M
Martin Kell
Researcher at University of Tübingen
Publications - 32
Citations - 401
Martin Kell is an academic researcher from University of Tübingen. The author has contributed to research in topics: Curvature & Metric space. The author has an hindex of 11, co-authored 31 publications receiving 319 citations. Previous affiliations of Martin Kell include Max Planck Society & Institut des Hautes Études Scientifiques.
Papers
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On the volume measure of non-smooth spaces with Ricci curvature bounded below
Martin Kell,Andrea Mondino +1 more
TL;DR: In this paper, it was shown that a Lipschitz differentiability space is rectifiable as a metric measure space with respect to the Hausdorff measure, which is a special case of the Alexandrov space.
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Harmonic functions on metric measure spaces
Bobo Hua,Martin Kell,Chao Xia +2 more
TL;DR: In this paper, a Cheng-Yau type local gradient estimate for harmonic functions on metric measure spaces with Riemannian Ricci curvature bounded from below is presented. And various optimal dimension estimates for the spaces of polynomial growth harmonic functions with nonnegative RiemANNIAN curvature are derived.
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On quotients of spaces with Ricci curvature bounded below
TL;DR: In this article, it was shown that the Ricci curvature lower bound of RCD ⁎ (K, N ) -spaces admits isomorphic compact group actions and is stable for metric foliations and submersions.
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Transport maps, non-branching sets of geodesics and measure rigidity
TL;DR: In this paper, the authors investigated the relationship between a general existence of transport maps of optimal couplings with absolutely continuous first marginal and the property of the background measure called essentially non-branching introduced by Rajala-Sturm.
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On interpolation and curvature via Wasserstein geodesics
TL;DR: In this article, a proof of the interpolation inequality along geodesics in $p$-Wasserstein spaces is given, which was the main ingredient to prove the Borel-Brascamp-Lieb inequality for general Riemannian and Finsler manifolds and led Lott-Villani and Sturm to define an abstract Ricci curvature condition.