Martin Kell

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the structure of $$\mathrm {RCD}$$ spaces with upper curvature bounds	2022	Vitali Kapovitch Martin Kell C. Ketterer
+ PDF Chat	On the existence of dual solutions for Lorentzian cost functions	2019	Martin Kell Stefan Suhr
+	On the structure of RCD spaces with upper curvature bounds	2019	Vitali Kapovitch Martin Kell C. Ketterer
+ PDF Chat	On Cheeger and Sobolev differentials in metric measure spaces	2019	Martin Kell
+	On the structure of RCD spaces with upper curvature bounds	2019	Vitali Kapovitch Martin Kell C. Ketterer
+ PDF Chat	Symmetric orthogonality and non-expansive projections in metric spaces	2018	Martin Kell
+	On the existence of dual solutions for Lorentzian cost functions	2018	Martin Kell Stefan Suhr
+	On quotients of spaces with Ricci curvature bounded below	2018	Fernando Galaz‐García Martin Kell Andrea Mondino Gerardo Sosa
+ PDF Chat	On the volume measure of non-smooth spaces with Ricci curvature bounded below	2018	Martin Kell Andrea Mondino
+ PDF Chat	Sectional Curvature-Type Conditions on Metric Spaces	2018	Martin Kell
+	On the existence of dual solutions for Lorentzian cost functions	2018	Martin Kell Stefan Suhr
+	Transport maps, non-branching sets of geodesics and measure rigidity	2017	Martin Kell
+	Transport maps, non-branching sets of geodesics and measure rigidity	2017	Martin Kell
+	Transport maps, non-branching sets of geodesics and measure rigidity	2017	Martin Kell
+ PDF Chat	q-Heat flow and the gradient flow of the Renyi entropy in the p-Wasserstein space	2016	Martin Kell
+	Symmetric orthogonality and non-expansive projections in metric spaces	2016	Martin Kell
+	Sectional curvature-type conditions on Finsler-like metric spaces	2016	Martin Kell
+	Sectional curvature-type conditions on metric spaces	2016	Martin Kell
+	Sectional curvature-type conditions on metric spaces	2016	Martin Kell
+	Symmetric orthogonality and non-expansive projections in metric spaces	2016	Martin Kell
+ PDF Chat	On interpolation and curvature via Wasserstein geodesics	2015	Martin Kell
+	On Cheeger and Sobolev differentials in metric measure spaces	2015	Martin Kell
+ PDF Chat	Representation of Markov chains by random maps: existence and regularity conditions	2015	Jürgen Jost Martin Kell Christian S. Rodrigues
+	A note on non-negatively curved Berwald spaces	2015	Martin Kell
+	On Cheeger and Sobolev differentials in metric measure spaces	2015	Martin Kell
+	A notion of nonpositive curvature for general metric spaces	2014	Miroslav Bačák Bobo Hua Jürgen Jost Martin Kell Armin Schikorra
+	On curvature conditions using Wasserstein spaces	2014	Martin Kell
+	q-heat flow and the gradient flow of the Renyi entropy in the p-Wasserstein space	2014	Martin Kell
+ PDF Chat	Uniformly Convex Metric Spaces	2014	Martin Kell
+	q-heat flow and the gradient flow of the Renyi entropy in the p-Wasserstein space	2014	Martin Kell
+	A Note on Lipschitz Continuity of Solutions of Poisson Equations in Metric Measure Spaces	2013	Martin Kell
+	Harmonic functions on metric measure spaces	2013	Bobo Hua Martin Kell Chao Xia
+	A Note on Lipschitz Continuity of Solutions of Poisson Equations in Metric Measure Spaces	2013	Martin Kell
+	Conley index of isolated equilibria	2011	Martin Kell
+	Local attractor continuation of non-autonomously perturbed systems	2011	Martin Kell
+	Stability of the global attractor under Markov-Wasserstein noise	2011	Martin Kell

