Karl-Theodor Sturm | Academic Influence

Karl-Theodor Sturm's AcademicInfluence.com Rankings

Karl-Theodor Sturm

Mathematics

#1808

World Rank

#2889

Historical Rank

Algebraic Geometry

#176

World Rank

#184

Historical Rank

Number Theory

#287

World Rank

#358

Historical Rank

Measure Theory

#2611

World Rank

#3125

Historical Rank

mathematics Degrees

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Mathematics

Karl-Theodor Sturm's Degrees

PhD Mathematics University of Bonn
Masters Mathematics University of Bonn
Bachelors Mathematics University of Bonn

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Why Is Karl-Theodor Sturm Influential?

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According to Wikipedia, Karl-Theodor "Theo" Sturm is a German mathematician working in stochastic analysis. Life and work After obtaining his Abitur from the Platen-Gymnasium Ansbach in 1980, Sturm began to study Mathematics and Physics at the University of Erlangen-Nuremberg where he graduated in 1986 with the Diploma in Mathematics and the State Examination in Mathematics and Physics. In 1989, he obtained his PhD under the supervision of Heinz Bauer and in 1993 he received his habilitation. Visiting and research positions led him to the universities of Stanford, Zurich, and Bonn as well as to the MPI Leipzig. In 1994, he was awarded a Heisenberg fellowship of the DFG. Since 1997, he is professor of mathematics at the University of Bonn.

