), 442-453, 1993 | 69 | 1993 |
| On the geometry defined by Dirichlet forms KT Sturm Seminar on Stochastic Analysis, Random Fields and Applications, 231-242, 1995 | 66 | 1995 |
| Non-branching geodesics and optimal maps in strong $$ CD (K,\infty) $$ C D (K,∞)-spaces T Rajala, KT Sturm Calculus of Variations and Partial Differential Equations 50 (3-4), 831-846, 2014 | 52 | 2014 |
| Bochner–Weitzenböck formula and Li–Yau estimates on Finsler manifolds S Ohta, KT Sturm Advances in Mathematics 252, 429-448, 2014 | 52 | 2014 |
| Entropic measure and Wasserstein diffusion MK von Renesse, KT Sturm The Annals of Probability 37 (3), 1114-1191, 2009 | 51 | 2009 |
| Nonlinear martingale theory for processes with values in metric spaces of nonpositive curvature KT Sturm The Annals of Probability 30 (3), 1195-1222, 2002 | 48 | 2002 |
| Optimal maps and exponentiation on finite-dimensional spaces with Ricci curvature bounded from below N Gigli, T Rajala, KT Sturm The Journal of Geometric Analysis 26 (4), 2914-2929, 2016 | 46 | 2016 |
| Wasserstein space over the Wiener space S Fang, J Shao, KT Sturm Probability theory and related fields 146 (3-4), 535, 2010 | 45 | 2010 |