Common Coauthors

Coauthor	Papers Together
C. Ketterer	3
Stefan Suhr	3
Vitali Kapovitch	3
Andrea Mondino	2
Bobo Hua	2
Jürgen Jost	2
Fernando Galaz‐García	1
Miroslav Bačák	1
Armin Schikorra	1
Christian S. Rodrigues	1
Gerardo Sosa	1
Chao Xia	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani	13
+ PDF Chat	On the geometry of metric measure spaces. II	2006	Karl‐Theodor Sturm	13
+	Optimal Transport: Old and New	2013	Cédric Villani	9
+ PDF Chat	Metric measure spaces with Riemannian Ricci curvature bounded from below	2014	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	9
+	Metric Spaces of Non-Positive Curvature	1999	Martin R. Bridson André Haefliger	9
+ PDF Chat	On the geometry of metric measure spaces	2006	Karl‐Theodor Sturm	8
+ PDF Chat	On the measure contraction property of metric measure spaces	2007	Shin‐ichi Ohta	6
+	Uniform convexity and smoothness, and their applications in Finsler geometry	2008	Shin‐ichi Ohta	6
+	Differentiability of Lipschitz Functions on Metric Measure Spaces	1999	Jeff Cheeger	6
+ PDF Chat	On interpolation and curvature via Wasserstein geodesics	2015	Martin Kell	6
+ PDF Chat	Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces	2013	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	6
+	The geometry of geodesics	1955	Herbert Busemann	5
+ PDF Chat	Non-Contraction of Heat Flow on Minkowski Spaces	2012	Shin‐ichi Ohta Karl‐Theodor Sturm	5
+	Alexandrov meets Lott--Villani--Sturm	2010	Anton Petrunin	5
+	Cones over metric measure spaces and the maximal diameter theorem	2014	C. Ketterer	5
+	The splitting theorem in non-smooth context	2013	Nicola Gigli	5
+	Jensen’s inequality on convex spaces	2013	Kazuhiro Kuwae	5
+ PDF Chat	Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below	2015	Nicola Gigli Tapio Rajala Karl‐Theodor Sturm	4
+ PDF Chat	Curvature in Hilbert geometries. II	1968	Paul J. Kelly E. G. Straus	4
+	On Closed Geodesics in Non-negatively Curved Finsler Structures with Large Volume Growth	2014	Sajjad Lakzian	4
+ PDF Chat	Finsler interpolation inequalities	2009	Shin‐ichi Ohta	4
+	A.D. Alexandrov spaces with curvature bounded below	1992	Yu. D. Burago M. Gromov G. Perelman	4
+ PDF Chat	Nonpositive Curvature and the Ptolemy Inequality	2007	Thomas Foertsch Alexander Lytchak Viktor Schroeder	4
+ PDF Chat	Harmonic functions of polynomial growth on singular spaces with nonnegative Ricci curvature	2010	Bobo Hua	4
+	The local structure of length spaces with curvature bounded above	1999	Bruce Kleiner	4
+	Nonlinear Potential Theory on Metric Spaces	2011	Anders Björn Jana Björn	4
+	Localization and tensorization properties of the curvature-dimension condition for metric measure spaces	2010	Kathrin Bacher Karl‐Theodor Sturm	4
+ PDF Chat	Weak curvature conditions and functional inequalities	2007	John Lott Cédric Villani	4
+	Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients	2015	Juha Heinonen Pekka Koskela Nageswari Shanmugalingam Jeremy T. Tyson	4
+	Transport maps, non-branching sets of geodesics and measure rigidity	2017	Martin Kell	4
+	Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm	2012	Tapio Rajala	4
+ PDF Chat	Structure theory of metric measure spaces with lower Ricci curvature bounds	2019	Andrea Mondino Aaron Naber	4
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	4
+ PDF Chat	Local Poincaré inequalities from stable curvature conditions on metric spaces	2011	Tapio Rajala	4
+ PDF Chat	On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces	2014	Matthias Erbar Kazumasa Kuwada Karl-Theodor Sturm	4
+ PDF Chat	Existence and uniqueness of optimal transport maps	2014	Fabio Cavalletti Martin Huesmann	4
+	On the differential structure of metric measure spaces and applications	2012	Nicola Gigli	4
+ PDF Chat	Optimal maps in essentially non-branching spaces	2016	Fabio Cavalletti Andrea Mondino	4
+ PDF Chat	Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below	2013	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	4
+	OPTIMAL MAPS IN NON BRANCHING SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW	2012	Nicola Gigli	4
+	Differential Geometric Aspects of Alexandrov Spaces	1997	Yukio Otsu	3
+	Geodetically Convex Sets in the Heisenberg Group	2005	Roberto Monti Matthieu Rickly	3
+	Convexities of metric spaces	2007	Shin‐ichi Ohta	3
+ PDF Chat	Polar factorization of maps on Riemannian manifolds	2001	Robert J. McCann	3
+	Measure rigidity of Ricci curvature lower bounds	2015	Fabio Cavalletti Andrea Mondino	3
+ PDF Chat	On the Structure of Complete Manifolds of Nonnegative Curvature	1972	Jeff Cheeger Detlef Gromoll	3
+	Ball Versus Distance Convexity of Metric Spaces	2004	Thomas Foertsch	3
+	Stability of the global attractor under Markov-Wasserstein noise	2011	Martin Kell	3
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding	3
+	Polar factorization and monotone rearrangement of vector‐valued functions	1991	Yann Brenier	3