Results 31 to 40 of about 5,510,773 (262)
Hitting Spheres on Hyperbolic Spaces [PDF]
Theory of Probability & Its Applications, 2013 For a hyperbolic Brownian motion on the Poincaré half-plane $\mathbb{H}^2$, starting from a point of hyperbolic coordinates $z=(η, α)$ inside a hyperbolic disc $U$ of radius $\barη$, we obtain the probability of hitting the boundary $\partial U$ at the point $(\bar η,\bar α)$.
CAMMAROTA, VALENTINA, ORSINGHER, Enzo
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Embedding Node Structural Role Identity into Hyperbolic Space [PDF]
International Conference on Information and Knowledge Management, 2020 Recently, there has been an interest in embedding networks in hyperbolic space, since hyperbolic space has been shown to work well in capturing graph/network structure as it can naturally reflect some properties of complex networks.
Lili Wang +3 more
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Non-hyperbolic complex space with a hyperbolic normalization [PDF]
Proceedings of the American Mathematical Society, 2000 We construct an example of a non-hyperbolic singular projective surface X X whose normalization
Zaidenberg, M, Kaliman, Shulim
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Holography on tessellations of hyperbolic space [PDF]
, 2020 We compute boundary correlation functions for scalar fields on tessellations of two- and three-dimensional hyperbolic geometries. We present evidence that the continuum relation between the scalar bulk mass and the scaling dimension associated with ...
M. Asaduzzaman +4 more
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APo-VAE: Text Generation in Hyperbolic Space [PDF]
North American Chapter of the Association for Computational Linguistics, 2020 Natural language often exhibits inherent hierarchical structure ingrained with complex syntax and semantics. However, most state-of-the-art deep generative models learn embeddings only in Euclidean vector space, without accounting for this structural ...
Shuyang Dai +5 more
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Flat bands and band-touching from real-space topology in hyperbolic lattices [PDF]
Physical review B, 2022 Motivated by the recent experimental realizations of hyperbolic lattices in circuit quantum electrodynamics and in classical electric-circuit networks, we study flat bands and band-touching phenomena in such lattices.
T. Bzdušek, J. Maciejko
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Rocky Mountain Journal of Mathematics, 2005 LaTeX, 22 pages, to appear in Rocky Mountain J ...
Blair, D.E., Davidov, J., Mus˘karov, O.
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Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity [PDF]
, 2008 We study the geometry of nonrelatively hyperbolic groups. Generalizing a result of Schwartz, any quasi-isometric image of a non-relatively hyperbolic space in a relatively hyperbolic space is contained in a bounded neighborhood of a single peripheral ...
Behrstock, Jason +2 more
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Acylindrically hyperbolic groups [PDF]
, 2015 We say that a group $G$ is acylindrically hyperbolic if it admits a non-elementary acylindrical action on a hyperbolic space. We prove that the class of acylindrically hyperbolic groups coincides with many other classes studied in the literature, e.g ...
Osin, D.
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L-space surgery and twisting operation [PDF]
, 2015 A knot in the 3-sphere is called an L-space knot if it admits a nontrivial Dehn surgery yielding an L-space, i.e. a rational homology 3-sphere with the smallest possible Heegaard Floer homology.
Motegi, Kimihiko
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