Results 21 to 30 of about 15,634 (261)
Non-hyperbolic complex space with a hyperbolic normalization [PDF]
Proceedings of the American Mathematical Society, 2000 By a result of \textit{M. H. Kwack} [Ann. Math. (2) 90, 9-22 (1969; Zbl 0179.12103)] a normalization of a hyperbolic complex space is also hyperbolic (in the sense of S. Kobayashi). In the present note, the authors show that the converse is not true constructing a non-hyperbolic singular projective surface whose normalization is hyperbolic.
Zaidenberg, M, Kaliman, Shulim
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Statistical Hyperbolicity in Teichmüller Space [PDF]
Geometric and Functional Analysis, 2014 In this paper we explore the idea that Teichm ller space is hyperbolic "on average." Our approach focuses on studying the geometry of geodesics which spend a definite proportion of time in some thick part of Teichm ller space. We consider several different measures on Teichm ller space and find that this behavior for geodesics is indeed typical ...
Dowdall, Spencer +2 more
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Hyperbolic matrix factorization improves prediction of drug-target associations
Scientific Reports, 2023 Past research in computational systems biology has focused more on the development and applications of advanced statistical and numerical optimization techniques and much less on understanding the geometry of the biological space.
Aleksandar Poleksic
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Nonlinear Choquard equations on hyperbolic space [PDF]
Opuscula Mathematica, 2022 In this paper, our purpose is to prove the existence results for the following nonlinear Choquard equation \[-\Delta_{\mathbb{B}^{N}}u=\int_{\mathbb{B}^N}\dfrac{|u(y)|^{p}}{|2\sinh\frac{\rho(T_y(x))}{2}|^\mu} dV_y \cdot |u|^{p-2}u +\lambda u\] on the ...
Haiyang He
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Topological Bihyperbolic Modules
Communications in Advanced Mathematical Sciences, 2021 The aim of this article is introducing and researching hyperbolic modules, bihyperbolic modules, topological hyperbolic modules, and topological bihyperbolic modules.
Merve Bilgin, Soley Ersoy
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Translation-Based Embeddings with Octonion for Knowledge Graph Completion
Applied Sciences, 2022 Knowledge representation learning achieves the automatic completion of knowledge graphs (KGs) by embedding entities into continuous low-dimensional vector space.
Mei Yu +7 more
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Analysis and Geometry in Metric Spaces, 2016 We consider a ‘contracting boundary’ of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.We topologize this set via the Gromov product, in analogy to the topology of the ...
Cashen Christopher H.
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Hyperbolicity in Teichmüller space [PDF]
Geometry & Topology, 2014 We review and organize some results describing the behavior of a Teichm ller geodesic and draw several applications: 1) We show that Teichm ller geodesics do not back track. 2) We show that a Teichm ller geodesic segment whose endpoints are in the thick part has the fellow travelling property. This fails when the endpoints are not necessarily in the
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
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Scientific Reports, 2022 Hyperbolic network models have gained considerable attention in recent years, mainly due to their capability of explaining many peculiar features of real-world networks.
Bianka Kovács +2 more
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