Results 21 to 30 of about 95 (50)
Lipschitz and H\"older Continuity in Reproducing Kernel Hilbert Spaces
, 2023 Reproducing kernel Hilbert spaces (RKHSs) are very important function spaces, playing an important role in machine learning, statistics, numerical analysis and pure mathematics. Since Lipschitz and H\"older continuity are important regularity properties,
Fiedler, Christian
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A Lipschitz version of de Rham theorem for $L_p$-cohomology
, 2022 We focus our attention on the de Rham operators' underlying properties which are specified by intrinsic effects of differential geometry structures. And then we apply the procedure of regularization in the context of Lipschitz version of de Rham calculus
Gol'dshtein, Vladimir, Panenko, Roman
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Dvoretzky-type theorem for Ahlfors regular spaces
, 2021 It is proved that for any ...
Mendel, Manor
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Free products of coarsely convex spaces and the coarse Baum-Connes conjecture
, 2023 The first author and Oguni introduced a wide class of metric spaces, called coarsely convex spaces. It includes Gromov hyperbolic metric spaces, CAT(0) spaces, systolic complexes, proper injective metric spaces.
Fukaya, Tomohiro, Matsuka, Takumi
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New Hausdorff type dimensions and optimal bounds for bilipschitz invariant dimensions
, 2023 We introduce a new family of fractal dimensions by restricting the set of diameters in the coverings in the usual definition of the Hausdorff dimension.
Balka, Richárd, Keleti, Tamás
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Curtain Model for CAT(0) Spaces and Isometries [PDF]
This paper studies the dynamics of isometries in the curtain model, which is used to capture the hyperbolicity in a fixed CAT(0) space. We establish several fundamental properties and fully classify the behavior of semisimple isometries of a CAT(0) space
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, 2022 In this note we deconstruct and explore the components of a theorem of Carrasco Piaggio, which relates Ahlfors regular conformal gauge of a compact doubling metric space to weights on Gromov-hyperbolic fillings of the metric space.
Shanmugalingam, Nageswari
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(Almost isometric) local retracts in metric spaces
, 2023 We introduce the notion of (almost isometric) local retracts in metric space as a natural non-linear version of the concepts of locally complemented and almost isometric ideals from Banach spaces.
Quilis, Andrés, Zoca, Abraham Rueda
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Llarull's theorem on punctured sphere with $L^\infty$ metric
The classical Llarull theorem states that a smooth metric on $n$-sphere cannot have scalar curvature no less than $n(n-1)$ and dominate the standard spherical metric at the same time unless it is the standard spherical metric. In this work, we prove that
Chu, Jianchun +2 more
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Coarse entropy of metric spaces
, 2022 Coarse geometry studies metric spaces on the large scale. The recently introduced notion of coarse entropy is a tool to study dynamics from the coarse point of view.
Geller, William +2 more
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