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Karl-Theodor Sturm's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On the geometry of metric measure spaces (2006) (1220)
On the geometry of metric measure spaces. II (2006) (969)
Transport inequalities, gradient estimates, entropy and Ricci curvature (2005) (476)
Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties. (1994) (348)
On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces (2013) (347)
Analysis on local Dirichlet spaces. III. The parabolic Harnack inequality (1996) (318)
Probability Measures on Metric Spaces of Nonpositive Curvature (2003) (305)
Analysis on local Dirichlet spaces. II. Upper Gaussian estimates for the fundamental solutions of parabolic equations (1995) (282)
Localization and Tensorization Properties of the Curvature-Dimension Condition for Metric Measure Spaces (2010) (207)
Heat flow on Finsler manifolds (2008) (193)
Diffusion processes and heat kernels on metric spaces (1998) (113)
Non-branching geodesics and optimal maps in strong C D ( K , ∞ ) -spaces (2013) (110)
Bochner-Weitzenb\"ock formula and Li-Yau estimates on Finsler manifolds (2011) (101)
Convex functionals of probability measures and nonlinear diffusions on manifolds (2005) (98)
Entropic Measure and Wasserstein Diffusion (2007) (93)
Mass transportation and rough curvature bounds for discrete spaces (2009) (92)
The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces (2012) (83)
Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below (2013) (77)
ON THE GEOMETRY DEFINED BY DIRICHLET FORMS (1995) (73)
Nonlinear martingale theory for processes with values in metric spaces of nonpositive curvature (2002) (72)
On the Lp-Spectrum of Uniformly Elliptic Operators on Riemannian Manifolds (1993) (70)
Local curvature-dimension condition implies measure-contraction property (2011) (69)
Construction of diffusion processes on fractals, $d$-sets, and general metric measure spaces (2005) (66)
Non-branching geodesics and optimal maps in strong $$CD(K,\infty )$$CD(K,∞)-spaces (2012) (66)
Non-Contraction of Heat Flow on Minkowski Spaces (2010) (59)
Wasserstein space over the Wiener space (2010) (51)
Heat kernel bounds on manifolds (1992) (48)
Super-Ricci flows for metric measure spaces (2016) (45)
A Semigroup Approach to Harmonic Maps (2005) (43)
Schrödinger Semigroups on Manifolds (1993) (43)
Karl Theodore Sturm: The geometric aspect of Dirichlet forms (1998) (38)
New Directions in Dirichlet Forms (1998) (37)
Optimal transport from Lebesgue to Poisson (2010) (36)
Sharp estimates for capacities and applications to symmetric diffusions (1995) (33)
Maximal Coupling of Euclidean Brownian Motions (2013) (32)
Nonlinear Markov operators associated with symmetric Markov kernels and energy minimizing maps between singular spaces (2001) (31)
Ricci tensor for diffusion operators and curvature-dimension inequalities under conformal transformations and time changes (2014) (29)
Nonlinear Markov Operators, Discrete Heat Flow, and Harmonic Maps Between Singular Spaces (2002) (29)
Measures charging no polar sets and additive functionals of Brownian motion (1992) (28)
Entropic Measure on Multidimensional Spaces (2009) (25)
Heat Flow on Time‐Dependent Metric Measure Spaces and Super‐Ricci Flows (2016) (24)
A curvature-dimension condition for metric measure spaces (2006) (22)
Gradient Flows for Semiconvex Functions on Metric Measure Spaces - Existence, Uniqueness and Lipschitz Continuity (2014) (21)
Is a diffusion process determined by its intrinsic metric (1997) (21)
Ricci Bounds for Euclidean and Spherical Cones (2010) (20)
The Feller Property for Absorption Semigroups (1996) (19)
Harnack's inequality for parabolic operators with singular low order terms (1994) (19)
Generalized Ricci bounds and convergence of metric measure spaces (2005) (16)
Wilfrid S. Kendall: From stochastic parallel transport to harmonic maps (1998) (16)
Expectations and martingales in metric spaces (2008) (16)
Generalized Orlicz spaces and Wasserstein distances for convex-concave scale functions (2011) (15)
Gaussian and non-Gaussian estimates for heat kernels on the Sierpinski gasket (1993) (14)
On a Liouville type theorem for harmonic maps to convex spaces via Markov chains (2008) (14)
Metric Measure Spaces with Variable Ricci Bounds and Couplings of Brownian Motions (2014) (13)
Gauge theorems for resolvents with application to Markov processes (1991) (11)
Heat flow with Dirichlet boundary conditions via optimal transport and gluing of metric measure spaces (2018) (11)
On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces (2014) (11)
Remarks about Synthetic Upper Ricci Bounds for Metric Measure Spaces (2017) (10)
Schrödinger operators with highly singular oscillating potentials (1992) (9)
Rigidity of cones with bounded Ricci curvature (2017) (9)
Optimal transport, gradient estimates, and pathwise Brownian coupling on spaces with variable Ricci bounds (2019) (9)
Monotonicity of Time-Dependent Transportation Costs and Coupling by Reflection (2012) (8)
A Monotone Approximation to the Wasserstein Diffusion (2011) (7)
Neumann heat flow and gradient flow for the entropy on non-convex domains (2017) (7)
A counterexample for the optimality of Kendall-Cranston coupling (2007) (7)
Distribution-Valued Ricci Bounds for Metric Measure Spaces, Singular Time Changes, and Gradient Estimates for Neumann Heat Flows (2019) (7)
Non-branching geodesics and optimal maps in strong CD(K,{\infty})-spaces (2012) (6)
Jürgen Jost: Nonlinear Dirichlet forms (1998) (6)
Monotone approximation of energy functionals for mappings into metric spaces, I. (1997) (6)
Schrödinger Operators with Arbitrary Nonnegative Potentials (1992) (5)
Umberto Mosco: Dirichlet forms and self-similarity (1998) (5)
Tamed spaces – Dirichlet spaces with distribution-valued Ricci bounds (2020) (5)
Functional inequalities for the heat flow on time‐dependent metric measure spaces (2019) (5)
Michael Röckner: Stochastic analysis on configuration spaces: Basic ideas and recent results (1998) (4)
A Discovery Tour in Random Riemannian Geometry (2020) (4)
On gluing Alexandrov spaces with lower Ricci curvature bounds (2020) (3)
ABOUT SYNTHETIC UPPER RICCI BOUNDS FOR METRIC MEASURE SPACES (2017) (2)
Some zero-one laws for additive functionals of Markov processes (1994) (2)
CD_loc(K,N) implies MCP(K,N) (2011) (2)
Conformally invariant random fields, quantum Liouville measures, and random Paneitz operators on Riemannian manifolds of even dimension (2021) (2)
Ricci Bounds for Euclidean and Spherical Cones (revised/extended version) (2011) (2)
Coupling, Regularity and Curvature (2005) (2)
Polyharmonic Fields and Liouville Quantum Gravity Measures on Tori of Arbitrary Dimension: from Discrete to Continuous (2023) (1)
Curvature-dimension conditions for diffusions under time change (2019) (1)
Curvature-dimension conditions under time change (2021) (1)
Non-Contraction of Heat Flow on Minkowski Spaces (2012) (0)
2 Dirichlet-Ferguson Process , Entropic Measure and Wasserstein Diffusion 2 . 1 The Dirichlet-Ferguson Process (2010) (0)
Arbeitsgemeinschaft: Optimal Transport and Geometry (2009) (0)
FA ] 1 2 Ju l 2 01 9 Curvature-dimension conditions under time change (2019) (0)
The curvature-dimension condition with finite N: consequences and transformations (2014) (0)
Maximal Coupling of Euclidean Brownian Motions (2013) (0)
On a Liouville type theorem for harmonic maps to convex spaces via Markov chains (Proceedings of RIMS Workshop on Stochastic Analysis and Applications) (2008) (0)
Monotonicity of Time-Dependent Transportation Costs and Coupling by Reflection (2013) (0)
Markov Semigroups and Harmonic Maps (2003) (0)
Harmonic Map Heat Flow generated by Markovian Semigroups (2003) (0)
On the structure of subordinate semigroups (1997) (0)
Neumann heat flow and gradient flow for the entropy on non-convex domains (2018) (0)
Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below (2015) (0)
9th International Conference on Stochastic Analysis and its Applications (2018) (0)
53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 49Q15 Geometric measure and integration theory, integral and normal currents in optimization (2022) (0)
Exponential Ergodicity for Time-Periodic McKean-Vlasov SDEs (2021) (0)
d-sets, and general metric measure spaces (2003) (0)
Curvature-dimension conditions under time change (2021) (0)
Heat Kernels, Stochastic Processes and Functional Inequalities (2020) (0)
A ug 2 00 8 Heat Flow on Finsler Manifolds (2009) (0)
Discretization and convergence for harmonic maps into trees (2004) (0)
Heat flow with Dirichlet boundary conditions via optimal transport and gluing of metric measure spaces (2020) (0)

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