Results 1 to 10 of about 4,405,798 (247)
A characterization of hyperbolic spaces [PDF]
Groups, Geometry, and Dynamics, 2007 We show that a geodesic metric space, and in particular the Cayley graph of a finitely generated group, is hyperbolic in the sense of Gromov if and only if intersections of any two metric balls is itself “almost” a metric ball. In particular, \mathbb R -trees are characterized among the ...
Chatterji, Indira, Niblo, Graham A.
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Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space
Journal of Applied Mathematics, 2014 We consider hyperbolic rotation (G0), hyperbolic translation (G1), and horocyclic rotation (G2) groups in H3, which is called Minkowski model of hyperbolic space.
Mahmut Mak, Baki Karlığa
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Embeddings of Gromov Hyperbolic Spaces [PDF]
Geometric and Functional Analysis, 2000 To state the main result of the paper we start with two definitions: A metric space \(X\) has ``bounded growth at some scale'' if there are constants \(R>r>0\) and a positive integer \(N\) such that every open ball of radius \(R\) in \(X\) can be covered by \(N\) open balls of radius \(r\). A metric space \(X\) is ``roughly similar'' to a metric space \
Bonk, M., Schramm, O.
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Trudinger–Moser inequality in the hyperbolic space ℍN
Advances in Nonlinear Analysis, 2013 We prove a version of the Trudinger–Moser inequality in the hyperbolic space ℍN, which gives a sharper version of the Trudinger–Moser inequality on the Euclidean unit ball, as well as a hyperbolic space version of the Onofri inequality, and prove the ...
Mancini Gianni +2 more
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Wind Resistant Analysis of 5000m Hyperbolic Parabolic Spatial Mixed Cable Suspension Bridge [PDF]
E3S Web of Conferences, 2021 Combined with the engineering background of a 5000-meter Strait Suspension Bridge, the configuration study of the hyperbolic parabolic space cable suspension bridge was carried out, and the ANSYS finite element analysis model was established to analyze ...
Chen ZhaoYang, Xu WenPing
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Knowledge Graph Completion Based on Entity Descriptions in Hyperbolic Space
Applied Sciences, 2022 Hyperbolic space has received extensive attention because it can accurately and concisely represent hierarchical data. Currently, for knowledge graph completion tasks, the introduction of exogenous information of entities can enrich the knowledge ...
Xiaoming Zhang +2 more
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MANAS: Journal of Engineering, 2023 In this paper, we introduce the definition of a new class of generalized nonexpansivemappings in hyperbolic space. Additionally, we construct the rewritten version ofthe Mann iteration process in hyperbolic space.
Nazlı Kadıoğlu Karaca
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Fidelity of hyperbolic space for Bayesian phylogenetic inference.
PLoS Computational Biology, 2023 Bayesian inference for phylogenetics is a gold standard for computing distributions of phylogenies. However, Bayesian phylogenetics faces the challenging computational problem of moving throughout the high-dimensional space of trees.
Matthew Macaulay +2 more
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Hyperbolic space cosmologies [PDF]
Journal of High Energy Physics, 2003 33 pages, 2 figures; v2 refs added; v3 minor change in text, JHEP ...
Chen, Chiang-Mei +4 more
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Equality of internal angles and vertex points in conformal hyperbolic triangles
Cumhuriyet Science Journal, 2020 In this article, by using the conformal structure in Euclidean space, the conformal structures in hyperbolic space and the equality of the internal angles and vertex points of conformal triangles in hyperbolic space are given. Especially in these special
Ümit Tokeşer, Ömer Alsan
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