On the geometry of metric measure spaces KT Sturm Acta mathematica 196 (1), 65-131, 2006 | 1349 | 2006 |
On the geometry of metric measure spaces. II. KT STURM Acta mathematica 196 (1), 133-177, 2006 | 880 | 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 | 551 | 2005 |
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 | 418 | 2015 |
Probability measures on metric spaces of nonpositive KT Sturm Heat kernels and analysis on manifolds, graphs, and metric spaces 338, 357, 2003 | 401 | 2003 |
Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties. KT Sturm Walter de Gruyter, Berlin/New York 1994 (456), 173-196, 1994 | 382 | 1994 |
Analysis on local Dirichlet spaces-III. Poincaré and parabolic Harnack inequality SK Th J. Math. Pures Appl., 273-297, 1996 | 348 | 1996 |
Analysis on local Dirichlet spaces. II. Upper Gaussian estimates for the fundamental solutions of parabolic equations KT Sturm | 306 | 1995 |
Localization and tensorization properties of the curvature-dimension condition for metric measure spaces K Bacher, KT Sturm Journal of Functional Analysis 259 (1), 28-56, 2010 | 225 | 2010 |
Heat flow on Finsler manifolds S Ohta, KT Sturm Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2009 | 209 | 2009 |
Diffusion processes and heat kernels on metric spaces KT Sturm The Annals of Probability 26 (1), 1-55, 1998 | 147 | 1998 |
Non-branching geodesics and optimal maps in strong -spaces T Rajala, KT Sturm Calculus of Variations and Partial Differential Equations 50 (3), 831-846, 2014 | 126 | 2014 |
Bochner–Weitzenböck formula and Li–Yau estimates on Finsler manifolds S Ohta, KT Sturm Advances in Mathematics 252, 429-448, 2014 | 125 | 2014 |
Entropic measure and Wasserstein diffusion MK von Renesse, KT Sturm | 118 | 2009 |
Convex functionals of probability measures and nonlinear diffusions on manifolds KT Sturm Journal de mathématiques pures et appliquées 84 (2), 149-168, 2005 | 108 | 2005 |
Mass transportation and rough curvature bounds for discrete spaces AI Bonciocat, KT Sturm Journal of Functional Analysis 256 (9), 2944-2966, 2009 | 106 | 2009 |
The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces KT Sturm arXiv preprint arXiv:1208.0434, 2012 | 105 | 2012 |
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, 2914-2929, 2016 | 94 | 2016 |
On the Lp-spectrum of uniformly elliptic operators on Riemannian manifolds KT Sturm Journal of functional analysis 118 (2), 442-453, 1993 | 94 | 1993 |
On the geometry defined by Dirichlet forms KT Sturm Seminar on Stochastic Analysis, Random Fields and Applications: Centro …, 1995 | 82 | 1995 |