Results 101 to 110 of about 149 (127)
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Gromov Boundaries of Non-proper Hyperbolic Geodesic Spaces
Tokyo Journal of Mathematics, 2022In the article under review it is shown that in a hyperbolic geodesic space, the sequential boundary can be identified as topological spaces with the quasi-geodesic boundary. Here the quasi-geodesic boundary is defined as \[ \partial_q X := \left\{r:[0,\infty) \to X \,|\, r \text{ is a quasi-geodesic ray}\right\} / \sim \] and \[ \partial_{q,p} X ...
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Teichmüller displacement theorem on Gromov hyperbolic spaces
Proceedings of the Edinburgh Mathematical SocietyAbstractGiven a Gromov hyperbolic domain $G\subsetneq \mathbb{R}^n$ with uniformly perfect Gromov boundary, Zhou and Rasila recently proved that for all quasiconformal homeomorphisms $\psi\colon G\to G$ with identity value on the Gromov boundary, the quasihyperbolic displacement $k_G(x,\psi(x))$ for all $x\in G$ is bounded above.
Qingshan Zhou +2 more
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Uniformly perfect boundaries of Gromov hyperbolic spaces
2009For a Gromov hyperbolic space X there exists a boundary at infinity ∂∞ X. This boundary is equipped in a natural way with a quasi-metric with respect to a base point o ∈ X. Uniformly perfectness is a weaker condition than connectedness, but the two properties belong together. Let X be a geodesic, Gromov hyperbolic Space.
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Uniformizing Gromov hyperbolic spaces
Astérisque, 2018Mario BONK, Juha HEINONEN, Pekka KOSKELA
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Gromov Hyperbolic Spaces and Applications to Complex Analysis
2017The goal of this chapter is to explain some connections between hyperbolicity in the sense of Gromov and complex analysis/geometry. For this, we first give a short presentation of the theory of Gromov hyperbolic spaces and their boundaries. Then, we will see that the Heisenberg group can be seen as the boundary at infinity of the complex hyperbolic ...
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On a Linear Gromov–Wasserstein Distance
IEEE Transactions on Image Processing, 2022Florian Beier +2 more
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On the average L-dimensions of typical measures belonging to the Gromov–Hausdorff–Prohoroff space
Journal of Mathematical Analysis and Applications, 2019Lars Olsen
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A note on the Gromov-Hausdorff-Prokhorov distance between (locally) compact metric measure spaces
Electronic Journal of Probability, 2013Romain Abraham +2 more
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Intersection theory on $\overline {\mathcal {M}}_{1,4}$ and elliptic Gromov-Witten invariants
Journal of the American Mathematical Society, 1997Ezra Getzler
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