Sturm, Karl-Theodor

1. On the Equivalence of the Entropic Curvature-Dimension Condition and Bochner's Inequality on Metric Measure Spaces
   2013/03/18 by Erbar, Matthias, Kuwada, Kazumasa, Sturm, Karl-Theodor · 4 citations
   #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)
2. Entropic Measure and Wasserstein Diffusion
   2007/04/05 by Max‐K. von Renesse, Karl‐Theodor Sturm, von Renesse, Max-K +1 · 3 citations
   Mathematics · #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Geometry and complex manifolds
3. Localization and Tensorization Properties of the Curvature-Dimension Condition for Metric Measure Spaces
   2010/03/10 by Bacher, Kathrin, Sturm, Karl-Theodor · 3 citations
   #53C23 #Differential Geometry (math.DG) #FOS: Mathematics
4. The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces
   2012/08/02 by Karl‐Theodor Sturm, Sturm, Karl-Theodor · 3 citations
   Physics and Astronomy · Mathematics · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities
5. Super-Ricci Flows for Metric Measure Spaces
   2016/03/07 by Sturm, Karl-Theodor · 2 citations
   #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)
6. Generalized Orlicz spaces and Wasserstein distances for convex-concave scale functions
   2011/04/21 by Sturm, Karl-Theodor · 1 citation
   #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
7. Optimal maps and exponentiation on finite dimensional spaces with Ricci curvature bounded from below
   2013/05/21 by Nicola Gigli, Gigli, Nicola, Tapio Rajala +3 · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Metric Geometry (math.MG)
8. Metric Measure Spaces with Variable Ricci Bounds and Couplings of Brownian Motions
   2014/05/02 by Sturm, Karl-Theodor · 1 citation
   #31E #51F #58C #58J #60D #60H #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG) #Probability (math.PR)
9. Gradient Flows for Semiconvex Functions on Metric Measure Spaces - Existence, Uniqueness and Lipschitz Continuity
   2014/10/15 by Sturm, Karl-Theodor · 1 citation
   #FOS: Mathematics #Metric Geometry (math.MG)
10. Rigidity of cones with bounded Ricci curvature
    2017/12/21 by Erbar, Matthias, Sturm, Karl-Theodor · 1 citation
    #Differential Geometry (math.DG) #FOS: Mathematics #Probability (math.PR)
11. Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds
    2020/09/07 by Erbar, Matthias, Rigoni, Chiara, Sturm, Karl-Theodor +1 · 1 citation
    #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Probability (math.PR)
12. Metric Measure Spaces and Synthetic Ricci Bounds -- Fundamental Concepts and Recent Developments
    2024/04/24 by Sturm, Karl-Theodor · 1 citation
    #FOS: Mathematics #Metric Geometry (math.MG)
13. Random Riemannian Geometry in 4 Dimensions
    2024/01/23 by Karl‐Theodor Sturm, Sturm, Karl-Theodor · 1 citation
    Mathematics · #Geometry and complex manifolds #Morphological variations and asymmetry #Stochastic processes and statistical mechanics
14. Bakry-Èmery, Hardy, and Spectral Gap Estimates on Manifolds with Conical Singularities
    2024/05/17 by Sturm, Karl-Theodor · 1 citation
    #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)
15. Gradient and Transport Estimates for Heat Flow on Nonconvex Domains
    2025/02/04 by Sturm, Karl-Theodor · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)